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Helen [10]
3 years ago
8

⚠️⚠️⚠️ PLEASE HELP!!!!!!⚠️⚠️⚠️

Mathematics
1 answer:
Tcecarenko [31]3 years ago
4 0

Answer:

Angle 2 & 4 = 72

Step-by-step explanation:

Angle 7 is corresponding to angles 3.

So, since we know angle 7 = 108, then angle 3 = 108.

Angle 3 is supplementary to angle 2, which means they add up to 180º.

So if angle 3 = 108.

Then:

Angle 2 + 108 = 180

Angle 2 = 72º.

Angle 2 & angle 4 are vertical angles, so they have the same measure. Therefore,. If angle 2 is 72º, then angle 4 has to also be 72º.

Hope this helps! Have a great day!

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Write an equation of the circle with center (-7,4) and radius 11.
olga_2 [115]

Answer: (x+7)^2 + (y-4)^2 = 121  or  (x+7)^2 + (y-4)^2 = 11^2

Step-by-step explanation:

Equation of the circle is:

(x-h)^2+(y-k)^2=r^2 , which is the center (h,k) and the radius r^2

-Place the center (-7,4) and radius 11 onto that equation:

(x+7)^2+(y-4)^2=121 (if simplified radius needed)

or

(x+7)^2(y-4)^2=11^2

7 0
3 years ago
Read 2 more answers
On May 17th Jane took out a loan for $33,000 at 6% to open her law practice office the loan will mature the following year on Ja
frosja888 [35]

Answer:

$ 31050

Step-by-step explanation:

<em>Step 1 : Write the formula for calculating simple interest.</em>

Simple Interest = <u>P x R x T </u>

                                100

P: Principal Amount-The loan taken (30,000)

R: Interest rate at which the loan is give (6)

T: Time period of the loan in years-there are 12 months in 1 year. There are 7 months from May till June (7/12)

<em>Step 2: Substitute values in the formula</em>

Simple Interest = <u>30,000 x 6 x 7/12</u>

                                       100

Simple Interest = $1050

<em>Step 3: Calculate the amount due at maturity</em>

At the maturity or the end of the time period given, the original or principal amount of the loan has to be repaid along with the simple interest.

Amount at maturity = Principal Amount + Simple Interet

Amount at maturity = 30,000 + 1050

Amount at maturity = $31050

!!

4 0
3 years ago
Donald spends a total of $17.43 on peanuts that cost $2.49 per pound. How many pounds of peanuts does he buy?
True [87]

Answer:

He bought 7 pounds of peanuts

Step-by-step explanation:

17.43/2.49=7

4 0
3 years ago
Pls help. I am having a lot of trouble
Stels [109]

Answer:

c. there are 4 fewer sixth graders than eighth graders who would prefer the same amount of time between classes.

Step-by-step explanation:

the answer is c because it's the only logical one. while there are 5 eighth graders who want the same amount of time and 1 sixth grader. 5-1 is 4. 4 fewer.

5 0
3 years ago
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Write a sentence contrasting the political development of the North versus the South in the years leading up to the Civil War.
Oxana [17]

Answer:

The opposite side, lead by Thomas Jefferson, belived

people should have political power, favored strong state goverment.              Step-by-step explanation:

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