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3 years ago

Find the measures of the indicated angles.

Mathematics

2 answers:

Pachacha [2.7K]3 years ago

8 0

Step-by-step explanation:

first, find the value of angle t

angles of a triangle add up to 180.

with this, we can set up the equation

180 = t + 62 + 56

t = 62

to find angle w, find the sum of the top angles

25 + 56 = 81

again, sum of angles in a triangle adds to 180.

since we have the bottom right angle and the top angle, we can find the bottom left angle

180 = 56 + 62 + w

w = 37

finally we can find angle v

180 = 25 + w + v

180 = 25 + 37 + v

v = 118

another approach would be to find angle v after finding angle t.

because the two angles are supplementary, they add up to 180

angle v + angle w = 180

Simora [160]3 years ago

7 0

T=62 v=118 w=42 I think

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Answer:

Step-by-step explanation:

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You invest $1200 and it grows at a rate of 7% for 5 years. Which expression gives the value of your investment?

finlep [7]

The expression gives the value of your investment is $A=1200(1.07)^{5}$

The value of investment after 5 years is $ 1683.06

Solution:

Given that You invest $1200 and it grows at a rate of 7% for 5 years

To find: Expression that gives the value of your investment

From given information,

Principal = $ 1200

rate of interest = 7 %

number of years = 5 years

The formula for compound interest, including principal sum, is:

$A=p\left(1+\frac{r}{n}\right)^{n t}$

Where,

A = the future value of the investment/loan, including interest

P = the principal investment amount (the initial deposit or loan amount)

r = the annual interest rate (decimal)

n = the number of times that interest is compounded per unit t

t = the time the money is invested or borrowed for

Assuming interest is compounded annually, n = 1

$r = 7 \% = \frac{7}{100} = 0.07$

Substituting the values we get,

$A=1200\left(1+\frac{0.07}{1}\right)^{1 \times 5}$

$\begin{aligned}&A=1200\left(1+\frac{0.07}{1}\right)^{1 \times 5}\\\\&A=1200(1.07)^{5}\\\\&A=1200 \times 1.402=1683.06\end{aligned}$

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4 years ago

Brenda is deciding between two landscaping companies for her place of business. Company A charges $25 per hour and a $300 equipm

Thepotemich [5.8K]

Answer:

1/6 hours

Step-by-step explanation:

Given data

Company A charges

$25 per hour and a $300 equipment fee

let the number of hours be t

and the total charges be A

A=25+300t----------------1

Company B charges $50 per hour and a $150 equipment fee.

let the number of hours be t

and the total charges be B

y=50+150t----------------2

Equate 1 and 2 we have

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300t-150t= 50-25

150t= 25

divide both sides by 150

t= 25/150

t=1/6 hours

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3 years ago