All categories

3 years ago

Find the measure of a A. 44 B. 88 C. 46 D. 90

Mathematics

2 answers:

Rina8888 [55]3 years ago

4 0

<h3>Answer: Choice A. 44</h3>

====================================================

Explanation:

Since we have a circle, the segments extending from the center outward to the edge of the circle are radius segments. Any two radii of the same circle are the same length. The triangle on the left with the 92 degree angle is isosceles. Any isosceles triangle has exactly two side lengths that are the same, which leads to the base angles being the same as well.

For the triangle on the left with angles a,b,92, the base angles are 'a' and 'b'. So a = b.

For any triangle, the angles add to 180

a+b+92 = 180

a+a+92 = 180 ... Replace b with 'a'

2a+92 = 180

2a = 180-92

2a = 88

a = 88/2

a = 44

angle b is also 44 as well

a+b+92 = 44+44+92 = 180

Brrunno [24]3 years ago

4 0

Answer for this question is A. 44

You might be interested in

PLEASE HELP! I'm on a time limit!!

QveST [7]

Answer:

P = (2,-4)

Q = (3,9)

R = (-4,2)

Step-by-step explanation:

rotation by 180 degrees means that the points are inverted. the answers would be the opposite of the given

7 0

2 years ago

You borrow 125,000 for 25 years at an APR of 6.5%. What will be your monthly payment?

Morgarella [4.7K]

$\bf \qquad \qquad \textit{Amortized Loan Value}
\\\\
pymt=P\left[ \cfrac{\frac{r}{n}}{1-\left( 1+ \frac{r}{n}\right)^{-nt}} \right]
\\\\\\\\
\qquad 
\begin{cases}
P=
\begin{array}{llll}
\textit{original amount}\\
\end{array}\to &
\begin{array}{llll}
125000
\end{array}\\
pymt=\textit{periodic payments}\\
r=rate\to 6.5\%\to \frac{6.5}{100}\to &0.065\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{APR, meaning once}
\end{array}\to &1\\

t=years\to &25
\end{cases}$

8 0

2 years ago

Find the particular solution of dy/dx=x^2-y

lora16 [44]

Differentiate each term with respect to x , then solve y'.

dy/dx = y+2x^3/ x(1+x)

8 0

3 years ago

A plumbers plastic pipe is 4 m long, has an inside diameter of 4.0 cm and an outside diameter of 5.0cm. What is the volume of th

SCORPION-xisa [38]

Answer: $V=0.0028278\ m^3$

Step-by-step explanation:

Given

Length of the pipe $l=4\ m$

Inside diameter of the pipe $d_i=4\ cm$

Outside diameter of the pipe $d_o=5\ cm$

Volume of the pipe

$\Rightarrow V=\dfrac{\pi }{4}[d_o^2-d_i^2]\\\\\text{Insert the values}\\\\\Rightarrow V=\dfrac{\pi}{4}[5^2-4^2]\times 10^{-4}\times 4\\\\\Rightarrow V=28.278\times 10^{-4}\ m^3\\\\\Rightarrow V=0.0028278\ m^3$

5 0

3 years ago

Find the total in the account with the following facts monthly contributions =$180 employer matching 25% interest rate 4.99% yea

algol13

Answer:

The amount that will be in the account after 38 years is $ 36811,05

Step-by-step explanation:

For resolved this exercise used the next equation

R(1-(1 + i)--) Ap = ... (1)

Ap = Amount in account

R = Paid monthly

i = Monthly interest rate

t = Months for paid

Dates

i=- 2.05% 12 = 0,1708% = 0.0017

The interest is divided for 12 because is annual and the formula is mensual

t = 15yearsx12 = 180 months

R = 220$

R(1-(1 + i)-) Ap =

220(1-(1 + 0.0017)-180) Ap = 0.0017

162,04 Ap=0.0017

Ap = 95321,855

The amount that will be in the account after 15 years is $ 95,321.85

R(1-(1 + i)--) Ap = ... (1)

Ap = Amount in account

R = Paid monthly

i = Monthly interest rate

t = Months for paid

i=- 4,99% -= 0,415% = 0.0041

The interest is divided for 12 because is annual and the formula is mensual

t = 38yearsx12 = 456 months

R = 180$

R(1-(1 + i)-) Ap =

Ap = 180(1-(1 + 0.0041) -456 0.0041

Ap = 36811,055

The amount that will be in the account after 38 years is $ 36811,05

4 0

3 years ago