Answer: -5
Step-by-step explanation:
Since the triangle is equilateral, QR = RS = QS.
a. MS = (1/2)74
MS = 37
b. Half of the equilateral triangle makes a right triangle. Use Pythagorean Theorem to find QM.
a^2 + b^2 = c^2
37^2 + b^2 = 74^2
1369 + b^2 = 5476
subtract 1369 from both sides
b^2 = 4107
take the square root if both sides
b = 64.1
QM = 64.1
Answer:
= 130°
Step-by-step explanation:
Angles subtended at the center by the arcs 
and 
are ∠HPG and ∠EPF.
Since these angles are the vertical angles both will be equal.
m∠HPG ≅ m∠EPF
3x - 10 = 2x + 10
3x - 2x = 10 + 10
x = 20
Therefore, 
= 50°
Similarly 
= 50°
In the same way angles subtended at the center will be equal.
m∠EPH ≅ m∠FPG
and 
Since 
°
Therefore, measure of arc EH = 130°
Answer:
27 years
Step-by-step explanation:
P is measured in thosands therefore, P will have a value of 120
so it would be...
120=80e^0.015t
80e^0.015t=120
e^0.015t=120/80=3/2=1.5
e^0.015t=1.5
0.015t= In(1.5)
t=In(1.5)/0.015
∴ t≈27.03 round it to 27 years
It would be greatly appreciated if you gave me the brainlest
First, you try to make sure that both the denominators are the same. In order to do this, you multiply both fractions' numerator and denominator by the other fraction's denominator. Next, you combine like terms in the numerator, and then you simplify the fraction.
