Answer:
Step-by-step explanation:
we know that
The <u><em>Midpoint Theorem</em></u> says that the line segment joining the midpoints of any two sides of a triangle is parallel to the third side and equal to half of the third side
so
in this problem
Applying the midpoint theorem
Answer:
a: 500in squared
Step-by-step explanation:
A=(a+b)/2 x h.
19+31=50
50/2=25
25×20=500
Answer:
20 : 100% = x : 115%
Step-by-step explanation:
Do 115 x 20
divide the answer by 100
and that is your answer
To add 13% vat we can multiply by (100%+13%) = 113% = 1.13
To remove 13% vat divide by 1.13
339 / 1.13 = 300 the discounted price.
The amount of discount = 400 - 300 = 100
Discount rate = 100 / 400 = 1/4 = 25%
Answer:
D = 108°
F = 180°
H = 252°
I = 288°
Explanation:
Every regular polygon with <em>n </em>sides can be divided into <em>n</em> congruent triangles. The angle with vertex the center of the polygon will measure 360 : <em>n </em>degrees. This will also be the angle of rotation under which the polygon matches itself.
We are given a regular decagon, therefore:
<em>n </em>= 10
α = 360 : <em>n </em>= 36°
We consider that, if the decagon is not rotated, A' coincides with A and the rotation is towards the next letter of the alphabet. This means that after one rotation of 36° A' will coincide with B, after two rotations A' will coincide with C and so on.
A' will coincide with D after three rotations: 3 × 36° = 108°
A' will coincide with F after five rotations: 5 × 36° = 180°
A' will coincide with H after seven rotations: 7 × 36° = 252°
A' will coincide with I after eight rotations: 8 × 36° = 288°
