The following triangles are congruent by SAS. How did we know that

5(y-4)=7(2y+1) I need the answer

8_murik_8 [283]

Answer: $y = -3$

Move all terms containing y to the left, all other terms to the right

Add -14y to each side of the equation

$-20 + 5y + -14y = 7 + 14y + -14y$

Combine like terms: 5y + -14y = -9y

$-20 + -9y = 7 + 14y + -14y$

Combine like terms: 14y + -14y = 0

$-20 + -9y = 7 + 0\\-20 + -9y = 7$

Add '20' to each side of the equation

$-20 + 20 + -9y = 7 + 20$

Combine like terms: -20 + 20 = 0

$0 + -9y = 7 + 20\\-9y = 7 + 20$

Combine like terms: 7 + 20 = 27

$-9y = 27$

Divide each side by -9

$-9y/9=27/-9\\y=-3$

8 0

3 years ago

The table represents the average daily price of a two-bedroom beachfront condo each month, with January represented as month 1,

ruslelena [56]

Answer:

y = - 9.1768x2 + 122.2567x + 14.9091

Step-by-step explanation:

Given the following :

Month (x) Daily Rental Price (y) 1 $154 2 $205 3 $266 4 $358 5 $403 6 $425 7 $437 8 $430 9 $381 10 $285 11 $211 12 $195

Using the online regression equation graphing tool ; The quadratic model obtained in the form,

y = Ax^2 + Bx + C is :

y = - 9.1768x2 + 122.2567x + 14.9091

Attached below is a picture of the quadratic regression curve.

7 0

3 years ago

What are three powers that have values greater than 500 and less than 550

igomit [66]

Solution:

The three powers whose value is greater than 500 and less than 550 can be find by following procedure.

We will solve this problem by Hit and trial method by finding the squares, cubes, fourth power, Fifth Power,...etc. of different natural numbers.

23²= 529

8³ = 8 × 8 × 8 =512

$2^8=512$

The three powers are →→→Eighth power of 2, Square of 23, and Cube of 8.

8 0

3 years ago

Read 2 more answers

A bus averages 4 miles per hour faster than a motorcycle. If the bus travels 180 miles in the same time it takes the motorcycle

klemol [59]

Can u send me a picture of the question instead please because i dont understand what ur trying to ask..

3 0

3 years ago

Read 2 more answers

Its for science but its got math involved its got to do with speed distance and time

KIM [24]

distance:1, 1, 1.3, 1.5, 2, 2.3, 2.5, 3 ,3.2, 4

time. :1, 2, 3 , 4 , 5 , 6 , 7 , 8 ,. 9 ,10

distance:1.5, 2, 3.2, 4.2, 5, 6, 7, 8

time. : 1 , 2, 3 , 4. , 5, 6, 7, 8

<h3>at 5 seconds which travelled the greatest distance : snail 2</h3>

<h3>which travelled a greater distance:snail 2</h3>

<h3>what is the speed of snail 1 at 8 second :</h3>

distance = 3. Time = 8

speed = distance

time

speed = 8

3

speed =2.66

approximately = 2.7. or 3

7 0

3 years ago