The following triangles are similar. Solve for x:

The Following Triangles Are Similar. Solve For X:

Answers

Answer 1

Answer:

5

Step-by-step explanation:

Common factor: 4. Divide 20 by 4 to get 5

Answer 2

Answer: X=5

Step-by-step explanation:

Since the triangles are similar shape-wise, then that means that the sides are going to be similar numerically.

12/4 got us 3, which is the side of that smaller triangle. Since we divided 12 by 4, then we need to divide 20 by 4 to get the unknown side. 20/4 is 5, therefore x is 5.


Related Questions

Is (9,-5) a solution to the inequality y < -1/3x -2?
yes
no

Answers

Answer:

No

Step-by-step explanation:

[tex]y<-\frac{1}{3} x-2[/tex]

put in 9 for x

y<-\frac{1}{3} 9-2

y<-3 -2

y<-5

then put in -5 for y

-5<-5

Since they are the same number that makes the equation impossible

Hope that helps :)

Name the marked angle in 2 different ways.

Answers

Answer:

PQR and RQP

Step-by-step explanation:

We name the angle by providing 3 points - the middle point needs to be the tip of the angle, the other two should lie on the sides. The order of the sides doesn't matter (unless we define it to), so both PQR and RQP are valid names for this angle.

Step-by-step explanation:

This question is very straightforward.

Angle names always has a format: angle aBc

, where the middle letter is always the angle you want to use or find the value of.

Therefore in this case, you can name the angle , as angle RQP or angle PQR.

The sum of three consecutive integers is -126. What are the integers?

Answers

Answer:

Three consecutive even integers can be represented by x, x+2, x+4. The sum is 3x+6, which is equal to 108. So its, 3x+6=108.

The minimum value of h(x) is 2 *
h(x) = 3(x + 1)^2 – 2
True or
False???

Answers

9514 1404 393

Answer:

  False

Step-by-step explanation:

The minimum value is -2.

what is the area of this partial circle with a radius of 14 inch

Answers

Step-by-step explanation:

Since this circle is partial we will divide the area of the whole circle by 2

the area of a circle is expressed by [tex]\pi r^2[/tex] so insert 14 for the radius.

[tex]14^2\pi[/tex]

[tex]196\pi[/tex]

divide the area by 2

[tex]98\pi=307.876[/tex]

Hope that helps :)

You and each of your 20 friends are each going to go out and randomly sample 50 people in Chicago and ask them how many Batman movies they have seen and will compute the average number for your sample of size 50. (a) Do you think that all 21 of you will have the exact same average number

Answers

Answer:

No

Step-by-step explanation:

No, absolutely not. I don't think we'd have the same sample average number. The randomising of values is quite high, very high, for one to think that we'd end up having the same average. Walking out there, talking to random people who don't even know each other at all means they will definitely give different numbers. Again, when you look at it, there are 21 of us, 21 is also a high number as well.

I believe with all these factors involved and actively militating, 21 people can't have the same sample average. No!

Point M is on line segment LN. Given LN=4x, MN= x, and LM=3, determine the numerical length of LN.

Answers

Answer:

LN = 4 units

Step-by-step explanation:

Since M is on LN , then

LN = LM + MN , that is

4x = 3 + x ( subtract x from both sides )

3x = 3 ( divide both sides by 3 )

x = 1

Then

LN = 3 + x = 3 + 1 = 4

The required length of the line LN = 4.

Given that,
Point M is on the line segment LN. Given LN=4x, MN= x, and LM=3,  to determine the numerical length of LN.

What is a line?

The line is a curve showing the shortest distance between 2 points.

LN = LM + MN
4x = 3 + x
4x - x = 3
3x = 3
x = 3 / 3
x = 1

Length of LN
LN = 4x
     = 4 * (1)
     = 4

Thus the required length of the line LN = 4.

Learn more about lines here:

brainly.com/question/2696693

#SPJ5

Craig wants to put molding around the edge of a rectangular frame that is 8 inches wide and 14 inches long. The molding costs $0.75 per inch. He buys 3 additional inches of molding. What is the total cost?
11.25
25.75
35.25
84.75
please explain your work

Answers

Answer:

$35.25

Step-by-step explanation:

Find the total number of inches needed.

The rectangle has 2 sides of 8 inches and 2 sides of 14 inches.

8 + 8 + 14 + 14 = 44 inches

he also was an additional 3 inches

44 + 3 = 47

Now we can find the total price

47 inches × $0.75 = $35.25

Hope this helps!

1. Verizon Wireless would like to estimate the proportion of households that use cell phones for their phone service without a land line. A random sample of 150 households was selected and 48 relied strictly on cell phones for their service. Based on the sample, construct a 95% confidence interval for the true proportion of households which rely strictly on cell phones for their phone service.

Answers

Answer:

The 95% confidence interval for the true proportion of households which rely strictly on cell phones for their phone serviceis (0.2453, 0.3947).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

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

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

A random sample of 150 households was selected and 48 relied strictly on cell phones for their service.

This means that [tex]n = 150, \pi = \frac{48}{150} = 0.32[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.32 - 1.96\sqrt{\frac{0.32*0.68}{150}} = 0.2453[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.32 + 1.96\sqrt{\frac{0.32*0.68}{150}} = 0.3947[/tex]

The 95% confidence interval for the true proportion of households which rely strictly on cell phones for their phone serviceis (0.2453, 0.3947).

How much are your fixed expenses for the month?
Monthly Expenses
Mortgage
$897.00/month
Clothing
$96.00/month
Food-restaurants
$56.00/week
Telephone
$33.95/month
A. $1,082.95
B. $1,250.95
OC. $1,154.95

Answers

Answer:

The correct answer is B. $1,250.95.

Step-by-step explanation:

Given that I have monthly mortgage expenses for $ 897.00 / month, clothing for $ 96.00 / month, food and restaurants for $ 56.00 / week, and telephone for $ 33.95 / month, to determine how much are my fixed expenses for the month, the following calculation must be performed:

897 + 96 + (56 x 4) + 33.95 = X

897 + 96 + 224 + 33.95 = X

1,250.95 = X

So, my fixed expenses for the month are $ 1,250.95.

Answer:

$930.95

Step-by-step explanation:

just took the test

Determine the missing factor in × 4.3 = 12.9

Answers

Answer: 3

Step-by-step explanation:

12.9/4.3 will give you the number it was multiplied by.

Solve percent problems (if anyone has done this test can you please screen shot it or just type the answers) Thank you very much!

Answers

x seniors/1000 total seniors=63/100

x would turn out to be 630 :)

me ayudan por favor?
solo son 10 preguntas abc

Answers

Answer:

hi

Step-by-step explanation:

URGENT WILL GIVE YOU BRAINLIEST!!!

Answers

Answer:

#3

Step-by-step explanation:

At the pet fair, Darlene’s dog
weighed 5 times as many pounds
as Leah’s dog. Together, the dogs
weighed 60 pounds.
How many pounds does Leah’s
dog weigh?

Answers

Answer:

Darlene's dog weighs 10 pounds.

Step-by-step explanation: 5 x 10 = 50 and 50 + 10 = 60 pounds.

Hope this helps.

The average value of a function f(x, y, z) over a solid region E is defined to be fave = 1 V(E) E f(x, y, z) dV where V(E) is the volume of E. For instance, if ???? is a density function, then ????ave is the average density of E. Find the average value of the function f(x, y, z) = 3x2z + 3y2z over the region enclosed by the paraboloid z = 4 − x2 − y2 and the plane z = 0.

Answers

Answer:

The average function [tex]f_{avg}[/tex] value = 4

Step-by-step explanation:

Given that:

[tex]f(x,y,z) = 3x^2z+3y^2z[/tex]

The enclosed region [tex]z = 4 -x^2 -y^2[/tex] and the plane z = 0.

Over an area E, the average value of a function f(x,y,z) is:

[tex]f_{avg} = \dfrac{1}{V_{E}} \iiint_E f(x,y,z) dV ------ (1)[/tex]

where;

[tex]V_E[/tex] = volume of region E

To find the volume use cylindrical coordinates;

[tex]x=rcos \theta; \ \ \ y = rsin \theta; \ \ \ z = z[/tex]

Then;

E = 0 ≤ r ≤2, 0 ≤ θ ≤ 2π, 0 ≤ z ≤ 4 - r²

[tex]V_E = \int^{2 \pi}_{0} \int^{2}_{0} \int^{4-r^2}_{0} \ rdzdrd \theta[/tex]

[tex]V_E = \int^{2 \pi}_{0} \int^{2}_{0} r(4-r^2) \ drd \theta[/tex]

[tex]V_E = \int^{2 \pi}_{0} \int^{2}_{0} (4r-r^3) \ drd \theta[/tex]

[tex]V_E = \int^{2 \pi}_{0} \Big(2r^2- \dfrac{r^4}{4} \Big)^2_0 \ d \theta[/tex]

[tex]V_E = 4(2 \pi)\\\\ V_E = 8 \pi[/tex]

However, from equation (1):

[tex]f_{avg} = \dfrac{1}{V_E} \iiint_E f(x,y,z) \ dV \\ \\ = \dfrac{1}{8 \pi} \iiint_E (3x^2z + 3y^2 z) dV \\ \\ = \dfrac{1}{8 \pi } \int^{2 \pi}_{0} \int^{2 }_{0} \int^{4 - r^2}_{0} \ \ 3zr^2 \ rdzdrd\theta \\ \\ = \dfrac{3}{8 \pi} \int^{2 \pi}_{0} \int^{2 }_{0} \Big(\dfrac{z^2}{2}\Big)^{4-r^2}_{0} \ r^3 drd\theta \\ \\ = \dfrac{3}{16 \pi} \int^{2 \pi}_{0} \int^{2 }_{0} (4-r^2)^2 \ r^3 \ dr d\theta[/tex]

[tex]= \dfrac{3}{16 \pi} \int^{2 \pi}_{0} \int^{2 }_{0} (16-8r^2 + r^4)r^3 \ dr d\theta \\ \\ = \dfrac{3}{16 \pi} \int^{2 \pi}_{0} \int^{2 }_{0} (16r^3 -8r^5 + r^7) \ dr d \theta \\ \\ = = \dfrac{3}{16 \pi} \int^{2 \pi}_{0} \Big (4r^4 - \dfrac{8}{6}r^6 + \dfrac{r^8}{8} \Big)^2_0 \ d \theta \\ \\ = \dfrac{3}{16 \pi } (2 \pi) \Big (64 - \dfrac{8}{6} \times 64 \times \dfrac{256}{8} \Big) \\ \\ = \dfrac{3}{16 \pi} (2 \pi) (\dfrac{32}{3}) \\ \\ = 4[/tex]

Select all numbers that have an absolute value of 4.

Answers

Answer: 4 and -4

Step-by-step explanation: There isn't an actual explanation I can give for this answer, it is based on technical meaning.

Answer: 4 & -4

Absolute (denoted by the vertical bars) means that everything between them is converted to non-negative. So |−4|=4 and so is |4|=4 .

Step-by-step explanation:

Each of the 8 cats in a pet store was weighed. Here are their weights (in pounds):
6, 16, 15, 10, 9, 9, 7, 11
Find the mean and median weight of these cats.
If necessary, round your answers to to the nearest tenth

Answers

Answer:

mean: 10.4

median: 9.5

Step-by-step explanation:

determine whether you can construct many one or no triangles with the given measures​

Answers

Answer:

u cant create any triangles because you have said that there are  three 45° angles

which is 45°, 45°, 45°

⇒ 135°

135≠180

every triangle is 180°

therefore no triangle

MARK ME BRAINLIEST

A family decides to put tiles in the entryway of their home. The entryway has an area of 7 square meters. If each tile is 5 centimeters by 5 centimeters, how many tiles will it take to cover the entryway?

It will take ______ tiles to cover the entryway.​

Answers

9514 1404 393

Answer:

  2800 tiles

Step-by-step explanation:

Each tile has an area of (0.05 m)² = 0.0025 m². Then the number of tiles required to cover 7 square meters is ...

  (7 m²)/(0.0025 m²/tile) = 2800 tiles

It will take 2800 tiles to cover the entryway.

I don’t get this question and need help. please hell

Answers

Answer

B

Explanation

Because it has the same shot and long side

The hypotenuse of a right triangle is 12.4 ft. One of the other two sides is 5.8 ft How
long is the third side?

Answers

Use Pythagorean theorem
a^2 + b^2 = c^2
Hypothenuse = 12.4
Let’s assume a = 5.8
Plug into the equation
5.8^2 + b^2 = 12.4^2
33.64 + b^2 = 153.76
b^2 = 120.12
b = square root of 120.12
10.9599270071 (calculator used)

Solution: around 11 ft



The function f(x) models the value of imported goods into the United States, and the function g(x) models the value of exported

goods from the United States, where x is the number of years since 1990.


Which statements are correct?

A) g(x) appears to be a linear function

B) f(x) appears to be an exponential function


C)Exports increase more quickly around the year 2041


D) Exports eventually exceed imports from the united States


E) A quantity increasing exponentially eventually exceeds a quantity

increasing linearly

Answers

Answer:

C, D, E

Step-by-step explanation:

I did the USATESTPREP

Amy buys 22 envelopes for 13p each and pays with a £5 note.
How much change does she get?
Give your answer in pounds, £.​

Answers

hi there lol have a great day

Which expressions are equivalent?

1/5k-2/3j and -2/3j+1/5k

1/5k-2/3j and -1/5k+2/3j

1/5k-2/3j and 1/5j-2/3k

1/5k-2/3j and 2/3j-1/5k
please help!!!!!

Answers

The answer is 1/5k-2/3j and -2/3j+1/5k because it has the same values just rearranged.

Elijah's uncle gave him $300 to spend on baseball equipment. He bought a pair of cleats for $69.99, two baseball jerseys for $32.99 each, a new glove for
$79.99 and two pair of socks for $6.99 each. Without including tax, to the nearest dollar, how much money did Elijah have left?

Answers

9514 1404 393

Answer:

  $70

Step-by-step explanation:

The amount Elijah has remaining is ...

  $300 -(70 +2×33 +80 +2×7) = $300 -(70 +80 +2(33 +7)) = $300 -230 = $70

To the nearest dollar, Elijah has $70 left.

_____

Each amount is within a penny of the nearest dollar, so we can simply use the nearest dollar amounts for the prices. In order for the answer to be different, Elijah would have to purchase 50 or more items with this pricing (something.99).

Use the Quadratic Formula to solve the equation x^2-15=2x

Answers

Answer:

x= -3

y= 5

Explanation:

Move the 2x to the left by subtracting it by itself

you should get x^2 -15 - 2x =0

That's it in standard form

What is the height of the ball after 5 seconds in feet?

Answers

It’s 32 feet. Just aligned the heigh of the ball from 5 seconds.

Answer:32

Step-by-step explanation:

i think the answer will be 32 feet

A triangle is shown
A
(2х - 10)
B
(3x)
(4х + 46),
с
Part A: What is the value of x, in degrees?
13.8
ОООО

Answers

Answer:

x = 16

Step-by-step explanation:

First add all of your angles together to get:

9x + 36

Then set that equal to 180:

9x + 36 = 180

Now solve Algebraically:

Subtract 36 from both sides:

9x = 144

Then divide by 9:

x = 16

The reason I set it to 180 is because we know that all triangles angles equal up to be 180° no matter what.

3. The rectangle below has an area of 297 in. Find the length of the diagonal.
14
27 in.
odhad.

Answers

9514 1404 393

Answer:

  29.15 in

Step-by-step explanation:

The area of a rectangle is given by the formula ...

  A = LW

Filling in the given information, we can find the missing side length.

  297 in² = (27 in)h

  h = (297 in²)/(27 in) = 11 in

The length of the diagonal can be found from the Pythagorean theorem.

  d² = 27² + 11² = 729 +121 = 850

  d = √850 = 5√34 ≈ 29.15476

The length of the diagonal is about 29.15 inches.

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