40xa^2 + 24 ax + 32 a =
all you have to do is factor out a 8a from each term
aka reverse distribution property
8a (5 a + 3x + 4)
Answer:
∠LNM = 38°
∠M = 52°
Step-by-step explanation:
Here, ∠M = x
Let the measure of ∠LNM = ∠1
Now, ∠PNM + ∠1 = 180° (LINEAR PAIRS)
So, ∠1 = 180° - ∠PNM = 180° - 142°
= 38°
⇒∠1 = 38° , or ∠LNM = 38°
Now, in triangle LMN, by ANGLE SUM PROPERTY of a triangle
∠NLM + ∠X + ∠1 = 180°
or, 90° + x + 38° = 180°
⇒ x = 180° - 128° = 52°
Hence, the measure of x = 52° , or ∠M = 52°
Answer:
We conclude that eighty percent of bike tires last at most 14.4 months.
Step-by-step explanation:
We know that a pair of bike tires can last 18 months if used every day.
We calculate how much eighty percent of the tire will last in months.
We have the following proportion:
We conclude that eighty percent of bike tires last at most 14.4 months.
Answer:
y = ⅔x - 5
Step-by-step explanation:
The line that is parallel to 2x - 3y = 24, would have the same slope as the line, 2x - 3y = 24.
Rewrite;
2x - 3y = 24
-3y = -2x + 24
Divide both sides by -3
y = ⅔x - 8
Thus, the slope of 2x - 3y = 24 is ⅔.
Therefore the line that is parallel to 2x - 3y = 24, will have a slope (m) of ⅔.
Using point-slope form, we can generate an equation that passes through (-3, -7) and is parallel to 2x - 3y = 24.
Thus, substitute (a, b) = (-3, -7) and m = ⅔ into y - b = m(x - a)
Therefore:
y - (-7) = ⅔(x - (-3))
y + 7 = ⅔(x + 3)
Rewrite in slope-intercept form.
Multiply both sides by 3
3(y + 7) = 2(x + 3)
3y + 21 = 2x + 6
3y = 2x + 6 - 21
3y = 2x - 15
Divide both sides by 3
y = ⅔x - 5