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weqwewe [10]
3 years ago
15

What is a simplified form of the expression sec^3theta - sectheta/cot^2theta?

Mathematics
1 answer:
SOVA2 [1]3 years ago
5 0
The answer is x(77-y)783-7
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14. Given parallelogram ABCD, find the lengths and angles required. (12 pts)
shepuryov [24]

Answer:

a. x = 3

AB = 17

CD = 17

b. y = 18

m<A = 86°

m<D = 94°

Step-by-step explanation:

Based on the properties of a parallelogram, the following can be deduced:

AB = CD

m<A + m<D = 180°

m<A = m<C

m<B = m<D

a. ✔️Find the value of x

AB = CD

Substitute

5x + 2 = 8x - 7

Collect like terms

5x - 8x = -2 - 7

-3x = -9

Divide both sides by -3

x = 3

✔️Find AB and CD

AB = 5x + 2

Plug in the value of x

AB = 5(3) + 2 = 17

CD = 8x - 7

CD = 8(3) - 7 = 17

b. ✔️Find the value of y:

m<A + m<D = 180°

Substitute

2y + 50 + 3y + 40 = 180°

Add like terms

5y + 90 = 180

Subtract 90 from each side

5y = 180 - 90

5y = 90

Divide both sides by 5

y = 90/5

y = 18

✔️Find m<A and m<D

m<A = 2y + 50

Plug in the value of y

m<A = 2(18) + 50 = 86°

m<D = 3y + 40

m<D = 3(18) + 40 = 94°

3 0
3 years ago
The local newspaper has letters to the editor from 70 people. If this number represents 4% of all the newspaper readers, how man
vredina [299]

Answer:

The newspaper has 1750 readers.

Step-by-step explanation:

Divide 70 by 2: 35.

Then, multiply 35 by 50 which is equal to 1750.

6 0
3 years ago
10 points. What is 37035/3=
san4es73 [151]
12345
Hope this would help you
5 0
3 years ago
Read 2 more answers
When twice a number is subtracted from 34, the result is 16. Find the number.
Schach [20]

Answer:

9

Step-by-step explanation:

34 - 16 = 18

18 ÷ 2 = 9

you're welcome! I'm a 6th grader btw!

7 0
3 years ago
Read 2 more answers
Rob maintains an average monthly balance on his credit card of $1,900. His credit card company charges 21% interest annually, wh
xxMikexx [17]

Answer:

1.23

Step-by-step explanation:

1.23 - 0.01 + 0.01= 1.23

3 0
3 years ago
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