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Julli [10]
3 years ago
14

Given: m∠MEJ=16°, Measurement of Arc MJ =5 * Measurement of Arc KL, Find: Measurement of Arc KL

Mathematics
1 answer:
Softa [21]3 years ago
5 0

Answer:

The measurement of arc KL is 8\°

Step-by-step explanation:

Let

x--------> the measure of arc KL

y-------> the measure of arc MJ

we know that

The measurement of the outer angle is the semi-difference of the arcs it encompasses.

so

m

we have

m

y=5x

substitute the given value

16\°=\frac{1}{2}(5x-x)

32\°=(4x)

x=8\°

therefore

The measurement of arc KL is 8\°

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Solve each equation. Record your work and check your solution. <br> a. 5(x-2)+(-9)= -7(1-x)
Daniel [21]

The solution for equation is x = -6

<em><u>Solution:</u></em>

<em><u>Given equation is:</u></em>

5(x-2) + (-9) = -7(1-x)

We have to solve the equation

According to Bodmas rule, if an expression contains brackets ((), {}, []) we have to first solve or simplify the bracket followed by of (powers and roots etc.), then division, multiplication, addition and subtraction from left to right

Therefore, solve for brackets in given equation

5(x-2) + (-9) = -7(1-x)\\\\5x - 10 -9 = -7 + 7x

Solve for terms in left hand side of equation

5x - 19 = -7+7x

Move the variables to one side and constants to other side

7x -5x = -19+7\\\\2x = -12\\\\Divide\ both\ sides\ by\ 2\\\\x = -6

Thus the solution for equation is x = -6

8 0
2 years ago
What is the equation of the line that passes through the point (4,7) and has a slope of o?
Svetlanka [38]

Answer:

The equation of the line that passes through the point (4,7) and has a slope of 0 will be:

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Step-by-step explanation:

As we know the equation of a line in a slope-intercept form of an equation is

y = mx + b

Here,

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so

substituting the point (4,7) and slope m=0

y = mx + b

7=0(4)+b

7=0+b

b=7

Therefore, the equation of the line that passes through the point (4,7) and has a slope of 0 will be:

y = mx + b

y=0x+7

y=7

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3 years ago
the length of a rectangle is 6.7 cm more than 2 times the width. If the perimeter of the rectangle is 57.2 cm, what are its dime
ss7ja [257]
57.2-6.7-6.7=43.8
43.8÷6=7.3
7.3×2+6.7=21.3
length = 21.3cm
width = 7.3cm
(21.3×2)+(7.3×2) = 57.2
hope that helps
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3 years ago
Determine the domain of the following graph
sp2606 [1]

Answer:

[-9,3]

Step-by-step explanation:

The domain is all x-values or inputs of a function from left to right is -9 to + 3

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2 years ago
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yKpoI14uk [10]
I dont know but i think either B or A
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