Step-by-step explanation:
- 90 + (x + 5) + (2x - 2) = 180
- x + 5 + 2x - 2 = 180 - 90
- 3x + 3 = 90
- 3x = 87
- x = 29
The expression of the equation 4(x - 8) + y = 9(x - 2) in slope intercept form is; y = 5x + 14
<h3>How to write an equation in Slope Intercept form?</h3>
We want to express 4(x - 8) + y = 9(x - 2) in slope intercept form of y = mx + b.
Let us expand the equation to get;
4x - 32 + y = 9x - 18
Isolate y to get;
y = 9x - 4x - 18 + 32
y = 5x + 14
Thus;
Slope = 5
y - intercept = 14
x - intercept = -2.8
Read more about Slope Intercept Form at; brainly.com/question/1884491
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There are 16 ounces in one pound. So we do 7 divided by 16 to get our answer.
7 / 16 = 0.4375 ≈ 0.4 lbs
7 oz is approximately 0.4 lbs.
Answer:

Step-by-step explanation:
If we drew an auxiliary line parallel to line
and line
that intersects the vertex of
, we would form three angles, one of them being
The largest of these angles corresponds with the angle marked as
.
The angle on the bottom right corresponds with the angle next to the one marked as
. Therefore, its measure is
.
Since there are
in a circle, we can now write the following equation:
.
The problem statement gives rise to two equations.
w = 30 + p . . . . . w is 30 more than p
w = 5 - p . . . . . .. w is p less than 5
Add these two equations to get
2w = 35
w = 35/2 = 17.5
p = 5 - w = -12.5
The unknown number w is 17.5.
The unknown number p is -12.5.