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mario62 [17]
3 years ago
5

Find The value of x, y and z​

Mathematics
1 answer:
Ratling [72]3 years ago
5 0

Answer:

x = 18 ; y = 10 ; z = 102°

Step-by-step explanation:

The triangle in the pic is an isosceles triangle.

As it is an isosceles triangle , it's two sides will be equal .

=  > 3x - 42 = 12

=  > 3x = 42 + 12 = 54

=  > x = \frac{54}{3}  = 18

Also, both the base angles will be equal.

4y - 1 = 39

=  > 4y = 39 + 1 = 40

=  > y =  \frac{40}{4}  = 10

According to angle sum property of a triangle , sum of measure of all the angles of a triangle is equal to 180°. So,

z + 39 + 39 = 180

=  > z + 78 = 180

=  > z = 180 - 78 = 102

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Answer:

x = \frac{12-y}{4k+5}

Step-by-step explanation:

12-5x-4kx=y

1. Subtract 12 from both sides.

2.Distrubutive property (factor) a(b+c)=ab+ac

x(-5-4k)=y-12

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3 years ago
A bike rental company charges a fee per hour. The charge, in dollars, is the same each hour. The ordered pairs (3, 13.50) and (5
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If the function is y = 4.5x. Then the rate of change of the function expressed as a unit rate will be 4.5.

<h3>What is the linear system?</h3>

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

A bike rental company charges a fee per hour.

The charge, in dollars, is the same each hour.

The ordered pairs (3, 13.50) and (5, 22.50) represent the corresponding hours, x, and cost, y.

Then the linear equation is given as

\begin{aligned} \rm  y - 22.5 &= \rm \dfrac{22.5 - 13.5}{5 - 3} (x-  5)\\\\\rm y - 22.5 &= \rm 4.5x - 22.5\\\\\rm y &= \rm 4.5x \end

Then the rate of change of the function expressed as a unit rate will be

\rm \dfrac{dy}{dx}  = \dfrac{d}{dx} (4.5x )\\\\\dfrac{dy}{dx}  = 4.5

More about the linear system link is given below.

brainly.com/question/20379472

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2 years ago
A survey finds that 55 people out of 170 favor increasing property taxes to help pay for a new library. If this data is used to
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Answer: B. 0.036

Step-by-step explanation:

Formula for standard error :

SE=\sqrt{\dfrac{p(1-p)}{n}}

, where p = Population proportion and n= sample size.

Let p be the population proportion of the people who favor new taxes.

As per given , we have

n= 170

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Substitute these values in the formula, we get

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∴ The correct answer is OPTION B. 0.036

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3 years ago
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