Answer:
<h2>The answer is 15cm</h2>Step-by-step explanation:
Let b be the length of the second parallel side
Area of a trapezium is given by
where
h is the height
a and b are the parallel sides
From the question
Area = 230 cm²
height = 20cm
one of parallel side / a = 8 cm
Substitute the values into the above formula and solve for b
That's
Reduce the fraction with 2
That's
Expand the terms
That's
Divide both sides by 10
We have the final answer as
<h3>b = 15cm</h3>Hope this helps you
Answer:
Option (A)
Step-by-step explanation:
Measure of an angle formed between a chord and a secant is equal to the half of the difference of the intercepted arcs.
m(∠FEC) =
(15 + 6x)° =
30 + 12x = (24x - 7x) - (6 + 9)
30 + 12x = 17x - 15
17x - 12x = 30 + 15
5x = 45
x = 9
m(∠FED) = (15 + 6x)
= 15 + 6(9)
= 69°
Option (A) will be the correct option.
Answer:
Step-by-step explanation:
step 1
Find the measure of angle C
Remember that the sum of the interior angles of a triangle must be equal to 180 degrees
so
A+B+C=180°
we have
A=57°
B=37°
substitute
57°+37°+C=180°
94°+C=180°
C=180°-94°=86°
step 2
Find the measure of side c
Applying the law of sines
substitute