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Fynjy0 [20]
3 years ago
10

1. Find the value of x in the figure below. Show all steps. (Left)

Mathematics
2 answers:
timofeeve [1]3 years ago
5 0
I hope this helps you

Colt1911 [192]3 years ago
4 0

Answer:

1). x = 43

2). x = 15

Step-by-step explanation:

1. By the theorem of secants and intercepted arcs,

angle inscribed by the secant and tangent = \frac{1}{2}(\text{Difference of arcs}

52 = \frac{1}{2}(190-2x)

52×2 = (190 - 2x)

- 2x = 104 - 190

- 2x = - 86°

x = \frac{86}{2}=43

2. By the theorem of two intersecting chords inside a circle,

(5x - 6) = \frac{1}{2}(101+37)

5x - 6 = \frac{138}{2}=69

5x = 69 + 6

5x = 75

x = \frac{75}{5}

x = 15

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Write the equation of the line given the slope and a point through the line passes
Anuta_ua [19.1K]

Answer:

1.) Y = 5/3 X + 4

2.) Y = 9/4 X - 27/4

Step-by-step explanation:

Given the slope and the coordinate, linear equation of a line can be expressed by using general linear equation. Which is

Y = MX + C

Where the

Slope M = 5/3

Coordinate = (-3,-1) in which

X = -3, Y = -1

Substitute X, Y and M into the general linear equation to achieve C

-1 = 5/3(-3) + C

-1 = - 5 + C

C = 5 - 1

C = 4

Substitute C and M back into the general linear equation.

Therefore, the equation of the line given the slope and a point through the line passes 5/3, and (-3,-1) to be

Y = 5/3 X + 4

2.) Also,

Slope M = 9/4

Coordinate = (3,0) where X = 3, Y = 0

Substitute X, Y and M into the general linear equation to obtain C

0 = 9/4 (3) + C

C = - 27/4

Substitutes C and M back into the general linear equation

Therefore, the equation of the line given the slope and a point through the line passes 9/4 and (3,0)

Y = 9/4 X - 27/4

4 0
3 years ago
What is the reason for number 4 and 5?
Fiesta28 [93]

Answer:

4. QT and RT are 2 sides of an equilateral triangle.

5.  Congruent by SAS

Step-by-step explanation:

All sides of an equilateral triangle are equal in length.

3 0
3 years ago
I need help doing this can somebody please help?! It’s number 2.
stepladder [879]
Yes, if you solve both problems they come out to the same answer.
3 0
3 years ago
Find the exact value by using a half-angle identity. . cos(5π/12).
vodka [1.7K]
<span>First of all in order to find the exact value by using a half angle identity we will do
cos(5π divided by 12)

=cos (5π divided by 6) divided by 2
= ± Under root[(1+cos (5π divided by 6) divided by 2]
Now we will consider + sign because 5π divided by 12 is in quadrant. where cos>0
so the solution is [(1- Under root 3 divided by 2) divided by 2] 
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I hope it helped.</span>
6 0
3 years ago
8^-3x^7y^-11/5x^-19y^17z^-14. Simplify
bazaltina [42]
Y^2/2560x^12z^14........................................

7 0
3 years ago
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