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:
5190 g
Step-by-step explanation:
Calculate the volume:
28.0 cm × 4.90 cm × 3.60 cm = 493.92 cm³
Density is mass divided by volume:
D = M / V
Solving for mass:
M = D V
Substituting values:
M = (10.50 g/cm³) (493.92 cm³)
M = 5186.16 g
Rounding to three significant figures, the mass is 5190 g.
Answer:
10
Step-by-step explanation:
Seeing the 5 12 13 triple you get 1/2x=5 so
x=10
B, 4% .
Find this by using the Interest Formula:
I = P X R X T
I = 7500 X .OO4 X 3
I = 900
m∠A = 40
Step-by-step explanation:
Given AB =AC and m∠B = 70
Since AB =AC , Triangle ABC is an isosceles Triangle and the corresponding angles B and C are equal.
So m∠B = m∠C = 70
The sum of the 3 Angles of a triangle is 180°.
=> m∠A + m∠B + m∠C = 180
=> 140 + m∠C = 180
=> m∠C = 40
Hence the answer is m∠C = 40
