What is the value of x? Enter your answer in the box. x = cm A bow tie shape polygon made of two bow ties that share a vertex. The shape is created by two segments intersecting forming two triangles with vertical angles. An alternate interior angle of the triangles are marked congruent to each other. The larger triangle is on the left and the smaller triangle is on the right. In the larger triangle, the left side of the triangle is 32 centimeters. The south side of the triangle is 40 centimeters. On the smaller triangle, the right side of the triangle is 4 centimeters. The north side of the triangle is labeled x.

What Is The Value Of X? Enter Your Answer In The Box. X = Cm A Bow Tie Shape Polygon Made Of Two Bow

Answers

Answer 1

Answer:

side x is 5 cm long

Step-by-step explanation:

Use proportions, given that the two triangles are similar because they contain three equal angles:

One angle due to connected by the vertex (oppose by the vertex), another angle as marked with the tick, and the third one has to be the same due to the fact that the addition of the three internal angles of a triangle must equal 180 degrees.

Then our proportion becomes:

[tex]\frac{4}{32} =\frac{x}{40}[/tex]

And then we solve for x by multiplying both sides by 40 (to eliminate the denominator on the right):

[tex]\frac{4}{32} =\frac{x}{40} \\\frac{4*40}{32} =x\\ x=5\,\,cm[/tex]

Answer 2

Answer:

5cm

Step-by-step explanation:

Just took the test :)


Related Questions

Round 452,906 to the nearest hundred thousand, ten thousand, thousand, hundred, ten

Answers

Answer:
500,000
450,000
453,000
452,900
452,910

Explanation:
Look to the right one digit of the place they are asking to round up to. If it’s either greater than or equal to 5, then you round up the place they want. If it’s not, then it stays the same. Then all the number to right of it become 0s.

Rounding 452,906 to each place is

(a) to nearest hundred thousand is 500,000

(b) to nearest ten thousand is 450,000

(c)to nearest  thousand is 453,000

(d) to nearest  hundred is 452,900

(e) to nearest  tens is 452,910

Given :

Round the number 452,906 to each place given below

(a) Round to nearest hundred thousand

In the given number , 4 is in hundred thousand's place

To round to nearest hundred thousand, we look at the number in ten thousands place that is 5. 5 is equal to 5. So we add 1 with the number in hundred thousand . write 0 in remaining places

452,906,  Round to nearest hundred thousand is 500,000

(b) To round to nearest ten thousand, we look at the number in thousands place that is 2. 2 s less than 5. So we  keep 5 in ten   thousands place . write 0 in remaining places

452,906,  Round to nearest ten thousand is 450,000

(c)To round to nearest thousand, we have 9 in hundreds place that is greater than 5. So add 1 with 2  and write 0 in remaining places

452,906,  Round to nearest  thousand is 453,000

(d) To round to nearest hundred, we have 0 in tens place that is less than 5. So write 9 as it is  and  0 in remaining places

452,906,  Round to nearest  hundred is 452,900

(e) To round to nearest ten , we have 6 in one's place that is greater than 5.

So add 1 with 0  and write 0 in one's place

To round to nearest thousand, we have 9 in hundreds place that is greater than 5. So add 1 with 2  and write 0 in remaining places

452,906,  Round to nearest  tens is 452,910

Learn more :  brainly.com/question/3123889

"If four shirts cost $112, how much will 10 shirts cost? Assume all the shirts are the same price."

Answers

Answer:

$280

Step-by-step explanation:

4 shirts = $112

1 shirt = $112 ÷ 4

= $28

10 shirts = $28 × 10

= $280

Answer:

Step-by-step explanation:

112/4= $28 each

$28 x 10 shirts = $280

You asked a sample of individuals what kind of animal is their favorite. Of the 167 individuals in your sample, 52 of them answered "dog". Which of the following gives a 95% confidence interval for the true percentage of individuals whose favorite animal is a dog
a. (23.4%, 38.9%)
b. (16.8%, 32.3%)
c. (3.1696, 3.2696)
d. (2.21%,4.21%)

Answers

Answer:

a. (23.4%, 38.9%)

Step-by-step explanation:

Р = x/∝ = 52/167 = 0.3114

At 95% confidence level

∝ = 1 - 0.95 = 0.05

Zerit = Z0.05/2 = 1.96

Р ± Zerit [tex]\sqrt{P(1-P) / n}[/tex]

= 0.3114 ± 1.96 [tex]\sqrt{0.3114(1-0.3114) / 167}[/tex]

= 0.3114 ±  0.0702

= 0.2412 or 0.3816

= 24.1% or 38.1%

Closest Option = 23.4%, 38.9%

A 95% confidence interval for the true percentage of individuals whose favorite animal is a dog is (23.4%, 38.9%)

The formula for calculating the confidence interval based o proportion is expressed according to the formula:

[tex]p\pm z\sqrt{\frac{p(1-p)}{n} }[/tex]

z is the z-score at 95% confidence interval

p is the proportion

n is the sample size

Given the following parameters

p = 52/167 = 0.31

z = 1.96

n = 167

Substitute the given parameters into the formula to have:

[tex]CI=0.31 \pm 1.96\sqrt{\frac{0.31(1-0.31)}{167} } \\CI=0.31 \pm 1.96\sqrt{\frac{0.31(0.69)}{167} } \\CI=0.31 \pm 1.96(0.035)\\CI=0.31\pm 0.0701\\CI = (0.31-0.0701, 0.31+0.0701)\\CI=(0.234, 0.389)[/tex]

Hence a 95% confidence interval for the true percentage of individuals whose favorite animal is a dog is (23.4%, 38.9%)

Learn more on confidence interval here: https://brainly.com/question/17212516

which is right??????

Answers

Answer:

Point D

Step-by-step explanation:

To draw a perpendicular bisector between BE, you have take more than half of the length BE on the compass. So, it should be D

Sabas dance class is 3 miles from her home

Answers

Ok what is the question so I can give you the answer

The zeroes of the function are​

Answers

The answer is -2 , 0, and 4

Translate and solve: 94% of what number is 611?

Answers

Answer:

574.34

Step-by-step explanation:

Ashley's Internet service is terribly unreliable. In fact, on any given day, there is a 25 % chance that her Internet connection will be lost
at some point that day. What is the probability that her Internet service is not broken for five days in a row? Enter a fraction or round
your answer to 4 decimal places, if necessary.

Answers

Answer:

The probability that her internet service will not be broken for five days in a row is 243/1024

Step-by-step explanation:

Here, we want to calculate the probability that her internet service is not broken for five days in a row

Let the event that her internet will be broken be B and the event that her internet will not be broken be N

P(B ) = 25% = 0.25

P(N) = 1-0.25 = 0.75 = 3/4

Thus, the probability that her internet is not broken for five days in a row = P(N) * P(N) * P(N) * P(N) * P(N)

= 3/4 * 3/4 * 3/4 * 3/4 * 3/4 = 243/1024

Describe the transformation of the graph of the parent function y = √x for the function y = √x + 7 + 5.

Answers

Answer:

First part 7 units left and 5 units up

The 2nd part is v ≥-7 and the third part is Y≥5

Step-by-step explanation:

Done it in Edge and got it right :)

The transformation of parent function [tex]y = \sqrt{x }[/tex] to [tex]y = \sqrt{x + 7} + 5[/tex] is first translated 7 units left and then it translated 5 units up.

What is function?"It defines the relation between input and output values.""In function, for each input there is exactly one output."What is transformation of function?

"It is nothing but mean transforming the function from one form to another."

For given question,

We have been given a function [tex]y=\sqrt{x}[/tex]

We need to describe the transformation of the graph for the function [tex]y = \sqrt{x + 7} + 5[/tex]

We know, if f(x) is transformed to f(x + a) then it means function f(x) is translated 'a' units left.

So, [tex]y=\sqrt{x+7}[/tex] means the function [tex]y = \sqrt{x}[/tex] is translated 7 units left.

We know, if f(x) is transformed to f(x ) + a then it means function f(x) is translated 'a' units up.

So, [tex]y = \sqrt{x + 7} + 5[/tex] means the function [tex]y = \sqrt{x + 7}[/tex] is translated 5 units up.

Therefore, the parent function [tex]y = \sqrt{x }[/tex] is first translated 7 units left and then it translated 5 units up.

Learn more about the transformation of the graph of the function here:

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Kai had a gross weekly paycheck of $616 last week. Kai worked 6 hours for 4 of the days and 8 hours on 1 day. What is Kai's hourly rate of pay? a. $16.21 b. $19.25 c. $20.53 d. $25.67 Please select the best answer from the choices provided

Answers

The correct answer is B. $ 19.25

Explanation:

To calculate the hourly rate of pay, first, let's calculate the total number of hours Kai worked, and then divide the total earned into the number of hours.

6 hours x 4 days = 24 hours

8 hours x 1 day = 8 hours

24 hours + 8 hours = 32 hours

This shows Kai worked a total of 32 hours. Now to find the hourly rate of pay, follow this procedure:

$616 (total earned) ÷ 32 hours = $19.25 each hour

This means Kai earns $19.25 for each hour of work and therefore the hourly rate of pay is $19.25.

Answer:

B

Step-by-step explanation:

Find the length of each segment with endpoints A and B. Select the exact answer. (This means that it is either an integer or in simplest radical form) A (5,-6) B (-2,-8) a 10 b 3 c53 d 17 ​

Answers

It’s b bucko I did that

The door was 6ft 7 inches high. How many inches is that?
What the answer

Answers

Answer:

79 inches is how tall the door is

Step-by-step explanation:

The answer is 79 inches

Explanation
6x12 = 72 + 7 =79

M=3 what is (5m-m3)+m(9m-25)=

Answers

Answer:

-6

Step-by-step explanation:

[tex](5m-m^3)+m(9m-25)\\\\m =3[/tex]

Substitute : m=3 into the given equation

[tex](5(3)-(3)^3)+3(9(3)-25)\\\\Follow\:the\:PEMDAS\:order\:of\:operations\\\\\mathrm{Calculate\:within\:parentheses}\:\left(5\left(3\right)-\\\left(3\right)^3\right)\::\quad -12\\\\=-12+3\left(9\left(3\right)-25\right)\\\\\mathrm{Calculate\:within\:parentheses}\:\left(9\left(3\right)-25\right)\::\quad 2\\=-12+3\times\:2\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:3\times\:2\::\quad 6\\=-12+6\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:-12+6\:\\:\quad -6[/tex]

I need this right now please

Answers

I think this is the fraction -4/9
Yes i agree it is the first option

(True or False) The set of ordered pairs {(6,4),(2,-5),(-2,4),(6,-4)} is a function

Answers

Answer:

False

Step-by-step explanation:

The same function input (the first number in the pair) cannot have two different outputs (the second number in the pair).

(6, 4) 4 is one output.

(6, -4) -4 is another output.

Mr. Weston boughtn,new microscopesn for his science classroom. each microscope cost $99.90, and he spent a total of $499.50 how many nicroscopesn,did Mr Weston buy?​

Answers

Answer:

5

Step-by-step explanation:

Take the total amount spent and divide it by the cost of each microscope.

$499.50 ÷ $99.90 = 5

Answer:

5

Step-by-step explanation:

find the value of x when lines w and v are parallel.

Answers

Answer: B. 17

Step-by-step explanation:

4x-3 = 65

Add 3 on both sides

4x = 68

Divide by 4 on both sides

x = 17

BOOM!

Answer:

B) 17

Step-by-step explanation:

need help!! which is tight?

Answers

Answer:

65°

Step-by-step explanation:

Complimentary angles are two angles that add up to 90°

So, to find the unknown angle, simply subtract 25 from 90.

90-25=65

The other angle is 65°

65* maybe this is correct answer
90-25=65

What is the slope of the line in the graph?

Answers

Edit: I have poor vision! My anwser was incorrect

Answer: m= -3/4

Step-by-step explanation:

can start by looking at the squares of the graph and do the rise over run

. Since it goes down it’s fall over crawl. -3/4

what are prime numbers?

Answers

Answer:

A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers.

Answer:

Prime numbers are positive integers that have only 2 factors: Itself, and 1.

For example, 13 is a prime number because it has only 2 factors that are: 1 and 13.

1 is NOT a prime number as it only has 1 factor which is 1.

Help me solve this problem.

Answers

We can write an equation to resemble the problem.

1160 = 170 + 50x

x equals the number of boxes he is carrying.

Solve for x.

1160 = 170 + 50x

990 = 50x

19.8 = x

We can't round up because that will be to much weight. So, we are going to round down.

19.8 -> 19

Therefore, the answer is 19.

Best of Luck!

Answer: 19 boxes

Step-by-step explanation: Subtract the delivery person to get 990 lbs. then divide by 50 to get 19.8, but since we can't have 0.8 of a box and 20 boxes we go over, 19 boxes is the correct answer.

What is a complementary angle versus a supplementary angle?
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

Two angles are called complementary when their measures add to 90 degrees. Two angles are called supplementary when their measures add up to 180 degrees.

Step-by-step explanation:

If sum of two angles equals
90

then the two angles are said to be complementary.
If sum of two angles equals
180

then the two angles are said to be supplementary.
Verticall Angles are the angles opposite each other when two lines cross. They are always equal. "Vertical" in this case means they share the same Vertex (corner point), not the usual meaning of up-down.

Perform the indicated operation.
g(x) = x - 3
f (x) = x3 + 4x
Find g(x) - f (x)

Answers

Answer: g(x)-f(x)=-x³-3x-3

Step-by-step explanation:

Since we are given g(x) and f(x), we can directly subtract them to find g(x)-f(x).

x-3-(x³+4x)           [distribute -1]

x-3-x³-4x              [combine like terms]

-3-x³-3x                 [rewrite]

-x³-3x-3

Now, we know that g(x)-f(x)=-x³-3x-3.

the quotient of 15 and y

Answers

Answer:

Because we are working with a variable (y) and we don't know what number it represents, we can only write down what the calculation would be, but we can't get the actual number answer.

15/y

Step-by-step explanation:

A quotient is the answer to a division.

The statement "the quotient of 15 and y" can be written as 15/y

We have,

The statement "the quotient of 15 and y".

This can be written as,

15/y

The expression "15/y" represents the quotient of 15 and y.

When you divide 15 by y, you are calculating the quotient or the result of the division.

The numerator (15) represents the dividend, which is the number being divided, and the denominator (y) represents the divisor, which is the number by which you divide.

Thus,

The statement "the quotient of 15 and y" can be written as,

15/y

Learn more about expressions here:

https://brainly.com/question/3118662

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Holmes Junior High has 125 more students than Harper Junior High. When the two schools are merged there will be 579 students. How many students currently attend each school?

Answers

Answer: 454

Step-by-step explanation: Holmes has 125, Merged there is 579, 579-125 = 454 :) easy subtraction

Martin spent $68 on a new drone that he had been saving for. Now, he has
$41 left in his savings jar. Click the equation that could be used to find the total
of his savings, s, before he bought the drone,
S + 68 = 41
S - 68 = 41
68
68 - s = 41
= 41
How many dollars did Martin have saved before he bought the drone?
dollars

Answers

Answer:

The answer is 109

Step-by-step explanation:

i'm too lazy to explain the math but that's the answer

Graph the solution of 5 ≤ 9 - 4a
A) A
B) B
C) C
D) D

Answers

Answer:

D

Step-by-step explanation:

♡ The Question ♡

Graph the solution of 5 ≤ 9 - 4a

A) A

B) B

C) C

D) D

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*

♡ The Answer ♡

-I believe the answer should be the first choice, A!

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*  

♡ The Explanation/Step-By-Step ♡

-No Explanation/Step-By-Step provided!  

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*

♡ Tips ♡

-No Tips provided!

23,500 rounded to the nearest thousand?

Answers

Answer:

24,000

Step-by-step explanation:

is simple just 3500 is closer to 4000 than 3000

Answer:

24,000

Step-by-step explanation:

At Joe's Clown Car Rental Agency, renting a car costs $35 plus $0.75 for every mile it is
driven.

Answers

Answer:

.75x+35

Step-by-step explanation:

you multiply how ever many times you would add .75 in this case you dont know so u would put and x there and 35 is your starting point

Factor by grouping.
8y2 + y + 40y + 5

Answers

Answer: (8y+1)(y+5)

Step by step:
8y2 + y +40y + 5
y(8y+1) + 5(8y+1)
(8y+1)(y+5)
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