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svetlana [45]
3 years ago
10

suppose the distance you travel to school is 5 miles what is the total distance for 197 trips from home to school

Mathematics
1 answer:
kicyunya [14]3 years ago
8 0
It would be 197 * 5 = 985miles
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rodikova [14]
The first option is the one!

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Theorem: The segment joining the midpoints of two sides of a triangle is parallel to the third side and half its length. A two-c
natali 33 [55]

Answer:  By the slope formula.

Step-by-step explanation:

Given: ABC is a triangle (shown below),

In which A≡(6,8), B≡(2,2) and C≡(8,4)

And, D and E are the mid points of the line segments AB and BC respectively.

Prove: DE║AC and DE = AC/2

Proof:

Since, And, D and E are the mid points of the line segments AB and BC respectively.

Therefore, By mid point theorem,

coordinate of D are (\frac{2+6}{2} , \frac{2+8}{2} ) = (\frac{8}{2} , \frac{10}{2} )= (4,5)

Coordinate of E are  (\frac{2+8}{2} , \frac{2+4}{2} ) = (\frac{10}{2} , \frac{6}{2} )= (5,3)

By the distance formula,

DE=\sqrt{(5-4)^2+(3-5)^2}=\sqrt{5}

AC=\sqrt{(8-6)^2+(4-8)^2}=2\sqrt{5}

By the slope formula,

Slope of AC = \frac{4-8}{8-6} = \frac{-4}{2} = -2

Slope of DE =  \frac{3-5}{5-4} = \frac{-2}{1} = -2


            Statement                                              Reason

1. The coordinate of D are (4,5)  and           1. By the midpoint formula

the coordinate of  E are (5,3)

2. The length of DE = √5                            2. By the Distance formula

The length AC = 2√5 ⇒ Segment DE

is half the length of segment AC

3. The slope of DE = -2 and the                3. By the slope formula

slope of AC = -2

4. DE║AC                                                   4. Slopes of parallel lines are equal


7 0
3 years ago
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Ms. Maxwell bought a purse with 1/4 of her money. The purse cost 37.00. How much money did Ms. Maxwell have left after she bough
bixtya [17]

Answer:111

the purse was 1/4 so. we have to do

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Step-by-step explanation:

7 0
2 years ago
Find each product (x+5)(x-5)
Alina [70]

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(x+5)(x-5)

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5 0
3 years ago
Example 3
chubhunter [2.5K]

Answer:

We conclude that

  • The angle ∠1 = x = 36°
  • The angle ∠2 = 4x = 4(36°) = 144°

Step-by-step explanation:

Given

<1 and <2 form a linear pair

m∠1 = 4m∠2

To determine

Find the measure of each of the two angles.

<u>Important Points about linear pair:</u>

  • We know that when two lines meet or intersect, we get a linear pair of angles.
  • Linear pairs are basically two adjacent angles that form a line.
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As

<1 and <2 form a linear pair

m∠1 = 4m∠2

In other words, angle 1 is 4 times the measure of angle ∠2.

Let the angle ∠1 be = x

As the angle 1 is 4 times the measure of angle ∠2, so

The angle 2 will be = 4x

As <1 and <2 forms a linear pair, thus the measure of the sum of <1 and <2 will be 180°, so

x + 4x = 180

5x = 180

divide both sides by 5

\frac{5x}{5}\:=\:\frac{180}{5}

\:x=36^{\circ }

Thus, we conclude that

  • The angle ∠1 = x = 36°
  • The angle ∠2 = 4x = 4(36°) = 144°
4 0
2 years ago
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