so first we should make the denominators the same so find a multiple that 5 and 8 share: they share a multiple of 40, so whatever you do to the denominator you do to the numerator. So the equation should now look like 16/40+15/40 and the answer is 31/40!!
The area of the rectangular base is the amount of space on the rectangular base
The area of the rectangular base is 60 square inches
<h3>How to determine the area of the rectangular base?</h3>
The question is incomplete; as the diagram is not given.
So, I will apply the concept of similar shapes to determine the area of the rectangular base
To determine the area of the rectangular base, we make use of the following equivalent ratio:
Ratio = Height : Area
This gives
3 : 36 = 5 : Area
Express as fraction
36/3 = Area/5
Evaluate the quotient
12 = Area/5
Multiply both sides by 5
Area = 60
Hence, the area of the rectangular base is 60 square inches
Read more about areas at:
brainly.com/question/24487155
Answer:
a. m<B = 100°
b. m<L = 55°
c. Scale factor = 9/11
Step-by-step explanation:
a) Similar triangles have their three corresponding angles congruent to each other, while the ratio of their corresponding sides are proportional to each other.
Since ∆ABC ~ ∆GLJ, therefore,
<A = <G,
<B = <J
<C = <L
m<J = 100° (given)
Therefore,
m<B = m<J = 100°
m<B = 100°
b) m<A = m<G
m<A = 25° (given)
Therefore,
m<A = m<G = 25°
m<G = 25°
m<L = 180° - (m<J + m<G)
Substitute
m<L = 180° - (100° + 25°)
m<L = 55°
c) scale factor of smaller triangle to the larger = side length of smaller triangle / corresponding side length of bigger triangle
Scale factor = AB/GJ
Substitute
Scale factor = 18/22
Simplify
Scale factor = 9/11
Answer:
r = 
Step-by-step explanation:
The common ratio r is calculated as
r = 
= 
= 
=
Answer:
(-0.5, -1)
Step-by-step explanation:
To find the midpoint add the coordinates then divide by 2
x = (2 + -1)/2
x = 1/2 = 0.5
y = (3 + -5)/2
y = -1
(-0.5, -1)
