Answer:
m∠A = 25° and m∠C = 25°
Step-by-step explanation:
The sum of all three angles in a triangle must add up to 180°. Since the measure of angle B is 130°, the sum of the other two angles have to be 50°.
Also, the triangle is isosceles, meaning two of the sides are equal in length. For those sides, their corresponding angles must also be equivalent. In this case, it's the two smaller angles. Since we have 50° between the two angles, A and C, divide 50 by 2 to get 25° for both angle measurements.
Answer:
23+11..these are 2 example of were if we add two prime numbers we get sum of 34...
Step-by-step explanation:
Answer:
C. 1.8027
Step-by-step explanation:
The exponential population growth model is given by:

In which P(t) is the population after t years,
is the initial population and r is the growth rate.
At the beginning of a population study, the population of a large city was 1.65 million people. Three years later, the population was 1.74 million people.
This means that 
Applying this to the equation, we find r. So




Applying ln to both sides




So

What would be the population of the city 5 years after the start of the population study?
This is P(5).



So the correct answer is:
C. 1.8027
The answer is 100.
<u>Step-by-step explanation</u>:
<u>Given</u>:
A circle is centered on the point(-1,5) and contains the point(7,11)
<u>To find</u>:
Area of a circle.
<u>Formula</u>:
(x – a)2 + (y – b)2 = r2
<u>Solution</u>:
D(A,B)=√ (xa − xb)2 + (ya − yb)2
D(A,B)=√ (7 + 1 )2 + (11− 5)2
D(A,B)=√ (8 )2 + (6)2
D(A,B)=√ 100
D(A,B)=10
Substituting in the above equation
(x + 1 )2 + (y – 5)2 = 100
Answer:
8 yards
Step-by-step explanation:
there are 3 feet in one yard so 24 divided by 3 is 8