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qaws [65]
3 years ago
14

In the diagram above, angle 1 = 2x+20 andangle 2 = 3x+10. Find the measure of angle 1. ​

Mathematics
1 answer:
anzhelika [568]3 years ago
7 0

Answer:

angle 1 is equal to 40°

Step-by-step explanation:

angles 1 and 2 are congruent due to alternate interior angles of parallel lines. This means that 2x+20=3x+10, solving this leaves us with x=10. Since angle 1 = 2x +20 and x=10, solve to get 2(10)+20 =20+20 = 40

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11. Mr Lee bought a second hand car for
Marrrta [24]

Answer :

Depends on the rate compound interest is accrued. See answers.

Step-by-step explanation:

We need the compound interest formula which is:

A = P (1+\frac{r}{n} )^{nt}

A =  final amount

P =  initial principal balance

r =  interest rate

n =  number of times interest applied per time period

t =  number of time periods elapsed

It doesn't say how frequently the interest is compounded, so we will do monthly, quarterly, and yearly.

MONTHLY

So we know the car costs $25,480 and he made a down payment of $10,000. By subtracting the down payment from the purchase price we find the loan amount.

$25,480 - $10,000 = $15,480

P = 15,480

r = 4.75% = .0475

n = 12  (12 months in a year)

t = 2  

Plug everything into the compound interest formula.

A = P (1+\frac{r}{n} )^{nt}

A = 15480(1+\frac{.0475}{12})^{12*2}

A = 15480(1+\frac{.0475}{12})^{24}

A = 15480(1+.00396)^{24}

A = 15480(1.00396)^{24}

A = 15480*1.0992

A = $17016.14

Mr. Lee paid $17,016.14 when the bill came due at 2 years with interest compounded monthly.

QUARTERLY

P = 15,480

r = 4.75% = .0475

n = 4  (4 quarters in a year)

t = 2  

A = P (1+\frac{r}{n} )^{nt}

A = 15480(1+\frac{.0475}{4})^{4*2}

A = 15480(1+\frac{.0475}{4})^{8}

A = 15480(1+.0119})^{8}

A = 15480(1.0119)^{8}

A = 15480*1.099

A = 15480(1.099)

A = 17013.20

Mr. Lee paid $17,013.20 when the bill came due at 2 years with interest compounded quarterly.

YEARLY

P = 15,480

r = 4.75% = .0475

n = 1  

t = 2  

A = P (1+\frac{r}{n} )^{nt}

A = 15480(1+\frac{.0475}{1})^{1*2}

A = 15480(1+\frac{.0475}{12})^{2}

A = 15480(1+.0475})^{2}

A = 15480(1.0475)^{2}

A = 15480*1.0973

A = 16985.53

Mr. Lee paid $16,985.53  when the bill came due at 2 years with interest compounded yearly.

4 0
3 years ago
Kevin can travel 22 1/2 miles in 1/4 hours . What is his average speed in miles per hour
Zanzabum
Just do 22 1/2 divided by 1/4 which is:

90 mph
3 0
3 years ago
StephanieHad 7/8 pound of bird seed she can use 3/8 pound to fill a bird feeder how much birdseed to Stephanie have left
Anna11 [10]
7/8 - 3/8= 4/8 I hope this helps.
4 0
3 years ago
The center on the basketball team scored 19 of the team’s 98 points. What percent of the points did he score?
Vesnalui [34]
19/98=.1938= 19.38% of the points
5 0
3 years ago
Read 2 more answers
Two friends are hiking in Death Valley National Park. Their elevation ranges from 228 ft below sea level at
monitta

Answer:

x - 231 ≤ 459

Step-by-step explanation:

Given:

Elevation ranges below sea level  = 228 ft

Elevation ranges above sea level  = 690 ft

Elevation = x

Computation:

Ideal range = [690-228] / 2 = 231

Tolerance range = [690+228] / 2 = 459

So,

x - 231 ≤ 459

6 0
3 years ago
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