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

.48 covert to fraction

Answers

Answer:

12/25

Step-by-step explanation:

answer: 12/25 48%
explanation: Since there are 2 digits in 48, the very last digit is the "100th" decimal place. So we can just say that . 48 is the same as 48/100. terms by dividing both the numerator and denominator by 4.

9. All state names have at least two syllables. True or false

Answers

Answer:

False

Step-by-step explanation:

Only six states have two syllables in their name.

No, only six states have at least two syllables.

Here,

We have to check the given statement '' All state names have at least two syllables'' is true or false.

What are states which have at least two syllables?

There are only 6 states have at least two syllables.

1. Georgia.

2. Kansas.

3. New York.

4. Texas.

5. Utah.

6. Vermont.

Now,

There are only 6 states have at least two syllables.

Hence,

The given statement '' All state names have at least two syllables'' is false.

Learn more about the states have at least two syllables visit:

https://brainly.com/question/6281117

#SPJ2

You have a part-time job. You earn $7.75 per hour. If you work 20 hours
each week, what is your straight-time pay for each week?

A. $140
B. $145
C. $148
D. $150
E. $152
F. $155

Answers

Answer:

F. $155

Step-by-step explanation:

For this problem we simply need to multiply the base hourly pay by the amount of hours worked to find the straight-time pay for each week.

$7.75 * 20 = $155

Thus, your weekly pay will be $155.

Cheers.

F 155 earned per hour if you worked

9.63 repeating as a mixed number

Answers

Answer:

9 and 7/11

Step-by-step explanation:

i hope this helps

9. The maximum value of a data set
consisting of 25 positive integers is 84. A
new data set consisting of 26 positive
integers is created by including 96 in the
original data set. Which of the following
measures must be 12 greater for the new
data set than for the original data set?​

Answers

Answer:

Let m be the minimum value of original data set.

Given -

The range of original data set = 84 -mA new data set consists of 26 positive integers and 96 original data set.

Therefore, the range of new data set is 96-m.

Now, we can find the difference between two ranges by subtracting the ranges -

[tex] \\ \implies \sf \: (96 - m) - (84 - m) \\ \\ \\ \sf \footnotesize \: using \: \: distributive \: \: property \: - \\ \\ \\ \bf \: it \: \: will \: \: be \: \: equal \: \: to \: \: 12. \\ [/tex]

Therefore, the range of the new data set must be greater than the range of original data set.

If SE = 7 and EG = 20 , then SG =

Answers

try 13 and if it’s wrong im sorry

If QR = 18, RS = x -11, and QS = 2x - 11, what is QS?

Answers

Answer:

QS =25

Step-by-step explanation:

QR + RS = QS

18 + (x-11) =2x-11

7 +x =2x -11

18=x

Plug in x

2(18) -11

36-11

QS=25

18 + (18-11) = 2(18)- 11

18+ 7 = 36 -11

25= 25

True

Answer:

QS=QR+RS

2x-11= 18+x-11

2x-x= 18

x= 18

QS=2*18-11

=36-11

=25

Inez says you can plot 4/5 on a number line, but Jeremiah says you cannot. Who is correct?

Answers

Inez is correct, 4/5 is a real number

Answer:

Inez is correct.

Step-by-step explanation:

You can plot any real number on a number line.

Solve 6 sec^2x-1= 7.

Answers

x=4

2x-1=7
Move the constant to the right - 2x=7+1
Calculate - 2x=8
Divide both sides - x=4

12+8x10.00000000000000000

Answers

Answer:

92

Step-by-step explanation:

10.00000000000000000 is the same as just 10

so through bodmas/bidmas you know thta the multiplication ha sto be done first so 8 x 10 =80

no add the first value.

12+80=92

Which coordinate pair represents the reflection of (-4,6)

Answers

The answer is C because when it reflects the 4 stays negative and the 6 because negative because it reflected on the negative side

Hope this helped! :))

Fraction Operation pls help

Answers

61/45 or 1 16/45 or 1.35

A 3-column table has 3 rows. Column 1 is labeled Item with entries bread, peanut butter, jelly. Column 2 is labeled Quantity with entries 25 loaves, 2,400 ounces, 2,400 ounces. Column 3 is labeled unit price with entries 1 dollar and 95 cents per loaf, 16 cents per ounce, 8 cents per ounce. The table shows the quantity and unit prices for the items Camillo bought. Total cost for bread: ...? Total cost for peanut butter: .....? Total cost for jelly: ....? If he would have spent $986.50 without better-buy unit prices, how much money did he save?

Answers

Answer:

Bread total: 48.75

Penute butter: 384

Jelly: 192

He would have saved 361.75

Step-by-step explanation:

986.50- 48.75- 394-192= 361.75

The length of a rectangle is four times its width. If the area of the rectangle is 100 in2, find its perimeter.

Answers

Answer:

the perimeter is 50 inches squared

Step-by-step explanation:

if the length is 4 times that means the sides are 20 and 5

what is the slope of the line ?

Answers

Answer:

The slope is -1.

Answer:

-1

Step-by-step explanation:

To solve follow the formula Y1-Y2 over X1-X2, pick two points like (0,2) and (1,1) then plug them in.

2-1 over 0-1 which equals -1/1

What is 9.1% of 80? Round to the nearest hundredth (if necessary).

Answers

Answer:

7.28

Step-by-step explanation:

Answer: 7.28

Step-by-step explanation:

If elephant grass grows 3 2/5 inches a day, how many inches will it grow in 7 days?

Answers

Step-by-step explanation:

do 3 2/5 times by 7 to get ur answer

-3/2+3/7 The denominator needs to be the same

Answers

Answer:

Step-by-step explanation:

To make the denominator same, find Lease common denominator of 2 and 7

LCD of 2 and 7 = 2*7 = 14

[tex]\frac{-3}{2}+\frac{3}{7}=\frac{-3*7}{2*7}+\frac{3*2}{7*2}\\\\\\=\frac{-21}{14}+\frac{6}{14}\\\\\\=\frac{-21+6}{14}\\\\\\=\frac{-15}{14}\\\\\\=-1\frac{1}{14}[/tex]

Answer:

-15/14

Step-by-step explanation:

Find the Least Common Denominator (LCD) for the two fractions, so the operation can be performed. The LCD is constructed from the factors the fractions have, making sure that all factors they need are included.

In our case, for the first fraction, the factor 2 is needed, and for the second fraction, the factor 7 is needed. Then the LCD is: 2 * 7 = 14

So now, let's write both denominators with the same LCD, by finding the appropriate equivalent fractions:

- 3 /2 = - (3*7) / (2*7) = -21 / 14

3 / 7 = (3*2) / (7*2) = 6 / 14

Therefore the combining can now be performed and renders:

- (21/ 14) + (6/ 14) = - (15/14)

The result is then the fraction : -15/14

A car rental business charges a daily fee along with a one-time fixed charge to refuel the car when it is returned. The equation the business uses to calculate the total rental cost, c is c=15d+24c = 15 d + 24, where d represents the number of rental days. What is the daily increase in the total cost of the rental?

Answers

Answer:

$15

Step-by-step explanation:

Since we are given the actual equation, which is c = 15d + 24 (it is repeated in the question twice) we can see that the independent variable would be the number of days that the car is rented. Therefore we can simply plug in a value for this to calculate c. So below we can see the total cost for 1 day rent (d = 1 ) and 2 days rented (d = 2)

c = 15(1) + 24 = 39

c = 15(2) + 24 = 54

Now we can simply subtract these two values and to see the daily increase

54-39 = 15

Therefore we can see that the total price will increase by $15 for each day that it is rented.

) One weekend, there were 98 pizzas ordered for the sophomore dorm. That weekend 19 customers ordered their pizza with just pepperoni, 16 customers ordered their pizza with just sausage, 20 ordered theirs with just onions, 15 ordered theirs with pepperoni and sausage, 9 ordered theirs with sausage and onions, 17 ordered theirs with pepperoni and onions, and 2 ordered theirs with all three items. How many customers ordered their pizza with pepperoni or sausage (or both)

Answers

Answer:

19+16+15=50 pizzas

Step-by-step explanation:

Graph the image of the given triangle under a dilation with a scale factor of –4 and center of dilation (0,0).

Answers

Step-by-step explanation:

Hey there!

The coordinates of a triangle are;

A (1,2)B (1,-2)C (-2,-2)Scale factor = -4 and centre at (0,0)

Now, We have;

P(x,y)----------- P'(kx, ky)

Keep formula;

A(1,2)---------- A'(-4×1 ,-4×2)

= A'(-4, -8)

B(1,-2)------------- B'(-4,8)

C(-2,-2)-------------C'(8,8)

[ The A' should be kept in (-4,-8). There was no place in this graph so, i kept it just below -7. Please while plotting remember to keep it on "-8".]

Hope it helps..

The sum of two numbers is seventy-two. Twice one of them equals ten times the other. What are the numbers? Please Help MEE It would be Amazing

Answers

Let's create a system of equations to solve this.

x + y = 72

2x = 10y

Let's solve this equation for x

2x = 10y

Divide both sides by 2

x = 5y

Plug 5y into our first equation to solve for y

5y + y = 72

Combine like terms

6y = 72

Divide by 6

y = 12

x = 5y = 5(12) = 60

Find the percent change. State whether it is an increase or decrease. Round to the nearest tenth of a percent. From 50 to 42

Answers

Answer:

16% decrease

Step-by-step explanation:

Pablo's retirement party will cost $8 if he invites 4 guests. If there are 6 guests, how
will Pablo's retirement party cost? Solve using unit rates.

Answers

Answer:

$12

Step-by-step explanation:

Step 1:

$8 : 4 = x : 6

Step 2:

4x = 48

Answer:

x = 12

Hope This Helps :)

A technician compares repair costs for two types of microwave ovens (type I and type II). He believes that the repair cost for type I ovens is greater than the repair cost for type II ovens. A sample of 61 type I ovens has a mean repair cost of $79.60, with a standard deviation of $23.47. A sample of 45 type II ovens has a mean repair cost of $75.25, with a standard deviation of $15.07. Conduct a hypothesis test of the technician's claim at the 0.05 level of significance. Let μ1 be the true mean repair cost for type I ovens and μ2 be the true mean repair cost for type II ovens.Step 3 of 4 : Determine the decision rule for rejecting the null hypothesis H0. Round the numerical portion of your answer to three decimal places.

Answers

The question is missing some parts. Here is the complete question.

A technician compares repair costs for two types of microwave ovens (type I and type II). He believes that the repair cost for type I ovens is greater than the repair cost in type II ovens. A samplle of 61 type I ovens has a mean repair cost of $79.60, with a standard deviation of $23.47. A sample of 45 type II ovens has a mean repair cost of $75.25, with standar deviation of $15.07. Conduct a hypothesis test of the technician's claim at the 0.05 level of significance. Let [tex]\mu_{1}[/tex] be the true mean repair cost for type I ovens and [tex]\mu_{2}[/tex] be the true mean repair cost for type II ovens.

Step 1 of 4: State null and alternative hypothesis for the test.

Step 2 of 4: Compute the value of test statistics. Round your answer to 2 decimal places.

Step 3 of 4: Determine the decision rule for rejecting the null hypothesis. Round the numerical portion of your answer to 3 decimal places.

Step 4 of 4: Make the decision for the hypothesis test. (Reject or fail to reject Null Hypothesis)

Answer and Step-by-step explanation:

First, state null and alternative hypothesis:

[tex]H_{0}: \mu_{1}=\mu_{2}[/tex]

[tex]H_{a}: \mu_{1}>\mu_{2}[/tex]

Use z-statistics:

[tex]z = \frac{x_{1}-x_{2}}{y}[/tex]

where x₁ and x₂ are the means and:

[tex]y=\sqrt{\frac{s_{1}^{2}}{n_{1}}+\frac{s_{2}^{2}}{n_{2}} }[/tex]

Calculating value of test stattistic:

[tex]y=\sqrt{\frac{(23.47)^{2}}{61}+\frac{75.25^{2}}{45} }[/tex]

[tex]y = \sqrt{9.030+5.046}[/tex]

[tex]y = \sqrt{14.076}[/tex]

y = 3.752

[tex]z = \frac{79.6-75.25}{3.752}[/tex]

z = 1.16

The test statistics is z = 1.16

The decision rule for rejecting null hypothesis is: [tex]\alpha[/tex] ≤ test statistics

Using z-score table, it is possible to determine p-value, which is:

p-value = 0.877

Comparing p-value with level of significance (α = 0.05):

0.877 > 0.05

Therefore, we fail to reject the null hypothesis.

There are 38 cars parked in the parking structure the parking structure is nor full to. Capacity there are 13 parking spaces that are empty what is the ratio of available parking spaces to parked cars

Answers

Answer: Decide which of the two given prices is the better deal and explain why. You can fill a 12 gallon tank of gas for $42.47 or buy gas for $3.60/gallon.

Step-by-step explanation:

Please help!!!!!!!!!!!

Answers

Answer:

with what?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Vertical angles are always congruent or equal

first when vertical angles are both 90 degrees , then vertical angles are supplementary and vertical

9-6=3, 6+3=9, 3+6=9 what is the missing fact family?

Answers

Answer:

9-3=6

Step-by-step explanation:

An addition/subtraction fact family has 2 addition equations and 2 subtraction ones.

The question already states both addition ones, but only one subtraction

The subtraction one stated is 9-6=3

The opposite is 9-3=6

Hope this helps :-)

solve for x). -1/3x < -6 . Enter the solution to the inequality ​

Answers

Answer

x≥18

Step-by-step explanation:

Maggie's brother is 8 years younger than twice her age. The sum of their ages is 25.
How old is Maggie?
Maggie is
years old.

Answers

Answer:

the sum is 25 not 24?

Step-by-step explanation:

Other Questions
Rearrange the formula C = 5 9 (F 32) for F. The amendment states but a truism that all is retained which has not been surrendered. There is nothing in the history of its adoption to suggest that it was more thandeclaratory of the relationship between the national and state governments as it hadbeen established by the Constitution before the amendment or that its purpose was otherthan to allay fears that the new national government might seek to exercise powers not granted, and that the states might not be able to exercise fully their reserved powers.- United States v. Darby Lumber Co. (1941)Q: The excerpt refers to which amendment to the U.S. Constitution?A) Seventh AmendmentB) Eighth AmendmentC) Ninth AmendmentD) Tenth Amendment Select the correct answer. Adalyn wants to find a job in Education and Training. She has excellent analytical thinking and leadership skills, but she does not want to work directly with students. Which career would be the best option for her? A. curriculum developer B. high school teacher C. school counselor D. speech-language pathologist What continent is west of Europe? Write the equation of the line fully simplified slope-intercept from. What assumptions does the author make when presenting the information? Is there other historical data that should be considered before making such claims? *EASTER ISLAND* That passes through (-4,0) and is parallel to y= -2x+1 Write the equation for the transformation of f(x) = |x| as shown in the graph. What is heterotrophic nutrition? Five hundred sixty two and nine tenths Jimmy learns there is no shoe store in town.why is owning one the perfect fitfor Jimmy? How are science and technology the same Line segment AB has endpoints A (2, 3) and B(-4, 6). What are the coordinates of the midpoint of AB? I need help with full explanation if anybody knows this? Re-Write this sentence so it is in passive voice: "The dog ate the cat." There are two options for buying crickets option A.7 pounds of crickets for 3.15 option B.3 pounds of crickets for 1.47 which option is better to buy justify your answer What is the first step in the process of setting health goals? If you tell a friend, "John's house is a 20 minute drive north of my house," which kind of location are you describing? Relative location Absolute location What is the equation of the graph shown? How did the study of tzi's DNA change the way scientists viewed the development of modern humans?They learned that tzi the Iceman was a close relative of today's humans.They learned that early humans developed differently and died off from the cold.They learned that the DNA found in early humans can be found in today's humans.They learned that the DNA of early humans was much older than they originally believed.