X = 7. Because both lines equal the same so it has to equal 75
11 x 7 = 77
77-2 = 75
X = 7
<span>x + 3y = 9
-x + y = -1
X = 3
Y = 2
</span>
Answer:
B. m<B = 65°; m<C = 115°
Step-by-step explanation:
First find the value of x:
3n + 20 = 6n - 25 (opposite bangles if a parallelogram are equal)
Collect like terms
3n - 6n = -20 - 25
-3n = -45
Divide both sides by -3
n = 15
✔️Find angle B:
m<B = 3n + 20
Plug in the value of n
m<B = 3(15) + 20
m<B = 45 + 20
m<B = 65°
✔️Find angle C:
m<C = 180 - m<B (consecutive angles of a parallelogram are supplementary)
m<C = 180 - 65
m<C = 115°
Answer:
An equation of the line passing through (-2, 3) and perpendicular to the line 5x - y = 12 will be:
Step-by-step explanation:
Given the equation

converting the line into the slope-intercept form y = mx+b, where m is the slope


The slope of the line = m = 5
We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:
Therefore, the slope of new line = – 1/m = -1/5 = -1/5
Using the point-slope form of the line equation

where m is the slope of the line and (x₁, y₁) is the point
substituting the slope of new line = -1/5 and (-2, 3)



Add 3 to both sides


Therefore, an equation of the line passing through (-2, 3) and perpendicular to the line 5x - y = 12 will be:
Answer:
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Step-by-step explanation: