Answer:
94°
Step-by-step explanation:
Remember that the sum of the interior angles of a triangle is 180°. To do it the easier (but longer) way, simply do the following. Add all the interior angles up, and subtract it from 180 to get the angle you do not know, and then solve for angle 1:
180 = (29 + 65 + m∠2)
= 180 - 94 = m∠2
= m∠2 = 86°
Next, note that ∠1 & ∠2 are directly next to each other. When this occurs, solve for their supplementary angle. We know that m∠2 = 86°. Supplementary Angle = 180°:
180 - 86 = 94°
m∠1 = 94°.
The simpler way to solve this, is to first note that it is a triangle. To solve for the outlier angle, simply add the two opposite angles together to get your answer:
m∠1 = 29 + 65
m∠1 = 94°.
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Answer:36
Step-by-step explanation:
for every 7 students there are 4 girls, so for every 84 there must be 48
7*12=84
4*12=48
so, in all 84 students there are 48 girls
so amount of boys=84-48=36
there are 36 boys
33.51 X 85% (0.85) = 28.48
I'll just help quickly with a couple of expressions that are equivalent.
3(m+5+9m)
If you solve it out, you get 3m+15+27m.
Simply the expression to get 30m+15.
You can regroup to make another expression 5(6m+3) which is also equal.
In this section we are going to see how knowledge of some fairly simple graphs can help us graph some more complicated graphs. Collectively the methods we’re going to be looking at in this section are called transformations.
Vertical Shifts
The first transformation we’ll look at is a vertical shift.
