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vladimir1956 [14]
3 years ago
8

Write a paragraph proof of Theorem 3-8: In a plane, if two lines are perpendicular to the same

Mathematics
2 answers:
I am Lyosha [343]3 years ago
7 0

Answer: this theorem is true.

Step-by-step explanation: this theorem is in fact true. perpendicular lines mean one line cuts through another line and forms 90 degree angles. if two lines were to cut through the same line, then both lines would have to be parallel to each other considering the definition of perpendicular lines. for example in the picture both lines are completely horizontal making them form 90 degree angles. if these lines did not form 90 degree angles then they would not be perpendicular and at some point would cross paths. however they are straight meaning they will never touch, hence the parallel line definition.

Stells [14]3 years ago
6 0

Answer:

Check it out the paragraph below

Step-by-step explanation:

1) 1st Statement: 1) \:Given: r\perp\: s,\: t\perp s\\ Reason: Given 2) 2nd Statement: \angle 4 \:and\: \angle 8\:are\:right\:angles Reason: Lines are perpendicular when form right angles by meeting another line. 3) 3rd Statement: \measuredangle 4 =90^{\circ}\:and\:\measuredangle 8=90^{\circ} Reason: Definition of Right Angles. 4) 4th Statement: \measuredangle 4\cong \measuredangle 8 Reason: Congruent angles have the same angle measure. 5) 5th Statement: r\parallel s Reason: If their corresponding angles are congruent, then their lines are parallel. (Corresponding Angles Theorem).

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A store charges $280 for coat. This price is 40 percent more than the amount it cost the store to buy. At the end-of-season sale
NeX [460]
Let cost price be x
according to question
x + 40% of x = 280
x+ 0.4x=280
1.4x=280
x=200
this 200 is the store cost or cost price for store
30%of 200= 60
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cost for employee= 200-60= 140
7 0
3 years ago
Check all the equations that apply to meet the Segment Addition Postulate in segment PB. PO=7x+6, OB=3x+6 and PB=38 select all t
grandymaker [24]

Answer:

these two apply:

10x + 12 = 38 and

10x = 26

Step-by-step explanation:

7x+6+3x+6 = 38

10x + 12 = 38

10x = 26

x = 2.6

7 0
3 years ago
I need help on this question I don’t understand
mixas84 [53]

Answer:

x = 25

Step-by-step explanation:

Since these 2 angles are vertical angles, then they are both equal. Set up an equation and then solve it.

75 = 4x - 25

75 + 25 = 4x

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100/4 = 4x/4

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Hope this helps. Brainly will be highly appreciated.

3 0
2 years ago
A grapefruit is 8% heavier than an orange, and an apple is 10% lighter than the orange.
likoan [24]
Weight of an grapefruit=weight of an orange+8% weight of an orange
weight of an apple=weight of an orange -10% weight of an orange

a.<span>By what percentage is the grapefruit heavier than the apple?
We should find the connection between grapefruit and an apple. We know the connection between the weight of a grapefruit and an orange, we know the connection between an orange and an apple, so this means we know the connection between a grapefruit and an apple.
</span>
weight of an grapefruit=weight of an <span>orange+8% weight of an orange
</span>weight of an orange=weight of an apple<span> +10% weight of an apple
</span>
-> weight of an grapefruit=weight of an apple+10% weight of an apple + 8%(weight of an apple+10% weight of an apple)= weight of an apple + 18% weight of an apple + 2% weight of an apple= <span>weight of an apple + 20% weight of an apple 

</span><span>b.By what percentage is the apple lighter than the grapefruit?
</span>weight of an grapefruit=weight of an apple + 20% weight of an apple<span> 
</span>
-> The apple ts 20% lighter than the grapefruit.
8 0
3 years ago
Read 2 more answers
12 inches increased by 36
crimeas [40]
12 + 36 = 48

your answer is 48 inch

hope this helps
7 0
2 years ago
Read 2 more answers
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