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inessss [21]
3 years ago
12

What is the measure of angle TQR?

Mathematics
2 answers:
aleksandrvk [35]3 years ago
8 0
Angle TQR equals to 70 degrees

First you have to find the value of x. An inscribed quadrilateral in a circle has it that opposite angles are supplementary.

So set the angles STQ and SRQ to 180.

3x+5+5x+15=180
8x+20=180
8x=160
x=20

Then find the angles of the three by substituting 20 as x.

Angle STQ=65
3(20)+5
60+5
65

Angle RST=110
4(20)+30
80+30
110

Angle SRQ=115
5(20)+15
100+15
115

Exterior angles of a quadrilateral equal to 360 when added together. So subtract the values from 360 to get the missing length.

360-115-110-65=70

So angle TQR=70
Blizzard [7]3 years ago
3 0

Answer:jjjjj

Step-by-step explanation:

jjjjj

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Identify an equation in point-slope form for the line perpendicular to
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Answer:

y - 9 = \frac{1}{2}(x +3)

Step-by-step explanation:

Given

Function; y = -2x + 8

Required

Find an equation perpendicular to the given function if it passes through (-3,9)

First, we need to determine the slope of:  y = -2x + 8

The slope intercept of an equation is in form;

y = mx + b

<em>Where m represent the slope</em>

Comparing  y = m_1x + b to y = -2x + 8;

We'll have that

m_1 = -2

Going from there; we need to calculate the slope of the parallel line

The condition for parallel line is;

m_1 * m_2 = -1

Substitute m_1 = -2

(-2) * m_2 = -1

Divide both sides by -2

m_2 =\frac{ -1}{-2}

m_2 =\frac{1}{2}

The point slope form of a line is;

y - y_1 = m_2(x - x_1)

Where (x_1,y_1) = (-3,9) and m_2 =\frac{1}{2}

y - y_1 = m_2(x - x_1)becomes

y - 9 = \frac{1}{2}(x - (-3))

Open the inner bracket

y - 9 = \frac{1}{2}(x +3)

<em>Hence, the point slope form of the perpendicular line is: </em>

<em />y - 9 = \frac{1}{2}(x +3)<em />

3 0
3 years ago
The sum of two numbers is 20. One number is 4 less than the other. Find the numbers
exis [7]

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Step-by-step explanation: 8 is 4 less than 12 and 12 and 8 equals 20

6 0
2 years ago
What is the value of k(-3) when k(t) = -|4t|
Fantom [35]

Answer:

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Step-by-step explanation:

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Sati [7]
The best thing to do is to find 10%, and you can do this by dividing $270 by 10, and therefore, $27 is equal to 10%. To find 40%, you've got to multiply $27 by 4, and this gives you $108. Therefore, gabriel saved $108 last month :)
4 0
3 years ago
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What is the unknown angle measure in the triangle?
Black_prince [1.1K]
180 degrees in a triangle therefore you will subtract 54 and 79 from 180 which then gives you the answer --47--
do you understand how to do it now ?
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