Answer:
50
Step-by-step explanation:
5/10 = 50/100 as equivalent fractions
Answer:
Step-by-step explanation:
The figure is made up of a rectangle and two semicircles.
We find the area of the rectangle using the formula;
We find the area of one of the semicircles and multiply by 2;
The area of the semicircles
We substitute 
and 
to obtain;
The area of the figure is
To the nearest tenth we have;
The correct answer is A
Let's call the younger student's age A and the older student's age B. The teacher's age will be T.
B = 2A
T = 5B
T+5 = 5(A+5)
Simplify the last equation.
T+5 = 5A+25
T = 5A+20
Now we have two equations solved for T, so we can set them equal to each other.
5B = 5A + 20
We can plug 2A in for B
5(2A) = 5A + 20
10A = 5A + 20
5A = 20
A = 4
To find T, we plug 4 in for A in T = 5A + 20
T = 5(4) + 20
T = 40
The answer is 40 years old.
The two triangles are similar.
The angles of a triangle sum to 180°. Using the known angles in the first triangle, we find the missing angle measure:
180-(65+70) = 180-135 = 45
We do the same for the second triangle:
180-(65+45) = 180 - 110 = 70
Any two triangles that have all 3 angles congruent is similar by AAA.
