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oksano4ka [1.4K]
3 years ago
11

Find the unknown angle measure by solving for the given variable.Supplementary angles​

Mathematics
1 answer:
likoan [24]3 years ago
3 0

Step-by-step explanation:

Given that,

∠PSQ = 13x+7

∠QSR = 42x+8

We need to find the measure of angles.

We can use the property of linear pair. ATQ,

13x+7 + 42x+8 = 180 (Linear pair)

Taking like terms,

13x+42x = 180 - 7-8

55x = 165

x = 3

So,

∠PSQ = 13x+7 = 13(3) + 7 = 46°

∠QSR = 42x+8 = 42(3) + 8 = 134°

Hence, this is the required solution.

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The circumference of the target above is 6,895.4400000000 mm.
Sergio039 [100]

Diameter of the target is 2196 mm

Step-by-step explanation:

We are given Circumference of target = 6,895.4400000000 mm.

We need to find the diameter of target.

The formula used is:

C= 2\pi r

Putting values:

C=2\pi r\\6,895.4400000000=2*3.14*r\\6,895.4400000000=6.28*r\\r=\frac{6,895.4400000000}{6.28} \\r=1098\,\,mm \\

We know that Diameter = 2*radius

So, Finding Diameter:

Diameter = 2*radius\\Diameter = 2*1098\\Diameter = 2196\,\,mm

So, Diameter of the target is 2196 mm

Keywords: Circumference

Learn more about Circumference at:

  • brainly.com/question/12905000
  • brainly.com/question/8929610
  • brainly.com/question/5998244

#learnwithBrainly

4 0
3 years ago
How do i solve 4x - 2y = 22 and 2x + 4y = 6 using substitution and elimination?
Fiesta28 [93]

substitution and elimination means that you need to use one equation and substitute it in place of some variable in the other equation.

Consider the above two equations.

Take equation 1, which is 4x-2y=22 => x=(22+2y)/4

substitute the x value gained above in equation 2.

so, 2((22+2y)/4)+4y=6

22+2y+8y=12 => 10y = -10 => y= -1.

Substitute y= -1 in x value obtained in the beginning.

So, x= (22 - 2)/4 => 5.

There fore, x= 5 and y= -1

Hope it helps.

5 0
3 years ago
Add 2 to 5, then multiply 3 by the result
Nostrana [21]

Answer:

21

Step-by-step explanation:

<em>Step 1: add 2 to 5</em>

=> 2 + 5

=> 7

<em>Step 2: Multiply the result by 3:</em>

=> 7 * 3

=> 21

Therefore the <u>final answer = 21</u>

Hope this helps!

7 0
3 years ago
Read 2 more answers
Writing an Equation from a Table
Anastasy [175]

The equation of the line will be y = 4x. Then the correct option is A.

<h3>What is the equation of line?</h3>

The equation of line is given as

y = mx + c

Where m is the slope and c is the y-intercept.

Writing an Equation from a Table

A 2-column table with 6 rows. Column 1 is labeled x with entries 8, 12, 16, 20, 24, 28. Column 2 is labeled y with entries 2, 3, 4, 5, 6, 7.

Then at (2, 8) and (3, 12), we have

y – 8 = [(12 – 8) / (3 – 2)] (x – 2)

y – 8 = 4x – 8

     y = 4x

Then the correct option is A.

More about the equation of line link is given below.

brainly.com/question/21511618

#SPJ1

7 0
2 years ago
What is the percent of 72 out of 96
marin [14]
72/96 * 100= 75% so the answer is 75%
4 0
3 years ago
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