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3 years ago

13

∠DFG and ∠JKL are complementary angles. m∠DFG = x + 5, and m∠JKL = x − 3. Find the measure of each angle.

1 answer:

chubhunter [2.5K]3 years ago

8 0

Answer:

A

Step-by-step explanation:

complementary angles are 90 degrees so if we add both angles together we get 90 degrees. the equation is x-3+x+5=90. then we do algebra and so it goes to x-3+x=85 then to x+x=88 then to 2x = 88 then to x = 44. now we just do 44+5=49 44-3=41

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How many hours and minutes is it from 10:55 p.m. on Friday to 9:35 a.m. on Saturday?

Grace [21]

Answer:

10 hours and 40 minutes

Step-by-step explanation:

1 hour 5 minutes + 9 hours 35 minutes

Hope this helps! Have a great day!

8 0

4 years ago

Bradley is purchasing a new car for 37000. If the car loses 20%of its value every year, how much will the car be worth in 7 year

spayn [35]

ANSWER

After 7 years the car will worth, 7,759.5

EXPLANATION

The initial value of the car is 37000.

The rate of depreciation is 20%

In 7 years time, we can calculate the value of the car using the formula,

$A=P(1-r\%)^n$

We substitute the values into the formula to obtain,

$A=37000(1-0.2)^7$

$A=37000(0.88)^7$

$A=7759.5$ to the nearest tenth

6 0

3 years ago

Harry Potter has a large amount of money in his vault at Gringotts. He wants to use some of it to buy his friends new broomstick

lianna [129]

Answer:

Domain is 8 to 15 broomsticks

Range is 1,200 to 2,250 Galleons

Step-by-step explanation:

Here, when we talk of the domain, we are simply referring to the range of values of the number of broomsticks to be bought which is between 8 and 15

When we talk of the range, we are talking of the amount these broomsticks will cost

The cost for 8 broomsticks will be 8 * 150 = 1,200 Galleons

15 broomsticks will cost 15 * 150 = 2,250 Galleons

The range here will thus be 1,200 Galleons to 2,250 Galleons

7 0

3 years ago

Read 2 more answers

I need help asap, please and thank you :))

Troyanec [42]

Answer:

What is the value of x?

<em>x = 40 degrees.</em>

What is the measure of angle AFE?

<em>Angle AFE = 140 degrees</em>

What is the measure of angle BFD?

<em>Angle BFD = 140 degrees.</em>

Step-by-step explanation:

Angle AFC is 90 degrees.

To find angle x, we have to subtract angle BFC.

90 - 50 = 40 degrees.

Line BFE is 180 degrees.

To find angle AFE, we have to subtract angle x from 180 degrees.

We have solved x already.

180 - 40 = 140 degrees.

Angle BFD is just 90 degrees plus 50 degrees.

90 + 50 = 140 degrees.

6 0

3 years ago

Read 2 more answers

Given r(x) = x square +2x -1 and s(x) = x-1 what is the value of r(s(3))

Amanda [17]

Answer:

$r(s(3))=7$

Step-by-step explanation:

we have

$r(x)=x^{2} +2x-1$

$s(x)=x-1$

we know that

The function composition is equal to

(r ∘ s )(x) = r(s(x))

In the function r(x) substitute the variable x by the function s(x)

so

$r(s(x))=(x-1)^{2} +2(x-1)-1$

For x=3

substitute the value of x=3 in the function composition

$r(s(3))=(3-1)^{2} +2(3-1)-1$

$r(s(3))=(2)^{2} +2(2)-1$

$r(s(3))=4+4-1$

$r(s(3))=7$

3 0

3 years ago