Write an equation for the translation of y=|x|

Please help! I think I have the equation set up.

ExtremeBDS [4]

$\bold{\huge{\underline{ Solution }}}$

<h3>Given :-</h3>

Here, we have given one quadrilateral that is quadrilateral ABCD
We also have given the angles of quadrilateral that is ( 6x + 5)° , ( 9x - 10)° , 80° and a right angle

Here, we have to find the value of x

<h3>Let's Begin :- </h3>

We have given quadrilateral ABCD here , whose angles are as follows

Angle A = ( 6x + 5)°
Angle B = ( 9x - 10)°
Angle C = 80°
Angle D = A right angled triangle

[ The measure of right angled triangle is 90° ]

We know that, 

Sum of the angles of quadrilateral is equal to 360°

That is 

$\bold{\angle{ A + }}{\bold{\angle{B +}}}{\bold{\angle{C + }}}{\bold{\angle{D + = 360{\degree}}}}$

Subsitute the required values 

$\sf{ ( 6x + 5){\degree} + 80{\degree}+ 90{\degree} + (9x - 10){\degree} = 360{\degree}}$

$\sf{ 6x + 5 + 170{\degree} + 9x - 10 = 360{\degree}}$

$\sf{ 15x - 5 = 360{\degree} - 170{\degree}}$

$\sf{ 15x - 5 = 190 {\degree}}$

$\sf{ 15x = 190 {\degree} + 5 }$

$\sf{ 15x = 195 {\degree}}$

$\sf{ x = }{\sf{\dfrac{ 195}{15}}}$

$\sf{ x = }{\sf{\cancel{\dfrac{ 195}{15}}}}$

$\bold{ x = 13 }$

Hence, The value of x is 13 .

$\bold{\huge{\underline{\red{ Verification }}}}$

Measure of Angle A

$\sf{ = (6x + 5){\degree}}$

$\sf{ = (6(13) + 5 ){\degree}}$

$\sf{ = (78 + 5 ){\degree}}$

$\sf{ = 83{\degree}}$

Measure of Angle D

$\sf{ = (9x - 10){\degree}}$

$\sf{ = (9(13) - 10){\degree}}$

$\sf{ = (117 - 10 ){\degree}}$

$\sf{ = 107{\degree}}$

Now, we know that, 

Sum of angles of triangles is equal to 360°

That is, 

$\sf{ 83{\degree} + 80{\degree}+ 90{\degree} + 107 {\degree} = 360{\degree}}$

$\sf{ 163{\degree}+ 90{\degree} + 107 {\degree} = 360{\degree}}$

$\sf{ 253{\degree}+ 107 {\degree} = 360{\degree}}$

$\bold{ 360{\degree} = 360{\degree}}$

$\bold{ LHS = RHS }$

Hence, Proved.

8 0

2 years ago

Two bookstores have the same number of book on sale. The prices of those books are graphed below. Which of the following stateme

nalin [4]

Answer:B

Step-by-step explanation:Most of Bookstore B's books r below $85

7 0

3 years ago

Read 2 more answers

What is the area of the rectangle below? 8 17 O A. 68 sq. units O B. 25 sq. units O C. 136 sq. units O D. 50 sq. units

Snezhnost [94]

Answer:

136 sq units

Step-by-step explanation:

area = length * width

a = 17 * 8

a = 136 sq units

4 0

3 years ago

You have 0.2 liter of an acid solution whose acid concentration is 16 moles per liter. You want to dilute the solution with wate

hram777 [196]

Answer: 0.067 litres of water

Step-by-step explanation:

The mode is:

Concentration of new solution = Moles of acid in original solution / (Volume of original solution + Volume of water added)

Assume volume of water added is w.

12 = 16 (0.2) / (0.2 + w)

(0.2 + w) * 12 = 3.2

0.2 + w = 3.2 / 12

w = (3.2 / 12) - 0.2

w = 0.067 litres of water

3 0

3 years ago

Read 2 more answers

Add using the number line. −0.5 + (−1.7)

Rudik [331]

Answer:

- 0.5 - 1.7 = - 2.2

Step-by-step explanation:

We need to add two numbers using the number line.

Steps to Add Numbers on the Number Line:

When we add a negative numbers that we move the point to the left of the number line.

We are adding two negative numbers. Locate the first number which is -0.5. Then, add negative 1.7 to it which means moving the existing point 1.7 units to the left of the number line.

So, we get 2.2 on the left.

2.2 is left side it means sign is negative.

Final answer is -2.2

3 0

3 years ago