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tankabanditka [31]
3 years ago
9

What is m∠PQR?

Mathematics
1 answer:
mixer [17]3 years ago
3 0

Answer: m∠PQR = 134°

Step-by-step explanation:

Given:  PS is line segment. Q is the point between segment PS. QR is another line segment passes through segment PS.

That means ∠PQR and ∠SQR are linear pair  [Linear pair is a pair of two angles made on one line and their sum is 180°]

⇒  ∠PQR +  ∠SQR  = 180°  (i)

Since, ∠PQR is (3x + 5)° and ∠ SQR is (x + 3)°   [given]

Put this in (i), we get

(3x + 5)° + (x + 3)° = 180°

⇒ 3x + 5 + x + 3 = 180

⇒ 4 x + 8 = 180

⇒ 4 x = 180-8

⇒ 4 x = 172

Divide both sides by 4

⇒  x= 43

So,  ∠PQR=  (3(43) + 5)° = 134°

Hence, m∠PQR = 134°

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Then you need to drop lines down on the graph to form right triangles and use Pythagorean Theorem.

The line of points -5,-1 and -2,3 measures 5 using Pythagorean theorem.

The line of points 6,-3 and -5,1 measures √125

The line of points 6,-3 and -2,3 measures 10 using Pythagorean theorem.

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3 years ago
The table represents the function f (x) = 3x-1
Ann [662]

Answer:

a=-16, b=11, c=23

Step-by-step explanation:

The function whose table is drawn is

f(x) = 3x - 1

To find the value of a, we substitute x=-5.

f( - 5) = 3( - 5)  - 1  \\ f( - 5) =  - 15 - 1 \\ f( - 5) =  - 16

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To find the value of b, we substitute x=4.

f(4) =3(4)  - 1  \\ f(4) = 12 - 1 \\ f(4) =  11

To find the value of c, we substitute x=8,

f(8) = 3(8) - 1 \\ f(8) = 24 - 1 \\ f(8) = 23

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bogdanovich [222]

Hello! :)

<h2>Answer:</h2>

All of the following statements about the cone are true.

2.) The radius is 9 mm.

3.) The base area is calculated using the radius.

4.) The volume is one-third the volume of a cylinder with the same height and diameter.

5.) The volume of the cone is 297 pi millimeters cubed.

<h2>Explanation:</h2>

The radius is always half the diameter, which is why the first choice is false, and the second choice is true.

When calculating the base, you need to use the radius. This means the third choice is true. The formula for the base area is πr^{2}

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2799.15669 ÷ 3 = 933.052233

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297 × π = 933.05223 This is true.

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