Answer: B
Step-by-step explanation:
Step-by-step explanation:
given
![y = 3x + 4](https://tex.z-dn.net/?f=y%20%3D%203x%20%2B%204)
![y(2) = 3(2) + 4 \\ = 6 + 4 = 10](https://tex.z-dn.net/?f=y%282%29%20%3D%203%282%29%20%2B%204%20%5C%5C%20%20%3D%206%20%2B%204%20%3D%2010)
<em>5</em><em>X</em><em>+</em><em>1</em><em>3</em><em>+</em><em>X</em><em>+</em><em>5</em><em>=</em><em>9</em><em>0</em><em>°</em><em>(</em><em>SUM</em><em> </em><em>OF</em><em> </em><em>COMPLEMENTRY</em><em> </em><em>ANGLE</em><em> </em><em>IS</em><em> </em><em>EQUAL</em><em> </em><em>TO</em><em> </em><em>9</em><em>0</em><em>°</em><em>)</em>
<em>6</em><em>+</em><em>1</em><em>8</em><em>=</em><em>9</em><em>0</em><em>°</em>
<em>6</em><em>X</em><em>=</em><em>9</em><em>0</em><em>°</em><em>-</em><em>1</em><em>8</em><em>°</em>
<em>X</em><em>=</em><em>7</em><em>2</em><em>°</em><em>/</em><em>6</em>
<em>X</em><em>=</em><em>1</em><em>2</em><em> </em><em>°</em><em>ANSWER</em>
Option B:
is the value of y
Explanation:
It is given that "Two times x is 8 more than y". Writing it as expression, we have,
![2x=8+y](https://tex.z-dn.net/?f=2x%3D8%2By)
It is also given that "The sum of x and two times y is 14". Writing it as expression, we have,
![x+2y=14](https://tex.z-dn.net/?f=x%2B2y%3D14)
To find the value of y, let us solve the two equations using substitution method.
From the equation
, let us find the value of x.
![x=\frac{8+y}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B8%2By%7D%7B2%7D)
![x=\frac{8}{2} +\frac{y}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B8%7D%7B2%7D%20%2B%5Cfrac%7By%7D%7B2%7D)
![x=4+\frac{y}{2}](https://tex.z-dn.net/?f=x%3D4%2B%5Cfrac%7By%7D%7B2%7D)
Now, substituting
in the equation
, we get,
![4+\frac{y}{2}+2y=14](https://tex.z-dn.net/?f=4%2B%5Cfrac%7By%7D%7B2%7D%2B2y%3D14)
![4+\frac{5y}{2} =14](https://tex.z-dn.net/?f=4%2B%5Cfrac%7B5y%7D%7B2%7D%20%3D14)
![$\frac{5 y}{2}=10$](https://tex.z-dn.net/?f=%24%5Cfrac%7B5%20y%7D%7B2%7D%3D10%24)
![5y=20](https://tex.z-dn.net/?f=5y%3D20)
![$y=4$](https://tex.z-dn.net/?f=%24y%3D4%24)
Thus, the value of y is ![$y=4$](https://tex.z-dn.net/?f=%24y%3D4%24)
Answer: segment rq
<u>Explanation:</u>
Segments are named by their endpoints. You can start/end with either endpoint. So, qr can also be called rq.