Answer:
The measure of the vertex angle is 94 degrees ⇒ A
Step-by-step explanation:
- In any triangle, the sum of the measures of its interior angle is 180°
- In the isosceles triangle, the two base angles are equal in measures
∵ In an isosceles triangle, the measure of the base angle = (2x + 5)
∵ The base angles of the isosceles triangles are equal in measures
∴ The measures of the base angles are (2x + 5), (2x + 5)
∵ The measure of the vertex angle = (5x - 1)
∵ The sum of the measure of the three angles = 180°
∴ (2x + 5) + (2x + 5) + (5x - 1) = 180
→ Add the like terms in the left side
∵ (2x + 2x + 5x) + (5 + 5 + -1) = 180
∴ 9x + 9 = 180
→ Subtract 9 from both sides
∴ 9x + 9 - 9 = 180 - 9
∴ 9x = 171
→ Divide both sides by 9 to find x
∴ x = 19
→ Substitute the value of x in the measure of the vertex angle to find it
∵ The measure of the vertex angle = 5x - 1
∴ The measure of the vertex angle = 5(19) - 1
∴ The measure of the vertex angle = 95 - 1
∴ The measure of the vertex angle = 94°
∴ The measure of the vertex angle is 94 degrees
Answer:
m=d*v
Step-by-step explanation:
3x - 12
3(3x/3 - 12/3)
3(x - 4)
The answer is: 3(x - 4).
Triangle CGD and triangle CEF both share the same angle at point C.
This means angle GCE equals to angle ECG
Answer: GCE is congruent to ECG
Answer:
No, he is wrong.
Step-by-step explanation:
Since, the total payment of a loan after t years,
Where,
P = present value of the loan,
r = rate per period ,
n = number of periods,
Given,
P = $165,000,
In loan 1 :
r = 3% = 0.03, t = 15 years,
So, the total payment of the loan is,
In loan 2 :
r = 4% = 0.04, t = 30 years,
So, the total payment of the loan is,
Since, 
Hence, total amount repaid over the loan will be less for Loan 1.
That is, the friend is wrong.
