Answer:
16x-20
Step-by-step explanation:
(8x-30)+6x+(2x+10)
8x-30+6x+2x+10
8x+6x+2x-30+10
14x+2x-20
16x-20
<u>→ Chapter : Linear Equation of Two Variables ←</u>
<em><u>≡ We know that:</u></em>
↔ y = 4x + 6
⇔ 3x + y = 41
↔ y = 41 - 3x
<u><em>≡ Solution:</em></u>
<em>⇔ First, find the value of x:</em>
⇒ y = y
⇒ 4x + 6 = 41 - 3x
⇒ 4x + 3x = 41 - 6
⇒ 7x = 35
<u>⇒ x = 5</u>
<em>⇔ Then, find the value of y:</em>
⇒ y = 4x + 6
⇒ y = 4(5) + 6
⇒ y = 20 + 6
<u>⇒ y = 26</u>
<em>∴ So, the solution of that equation is (5, 26)</em>
Answer:
2/7
Step-by-step explanation:
Since multiplication fractions is just multiplying all numerators together and all denominators together, we can group all these fractions together into one big fraction as they are all being multiplied together:
(2x3x4x5x6x)/(3x4x5x6x7)
Because each term is being multiplied together, if it also appears in the denominator, they will cancel each other out (as x multiplied by y and then divided by y is just x as the ys cancel each other out)
Therefore we are just left with 2/7.
Hope this helped!
Answer:
angle X = 136 degrees
Step-by-step explanation:
Given XYZW is a trapezoid means XY || WZ.
Given XW ≅ YZ means that base angles are equal
=>
XWZ = YZW = 44
Since interior angles between parallel lines are supplementary,
angle X = YXW = 180-XWZ = 180-YZW = 180-angle Z = 180-44 = 136 degrees
The slope of the line is 1. Take two points, (-1,0) and (0,1) and use y2-y1/x2-x1 to find the slope. 1-0/0+1= 1/1 = 1.