Answer:
m∠1=114
m∠2=66
Step-by-step explanation:
First, let's find the m∠2
∠2 is inside a triangle, and the angles in a triangle must add to 180 degrees.
So,
55+59+∠2=180
Add 55 and 59
114+∠2=180
We are trying to find ∠2, so we have to get it by itself.
114 is being added on to ∠2. To undo this, subtract 114 from both sides.
114-114+∠2=180-114
∠2=66
Now we know the m∠2, but we still have to find m∠1.
∠2 and ∠1 are on a straight line. This means they are supplementary angles and add to 180 degrees.
∠1+∠2=180
We know that ∠2 is 66, so we can substitute it in.
∠1+66=180
66 is being added onto ∠1. To undo this, subtract 66 from both sides.
∠1+66-66=180-66
∠1=114
Answer:
Tyler's height in centimeters is, 144.78 centimeters.
Step-by-step explanation:
Given the statement: Tyler's height is 57 inches.
To find his height in centimeters.
Using the conversion:
Proportion states that the two ratios or fraction are equal.
Using proportion method:
By cross multiply, we get
centimeters.
therefore, his height in centimeter is, 144.78 inches.
Answer:
(5,-3) , (10, -2), (7,-8)
Step-by-step explanation:
The new triangle will be
(5,-3) , (10, -2), (7,-8) by mapping
(x,y) => (x +3, y-5)
<span>√x^2+2x-10=√x+20
raising both members to the square
</span> x^2+2x-10=x+20
rewriting
x^2+x-30=0
factoring
(x+6)(x-5)=0
therefore the solutions are
<span> x = –6, x = 5
</span>the answer is
<span>B. x = –6, x = 5</span>
