In an isosceles triangle, the base angles are congruent. The third angle is called the vertex angle.
Here, the vertex angle is <A.
Therefore, m<C = m<B.
m<A = 3m<B + 20
m<A + m<B + m<C = 180
3m<B + 20 + m<B + m<B = 180
5m<B + 20 = 180
5m<B = 160
m<B = 32
m<C = m<B = 32
Answer: m<C = 32 deg
Answer:
11(4h-3)
Step-by-step explanation:
The greatest known common factor of 44h and 33 is 11. So using the distributive property, I got 11(4h-3)
Answer:
the answer is 5 because 40 divided by 8 is 5
Answer:
Step-by-step explanation:
Triangle P is mapped onto Q so P is the initial triangle that will transformed.
We can rotate counterclockwise 90° but we cannot do it about the origin (0,0) because the red point (5, 1) will end up at ( -1, 5) .
We see that the point (5, 1) ends up at ( -2, 4) so the center of rotation is lower than the origin.
The transformation is rotation of 90° about the point (0,-1)
Answer:
4.5 miles per hour is her rate in miles per hour
Step-by-step explanation:
We want to convert 20 ft per second to miles per hour
If she jogs 20 ft in 3 seconds , then in one second , she will jog 20/3 ft
So convert 20/3 ft/second to miles per hour
Mathematically;
1 mile = 5280 feet
So one feet = 1/5280 mile
1 hour = 3600 seconds
1 second = 1/3600 hour
So, to go from miles/hour to ft/second ; we shall multiply by 1/5280 and divide by 1/3600
Hence; we have;
(20/3 * 1/5280)/1/3600
= 20/3 * 1/5280 * 3600/1
= 4.4545 which is 4.5 miles per hour
