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fiasKO [112]
3 years ago
8

Help!!!!!! Will give Brainlist answer!!!! 3 parts pls thank you so much

Mathematics
1 answer:
wariber [46]3 years ago
6 0
Part A
The small red arcs indicate that angles PQS and RQS are congruent.

13x - 1 = 2(6x + 4)

13x - 1 = 12x + 8

x = 9

m<PQR = 13x - 1 = 116

m<RQS = 6x + 4 = 6(9) + 4 = 58

m<PQS = 116 - 58 = 58

Part B

12^2 + (OH)^2 = 13^2

144 + (OH)^2 = 169

(OH)^2 = 25

OH = 5

r = OH = 5

Part C

WZ/ZY = WX/XY

24/12 = 30/XY

2 = 30/XY

2(XY) = 30

XY = 15
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Which is the completely factored form of 12x3 – 60x2 + 4x – 20?
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Answer:

4(x-5)(3{x}^{2}+1)

Step-by-step explanation:

1) Find the Greatest Common Factor (GCF).

1 - What is the largest number that divides evenly into 12x^3,-60x^2,4x, and -20 ?

It is 4.

2 - What is the highest degree of x that divides evenly into 12x^3,-60x^2,4x, and -20 ?

It is 1, since x is not in every term.

3 - Multiplying the results above,

The GCF is 4.

2)  Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

4(\frac{12{x}^{3}}{4}+\frac{-60{x}^{2}}{4}+\frac{4x}{4}-\frac{20}{4})

3) Simplify each term in parentheses.

4(3{x}^{3}-15{x}^{2}+x-5)

4) Factor out common terms in the first two terms, then in the last two terms.

4(3{x}^{2}(x-5)+(x-5))

5)  Factor out the common term x-5.

4(x-5)(3{x}^{2}+1)

5 0
1 year ago
The measure of an angle is 8 times the measure of its complement. tina writes an equation and finds the correct measure of each
pogonyaev
One of the unknown angles (let's called it n) has a complement (meaning their sum adds up to 90 degrees) and the other angle is 8 times the unknown angle (8n)

With all this information, you should have the equation:

n + 8n = 90

To solve, combine like terms to get:

9n = 90

Divide by 9 on both sides to isolate the variable n.

n = 10

Now we plug back in to find our angle measurements. The first angle, n, is 10 degrees. The second angle, 8n, is 8 * 10 which is 80; the second angle is 80 degrees. 
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3 years ago
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Verizon [17]

Answer:

36

Explanation:

Multiples of 4 are:

4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64,...

Multiples of 18 are:

18, 36, 54, 72, 90, 108, 126, 144,...

The least common multiple of 4 and 18 is 36.

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Write 11/25 and 9/20 so that they can have a common denominator.
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