Circle R has a radius of 6, and QP is tangent to circle R at point Q. Also, QP = 8. (a) What is the measure of ∠RQP ? Explain your answer. (b) What is the length of RP ? Explain your answer. (c) What is the length of RS ? Explain your answer. (d) What is the length of SP ? Explain your answer.

Answers

Answer 1

Answer: RQ = 6; RS = 6 ; these are radius

The triangle formed is right triangle. ∠RQP = 90°

QP = 8 ; this is the long leg.
RQ = 6; this is the short leg
RP = ? is the hypotenuse

a² + b² = c²
8² + 6² = c²
64 + 36 = c²
100 = c²
10 = c

The hypotenuse is 10, but RS is part of the hypotenuse, it has a measure of 6.

6 + x = 10
x = 10 - 6
x = 4 length of SP

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Find the value of A in the equation 5/a+3=3/A-2

Answers

If you would like to find the value of a in the equation 5/a + 3 = 3/a - 2, you can do this using the following steps:

5/a + 3 = 3/a - 2 /*a
5 + 3a = 3 - 2a
3a + 2a = 3 - 5
5a = -2
a = -2/5

The correct result would be -2/5.

5+3a = 3-2a
So
5a = -2
a=-2/5=-0.4

20 POINTS ! PLUS BRAINLIEST ANSWERGive the sum of 2x -3 and 7x + 21
Find the measure of angle KMP
Find the measure of the complement of angle KMX

Photo is attached please give correct answers otherwise I will have to report the answer for false info and get my points back

Answers

Give the sum of 2x -3 and 7x + 21
2x-3+7x+21
Add like terms:
9x+18

Find the measure of angle KMP
<KMX + <XMY = 180 (because they are on a line)
2x-3+7x+21=180
9x+18=180
9x=162
x= 18
<XMY and <KMP are vertical angles so they have the same angle measure. So find <XMY with x.
<XMY= 7x+21
<XMY= 7(18)+21
<XMY= 126+21 = 147 degrees
<XMY = <KMP = 147 degrees

First find <KMX to find the complement of it.
<KMX=2x-3
<KMX=2(18)-3
<KMX=36-3
<KMX=33
The complement of an angle is 90 degrees subtracted by the angle itself because complementary angles add up to 90 degrees.
90-33=57
The complement would have 57 degrees.

Answers :
9x+18
147 degrees
57 degrees

Hope this helps :)

sum of 2x-3 and 7x+21
2x-3+7x+21
2x+7x-3+21
9x+18

since KY is a straight line, 2x-3+7x+21=180
9x+18=180
subtract 18
9x=162
divide 9
x=18
subsitute
2x-3
2(18)-3
36-3
33=KMX
other angle is
33+otherangle=180
otherangle=XMY=147
KMP=XMY=147

KMX=33
complement is what adds to 90
33+what=90
subtract 33
what=57
complement is 57 degrees

2x-3+7x+21=9x+18
KMP=147
complement of KMX=57

Write an expression that is equivalent to 3/4(5z+16).

Answers

An expression equivalent to 3/4(5z+16) is 15/4z + 12.

Given is an expression 3/4(5z+16), we need to find the equivalentexpression,

An equivalent expression to 3/4(5z+16) can be obtained by distributing the fraction 3/4 to both terms inside the parentheses.

Here's the expression:

(3/4) x (5z + 16)

To simplify further, you can multiply the fraction 3/4 by each term inside the parentheses:

(3/4) x 5z + (3/4) x 16

This simplifies to:

15/4z + 12

Therefore, an expression equivalent to 3/4(5z+16) is 15/4z + 12.

Learn more about equivalent expression click;

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Distributive property must be applied to simplify this equation:-

3/4*5z + 3/4*16

3.75z+12

An equation that is equivalent to that equation is :- 3.75z+12

Berto has $12 to put gas in his car. If gas costs $3.75 per gallon, which ordered pair on the graph of the line relating number of gallons of gas, x, to the total cost of the gas, y, includes the greatest amount of gas Berto can buy?

Answers

The amount of gas Berto can buy with $12 = 12/3.75 = 3.2 gallons.

Therefore the required ordered pair is (3.2, 12)

If gas costs $3.75 per gallon and Berto has $12, then he can purchase 12/3.75 gallons. This is approximately 3.2 gallons. So the coordinate on this line would be (3.2, 12). I hope that this is the answer that you were looking for and it has helped you.

Which Atom is bonded to carbon Adam in the functional group of a Keytone

Answers

Ketones are organic substances. Vanilla beans, cinnamon barks, lemon grass, camphor tree, musk deer, male and female hormones are common sources of ketones. To know that they are ketones, they have a carbonyl group. Oxygen is the atom that has a double bond with the carbon in the functional group.

What is the solution to the linear equation? 6k+10.5=3k+12