Answer:
x = 71
Step-by-step explanation:
The sum of the measures of the exterior angles of a polygon is always 360°.
A triangle has 3 exterior angles.
152+ 137+x = 360
Combine like terms
289 +x = 360
Subtract 289 from each side
289-289+x=360-289
x = 71
Answer:
68 farinheit
Step-by-step explanation:
A(-3, -1); B(2, -1), C(2, 3)
You can read the length of AB and BC.
|AB| = 5
|BC| = 4
Use the Pythagorean theorem:
The perimeter:
Since we have two possible pieces of information and 2 items to solve for, we know this is a system of equations.
Our first piece of information is that our shorter leg (s) is 2 feet shorter than our longer leg (l). This can be written as s=l-2.
Our second piece of information is that using the Pythagorean theorem that our shorter leg squared plus our longer leg squared is equal to our hypotenuse squared. This can be represented by s^2+l^2=10^2. Now we can solve.
We have already isolated for s in our first equation, so we can substitute l-2 in.
(l-2)^2+l^2=10^2
l-2+l=10
2l-2=10
2l=12
l=6
Now we can substitute in for s in our simpler equation
s=6-2
s=4
We now know that using our knowledge of systems of equations, the side lengths of this right angle triangle are 6 and 4.
Answer:m+3
Step-by-step explanation:
