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tankabanditka [31]
2 years ago
8

20 pts Angle 4 and angle _ are alternate interior angles.

Mathematics
2 answers:
oee [108]2 years ago
8 0

Answer:4

Step-by-step explanation:

Alternate angles are equal, therefore the other angle will be 4 since they are alternate

Alina [70]2 years ago
7 0
The answer is 4 I don’t how to explain it sorry
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You have a part time job in your junior year of high school. You need to borrow $2,000 to purchase a used car to drive to work.
VARVARA [1.3K]

Answer:

$149.66

Step-by-step explanation:

Step 1

Calculate Total Amount payable to the bank using compound interest

Total Amount payable (A) =

P(1 + r/n)^nt

P = Principal = $2000

r = Interest rate = 9% = 0.09

n = compounding interest = quarterly = 4

t = time in years = 2

Total Amount payable

= 2000(1 + 0.09/4)^0.09 × 2

A = $ 2,389.66

Interest = A - Principal

= $ 2,389.66 - $ 2,000.00

I (interest) = $ 389.66

Step 2

Calculate the Total amount payable to his uncle using simple interest.

Total Amount (A) = P(1 + rt)

P = Principal = $2000

r = Interest rate = 6% = 0.06

t = time in years = 2

A = 2000(1 + 0.06 × 2)

A = $2,240

A - Principal

= $ 2,240 - $ 2,000.

I (interest) = $240

Step 3

The amount of money you will save by borrowing the money from your uncle is calculated as:

Amount payable to the bank - Amount payable to your uncle

= $ 2,389.66 - $2,240

= $149.66

Therefore, the amount of money you will save by borrowing the money from your uncle is $149.66

3 0
3 years ago
100 POINTS PLEASE HELP ASAP!!!!
Alika [10]

Answer: To clear an equation of decimals, multiply each term on both sides by the power of ten that will make all the decimals whole numbers. In our example above, if we multiply .25 by 100, we will get 25, a whole number. Since each decimal only goes to the hundredths place, 100 will work for all three terms.

So let's multiply each term by 100 to clear the decimals:

(100)0.25x + (100)0.35 = (100)(-0.29)

25x + 35 = -29

Now we can solve the equation as normal:

25x + 35 - 35 = -29 - 35

25x = -64

x = -2.56 Since the original was in decimal form, the answer should most likely also be in decimal form.

Let's look at one more:

1.75x + 4 = 6.2

We have to think a little more carefully about what multiple of ten to use here. 6.2 only needs to be multiplied by 10, but 1.25 needs 100, so we will multiply every term by 100. Don't forget to multiply the 4 by 100 as well.

(100)(1.75x) + (100)(4) = (100)(6.2)

175x + 400 = 620

We had to be extra careful as we multiplied by 100. Now we can solve the equation as normal:

175x + 400 - 400 = 620 - 400

175x = 220

x = 1.26

Step-by-step explanation:

8 0
3 years ago
Solve the expression x + 3 = 7
Daniel [21]

Answer:

x=4

Step-by-step explanation:

think of the equation like this: you have to do the inverse(opposite) operations so for adding you would subtract it. So for the adding 3 you would subtract it from both sides of the equation and get X=4

6 0
3 years ago
Solve for x: tan(180-ø).tan(90+ø)+xcos(90+ø).(cos90-ø) =sinø.(sin180-ø) ​
Burka [1]
Is there a picture that I’m able to look at??
5 0
3 years ago
Read 2 more answers
The diameter of Circle Q terminates on the circumference of the circle at (3,0) and (3,-7) . Write the equation of the circle in
Deffense [45]

Step-by-step explanation:

The center of a circle with 2 end points of a di diameter is the midpoint of the two endpoints.

The formula needed to find the minpoints is

(x,y) = (x2 + x1)/2, (y2 + y1)/2

x2 = 3

x1 = 3

y2 = 0

y1 = -7

midpoint = (3 + 3)/2, (0 - 7)/2

midp[oint = 3,-3.5

The midpoint is the center of the circle. Observe that the signs get changed when entering the values for (x,y)

So far what you have is (x - 3)^2 + (y + 3.5)^2 = r^2

To determine r^2 you need only take the distance from the center to oneof the endpoints.

r^2 = (3 - 3)^2 + (3.5 - 0)^2

r^2 = 3.5^2

r^2 = 12.25

Answer: (x - 3)^2 + (y + 3.5)^2 = 12.25

6 0
2 years ago
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