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Archy [21]
3 years ago
5

Use the figure to find the measures of the numbered angles. ∠1 = ∘ ∠2 = ∘

Mathematics
2 answers:
Nesterboy [21]3 years ago
6 0

Step-by-step explanation:

The given angle is 107°;

     Since the lines given are parallel and a transversal cuts them, angle 1 and 107° are corresponding angles.

Corresponding angles are equal;

 So, ∠1  = 107°;

Now, ∠1 and ∠2 are angles on a straight line;

       ∠1 + ∠2  = 180°

         107° + ∠2  = 180°

                    ∠2  = 180°  - 107°  = 73°

Wewaii [24]3 years ago
3 0

Answer: <1= 107      <2=73

Step-by-step explanation: Zigzag method for <1

<1+<2=180

180-<1=<2

180-107=73

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1. Solve the following equation. -5p = -75
aliya0001 [1]

Answer:

15

Step-by-step explanation:

-5 x 15 = -75

This is according to the rule -a ÷ a = -a and -a x a = -a. Where a negative divided/multiplied by a positive number equals a negative number.

-75 ÷ -5 = 15

-75 ÷ 15 = -5

6 0
3 years ago
When a group of colleagues discussed where their annual retreat should take​ place, they found that of all the​ colleagues: 17 w
Vilka [71]
To find the answer look for opinions where 1 person can't have multiple.

Add them all up and you'll get your answer, there are 33 total colleagues in the group.
7 0
3 years ago
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Of 60 students, 24 students have a pet. What is the ratio of students with pets to students without pets?
frosja888 [35]

Answer

Find out the what is the ratio of students with pets to students without pets .

To prove

As given

of 60 students, 24 students have a pet.

Thus Total number of student = 60

students have pets = 24

students without  pets = 60 - 24

                                 = 36

Now  ratio of students with pets to students without pets .

\frac{Student\ with\ pets}{Students\ without\ pets} = \frac{24}{36}

simplify the above

\frac{Student\ with\ pets}{Students\ without\ pets} = \frac{2}{3}

Therefore the  ratio of students with pets to students without pets be 2:3 .

Hence proved

4 0
3 years ago
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A car used 5 2/3 gallons of fuel on a 3 hour trip. How many gallons were used each hour?
mr_godi [17]

Answer:

2. 1 8/9 gallons

Step-by-step explanation:

5 2/3 divided by 3

5.66666667/3 = 1.88888889

.88888889 = 8/9

1 + 8/9 = 1 8/9

5 0
3 years ago
Claire has a hot tub with a diameter of 7 feet. She wants to purchase a cover to protect the hot tub. What is the area of the co
lara [203]

She needs to purchase a cover to protect the hot tub of an area of 38.5 square feet.

<h3>What is a circle?</h3>

It is a locus of a point drawn at an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

Claire has a hot tub with a diameter of 7 feet. She wants to purchase a cover to protect the hot tub.

The area of the circle is given by

\rm Area = \dfrac{\pi}{4}d^2

We have d = 7 ft, then the area of the circle will be

\rm Area = \dfrac{3.14}{4}*7^2\\\\Area = 38.5 \ ft^2

More about the circle link is given below.

brainly.com/question/11833983

5 0
2 years ago
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