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NARA [144]
3 years ago
10

Given the diagram below, Hannah writes m 1+ m 4 = 180°, m 2 + m 5 = 180°, and m 3+ m 26 = 180°. Which of the following reasons a

llows her to write these sums?

Mathematics
1 answer:
Paladinen [302]3 years ago
4 0

Answer:

A. Definition of linear pair

Step-by-step explanation:

A linear pair of angles is formed when two lines intersect. Since angle on a straight line = 180°, angles of a linear pair sum up to 180°.

angles 1 and 4, angles 2 and 5, angles 3 and 6 are all linear pairs. Each pair = 180°.

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A boat rental shop has enough red boats for 20 people and blue boats for 16 people to ride. Each boat seats 4 people. How many b
Arte-miy333 [17]

The shop have 9 boats.

Step-by-step explanation:

Given,

People that can sit in red boats = 20 people

Number of people in each boat = 4 people

Therefore,

We will divide the total people that can sit in red boats with the number of people in each boat to find the number of red boats.

Number of red boats = \frac{20}{4}=5\ boats

People that can sit in blue boats = 16 people

We will divide the people that can sit in blue boats with the number of people in each boat to find the number of blue boats.

Number of blue boats = \frac{16}{4}=4\ boats

Total boats = Red boats + Blue boats

Total boats = 5+4 = 9

The shop have 9 boats.

Keywords: division, addition

Learn more about division at:

  • brainly.com/question/8806598
  • brainly.com/question/8805387

#LearnwithBrainly

5 0
3 years ago
Select the correct answer. A line t runs upward to the right through two parallel horizontal lines r and s, forming 8 angles num
grigory [225]

The the next step in the proof is D. Statement: ∠7 ≅ ∠6 and ∠8 ≅ ∠5 Reason: Vertical Angles Theorem.

<h3>How to illustrate the angle?</h3>

It should be noted that vertical angles are the angles that are opposite each other when the two line cross.

In this case, 7 ≅ ∠6 and ∠8 ≅ ∠5 Reason: Vertical Angles Theorem.

In conclusion, the correct option is D.

Learn more about vertical angles on:

brainly.com/question/8935275

#SPJ1

7 0
2 years ago
Plz i need help i don't get this one
Zinaida [17]

Answer:

d = 16.3 ft

Step-by-step explanation:

This is a right triangle, so we can use the Pythagorean theorem

a^2 +b^2 = c^2

where a and b are the legs and c is the hypotenuse

d^2 + 24^2 = 29^2  where d is the distance

d^2 +576 = 841

Subtract 576 from each side

d^2 +576-576 = 841-576

d^2 =265

Take the square root of each side

sqrt(d^2) = sqrt(265)

d = sqrt(265)

d =16.2788206

To the nearest tenth

d = 16.3 ft

8 0
3 years ago
What is the following quotient? sqrt6+sqrt11/sqrt5+sqrt3​
Gnoma [55]

Answer:

√30-√18+√55-√33/2

Step-by-step explanation:

What is the following quotient? sqrt6+sqrt11/sqrt5+sqrt3​

Given the expression

√6+√11/√5+√3

Rationalize

√6+√11/√5+√3 × √5-√3/√5-√3

= √30-√18+√55-√33/√25-√9

= √30-√18+√55-√33 /5-3

= √30-√18+√55-√33/2

This gives the required quotient

6 0
3 years ago
What is 3/5 written as a decimal?<br><br> a 0.12<br> b 0.3<br> c 0.6<br> d 1.67
horsena [70]

Answer: 0.6 so c

Step-by-step explanation:

7 0
3 years ago
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