Answer:
m<ABC=51°
Step-by-step explanation:
The inscribed angle is half the measure of the intercepted arc. This means that angle ABC=1/2 arc AC
Using this, let's make an equation
5x+11=(1/2)(16x-26)
5x+11=8x-13
11=3x-13
24=3x
x=8
Now go back to angle ABC and substitute for x
5(8)+11=51
m<ABC=51°
Answer:
circumference=2πr=75
2×3.14×r=75
6.28 r=75
r=75/6.28=11.943=12 inch (nearly)
Step-by-step explanation:
This is why you have a calculator m=3
<span>A square will always be a parallelogram due to the definition of a square.
A parallelogram is a quadrilateral with two pairs of parallel lines. Each two opposite sides are equal and none of the angles is right.
A square is a quadrilateral with 2 pairs of parallel sides, all right angles and all congruent sides.
Since it is part of the definition, it is impossible to have a square that is not a parallelogram.</span>
The equation for this is:
F = P(1+i)ⁿ
where
F is the present accounts balance
P is the initial deposit
i is the interest rate
n is the number of months
The interest rate is nominal which is 2.9% per year compounded monthly. Since there are 12 months in a year, that is equal to an effective interest rate of 0.24167% per month compounded monthly (i = 0.0024167). In 9 years, there are a total of 108 months, so n=108.
<span>$2033.88 = P(1+0.0024167)</span>¹⁰⁸
P = $1567.147
