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lubasha [3.4K]
2 years ago
5

Length of QM=???????

Mathematics
1 answer:
pogonyaev2 years ago
6 0

Answer:

QM = 7 cm

Step-by-step explanation:

Tangents to a circle from an external point are congruent.

The perimeter (P) is the sum of the sides of the triangle, that is

PL + LQ + QM + MR + RN + NP = 42

6 + LQ + QM + 8 + 8 + 6 = 42

LQ + QM + 28 = 42 ( subtract 28 from both sides )

LQ + QM = 14

Since LQ = QM , then

QM = 7

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Zielflug [23.3K]
Your awnser is 120 if I’m wrong please tell me and I’ll help you again
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2 years ago
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If f(x) is a linear function, f(−2)=4, and f(1)=−1, find an equation for f(x)
juin [17]

Answer:

y = -\frac{5}{3}x+\frac{2}{3}

Step-by-step explanation:

Given

f(-2) = 4

f(1) = -1

Required

The equation of the function

The given parameters means that:

(x_1,y_1) = (-2,4)

(x_2,y_2) = (1,-1)

Calculate the slope (m)

m = \frac{y_2 -y_1}{x_2 -x_1}

m = \frac{-1-4}{1--2}

m = \frac{-5}{3}

The equation is then calculated using:

y = m(x - x_1) + y_1

This gives:

y =\frac{-5}{3}(x--2)+4

y =\frac{-5}{3}(x+2)+4

Open bracket

y = -\frac{5}{3}x-\frac{10}{3}+4

Take LCM

y = -\frac{5}{3}x+\frac{-10+12}{3}

y = -\frac{5}{3}x+\frac{2}{3}

6 0
3 years ago
Easy car rental charges 8.50$ and hour plus a rental free of 25.50$ write an expression <br>,​
Maksim231197 [3]

Answer: y=8.5x + 25.5

Step-by-step explanation:

y=mx+b

b= beginning number so thats

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3 0
3 years ago
4(x-6)&lt;-2x+6 what is the solution to the inequality <br> _
Cloud [144]
Simplify both sides if needed. The left-hand side needs simplification.

4(x - 6) \leq -2x + 6
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All is left to do is add and subtract to get the x variable all alone.

4x - 24  \leq -2x + 6
6x - 24  \leq  6    <-- Add 2x to both sides
6x         \leq  30  <-- Add 24 to both sides 
x           \leq 5    <-- Divide both sides by 6

In order to be in the solution set, x has to be less than or equal to 5.

In interval notation: [5, -∞)
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2 years ago
You are in talks to settle a potential lawsuit. The defendant has offered to make annual payments of $15,000, $25,000, $40,000,
Sphinxa [80]

Answer:

All payments will be made at the end of the year by using the present value of inflows

Step-by-step explanation:

Present Value Of Inflows = Cash Inflow × Present Value Of Discounting Factor (Rate%,Time Period)

Present Value Of Inflows = 15000/1.037 + 25000/1.037^{2} + 40000/1.037^{3} + 60000/1.037^{4}

Present Value Of Inflows = 125466.3

8 0
3 years ago
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