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Anna71 [15]
2 years ago
13

The following figure is not drawn to scale.

Mathematics
2 answers:
erik [133]2 years ago
7 0

Answer:

The triangle angle rule says that all of the angles in a triangle will add up to equal 180. So to find x we subtract the given angles ( 45 and 60 in this case) from 180.

x = 180-60-45

180-60-45=75

so x = 75

To find y we know that angle x and and y are angles formed on a straight line that are split up by a triangle segment. These angles are called supplementary angles which add up to equal 180.

So knowing that angle x = 75 we can find angle y by subtracting 75 from 180

180-75=105 so y = 105

Another way we could solve for y is the exterior triangle rule

This rule states that an exterior angle of a triangle is equal to the two opposite interior angles

so y = 45 + 65

45 + 65=105

so y = 105

Step-by-step explanation:

Salsk061 [2.6K]2 years ago
6 0

Answer:

The triangle angle rule says that all of the angles in a triangle will add up to equal 180. So to find x we subtract the given angles from 180.

x = 180-60-45

180-60-45=75

so x = 75

To find y we know that angle x and y are angles formed on a straight line that is split up by a triangle segment. These angles are called supplementary angles which add up to equal 180.

So knowing that angle x = 75 we can find angle y by subtracting 75 from 180

180-75=105 so y = 180

Another way we could solve for y is the exterior triangle rule

This rule states that an exterior angle of a triangle is equal to the two opposite interior angles

so y = 45 + 65

45 + 65=105 so y = 105

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The graph shows the distance Arlene ran on Saturday preparing for a marathon. What is the rate of change and what does it repres
andreev551 [17]

Answer:

Rate of change = 6 miles per hour

Step-by-step explanation:

Rate of change of the line is represented by the slope of the line.

Formula to get the rate of change is,

m = \frac{\triangle y}{\triangle x}

From the graph attached,

Given straight line is passing through two points (2, 12) and (4, 24).

Rate of change = \frac{y_2-y_2}{x_2-x_1}

                          = \frac{24-12}{4-2}

                          = 6

Rate of change of the line = 6 miles per hour

Therefore, rate of change of the graph will define the speed of Arlene.

3 0
2 years ago
Which of the following is a rational number? (4 points)
abruzzese [7]

Step-by-step explanation:

square root 15 = irrational

square root 16 = 4 = rational

square root 21 = irrational

square root 22 = irrational

8 0
3 years ago
Read 2 more answers
Can someone please help mee (will give brainliest 20 points!!!)
Mice21 [21]

  [a] x = 175 - 7.5p

For a, we are isolating the x variable to one side of the equation.

        0.4x + 3p = 70

        0.4x = - 3p + 70

        x =  - 7.5p + 175

  [b] x = 115

For b, we are solving for x when p = 8.

        x =  - 7.5p + 175

        x =  - 7.5(8) + 175

        x = 115

7 0
2 years ago
What is .13 repeating as a fraction
vampirchik [111]
13/100 would be it because you divide it over 100
5 0
3 years ago
Parisian sewer #1 contains 9 fewer gigantic rats—rats as big as cats, some might say—than parisian sewer #2. parisian sewer #2 c
Leya [2.2K]

There are different kinds of math problem. There will be 11 rats in sewer #1.

<h3>What are word problem?</h3>

The term  word problems is known to be problems that are associated with a story, math, etc. They are known to often vary in terms of technicality.

Lets take

sewer #1 = a

sewer #2 = b

sewer #3 = c

Note that   A=B-9

So then you would have:

A=B-9

B=C- 5

A+B+C=56

Then you have to do a substitution so as to find C:

(B- 9) + (C-5) + C = 56

{ (C- 5)-9} + (C-5) + C = 56

3C - 19 = 56

3C = 75

B = C- 5

B = 25 - 5

Therefore, B = 20

A = B - 9

= 25 - 9

=11

Therefore, there are are 11 rats in sewer #1

Learn more about  Word Problems from

brainly.com/question/21405634

8 0
2 years ago
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