Answers
In first question, the value of Angle 1 is 42 and the value of Angle 2 is 48.
In second question, the value of Angle 1 is 11, Angle 2 is 159, Angle 3 is 11, Angle 4 is 165.
In the given question, have two question.
Firstly solving the question 1.
1) In question 1 we have to find the measure of Angle 1 and Angle 2.
There is figure. In this figure we can see that it is a right angle.
The right angle is of 90 degree.
So x+x+6=90
Simplifying the expression
2x+6=90
Subtract 6 on both side
2x+6-6=90-6
2x=84
Divide by 2 on both side
2/2x=84/2
x=42
The value of x is 42.
Now The value of Angle 1 is 42.
Now finding the Angle 2.
Angle 2 is x+6 and x=42
So
=42+6
=48
Hence, the value of Angle 2 is 48.
2) In this question we have to find the value of Angle 1,2,3 and 4.
To solve this question we using the straight line angle.
As we know that the angle of straight angle is 180.
So from the figure we can see that
∠2+∠3=180
As we know that ∠3=2x+3
So ∠2+2x+3= 180
Subtract 3 on both side
∠2+2x+13−13=180−13
∠2+2x=167................Equation 1
As we can also know from the figure that
∠1+∠4=180
And ∠1=x+7
x+7+∠4=180
Subtract 7 on both side
x+7+∠4−7=180−7
∠4+x=173.......................Equation 2
From the corresponding angle theorem we know
∠1=∠3
2x+3=x+7
Subtract 3 on both side
2x+3−3=x+7−3
2x=x+4
Subtract x on both side
2x−x=x+4−x
x=4
Now putting the value of x in Equation 1
∠2+2x=167
∠2+2×4=167
∠2+8=167
Subtract 8 on both side
∠2+8−8=167−8
∠2=159
Now putting the value of x in Equation 2
∠4+x=173
∠4+4=173
∠4+4=173
Subtract 4 on both side
∠4+4−4=173−8
∠4=165
∠3=2x+3
∠3=2×4+3
∠3=8+3
∠3=11
∠1=x+7
∠1=4+7
∠1=11
Hence, the value of Angle 1 is 11, Angle 2 is 159, Angle 3 is 11, Angle 4 is 165.
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Related Questions
Factor the trinomial completely.3x2 - 13x - 10
Answers
3x2 - 13x - 10
multiplying the first and third terms we have
-30x2
The factors of -30 that will be added to get - 13 are -15 and 2
so we split the expression further
= 3x2 - 15x + 2x - 10
= 3x (x - 5) + 2 (x - 5)
= (x -5)(3x + 2)
Salma runs 6 miles in 55 minutes. At the same rate, how many miles would she run in 44 minutes?
Answers
Answer:
The number of miles she would run in 44 minutes is;
[tex]4.8\text{ miles}[/tex]Explanation:
Given that;
Salma runs 6 miles in 55 minutes;
The rate at which she run is;
[tex]\text{rate =}\frac{\text{ distance}}{\text{time}}=\frac{6}{55}miles\text{ per minute}[/tex]At the same rate, the distance it will cover in 44 minutes is;
[tex]\begin{gathered} \text{time}=\frac{\text{distance}}{\text{rate}} \\ \text{distance}=\text{time}\times rate \\ \text{distance}=44\times\frac{6}{55} \\ \text{distance = 4.8 miles} \end{gathered}[/tex]The number of miles she would run in 44 minutes is;
[tex]4.8\text{ miles}[/tex]Julia works for a company selling light bulbs. She sells fluorescent light bulbs for $5 a piece and incandescent light bulbs for $2. To meet her quota, she needs to sell over 100 light bulbs and make at least $350.If the solution region is the amount of light bulbs Julia needs to sell to meet her quota, which graph's shaded area represents the solution region?
Answers
Given:
Julia works for a company selling light bulbs. She sells fluorescent light bulbs for $5 a piece and incandescent light bulbs for $2.
Let the number of the fluorescent light bulbs = y
And the number of the incandescent light bulbs = x
To meet her quota, she needs to sell over 100 light bulbs and make at least $350.
So, we can write the following system of inequalities:
[tex]\begin{gathered} x+y>100 \\ 2x+5y\ge350 \end{gathered}[/tex]Now, we will graph the system of the inequalities to find the area of the solution
The graph will be as follows:
So, the answer will be the graph that is on the upper right-side.
Graph x
This pyramid has the same base as the prism and its height is three times the height of the prism. What is the ratio of the volume of thepyramid to the volume of the prism?1A} volume of Pyramidvolume of priamB} volume of pyramidvolume of priuamC} volume of pyramidvolume of priimD} Volume of pyramidvolume of priem
Answers
This pyramid has the same base as the prism and its height is three times the height of the prism. What is the ratio of the volume of the
pyramid to the volume of the prism?
1
A} volume of Pyramid
volume of priam
B} volume of pyramid
volume of priuam
C} volume of pyramid
volume of priim
D} Volume of pyramid
volume of
prime
____________________________________________
volume of the prism
Javier biked 4 miles on Tuesday, 2 miles on Wednesday , and 7 miles on Saturday . if he hopes to bikes a total of 30 miles for the week , how many miles should Javier bike on Sunday
Answers
Answer:
Step-by-step explanation:
4 miles plus 2 miles equals 6 miles, then you add 7 miles to the 6 which equals 13, lastly you minus 13 from 30 then you get your answer, which is 17.
may you please help me! Whether you can help or not I hope you are doing amazing!!the instructions at the top fully say " use the compass and straightedge to construct a segment congruent to WX with endpoint P."
Answers
Step Guide:
Step 1: Place your compass at W and extend it to X.
Step 2: Using the same length, place your compass at P and mark an arc.
Step 3: Using the straightedge, draw a line from P to meet the arc.
Step 4: Label the point of intersection of the line and the curve Q.
This gives segment PQ that is congruent to WX,
11. What are the zeros for the following quadratic relation: *
y = 5x² - 1125
O x = 0
O x = 5,15
O x= -15,5
O x=-15, 15
Answers
Answer:
x=15,-15
Step-by-step explanation:
5x^2-1125=0
5x^2=1125
x^2=225
x=square root of 225
x=+15 or -15
4. A garden sells flowers in trays. Each tray has 11 flowers on it. If the garden sells 124 trays, how many flowers did the garden sell in all?
Answers
A garden sells flowers in trays
each tray has 11 flowers on it
mathematically,
1 tray = 11 flowers
if the garden now sells 124 trays, then how many flowers do we have
1 tray = 11 flowers
124 trays = x flowers
cross multiplication
x * 1 = 124 x 11
x = 1364 flowers
,the answer is 1364 flowers 11 flowers
if the garden now sells 124 trays, then how many flowe
help pleaseee !!
thank you !!!!!
Answers
The value of x for the given figure is 7.
According to the question,
We have the following information:
We have a figure where two parallel lines are cut by another line. Some of the measurements of angles are given.
Now, we know that angle made on a straight line is 180°.
So, we have the following expression:
∠4+118 = 180
∠4 = 180-118
∠4 = 62°
Now, we know that alternate interior opposite angles are equal. In this case, ∠4 and (8x+6) are alternate interior opposite angles.
(8x+6) = m∠4
8x+6 = 62
Subtracting 6 from both the sides:
8x = 62-6
8x = 56
x = 56/8
x = 7
Hence, the value of x for the given figure is 7.
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I just need to answer I'm trying to verify question
Answers
You have the following system of equations:
x + 3y = 1
y = 2x + 5
in order to solve the previous system, replace the expression y = 2x + 5, into the first equation and solve for x, as follow:
x + 3y = 1
x + 3(2x + 5) = 1 apply distribution property
x + 6x + 15 = 1 simplify lef side
7x + 15 = 1 subtrac 15 both sides
7x = 1 - 15
7x = -14 divide by 2 both sides
x = -14/2
x = -7
replace the previous value of x into the second equation to get y:
y = 2x + 5
y = 2(-7) + 5
y = -14 + 5
y = -9
Hence, the solution to the given system of equations is:
x = -7
y = -9
(-7 , -9)
There are two numbers that
multiply to 45 and combine to 18. Find
the two numbers, then the SMALLER
number is your answer for this question.
Answers
Answer: 3 x 15= 45, 3 + 15= 18, 3 is the smaller number
Step-by-step explanation:
1st find the factors of 45 then find which factors add to 18
Don Williams wised his small motorboat to go 5 miles upstream to his favorite fishing spot. Against the current, the trip takes 5/6 hour. With the current the trip takes 1/2 hour. How fast can the boat travel in still water ? What is the speed of the current in still water the boat speed is __ mph. The speed of the current is ___ mph
Answers
let s = speed in still water
let c = rate of the current
then
(s-c) = effective speed up-stream
and
(s+c) = effective speed down-stream
Write a distance equation for each way; dist = time * speed
5/6*(s-c) = 5
1/2 *(s+c) = 5
Now we get rid of the fractions
5(s-c)=30
s + c = 10
5s - 5c = 30
s + c = 10
siplifying:
s - c = 6 (1)
s + c = 10 (2)
adding:
2s = 16, then s = 8
8 mph is the boat speed in still water
According with (2):
8 + c = 10, then c = 2
2 mph is the speed of the current
Which equations represent a linear function? Select two. a. y = x-1 b. y = – 4.5 C. 3x – 4y = 2 d. 5x2 = 10y e. y = 1/2x2 +6
Answers
Explanation
a linear function must have
dependent and independent variables, ( y and x in this case)and the exponent of the independent vairable must be 1, so
Step 1
Check
a)
[tex]a)\text{ y=x-1}[/tex]this is a linear function
b)
[tex]y=4.5[/tex]this is not a functin, this expression has not x
c)
[tex]3x-4y=2[/tex]this functin has x and y, and the exponent of x is 1, so, this is a linear function
d)
[tex]5x^2=10y[/tex]this function has x and y, but the exponent is 2, so this is not a linear function
e)
[tex]y=\frac{1}{2}x^2+6[/tex]this function has x and y, but the exponent is 2, so this is not a linear function
i hope this helps you
-21x + 3 (-x-4) - 8x
Answers
Answer:
Step-by-step explanation:
-21x + 3(-x-4) -8x =
-21x -3x -12 - 8x=
-32x -12=
-32x = 12
X= -3/8
Solve the equation 5.9g + 4 = 3.9g + 12.
Answers
Rearranging an equation:
isolating for a variable (g)merge like terms and solveuse inverse operations[tex]5.9g+4=3.9g+12[/tex]
[tex]5.9g-3.9g=12-4[/tex]
[tex]2g= 8[/tex]
[tex]\frac{2g}{2} = \frac{8}{2}[/tex]
[tex]g = 4[/tex]
g = 4
Answer:
g=4
Step-by-step explanation:
5.9g+4=3.9g+12
-4 -4
5.9g= 3.9g+8
-3.9g -3.9g
2g=8
/2 /2
g=4
where can I find L1 and L4 ? for missing alternate angles
Answers
< 1 = 113.1 degrees
< 4 = 66.9 degrees
Explanation:Alternate interior angles are equal
< 1 = < 3 = 113.1 degrees
< 2 = < 4 = 66.9 degrees
9. Use the Distributive Property to solve the
equation 28-(3x+4)= 2(x+6) +x.
WITH SOLUTION please
Answers
Answer:
x=2
Step-by-step explanation:
T= 2
28 - (3æ+4) = 2(r + 6) + *
We need to use the distributive property for the
right side.
28 - 3z -4 = 2a + 12 + z
28 -3z -4 = (2) (æ) + (2)(6) + æ)
From here we need to subtract 3æ from both side.
-3æ + 24 -3 = 3æ + 12 – 3¢
3æ + 24 = 3z + 12
6z + 24 = 12
Transfer +24 on the right side. (P.S. don't forget to
change the sign)
62 = 12 - 24
6 = - 12
Finally, divide both sides by -6
6x/-6 = -13/-6
x=2
I hope I helped you
your gross income is 4520.00 your deductions are FICA (7.65%), federal tax withholding (11.75%), and state tax withholding (8.5%). Your fixed expenses are 30% of your realized income. You saved 5 months' worth in an emergency fund, placing 75% in a 60-day CD at a 5.25% APR and the rest in a regular savings account at a 3.8% APR. How much is the total interest earned between both accounts in 60 days?
Answers
The total interest earned between both accounts in 60 days is $92.01.
What is the interest?Given gross income = $4520/ month
Deductions = FICA+federal withholding + state with holding
Deductions = 7.65%+ 11.75%+8.5%= 27.9%
Total deductions = 27.9% of 4520= $1261.08
Net income = Gross income - Deductins = 4520-1261.08= $3258.92
Now 30 % of these are fixed expenses
Fixed expenses = 30% of 3258.92= $977.676
Amount left for month = 3258.92-977.676= $2281.244
5 months worth = 5*2281.244= $11406.22
Total money in the emergency fund = $11406.22
Since 75% in CD, amount imvested = 75% of 11406.22= 8554.665
APR= 5.25%
Number of days = 60
A= P*(1+r) ^n
Assuming they compound daily
r= 0.0525/365= 0.0001438
n= 60
A= 8554.665*(1+0.0001448) ^60
A= $8628.81
Regular savings:
25% in RS, Amount invested = 25% of 11406.22= 2851.55
APR= 3.8%
Number of days = 60
A= P*(1+r) ^n
Assuming they compound daily
r= 0.038/365= 0.0001041
n= 60
A= 2851.55*(1+0.0001041) ^60
A= $2869.42
Total interest earned = (2869.42+8628.81) -11406. l22
= $92.01
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19) Given that f(x)x² - 8x+ 15x² - 25find the horizontal and vertical asymptotes using the limits of the function.A) No Vertical or Horizontal asymptotesB) No Vertical asymptotesHorizontal asymptote aty - 1Vertical asymptote at x = 5Horizontal asymptote at y = 1D) Vertical asymptote at x = -5Horizontal asymptote at y = 1
Answers
EXPLANATION
Since we have the function:
[tex]f(x)=\frac{x^2-8x+15}{x^2}[/tex]Vertical asymptotes:
[tex]For\:rational\:functions,\:the\:vertical\:asymptotes\:are\:the\:undefined\:points,\:also\:known\:as\:the\:zeros\:of\:the\:denominator,\:of\:the\:simplified\:function.[/tex]Taking the denominator and comparing to zero:
[tex]x+5=0[/tex]The following points are undefined:
[tex]x=-5[/tex]Therefore, the vertical asymptote is at x=-5
Horizontal asymptotes:
[tex]\mathrm{If\:denominator's\:degree\:>\:numerator's\:degree,\:the\:horizontal\:asymptote\:is\:the\:x-axis:}\:y=0.[/tex][tex]If\:numerator's\:degree\:=\:1\:+\:denominator's\:degree,\:the\:asymptote\:is\:a\:slant\:asymptote\:of\:the\:form:\:y=mx+b.[/tex][tex]If\:the\:degrees\:are\:equal,\:the\:asymptote\:is:\:y=\frac{numerator's\:leading\:coefficient}{denominator's\:leading\:coefficient}[/tex][tex]\mathrm{If\:numerator's\:degree\:>\:1\:+\:denominator's\:degree,\:there\:is\:no\:horizontal\:asymptote.}[/tex][tex]\mathrm{The\:degree\:of\:the\:numerator}=1.\:\mathrm{The\:degree\:of\:the\:denominator}=1[/tex][tex]\mathrm{The\:degrees\:are\:equal,\:the\:asymptote\:is:}\:y=\frac{\mathrm{numerator's\:leading\:coefficient}}{\mathrm{denominator's\:leading\:coefficient}}[/tex][tex]\mathrm{Numerator's\:leading\:coefficient}=1,\:\mathrm{Denominator's\:leading\:coefficient}=1[/tex][tex]y=\frac{1}{1}[/tex][tex]\mathrm{The\:horizontal\:asymptote\:is:}[/tex][tex]y=1[/tex]In conclusion:
[tex]\mathrm{Vertical}\text{ asymptotes}:\:x=-5,\:\mathrm{Horizontal}\text{ asymptotes}:\:y=1[/tex]At the local pizzeria, a slice of pizza costs $3.00. if there are eight slices in one pizza . how much would two whole pizzas cost?
Answers
Answer:
48 dollars
Step-by-step explanation:
3 x 8 = 24
24 x 2 = 48
Two whole pizzas will cost forty-eight dollars
Answer:
48 dollars
Step-by-step explanation:
because for each slice is 3 dollars and there is 8 slices in 1 pizza so 8*3=24 so for 1 whole pizza its 24 dollars and because we want 2 we multiply it by 2 so 24*2= 48 so for 2 whole pizzas it equals 48 dollars.
A easier way, in 2 pizzas there is a total of 16 slices so 16*3= 48
Please help meeeeeeeeeee
Answers
Answer:
Okay
Step-by-step explanation:
want me to come over to your place
which of the following could be the distant of Allyson's map
Answers
The real distance from Mumbai to Bangalore is 845 km.
The real distance from Mumbai to Dehli is 1160 km.
Allyson has made a map in which distance is in cm and is proportional to the real distance.
Since the real distance and the distance on the map are proportional then their ratio must be equal.
Let us compare the ratio of real distance with the distance in given options.
Option A:
Bangalore to Mumbai = 116.5 cm
Mumbai to Dehli = 174 cm
[tex]\begin{gathered} \frac{845}{1160}=\frac{116.5}{174} \\ 0.728\ne0.669 \end{gathered}[/tex]As you can see, the ratio is not equal so this is wrong.
Option B:
Bangalore to Mumbai = 42.25 cm
Mumbai to Dehli = 58 cm
[tex]\begin{gathered} \frac{845}{1160}=\frac{42.25}{58} \\ 0.728=0.728 \end{gathered}[/tex]As you can see, the ratio is equal so this is correct.
Option C:
Bangalore to Mumbai = 23.4 cm
Mumbai to Dehli = 29 cm
[tex]\begin{gathered} \frac{845}{1160}=\frac{23.4}{29} \\ 0.728\ne0.807 \end{gathered}[/tex]As you can see, the ratio is not equal so this is wrong.
Option D:
Bangalore to Mumbai = 16.9 cm
Mumbai to Dehli = 23.2 cm
[tex]\begin{gathered} \frac{845}{1160}=\frac{16.9}{23.2} \\ 0.728=0.728 \end{gathered}[/tex]As you can see, the ratio is equal so this is correct.
Option E:
Bangalore to Mumbai = 25.35 cm
Mumbai to Dehli = 34.8 cm
[tex]\begin{gathered} \frac{845}{1160}=\frac{25.35}{34.8} \\ 0.728=0.728 \end{gathered}[/tex]As you can see, the ratio is equal so this is correct.
Therefore, the following can be the possible distances on Allyson's map
Option B
Option D
Option E
What is 275 = 5 (1 - 6k)
Answers
Answer:k=-9
Step-by-step explanation:
275=5(1-6k)
55=1-6k
54=-6k
-9=k
You pick a card at random without putting the 1st card back you pick a second card at random what is the probability of picking a 7 and then picking a 7
Answers
Given:
There are four cards numbered as
[tex]6,\text{ }7,\text{ }8,\text{ and }9.[/tex]Required:
We have to find the probability of picking a 7 and then picking a 7.
Explanation:
When you pick the first card there are four possibilities out of which only one card is numbered as 7.
Therefore, the probability of picking a 7 is
[tex]\frac{1}{4}[/tex]Before picking the second card you have put back the first card. So when you pick the second card there are four possibilities out of which only one card is numbered as 7.
Therefore, the probability of picking a 7 is
[tex]\frac{1}{4}[/tex]Hence the probability of picking a 7 and then picking a 7 is
[tex]\frac{1}{4}\times\frac{1}{4}=\frac{1}{16}[/tex]Final answer:
Hence the final answer is
[tex]\frac{1}{16}[/tex]
#11 i
Solve 7w-9=13 - 4w.
W =
Answers
Answer:
w=2
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
7w−9=13−4w
7w+−9=13+−4w
7w−9=−4w+13
Step 2: Add 4w to both sides.
7w−9+4w=−4w+13+4w
11w−9=13
Step 3: Add 9 to both sides.
11w−9+9=13+9
11w=22
Step 4: Divide both sides by 11.
11w/11=22/11
w=2
Make g the subject
X = 3g + 2
Answers
Answer:
g = X - 2/3
Step-by-step explanation:
X = 3g + 2
Try to make g stand alone and collect the terms.
X - 2 = 3g
Divide both sides by the coefficient of g, which is 3
X - 2/3 = 3g/3
g = X - 2/3
Sketch a graph of the polynomial function f(x) = –x3 + 5x2 – 2x – 8. Use the graph to complete the following:f is __________ on the intervals (–∞, 1/3) and (3, ∞)f is __________ on the interval (1/3, 3)f is __________ on the intervals (–∞, -1) and (2, 4)
Answers
To sketch the graph, we need to find the x-intercepts and y-intercepts.
To find the x-intercepts we solve the equation when y = 0.
That is
[tex]-x^3+5x^2-2x-8=0[/tex][tex]\begin{gathered} f(-1)=-(-1)^3+5(-1)^2-2(-1)-8=1+5+2-8=0 \\ \text{Hence} \\ x=-1\text{ is a zero of f(x)} \\ \Rightarrow\text{ x+1 is a factor of f(x)} \end{gathered}[/tex]Next, we find the result of :
[tex]\frac{f(x)}{x+1}[/tex][tex]\begin{gathered} So \\ \frac{-x^3+5x^2-2x-8}{x+1}=-x^2+6x-8 \end{gathered}[/tex]Now we solve
[tex]\begin{gathered} -x^2+6x-8=0 \\ \Rightarrow-x^2+2x+4x-8=0 \\ \Rightarrow-x(x-2)+4(x-2)=0 \\ \Rightarrow(4-x)(x-2)=0 \\ \Rightarrow x=4\text{ or 2} \end{gathered}[/tex]So the zeros of f(x) are -1, 2, and 4
Next, we find the stationary points.
[tex]\begin{gathered} \frac{df(x)}{dx}=-3x^2+10x-2 \\ \text{When }\frac{df(x)}{dx}=0,\text{ we have} \end{gathered}[/tex][tex]\begin{gathered} -3x^2+10x-2=0 \\ \text{Dividing through by -3 we have} \\ x^2-\frac{10}{3}x+\frac{2}{3}=0 \end{gathered}[/tex][tex]\begin{gathered} (x-\frac{5}{3})^2-(-\frac{5}{3})^2-2=0 \\ \Rightarrow(x-\frac{5}{3})^2=2+\frac{25}{9}=\frac{43}{9} \\ \Rightarrow x=\frac{5\pm\sqrt[]{43}}{3} \\ \Rightarrow x=2.55\text{ or }0.78 \end{gathered}[/tex][tex]\frac{d\frac{df(x)}{dx}}{dx}=-6x+10[/tex]At x = 2.55
[tex]\frac{d\frac{df(x)}{dx}}{dx}=-6(2.55)+10=-5.3<0[/tex]Hence we have a maximum point at x = 2.55
[tex]\frac{d\frac{df(x)}{dx}}{dx}=-6(0.78)+10=5.32>0[/tex]Hence, there is a minimum point at x = 0.78
[tex]\begin{gathered} f(0.78)\text{ = }-6.99 \\ f(2.550=2.83 \end{gathered}[/tex][tex]\begin{gathered} To\text{ check the intervals where the function increasing or decreasing} \\ \text{For x < 0.78 } \\ \frac{df(x)}{dx}=(x-0.78)(x-2.83)\text{ is positive} \\ \text{For 0.78 < x < 2.83 } \\ \frac{df(x)}{dx}=(x-0.78)(x-2.83)\text{ is negative} \\ \text{For x > 2.83} \\ \frac{df(x)}{dx}=(x-0.78)(x-2.83)\text{ is positive} \end{gathered}[/tex]This implies that
f is increasing on the intervals (–∞, 1/3) and (3, ∞)
PLS HELP ME ASAP!! I WILL GIVE U BRAINLYEST!! NO LINKS!Frankie worked at the gas station for four months. He earned $4,800.00 andmust pay a total of 12% in income taxes. What is his net pay if there are noadditional deductions? A. 576.00B.5,376.00C.3,600.00D.4,224.00
Answers
Frankie worked at the gas station for four months. He earned $4,800.00 and
must pay a total of 12% in income taxes. What is his net pay if there are no
additional deductions?
A. 576.00
B.5,376.00
C.3,600.00
D.4,224.00
we have that
12%=12/100=0.12
Multiply $4,800.00 by 0.12
$4,800.00*0.12=$576.00
answer is option Aneed help as soon as possible !!!!!!
Answers
The value of the variable x: 40
Angles of the polygon are :
3x = 120(2x + 10) = 90(2x + 5) = 85(2x - 15) = 65What is Polygon?An Indian blockchain scalability platform is called Polygon. It addresses Ethereum's problems with excessive costs, a subpar user experience, and a meager number of transactions per second. Creating a framework for Proof of Stake transactions is one approach taken to overcome these problems.Calculate the measure of angles as follows:
3x(2x + 10)(2x + 5)And
(2x - 15)Since we have,
Sum of angle measure = 360°
Thus: 3x + (2x + 5) + (2x + 10) + (2x - 15) = 360Opening the brackets:
3x + 2x + 5 + 2x + 10 + 2x - 15 = 360Adding the like terms:
9x + 15 - 15 = 3609x = 360x = 360/9x = 40Hence, The measure of the variable is 40.
And the angle measures are:
3 x 40 = 120°(2(40) + 5) = 80 + 5 = 85°(2(40)+ 10) = 80 + 10 = 90°(2(40) - 15) = 80 - 15 = 65°Therefore, the value of the variable x: 40
Angles of the polygon are :
3x = 120(2x + 10) = 90(2x + 5) = 85(2x - 15) = 65To learn more about Polygon click on the link
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find the area of 2 1/2 units * 2 units
Answers
Answer:
5 square units
Explanation:
Emma's Rectangle is:
• 2½ units long.
,• 2 units wide.
[tex]\begin{gathered} \text{Area}=2\frac{1}{2}\times2 \\ =\frac{5}{2}\times2 \\ =5\text{ units}^2 \end{gathered}[/tex]Answer: its 5
Step-by-step explanation: