Answers
Answer:
m<3=84
m<4=96
Step-by-step explanation:
180-43-41=96
180-96=84
The measure of ∠3 is 96° and measure of ∠4 is 64°.
What is Triangle?
A triangle is a three sided polygon , which has three vertices and three angles with sum 180 degree.
Given that;
In triangle,
Measure of first angle (m ∠1 ) = 43°
Measure of second angle (m ∠2) = 41°
Let measure of ∠4 = x degree
Now, Sum of all angles in a triangle be 180 degree.
So, We can formulate;
m∠1 + m∠2 + m∠3 = 180°
43° + 41° + x = 180°
84° + x = 180°
x = 180° - 84°
x = 96°
So, measure of ∠3 = 96°
Since, The measure of ∠3 and measure of ∠4 are supplementary angles.
Hence, We get;
m ∠3 + m ∠4 = 180°
96° + m ∠4 = 180°
m ∠4 = 180° - 96°
m ∠4 = 64°
Thus, The measure of ∠3 is 96° and measure of ∠4 is 64°.
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Related Questions
A sum of money is divided amongst Farah, Shaiyara and Zahin in the ratio 10: 7: 5. If
Shaiyara gets $20 more than Zahin, find the total sum of money shared and the amount
Farah gets.
Answers
Answers:
Total amount of money = 220 dollarsAmount Farah gets = 100 dollars==========================================================
Explanation:
F = amount Farah getsS = amount Shaiyara getsZ = amount Zahin getsThe money is divided in the ratio 10:7:5
This means that
F = 10xS = 7xZ = 5xfor some positive real number x.
Since Shaiyara gets $20 more than Zahin, we can say,
S = Z+20
Let's plug in S = 7x and Z = 5x and solve for x
S = Z+20
7x = 5x+20
7x-5x = 20
2x = 20
x = 20/2
x = 10
Therefore,
F = 10x = 10*10 = 100S = 7x = 7*10 = 70Z = 5x = 5*10 = 50The ratio F:S:Z becomes 100:70:50 which reduces fully to 10:7:5 after dividing all three parts by the GCF 10.
The total sum of money shared is 100+70+50 = 220 dollars and Farah gets $100 of that total.
On Patrick's bookcase, 64% of the book are paperback, 0.2 are hardcovers with a dust jacket, and the rest are hardcovers without a dust jacket. Which type of book does he have the least number of?
Answers
Answer:
The hardcover without a dust jacket.
Step-by-step Explanation
0.2 is 20%, so if you add that to the 64% you can see what the other percentage of books are. 64%+ 20% = 84. So if you subtract 84 from 100 that equals 16, so the other book percentage is 16%, which makes the hardcovers without a dust jacket the least number of books Patrick has.
For which of the following values of X is 5+X < 5?
Answers
Answer:
x<1
Step-by-step explanation:
5+x<5
x<5-5
x<1
it simply is one , you just take five to the other side making x the subject of the formula
What is the greatest common factor (GCF) of 24 and 40?
Answers
Question:
What is the greatest common factor (GCF) of 24 and 40?
Answer:
8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
40=2×2×2×5
24=2×2×2×3 then we take the common 2×2×2=8
Kasey has been mowing lawns to save up money for a concert. He earns $15 per hour and needs at least $90 to go to the concert. How many hours should he mow? Write an inequality (with variable) to solve it.
Answers
Answer:
he makes 15 dollars in an hr, so find how much 15 dollars goes into 90. 90 divide 15 = 6. therfore, kasey needs to work for 6 hours to make 90 dollars
PLEASE HELPPPPP!!!!!!!!! (show work if you can)
Answers
Answer:
[tex]180x^4y^3z^2[/tex]
Step-by-step explanation:
Start by finding the LCM of the coefficients of each polynomial:
[tex]LCM(12,18,30)=180[/tex]
Next, to find the least common multiple of each of the following terms, we need to take the absolute minimum we can of each term ([tex]x[/tex], [tex]y[/tex], and [tex]z[/tex]). The largest term of [tex]x[/tex] is [tex]x^4[/tex] in the first polynomial, so we'll take exactly that for our [tex]x[/tex] term in the LCM, absolutely nothing more. Similarly, the largest term of [tex]y[/tex] in any of the three polynomials is [tex]y^3[/tex] (also in the first polynomial) and the largest [tex]z[/tex] term in any of the three polynomials is [tex]z^2[/tex] in the second polynomial. Thus, the LCM of all our polynomials is:
[tex]180\cdot x^4\cdot y^3\cdot z^2=\boxed{180x^4y^3z^2}[/tex]
Answer:
[tex]\mathrm{Factor\:}18x^4y^3z= 2\cdot \:3^2\cdot \:x^4\cdot \:y^3\cdot \:z\\\\\mathrm{Factor\:}30xy^2z^2= 2\cdot \:3\cdot \:5\cdot \:x\cdot \:y^2\cdot \:z^2\\\\\mathrm{Factor\:}12x^3y^2= 2^2\cdot \:3\cdot \:x^3\cdot \:y\\\\\mathrm{Multiply\:each\:factor\:with\:the\:highest\:power}= 2^2\cdot \:3^2\cdot \:5\cdot \:x^4\cdot \:y^3\cdot \:z^2\\\\180x^4y^3z^2[/tex]
URGENT PLEASE HELP!! a rectangle's area is 336 mm Its height is 16 mm. What is its bases?
Answers
Answer:
21mm
Step-by-step explanation:
Area = 336mm²
Height = 16mm
Base = ?
Area = Base × Height (Substitute numbers into the known variable)
336mm² = Base × 16mm ( Find the base,so divide
16mm on both sides)
Base = 336mm² ÷ 16mm
= 21mm
Jimmy spent $32.50 at the bowling alley. He spent $5 to rent shoes and the rest he spent on bowling l, which cost $5.50 per game. What are the 2 steps and how much games did jimmy bowl?
Answers
Answer:
First you do 32.50 - the 5 dollars he used to rent shoes. Then you would get 27.50, then you do 27.50- 5.50 per game. 27.50- 5.50- 5.50-5.50-5.50-5.50. He bowled 5 games total
Step-by-step explanation:
what is the solution to -3^2+4(-3)(-3)
Answers
Answer:
The solution is 45.
Step-by-step explanation:
9+4(9)
9+36
45
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{ -3^2+4(-3)(-3)}[/tex]
[tex]\mathsf{-3^2}\\\mathsf{= -1\times3^2}\\\mathsf{3^2=3\times3=\bf 9}\\\mathsf{-1\times9}\\\mathsf{= \bf -9}[/tex]
[tex]\mathsf{-9 +(4)(-3)(-3)}[/tex]
[tex]\mathsf{4(-3)=\bf -12}[/tex]
[tex]\mathsf{= -9 + (-12)(-3)}[/tex]
[tex]\mathsf{(-12)(-3)=\bf 36}[/tex]
[tex]\mathsf{-9+36=\bf 27}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf 27}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
The formula for the volume V Of a cone has the radius r and the height h is shown below.
V= 1/3 π r ²h
H= what?
Answers
Answer:
H is same as h which means height if cone or perpendicular drawn from tip of cone to the base plane !
Hope this helps
Amanda is 160 cm tall. She is 10 cm taller than her younger sister Carl a. Which of the following equations can be used to find x? X + 10 = 160 X + 160 = 10 X - 10 = 160 x = 10 + 160
Answers
Answer:
A. x + 10 = 160
Step-by-step explanation:
This is the correct choice since, we already know the height of Amanda and it gives us the difference between her sister and her height. We can formulate an expression.
x + 10 = 160
Solve.
160 - 10 = 150
x = 150
Thus, Carla is 150 centimeters tall.
Sten counts 39 rabbits in his garden. Round 39 to the nearest 10.
Answers
Answer: Round 39 to the nearest 10 is 40
Step-by-step explanation:
#37. What is the next step when solving the equation sin (2x) - sin (x) = 0
Answers
sin(2x) - sin(x) = 0
Expand the first term using the double angle identity:
2 sin(x) cos(x) - sin(x) = 0
Factor out sin(x) :
sin(x) (2 cos(x) - 1) = 0
This leaves you with 2 cases that can be solved separately:
sin(x) = 0 or 2 cos(x) - 1 = 0
sin(x) = 0 or cos(x) = 1/2
[x = 2nπ or x = π + 2nπ] or [x = π/6 + 2nπ or x = 5π/6 + 2nπ]
(where n is any integer)
Em um jantar no castelo da rainha da Inglaterra, estavam presentes 10 pessoas da mais alta corte inglesa. Após o jantar foram servidas dois tipos de sobremesas, A e B. Sabe-se que apenas 5 pessoas comeram da sobremesa A e 7 da sobremesa B e 3 pessoas comeram as duas. Após um jantar, foram servidas as sobremesas X e Y. Sabe-se que das 10 pessoas presentes, 5 comeram a sobremesa X, 7 comeram a sobremesa Y e 3 comeram as duas. Quantas não comeram nenhuma sobremesa?
Answers
An airline's public relations department claims that when luggage is lost, 88% is recovered and delivered to its owner within 24 hours. A consumer group who surveyed a large number of air travelers found that 138 out of 160 people who lost luggage on that airline were reunited with the missing items by the next day. At the 0.10 level of significance, do the data provide sufficient evidence to conclude that the proportion of times that luggage is returned within 24 hours is less than 0. 88? Identify the hypothesis statements you would use to test this. H0: p = 0.88 versus HA : p < 0.88 H0: p < 0.88 versus HA : p = 0.88 H0: p = 0.863 versus HA : p < 0.863
Answers
Answer:
The hypothesis statements are: H0: p = 0.88 versus HA : p < 0.88
The p-value of the test is 0.2483 > 0.1, which means that the data does not provide sufficient evidence to conclude that the proportion of times that luggage is returned within 24 hours is less than 0.88.
Step-by-step explanation:
Test if the proportion of times that luggage is returned within 24 hours is less than 0. 88
At the null hypothesis, we test if the proportion is of 0.88, that is:
[tex]H_0: p = 0.88[/tex]
At the alternate hypothesis, we test if this proportion is less than 0.88, that is:
[tex]H_a: p < 0.88[/tex]
The hypothesis statements are: H0: p = 0.88 versus HA : p < 0.88
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.88 is tested at the null hypothesis:
This means that [tex]\mu = 0.88, \sigma = \sqrt{0.88*0.12}[/tex]
A consumer group who surveyed a large number of air travelers found that 138 out of 160 people who lost luggage on that airline were reunited with the missing items by the next day.
This means that [tex]n = 160, X = \frac{138}{160} = 0.8625[/tex]
Test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.8625 - 0.88}{\frac{\sqrt{0.88*0.12}}{\sqrt{160}}}[/tex]
[tex]z = -0.68[/tex]
P-value of the test:
The p-value of the test is the probability of finding a sample proportion below 0.8625, which is the p-value of z = -0.68.
Looking at the z-table, the p-value of z = -0.68 is of 0.2483.
The p-value of the test is 0.2483 > 0.1, which means that the data does not provide sufficient evidence to conclude that the proportion of times that luggage is returned within 24 hours is less than 0.88.
what type of triangle is shown below check all that apply
Answers
Answer:
The first image is an Isosceles Triangle and Acute
Step-by-step explanation:
obtuse triangle.
obtuse triangle
A rose garden is formed by folning a rectangle and a semicircle, as shown below. The rectangle is 21 ft long and 17 ft wide. If the gardener wants to build a
fence around the garden, how many feet of fence are required? (Use the value 3.14 for , and do not round your answer. Be sure to include the correct unit in
your answer.)
Answers
Answer:
76 ft of fence is required.
Step-by-step explanation:
21 ft + 17 ft + 21 ft + 17 ft = 76 ft
-4(y - 2) = 12
y = ?
Answers
Answer:
Hello! answer: -1
Hope that helps!
Question is below in photo
Answers
what about using 20-30-40-5
Step-by-step explanation:
the sequence is that you are skipping ten to get the second nb which is 30 and keep on going on to get 50
A 4 foot tree was planted in 2012 outside a high school. The tree grew continuously by 22% each year from that point. Find out what the height of the tree was in 2020.
Answers
Answer:
The height of the tree in 2020 was of 19.63 feet.
Step-by-step explanation:
Exponential equation for growth:
The exponential equation for the growth of an amount has the following format:
[tex]H(t) = H(0)(1+r)^t[/tex]
In which H(t) is the amount after t years, H(0) is the initial amount and r is the growth rate, as a decimal.
A 4 foot tree was planted in 2012 outside a high school.
This means that [tex]H(0) = 4[/tex]
The tree grew continuously by 22% each year from that point.
This means that [tex]r = 0.22[/tex]
Find out what the height of the tree was in 2020.
2020 is 2020 - 2012 = 8 years after 2012, so this is H(8).
[tex]H(t) = H(0)(1+r)^t[/tex]
[tex]H(t) = 4(1+0.22)^t[/tex]
[tex]H(4) = 4(1.22)^t[/tex]
[tex]H(4) = 4(1.22)^8 = 19.63[/tex]
The height of the tree in 2020 was of 19.63 feet.
The point A(-7, 3) is translated onto A' by the vector =(5, -4).
The coordinates of A' are
O (-12,7)
0 (2, -7)
o (5, -4)
o(-2, -1)
Answers
Answer:
o(-2,-1)
Step-by-step explanation:
Let point A be initial point and A' be terminal point.
A(-7,3), A'(x,y) and V=(5,-4)
V=(Xf-Xi,Yf-Yi)
(5,-4)=(x-(-7),y-3)
(5,-4)=(x+7,y-3)
5=x+7. -4=y-3
5-7=x. -4+3=y
x=-2. y=-1
A'=(-2,-1)
The coordinates of A'(-2, -1).
What is Translation?Translation is the act of moving a shape or a figure from one location to another. A figure can move in translation up, down, right, left, or anywhere else in the coordinate system. Only the object's position changes during translation; its size stays the same.
Given:
point A(-7, 3)
and vector, V =(5, -4).
So, V=([tex]X_f-X_i,Y_f-Y_i[/tex])
Where X(final) = ?, Y(Final)= ?
So, (5,-4)=(x-(-7),y-3)
(5,-4)=(x+7,y-3)
On comparing the coordinates
5=x+7 and -4=y-3
x= 2 and y = -1
Hence, the coordinates of A'(-2, -1)
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the cost of 5 DVDs and a $15
Answers
Answer:
$3
Step-by-step explanation:
the cost of 5 DVDs and a $15
you didn't ask anything
Answer:
$3 because 15÷3= 5 so it is 3
A cuboid measures 6cm by 3cm by 2cm
Draw a net of the cuboid
Answers
Answer:
See attachment for cube
Step-by-step explanation:
Given
[tex]Length = 6cm[/tex]
[tex]Width = 3cm[/tex]
[tex]Height = 2cm[/tex]
Required
The net of the cuboid
A cuboid has 6 faces.
The dimension of these faces are:
Length and Width; Length and Height;
Length and Width; Length and Height;
Width and Height; Width and Height;
This means that the faces will have the following dimensions:
6cm by 3cm; 6cm by 2cm
6cm by 3cm; 6cm by 2cm
3cm by 2cm; 3cm by 2 cm
Taking into account the above measurements and dimensions, you draw 6 faces, then join similar sides lengths.
See attachment for net of the cuboid
volume of a cube with side length of 5.2 cm.
Answers
Answer:
140.608
Step-by-step explanation:
There are 3 red, 5 green, 7 blue, 1 black and 4 yellow marbles in a bag. Once a marble is selected, it is not replaced. Find the probability of selecting a green
marble, then a red marble.
Answers
Answer:
3/76
Step-by-step explanation:
The triangles shown below must be congruent.
45
45
45
45"
12
12
O A. True
B. False
Answers
Find the area of the trapezoid by decomposing it into other shapes. A). 25. B). 25.5. C). 27.5. B). 35
Answers
Answer:
C) 27.5
Step-by-step explanation:
C) 27.5
9xy + 6ab + 2xb
The expression consists of ? terms, and each term contains ? factors
Answers
Answer:
They're 3 terms
Step-by-step explanation:
Im confused but the factor part because you can argue they're all factors of something. 81,18,4
Find the range and interquartile range of the data.
63,53,48,61,69,63,57,72,46
The range of the data is
The interquartile range of the data is
Answers
What is the domain for √(x-2)? *
all real numbers except x=2
all real numbers for x≥2
all real numbers for x≤2
all real numbers except x=0