Answer:
Base angle = 72
Vertex angle = 18
Step-by-step explanation:
Measure of the base angle = x. But there are two of them. (Definition of isosceles). Keep that in mind.
The vertex angle is 1/4 of one of the base angles. That means that the vertex is 1/4 x
All three angles = 180 degrees.
So we have x + x + x/4 = 180 degrees.
change 1/4x to 0.25x x since 1/4 = 0.25
Equation
x + x + 0.25 = 180
2.5x = 180
Solution
2.5x = 180 Divide by 2.5 on both sides
2.5x/2.5 = 180/2.5
x = 72
Answer
That means that each base angle = 72 degrees
The Vertex Angle = 72/4 = 18
Answer:
{(0, 0), (1, 2), (2, 4), (3, 4)
Step-by-step explanation:
the x in the ordered pair is not suppose to repeat, clearly this doesn't
Answer:
$16.25
Step-by-step explanation:
Half a gallon for $2.50 is the same as a quarter a gallon for $1.25.
If she needs 3.25 gallons, which is 13 quarters, we do $1.25 * 13 = $16.25.
Therefore, she will spend $16.25.
Answer:
52 students
Step-by-step explanation:
1/8 is 6.5
6.5 times 8 is 52
Answer:
The height of the kite from the ground is 13.617 feet
Step-by-step explanation:
Given as :
The measure of the string = 30 feet
The angle of elevation from the boy to his kite = 27°
Let the height of the kite from ground = H feet
So, From Triangle
Sin angle = 
Or, Sin 27° = 
or, H = 30 × Sin 27°
I.e H = 30 × 0.4539
∴ H = 13.617 feet
Hence the height of the kite from the ground is 13.617 feet Answer
