At a park, the cost to rent a bike has an initial fee of $15.00 plus $7.50 per hour. Which equation models the relationship between total cost, y, and the number of hours, x, that the bike is rented?

ΔHKJ and ΔLNP are similar triangle due to equal pair of corresponding angles .

Similar triangles are defined as two triangles with the same shape, equal pair of corresponding angles, and the same ratio of the corresponding sides.

Given,

m∠H = 30°

m∠J=50°

m∠P=50°

m∠N=100°

In triangle ΔHKJ

m∠H = 30°

m∠J=50°

m∠K= 180°- (m∠H+m∠J) = 180°-(30°+50°)

m∠K= 100°

In ΔHKJ and ΔLNP,

m∠J = m∠P= 50°

m∠K= m∠N= 100°

According to Angle-Angle (AA) rule, two triangles are said to be similar if two angles in one particular triangle are equal to two angles of another triangle.

Thus, ΔHKJ and ΔLNP are similar triangle due to equal pair of corresponding angles.

Hence, ΔHKJ ~ ΔLNP

learn more about similar triangle

https://brainly.com/question/25882965

Answer:

Slope of 4 is way steeper that 1/3 but they are both positive slopes.

Step-by-step explanation:

Hope this helps. Pls give brainliest.

Answer:

c. 14

Step-by-step explanation:

Let the missing y value be y2.

If the data represent a linear function, then:

[tex] \frac{6 - 2}{2 - 1} = \frac{y_2 - 6}{4 - 2} [/tex]

[tex] \frac{4}{1} = \frac{y_2 - 6}{2} [/tex]

[tex] 4 = \frac{y_2 - 6}{2} [/tex]

Multiply both sides by 2

[tex] 4 \times 2 = \frac{y_2 - 6}{2} \times 2 [/tex]

[tex] 8 = y_2 - 6 [/tex]

Add 6 to both sides

[tex] 8 + 6 = y_2 - 6 + 6 [/tex]

[tex] 14 = y_2 [/tex]

The missing value is 14

[tex]\left[\begin{array}{ccc}0&-1\\-3&1\end{array}\right][/tex]

-y

-2x + y

- y determinant

__________________________________________________________

[tex]\left[\begin{array}{ccc}2&0\\1&-3\end{array}\right][/tex]

2x

x-3y

- x determinant

__________________________________________________________

[tex]\left[\begin{array}{ccc}2&-1\\1&1\end{array}\right][/tex]

2x -y

x + y

-system determinant

Answer: 6[tex]\sqrt{2}[/tex]

Step-by-step explanation: Because the angles are the same, 45 and 45 the other leg of the triangle is also 6.

From there we can use the Pythagorean Theorum to solve for x

6^2+6^2 = 72

so x is [tex]\sqrt{72}[/tex]

which simplifies to 6[tex]\sqrt{2}[/tex]

Answer:

6 rt 2

Step-by-step explanation:

you can use pythagorean theorem (a^2+b^2=c^2)

or since this is a 45, 45, 90 triangle the 2 equivalant sides are equal to each other and the hypotenues is also the legnth of the 2 sides times rt 2

Answer: (2,2)

Step-by-step explanation: If u graph, its gonna be in the middle of both points. Hope this helps :) Easy math

Answer:

Simple the area is 88

Step-by-step explanation:

Answer:

The Volume is equal to 2x^3-3x^2+2x-3

Step-by-step explanation:

Formula for the volume of a rectangular prism is V=WHL

We know that:

W=x-1

L=x+1

H=2x-3

So, V= (x-1)(x-1)(2x-3)

Simplify

(x^2+1)(2x-3)

2x^3-3x^2+2x-3

Answer:

Answer given in the photo

Answer:

D 35

Step-by-step explanation:

Just added them together

Step-by-step explanation:

A is the answer bsbdbxbxb

Answer:

29 miles per hour

Step-by-step explanation:

PLZ MARK BRAINLIEST

Answer:

The terminal point is (1, 0) ⇒ D

Step-by-step explanation:

In the unit circle, Ф is the angle between the terminal side and the positive part of the x-xis

In a unit circle

∵ Ф = 2π radians

→ By using the 1st rule above

∴ The terminal point is (1, 0)

Answer:

(1,0)

Step-by-step explanation:

Answer:

80, 20 suvs in 45 vehicles, 45 is 1/4 of 180, so just multiply 20 times 4 and the answer you get is 80

Answer:

The answer is 200.

Step-by-step explanation:

The steps are :

[tex] \sqrt[3]{8 \times {10}^{6} } [/tex]

[tex] = \sqrt[3]{8} \times \sqrt[3]{ {10}^{6} } [/tex]

[tex] = {8}^{ \frac{1}{3} } \times {10}^{(6 \times \frac{1}{3} )} [/tex]

[tex] = 2 \times {10}^{2} [/tex]

[tex] = 200[/tex]

Answer:

y=7/9x + 8

Step-by-step explanation:

i just used desmos to find it

Answer:

22 m/s

Step-by-step explanation:

We know the car travels 374 m in 17 seconds, so to find out how far it travels in 1 second, divide 374 m by 17 seconds:

unit rate in m/s = 374 m / 17 s = 22 m/s

Answer:

Kian's method is correct.

Step-by-step explanation:

Javine says, "To multiply by 1000, I just add three zeros." He is incorrect.

Kian says, "I times by 10, then times by 10 and times by 10 again. When he multiply 1 by 10, it becomes 10. Then if he again multiply by 10, it becomes 10×10 = 100. And at last when he multiply again 10, it becomes 100×10 = 1000. It means Kian's methods for multiplying by 1000 is correct.

Answer:

y=(-5/3x)+5

Step-by-step explanation:

so you want to isolate the variable of y.

5x+3y=15

5x+3y-5x=15-5x

3y=-5x+15

3y/3=(-5x+15)/3

y=(-5/3x)+5

i am in algebra two so you can trust my answer. if you need more help, lmk in the comments. happy holidays and stay safe!

Answer:

I think it’s 5/-12

Step-by-step explanation:

Not sure but steps below

Answer:

9 is the most highest frequency and the third one is the answer

Answer: 15 - C. 16 - B.

Step-by-step explanation: Reverse PEMDAS

Answer:

1) C

2) B (if the answer is x/4=15)

9514 1404 393

Answer:

  sometimes true

Step-by-step explanation:

The equation reduces to ...

  x^y·x^z = z^18

  x^(y+z) = z^18

This is not true in general, but is true for specific cases of x, y, and z. For example,

  4^(7+2) = 2^18 . . . . (x, y, z) = (4, 7, 2)

  4^(7+0) ≠ 0^18 . . . . (x, y, z) = (4, 7, 0)

The equation is sometimes true.

Answer:

a=w/9F

Step-by-step explanation:

First multiply 9a to F to have 2 equations equal each other. Divide 9aF by 9F to get a on it’s own.

Steps clear down below

Answer: Q=1.79

Step-by-step explanation: Move 0.63 to the right and add both numbers then calculate it. So Q=1.79