Answer:
8) 10°
9) X can not be determined.
10) 10°
11) 12 units.
Step-by-step explanation:
8) The three sides of the given triangle are equal. Hence, the triangle is an equilateral triangle, hence each angle will be 60°.
So, 6x = 60°
⇒ x = 10°.
9) The three angles of the given triangle are equal. Hence, the triangle is an equilateral triangle, hence each side will be equal.
So, 6x - 5 = 6x
So, x can not be determined from this equation.
10) Δ KLM is equilateral, so, KN will bisect ∠ MKL. So, ∠ NKL = 30°
Hence, 3x = 30°
⇒ x = 10°
11) In Δ XYZ, XZ = XY , so, ∠ Z = ∠ Y.
Again, ∠ X is given to be 60°.
Therefore, each angle is 60°.
So, the triangle XYZ is equilateral, and each side will be equal.
So, 3x + 8 = 4x - 4
⇒ x = 12 units. (Answer)
Answer: the correct option is A
Step-by-step explanation:
Cost of the bus is $25000. She took a loan of $25000 to be paid of in 5 years at an interest rate of 7%.
The formula for simple interest is expressed as
I = PRT/100
Where
I = interest
P = principal or initial amount borrowed
T = time in years
R = interest rate in percentage
From the information given,
P = 25000
R = 7%
T = 5 years
Therefore
I = (25000 × 7 × 5)/100 = 875000/100
I = $8750
Answer:
9 ft
Step-by-step explanation:
its volume is equal to the area by height;
(2.5 x 3)h = 67.5
h = 9ft