Two similar polygons are shown below. Find the value of x and y.

Answer:

[tex]x = 7 \sqrt{2} [/tex]

Step-by-step explanation:

[tex]sinθ = \frac{opp}{hyp} [/tex]

[tex]sin45° = \frac{7}{x} [/tex]

[tex] \frac{ \sqrt{2} }{2} = \frac{7}{x} [/tex]

Cross multiply:

[tex]( \sqrt{2} )(x) = 7(2)[/tex]

[tex]x = \frac{14}{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } [/tex]

[tex]x = \frac{14 \sqrt{2} }{2} [/tex]

[tex]x = 7 \sqrt{2} [/tex]

Answer:

I think the answer would be point P , first one . ♡

Answer:

7

Step-by-step explanation:

because 56 divided by 8 = 7

or 7 x 8 = 56

hope this helps?

if its right can i have brainlist?

:')?

Answer:

You can buy 7 tickets

Step-by-step explanation:

56 devided by 8 is 7

Answer:

k = 2c/r

Step-by-step explanation:

[tex]c=\frac{1}{2}kr\\\text{Multiply by 2.}\\2c=kr\\\text{Divide by r}\\\frac{2c}{r}=k\\\text{Rearrange.}\\k=\frac{2c}{r}[/tex]

Step-by-step explanation:

[tex]5x - 3 \times 7x + 10[/tex]

Answer:

35x² + 29x - 30

Step-by-step explanation:

Given

25x² + (5x - 3)(2x + 7) - 9 ← expand factors using FOIL

= 25x² + 10x² + 29x - 21 - 9 ← collect like terms

= 35x² + 29x - 30

Answer:

7

Step-by-step explanation:

Substitute in numbers : 2(5)+3(6) /4

Combine Like Terms : 10+18/4 = 28/4

Answer : 7

Answer:

-2

Step-by-step explanation:

Answer:

-2 the other person is also definitely right.

A..

NOT YOU COMMENTING ON POST JUST TO GET POINTS....

Answer:

A.) nine tenths 9/10

Step-by-step explanation:

So if you pronounce 0.9 as it's supposed to be in word form, it's nine tenths, or 9/10

hope this helps:)

Answer:

C

Step-by-step explanation:

6p3 + 8p2 - 6p + 21p2 +28p -21

6p3 + 29p2 + 22p - 21

Answer:

45 degrees

Step-by-step explanation:

Each triangle in the figure is at a 45 degree angle to the next one, telling us that if you rotate the entire thing by 45 degrees, it will flip.

Answer:

B. 45 degrees

Step-by-step explanation:

The questions is asking us to find the minimun degrees needed to rotate the shape so that it maps itslef, which is just basically asking us to roate the shape so that it looks the same as it is now. That means that we need to rotate the shape so that another one of those traingles is pointing up. There are 8 of those traingle, and there is 360 degrees in a circle. So divide 360 degrees by 8, and we find that there is 45 degrees inbetween each of the triangles. So if we rotate it by 45 degrees the next traingle will be pointing up and the shape will have mapped itself.

Answer:

8y+9

Step-by-step explanation:

Answer:

6y + 44

Step-by-step explanation:

y + 4 + 5(y + 8)

y + 4 + 5y + 40

6y + 44

Answer:

x= -1

Step-by-step explanation:

p= x² +4x -2 -----(1)

q= 2x -1 ------(2)

q -p= 2 -----(3)

Substitute (1) and (2) into (3):

2x -1 -(x² +4x -2)= 2

2x -1 -x² -4x +2= 2 (Expand bracket)

-x² -2x +1=2 (Simplify)

x² +2x +2 -1= 0 (Bring all terms to one side)

x² +2x +1= 0

(x +1)²= 0 (Factorise)

x +1= 0 (Square root both sides)

x= -1 (-1 on both sides)

Answer:

≈ 29°

Step-by-step explanation:

Using calculator

[tex]cos^{-1}[/tex] [tex]\frac{7}{8}[/tex] ≈ 29° ( to the nearest degree )

Answer:

This is a triangle prism

Step-by-step explanation:

It definitely can't be rectangle, parallelogram, or trapezoid

Answer:

0.20

Step-by-step explanation:

Since the rest of the choices are greater then 22

Step-by-step explanation:

If there are two straight lines the opposite angles equal each other

so 4x+2=150

subtract both sides by 2

4x=148

divide both sides by 4

x=37

Hope that helps :)

Answer:

The reasonable prediction for successful rolls is 4.

Step-by-step explanation:

Assuming the rolling cube  is a fair 6 sided cube, so the probability of success of one roll is given as

[tex]P(Success)=\dfrac{Number\ of\ successful\ events}{Number\ of\ total\ events}[/tex]

[tex]P(Success)=\dfrac{1}{6}[/tex]

The total success is given as

[tex]P(Total\ Success)=P(Success)\times Number\ of\ events[/tex]

For 24 rolls it is given as

[tex]P(Total\ Success)=P(Success)\times Number\ of\ events\\P(Total\ Success)=\dfrac{1}{6}\times 24\\P(Total\ Success)=4[/tex]

So the reasonable prediction for successful rolls is 4.

Answer:

Answer:

In my country it's 6:30am

Sorry

Answer:

The length of the park is approximately 1.77 kilometers

Step-by-step explanation:

The law of cosines is most appropriate when the measures of two sides and the included angle formed n=by the path of motion is known

The given parameters of the question are;

The distance from Mark's house to the edge of the park, a = 0.9 km

The distance from the far side of the park to Mark's house, c = 1.6 km

Whereby the included angle between lines, 'a' and 'c' is the ∠B = 85°, by cosine rule, we have;

b² = a² + c² - 2·a·c·cos(B)

Where;

b = The length of the park in kilometers

By plugging in the known values of 'a', 'b', and 'c', we get;

b² = 0.9² + 1.6² - 2 × 0.9 × 1.6 × cos(85°) ≈ 3.11899146089

∴ b = √(3.11899146089) ≈ 1.76606666377

Therefore, the length of the park, b ≈ 1.77 km.

Answer:

113.14 is the answer use circle formula

Answer:

C

Step-by-step explanation:

I did this by graphing the points on paper and then forming an equation from there. Another way is to do to slope equation. The slope equation is: [tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex], so you would just fill it in here. (4+4) (I did PLUS since subtracting a negative is adding a postive number). This equals 8. (0-2) is -2, so 8/-2 is -4x. For the y-intercept, it is already shown in the equation. This is 4 because if x is 0, then that is the y-intercept. So: y=-4x+4.

Answer:

x = 22°

the angles are: 63° and 117°

Step-by-step explanation:

a linear pair of angles total together to be 180°

so:

3x - 3 + 5x + 7 = 180

combune like terms:

8x = 176

divide both sides of the equation by 8:

x = 22°

the angles are: 63° and 117°

Answer:

f(x) - g(x) = 3x - 5

Step-by-step explanation:

Hi,

To subtract f(x) and g(x), we need to do (5x - 2) - (2x + 3). We solve and we get 3x - 5. So, f(x) - g(x) = 3x - 5.

The second answer choice is correct.

I hope this helps :)

Answer:

336 ft^2

Step-by-step explanation:

All you have to do is find the area of each face, and add them up.

Firstly lets starts with the identical triangles.

There are two of them, and the area of a triangle is b*h/2

So the area is 6*8/2 , which is 24, and since their are two of them, we add another 24, and we get 48 so far.

Since all the other sides are rectangles, we can just multiply the given lengths and add them up.

So, we have

12x10, which is 120,

12x8, which is 96, and

12x6, which is 72.

Now add all of them up.

48+120+96+72 which is 336

Your answer is 336 ft^2

Answer:

I don't have a grid with me but look at it this way. if you look at the first set of points look at where they are starting. and. then look at the second set of points. see if the points plotted bend over the x axis or the y axis:)

Answer:

60

Step-by-step explanation:

In one week, Jasmine swims on Monday, Tuesday, Wednesday, Thursday, and Friday. Meaning she swims 5 days a week. If she swims 12 laps on all 5 days, then she swims a total of 60 laps.

Answer:

6.1-10.3

Step-by-step explanation:

Multiply standard deviation times 3 = 2.1

Subtract and add to mean.