Select the following that are true.Select one or more:a.If a quadrilateral is a square, then it is a rectangle.b.If a quadrilateral is a square, then it is a parallelogram.c.If a quadrilateral is a rhombus, then it is a parallelogram.d.If a quadrilateral is a rectangle, then it is a rhombus.e.If a quadrilateral is a square, then it is a rhombus.f.If a quadrilateral is a parallelogram, then it is a rectangle.
Answers
a. One of the properties of squares is all sides are congruent (they have the same length) and this is not a property of rectangles. But the square is a special rectangle since it fits in the properties of rectangles, but rectangles are not squares. In this case, this is TRUE.
b. A parallelogram is a quadrilateral with two pairs of opposite parallel sides and the opposite sides are congruent. The square fits into this description, so this is TRUE.
c. A rhombus has four equal opposite parallel sides, so we can say it fits into the parallelogram definition. This is TRUE.
d. As we said in part a, a rectangle doesn't have all of its sides congruent, but the rhombus does. Then, this is FALSE.
e. Squares have four equal opposite parallel sides, and rhombus too. Then, a square is a rhombus. This is TRUE.
f. Not all parallelograms have the properties of rectangles, then this is FALSE.
Related Questions
Find the area of this irregular shape.
[Round off to the nearest whole number.]
sq. units
Answers
Answer:
grubby me and I will be there in a few minutes to talk to you about it do you
nose
Step-by-step explanation:
nosediving the Gigi Hadid and wirt me and wirt me and I will be there in a few minutes to talk to you about it
Jameson downloaded one digital song for $1.25, two digital songs for $2.50, and 5 digital songs for $6.25. solve the equation to find the cost to download 20 digital songs
Answers
The cost of downloading 20 digital songs = 20 x 1.25
a rectangle is drawn so the width is 71 inches longer than the height if the rectangles diagonal measurement is 85 inches find the heightround to 1 decimal place______inches
Answers
Let's first conceptualize the given details by drawing a rectangle with the given details being reflected.
Where,
x = Height of the rectangle
x + 71 = The ratio of the width of the rectangle with respect to the height.
Cutting the rectangle in half along the diagonal line makes a right triangle,
Thus, we can use the Pythagorean Theorem to be able to determine the height of the rectangle. We get,
[tex]\text{ a}^2+b^2=c^2\text{ }\rightarrow(x+71)^2+(x)^2=(81)^2_{}[/tex][tex]\text{ x}^2+142x+5041+x^2\text{ = 6561}[/tex][tex]\text{ 2x}^2\text{ + 142x + 5041 - 6561 = 0}[/tex][tex](\frac{1}{2})\text{ (2x}^2\text{ + 142x - }1520)\text{ = 0}[/tex][tex]\text{ x}^2\text{ + 71x - 760 = 0}[/tex][tex]\text{ (x +}\frac{71+\sqrt[]{8081}}{2})(x\text{ + }\frac{71\text{ - }\sqrt[]{8081}}{2})=\text{ 0}[/tex]There are two possible height of the rectangle,
[tex]x_1\text{ = }\frac{-71-\sqrt[]{8081}}{2}\text{ = -80.45 in.}[/tex][tex]\text{ x}_2\text{ = }\frac{-71\text{ + }\sqrt[]{8081}}{2\text{ }}=9.45\text{ in.}[/tex]9.45 = 9.5 in. is the most probable height of the rectangle because a dimension must never be negative, thus, let's adopt 9.5 in. as the height.
The width must be = x + 71 = 9.5 + 71 = 80.5 in.
2) The next day they go to Melties. Al buys a cone with 3.6 oz of frozen yogurt for $4.47, and Beth buys a cone with 4.8 oz of frozen yogurt for $5.01. Find how much Melties charges per ounce of frozen yogurt and how much they charge for the cone.
Answers
2) The next day they go to Melties. Al buys a cone with 3.6 oz of frozen yogurt for $4.47, and Beth buys a cone with 4.8 oz of frozen yogurt for $5.01. Find how much Melties charges per ounce of frozen yogurt and how much they charge for the cone.
Let
x ------> the number of ounces of frozen yogurt
y ------> the total charge
we have the ordered pairs
(3.6,4.47) and (4.8,5.01)
step 1
Find the slope pr unit rate
m=(5.01-4.47)/(4.8-3.6)
m=$0.45 per ouncestep 2
Find the equation in point slope form
y-y1=m(x-x1)
we have
m=0.45
(x1,y1)=(3.6,4.47)
substitute
y-4.47=0.45(x-3.6)
convert to slope intercept form
y-4.47=0.45x-1.62
y=0.45x+2.85
In this problem, the y-intercept or initial value correspond to the charge for the cone
so
$2.85Find the range of the function.f(x) = (x + 5)^2 + 8possible ans: y > - 8y ≥ 8y > 8All real numbers
Answers
SOLUTION
Given:
Explanation:
The range is the set of possible output values, which are shown on the y -axis.
The graph of the function will help us to find range.
Looking at the graph, the y values are from 8 up to infinity.
Final answer:
let f(x) = 10x-10. Find the value of (f o f^-1) (-10)a)0b)1c)10d)-10
Answers
Solution
We are given the following expression to evaluate:
[tex]\begin{gathered} f(x)=10x-10 \\ \\ \text{ Find:} \\ (f\mathrm{}f^{-1})(-10) \end{gathered}[/tex]- In order to solve this question, we should apply the following theorem:
[tex]f(f^{-1})(x)=x_{}[/tex]- Thus, in order to solve the question, we simply substitute x = -10. This is done below:
[tex]\begin{gathered} f(f^{-1})(x)=x \\ \text{put }x=-10 \\ \\ f(f^{-1})(-10)=-10\text{ (OPTION D)} \end{gathered}[/tex]Final Answer
The answer is:
[tex]f(f^{-1})(-10)=-10\text{ (OPTION D)}[/tex]
A garage has 60 vehicles for sale, which
are all either new or second-hand.
28 of the vehicles are cars and the rest are
vans.
Of the cars, 7 are second-hand.
5 of the vans are new.
a) By copying and completing the
frequency tree below to show this
information, work out the value that should
replace D in the frequency tree.
b) In total, how many of the vehicles are
second-hand?
Answers
The number of vehicles that are secondhand is 34.
There is a garage. The total number of vehicles in the garage is 60. The vehicles are for sale. The vehicles are all either new or secondhand. The number of vehicles that are cars is 28. The other vehicles are vans. Seven of the cars are secondhand. Five of the vans are new. We have to find the total number of second-hand vehicles.
First of all, we will find the number of vans in the garage. The number of vans is 60 - 28 = 32. The number of cars that are second-hand is 7. The number of vans that are second-hand is 32 - 5 = 27.
The total number of second-hand vehicles in the garage is the sum of the numbers of second-hand cars and vans.
N = 7 + 27
N = 34
Hence, 34 vehicles are second-hand in the garage.
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What is 73 / 6? I need a whole number, not 12.1666667 with a remainder if there is one!
/= divided by
Answers
Answer:
12
Step-by-step explanation:
12.1666667 rounded:
12.1666667 You rounded to the nearest one's place. The 2 in the ones place rounds down to 2 or stays the same because the digit to the right in the tenth place is 1.
12 When the digit to the right is less than 5 we round toward 0.
12.1666667 was rounded down toward zero to 12
Which is the better buy? 36-fluid-ounce carton of apple juice for $8.28 6-cup carton of apple juice for $5.76
Answers
In this case, what we must do is calculate the price per unit each one:
[tex]\begin{gathered} 1\text{cup}=8ounce \\ \frac{8.28}{36}=0.23 \\ \frac{5.76}{6\cdot8}=0.12 \end{gathered}[/tex]therefore, the second purchase is better because it cost $0.12 per ounce, otheriwse the other purchase compares that they are $0.23 per ounce
Counting in bases less than ten
Answers
Answer:
Step-by-step explanation:
84649347
Which should figure could be formed from the net shown?
Answers
Answer
The solid figure that could be formed from the net show is a square pyramid
Explanation
The figure shown has been opened from the vertex, v, when closed, a square base of side 5 in with perpendicular height 7 in is formed. Hence, the solid figure that could be formed from the net shown is a Square pyramid
Which of the following equations are equivalent (i.e. have the same solution for x)? Check all that apply.A X+1=4B 9+X=6C -5+x=-2D 2+x=5E X+(-4)=7
Answers
Solve the following equations and find those that have the same solution for x.
A
x + 1 = 4
Subtracting 1:
x = 3
B
9 + x = 6
Subtracting 9:
x = -3
C
-5 + x = -2
Adding 5:
x = 3
D
2 + x = 5
Subtracting 2:
x = 3
E
x + (-4) = 7
Operating:
x - 4 = 7
Adding 4:
x = 11
Only equations A, C, and D are equivalent
You want to invest $1000 in an account and plan to leave it there for 12 years. There are three options for investing your money.Account A pays 14% interest per year, compounded annually.Account B pays 13.6% interest per year, compounded monthly.Account C pays 13% interest per year, compounded daily.
Answers
The probability that it is Tuesday and Robert is absent is 0.04.There are 5 school working days in a week and the probabilitythat it is Tuesday is 0.5. What is the probability that Robert isabsent given that today is Tuesday?
Answers
The probability is 8%.
From the question, we have
The probability that it is Tuesday and Robert is absent is 0.04.
P(Tuesday and absent) = 0.04
P(Tuesday) =0.5
P(absent/Tuesday) =0.04/0.5 = 0.08
=0.08*100%
=8%
Multiplication:
Finding the product of two or more numbers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis. Multiplication tables are the main use that is obvious. In mathematics, the repeated addition of one number in relation to another is represented by the multiplication of two numbers. These figures can be fractions, integers, whole numbers, natural numbers, etc. When m is multiplied by n, either m is added to itself 'n' times or the other way around.
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Suppose that tan(x)csc(x)=1/f(x).Write f(x) in terms of sin(x) and cos(x).f(x)=
Answers
Trigonometry
We are given the equation:
[tex]\tan (x)\csc (x)=\frac{1}{f(x)}[/tex]It's required to write f(x) in terms of the sine and cosine functions.
Taking the reciprocal of both sides of the equation:
[tex]f(x)=\frac{1}{\tan (x)\csc (x)}[/tex]Recall:
[tex]\begin{gathered} \tan (x)=\frac{\sin (x)}{\cos (x)} \\ \text{csc(x)}=\frac{1}{\sin (x)} \end{gathered}[/tex]Substituting:
[tex]f(x)=\frac{1}{\frac{\sin(x)}{\cos(x)}\frac{1}{\sin (x)}}[/tex]Simplifying:
[tex]f(x)=\frac{1}{\frac{1}{\cos(x)}}=\cos (x)[/tex]Thus:
f(x)= cos(x)
When oil was spilled out in the middle of a lake, it spread out on the surface of the water in a circular pattern. The radius of the circular pattern increased at a rate of 4 feet per minute.((() = 4tft/min)Find the radius and area of the circular pattern of oil 5 minutes after the oil starts to spread.
Answers
The radius of the circle increases by 4 feet per minute. When 1 minute has passed, the radius is 4 feet, and when 5 minutes have passed, the radius will be 5 times that:
[tex]4\times5=20[/tex]The radius of the circle after 5 minutes is 20 feet.
To find the area, we use the formula for the area of a circle:
[tex]A=\pi r^2[/tex]Using the radius of 20 feet:
[tex]r=20ft[/tex]And substituting it into the formula for the area:
[tex]\begin{gathered} A=\pi(20ft)^2 \\ A=\pi(400ft^2) \end{gathered}[/tex]Using:
[tex]\pi=3.1416[/tex]We get the are of the circular pattern:
[tex]\begin{gathered} A=(3.1416)(400ft^2) \\ A=1,256.64ft^2 \end{gathered}[/tex]Answer:
[tex]\begin{gathered} r=20ft \\ A=1,256.64ft^2 \end{gathered}[/tex]Hello! Use interval notation to indicate all real numbers between −3 and 5 , including −3 but not including 5.
Answers
Given:
The real numbers given as -3 and 5
Required:
We need to indicate all real numbers between −3 and 5 , including −3 but not including 5
Explanation:
Use [ to include the number and use ) to not include the number
So here we want to include -3 so use [ with -3 and we do not want to incluse 5 so use ) with 5
There is a rule that we need to start with small number and here the small number is -3 among -3 and 5
FInal answer:
[-3,5)
What is the volume of the prism shown by the net?
Answers
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
length = 1/2 yd
width = 1/4 yd
height = 1/6 yd
Volume = ?
Step 02:
Volume = l * w * h
[tex]V\text{ = }\frac{1}{2}yd\cdot\frac{1}{4}yd\cdot\frac{1}{6}yd=\frac{1}{48}yd^3[/tex]The answer is:
The volume of the right rectangular prism is 1 / 48 yd³ .
convert 15.7cm of the circumference to inches
Answers
Answer: We have to convert 15.7cm into inches, the steps for the conversion are as follows:
[tex]\begin{gathered} 1in=2.54cm\rightarrow\frac{1\imaginaryI n}{2.54cm}=1 \\ \\ \frac{15.7cm}{1}\times\frac{1in}{2.54cm}=\frac{15.7}{2.54}in \\ \\ =6.18in \end{gathered}[/tex]Therefore the answer is 6.18in.
Hi I really do need help with this question. You don’t have to show work but it says we have to explain our answer.
Answers
The Solution:
Pattern A: start with 1 and add 3.
[tex]1,\text{ 4, 7, 10, 13}[/tex]Pattern B: Start with 1 and add 4.
[tex]1,\text{ 5, 9, 13, 17}[/tex]Comparing the two patterns, we have that:
Recall:
Median means the middle number.
The median of pattern A is 7 while that of pattern B is 9.
Thus, the median of pattern B is more than the median of pattern A by 2.
Question Solve: s + 159 = 25.
Answers
We have to solve for s:
[tex]\begin{gathered} s+159=25 \\ s+159-159=25-159 \\ s=-134 \end{gathered}[/tex]Answer: s = -134
Re-write the equation in slope-intercept form: 3x - 2y =6
Answers
To write it in the slope intercept form we have to slove the equation to y:
[tex]\begin{gathered} 3x-2y=6\rightarrow \\ 2y=3x-6 \\ y=\frac{3}{2}x-3 \end{gathered}[/tex]Write the function in factored form.
y = -2x³-4x²+4x+30x
I need help :)
Answers
The factored form is y = 2x(−x²−2x+17).
From the question, we have
y = -2x³-4x²+4x+30x
=−2x³−4x³+4x+30x
=−2x³−4x³+34x
=2x(−x²−2x+17)
Multiplication:
Finding the product of two or more numbers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis. Multiplication tables are the main use that is obvious. In mathematics, the repeated addition of one number in relation to another is represented by the multiplication of two numbers. These figures can be fractions, integers, whole numbers, natural numbers, etc. When m is multiplied by n, either m is added to itself 'n' times or the other way around.
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Using the image below. Write the equation of the line fully simplified slope-intercept form. NO SPACES BETWEEN TERMS * just letting you know the answer is not y=-5x+2 or y=6x+2
Answers
The slope-intercept form is
[tex]y=mx+b[/tex]m is the slope
b is the y-intercept
The rule of the slope of a line that passes through points (x1, y1) and (x2, y2) is
[tex]m=\frac{y2-y1}{x2-x1}[/tex]From the given graph, the line passes through points (1, -4) and (0, 2)
Let (x1, y1) = (1, -4) and (x2, y2) = (0, 2)
[tex]\begin{gathered} m=\frac{2-(-4)}{0-1} \\ m=\frac{2+4}{-1} \\ m=\frac{6}{-1} \\ m=-6 \end{gathered}[/tex]Substitute the value of m in the form of the equation
[tex]y=-6x+b[/tex]Since the line intersects the y-axis at point (0, 2)
Then the y-intercept is 2
Then b = 2
The equation of the line is
[tex]y=-6x+2[/tex]Graph f(x)=log1/2 (x)
Answers
The coordinate are (0.8,0)
Answer:
Step-by-step explanation:
The scatter plot and line of best fit below show the length of 12 people's femur (thelong leg bone in the thigh) and their height in centimeters. Based on the line of besfit, what would be the predicted height for someone with a femur length of 72 cm?Answer: ____ cm.
Answers
Answer:
230
Explanation:
First, we find the equation fo the line point-slope form.
The slope of the line is
[tex]m=\frac{209-202}{63-60}=\frac{7}{3}[/tex]With the slope of the line in hand, we now write the point-slope form of the equation using the point (63, 209)
[tex]y-209=\frac{7}{3}(x-63)[/tex]With the equation of the line in hand, we now use it to find the value of y at x = 72.
Putting in x = 72 in the above equation gives
[tex]y-209=\frac{7}{3}(72-63)[/tex][tex]y-209=\frac{7}{3}\cdot9[/tex][tex]y-209=21[/tex]adding 209 to both sides gives
[tex]y=230[/tex]which is our answer!
Hence, the predicted height for someone with a femur length of 72 cm is 230 cm.
i only need help with question 3 thats in the attachment
Answers
Answer:
Step-by-step explanation:
3) Parallel and equal
b/c the sides are parallel, and also, b/c there is a right angle in the interior, it makes the sides equal length also.
Suppose there is a triangle with sides a, b, and c and angles A, B, and C. Using the known given information below and the law of sines, what is the measure of side a? Round your answer to the nearest whole number, if necessary.c = 9 cmA = 22°C = 13°Answers24 cm40 cm5 cm15 cm
Answers
Given
There is a triangle with sides a, b, and c and angles A, B, and C.
And,
c = 9 cm
A = 22°
C = 13°
To find:
The value of a.
Explanation:
It is given that,
There is a triangle with sides a, b, and c and angles A, B, and C.
And,
c = 9 cm
A = 22°
C = 13°
That implies,
By using sine law,
[tex]\begin{gathered} \frac{\sin C}{c}=\frac{\sin A}{a} \\ \Rightarrow\frac{\sin13\degree}{9}=\frac{\sin22\degree}{a} \\ \Rightarrow a=\frac{9\times\sin22\degree}{\sin13\degree} \\ \Rightarrow a=14.9875 \\ \Rightarrow a=15cm \end{gathered}[/tex]Hence, the value of a is 15cm.
Writing an equation of an… Given the foci and major axis length
Answers
We need to find the equation of the ellipse given the foci and major axis.
The equation is given by:
[tex]\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1[/tex]We have the foci points at (2,4) and (2,-6). The distance is 10 units, then the center is equal to half value c=5.
If the length of the major axis is 12.
Major axis length = 2a
Then
12 = 2a
a=12/2
a=6
To find b, we have the next equation:
[tex]\begin{gathered} b^2=a^2-c^2 \\ Replacing \\ b^2=6^2-5^2 \\ b^2=36-25 \\ b^2=11 \\ Solve\text{ for b} \\ b=\sqrt[]{11} \end{gathered}[/tex]Now, the center c is given by the point (2,-1). This point is in the middle of both foci points
Finally, we can replace on the ellipse equation:
[tex]\begin{gathered} \frac{(x-h)^{2}}{a^{2}}+\frac{(y-k)^{2}}{b^{2}}=1 \\ Replacing,\text{ the result is} \\ \frac{(x-2)^2}{6^2}+\frac{(y-(-1))^2}{(\sqrt[]{11})^2}=1 \end{gathered}[/tex]12) Alyssa draws a rectangle that is 2/3 of ameter long and 3/5 of a meter wide. What isthe area of this rectangle?
Answers
A=LW
L=2/3
W=3/5
A= (2/3)(3/5)
A=2/5 or 0.4