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kirill115 [55]
3 years ago
11

What is the value of LM?

Mathematics
1 answer:
horsena [70]3 years ago
6 0

Answer:

Lm = 30

Step-by-step explanation:

QP/LM = PN/NL

(x - 1)/(x + 3) = 12/18

18(x - 1) = 12(x + 3)

18x - 18 = 12x + 36

18x - 12x = 36 + 18

2x = 54

x = 54 : 2

x = 27

LM = x + 3 = 27 + 3 = 30

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Find the value of t (s(5))​
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Answer and Step-by-step explanation:

We are given a <u>composite function</u>, which are functions inside of functions.

When solving composite functions, we solve the function on the inside first, then the function on the outside.

s(5) = s(x)

x = 5

<u>Plug 5 into the function s(x)</u>

= 2(5) + 1

= 11

<u>Now we plug 11 in for x for the function t(x).</u>

= -2(11)^2+2

= -2(121) + 2

= -242 + 2

= -240

<u>So, the answer to t(s(5) is -240.</u>

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6 0
3 years ago
Let A(t)A(t) be the area of a circle with radius r(t)r(t), at time tt in min. Suppose the radius is changing at the rate of drdt
torisob [31]

Answer:

At a point when r = 6 ft

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Step-by-step explanation:

Area of a circle, A = πr²

A = πr²

(dA/dt) = (dA/dr) × (dr/dt)

(dA/dr) = 2πr, (dr/dt) = 3

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6 0
3 years ago
Segment CW is congruent to segment MQ
Fiesta28 [93]

Answer:

The true congruence statement is CW ≅ MQ ⇒ 2nd answer

Step-by-step explanation:

All the radii in the circle are congruent

From the attached figure

In circle B

∵ W, C, Q, and M lie on the edge of the circle

∴ BW, BC, BQ, and BM are radii

∵ All the radii in the circle are congruent

∴ BW ≅ BC ≅ BQ ≅ BM

∵ CW ≅ MQ ⇒ Given

∴ The true congruence statement is CW ≅ MQ

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Answer:

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