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zhenek [66]
3 years ago
15

If two parallel lines are cut by a transversal so the alternate interior angles are (congruent, supplementary, complementary), t

hen the lines are parallel.
Mathematics
2 answers:
Goryan [66]3 years ago
7 0

Answer:

if two parallel lines are cut by a transversal so that the alternate interior angles are <u>congruent,</u> then the lines are parallel.


OLEGan [10]3 years ago
5 0
If two parallel lines are cut by a transversal so that the alternate interior angles are congruent then the lines are parallel
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everyday Penelope jogs three laps around the playground to keep in shape the playground is rectangular with the width of 163 m a
Veronika [31]

Answer:

The total amount of meters in one lap is 966

Step-by-step explanation:

we know that

The total amount of meters in one lap is the same that the perimeter of the rectangular playground

so

The perimeter of the rectangular playground is equal to

P=2(L+W)

we have

L=320\ m\\W=163\ m

substitute

P=2(320+163)

P=966\ m

3 0
3 years ago
For the equation : y = 2x + 10. Write any two possible solutions in ordered form. (Hint: e.G ( 4, 18))
nalin [4]

Answer:

(0, 10)

and

(1, 12)

5 0
3 years ago
Read 2 more answers
I NEED HELP ASAP PLEASE!! I WILL AWARD BRAINLIEST
Irina-Kira [14]

9514 1404 393

Answer:

  • x ≥ 7
  • 54 -6m
  • y -x

Step-by-step explanation:

You have to realize that the absolute value function will change the sign of its argument only if that argument is negative.

108. |x -7| = x -7 . . . . . true for x-7≥0

  x ≥ 7 . . . . makes the statement true

__

1a. When m < 9, the value 6m is less than 54, so 6m-54 < 0. That means the absolute value function changes the sign of its argument:

  54 -6m . . . . . simplified form for m < 9

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1b. |y -x| = y -x . . . when y > x, the argument of the absolute value is positive

6 0
3 years ago
Whats the answer for this question
dezoksy [38]

Answer:

0.00939495805 about 0.01

Step-by-step explanation:

basically solving for arccos(8.5/9.9) in degrees, had to run through calculator

8 0
2 years ago
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when a pen is sold at a discount of 15%, there is a gain of Rs 10. but if it is sold at 25% discount, there is a loss of Rs 2. f
LenaWriter [7]

Answer:

Rs 120.  

Step-by-step explanation:

10=0.85SP-CP; CP+10=0.85SP; SP=[CP+10]/0.85 Eq 1. Let SP= Selling Price and CP= Cost Price

-2 =0.75SP-CP; 0.75SP=C-2; SP=[CP-2]/0.75 Eq 2

[CP+10]/0.85=[CP-2]/0.75 : SP of Eq 1=SP of Eq 2

0.75[CP+10]=0.85[CP-2]

0.75CP+7.5=0.85CP-1.7

0.85CP-0.75CP=-1.7–7.5=9.2

0.10CP=9.2; CP=9.2/0.10

CP=Rs 92 Cost Price of pen

10=0.85SP-92; 0.85SP=92+10=102; SP=102/0.85=Rs 120 Marked Price of pen (answer)

From Eq2: -2=0.75SP-CP; 0.75SP=CP-2=92–2=90; SP=90/0.75=Rs120; -2=0.75(120)-CP; CP-2=0.75(120); CP-2=90; CP=90+2=Rs 92

Set CP of Eq 1=CP of Eq 2:

CP=0.85SP-10 from Eq 1; CP=0.75SP+2 from Eq 2;

0.85SP-10=0.75SP+2; 0.85SP-0.75SP=10+2=12

0.10SP=12; SP=12/0.10=Rs120 is the Marked Price(answer)

Normally, the Selling Price is the marked price. The seller will not disclose the Cost Price because it is the price when the item was acquired or procured, otherwise the buyer will ask for more discounts and based his buying price from the Cost Price if it is known. The calculated SP and CP satisfy both Eq 1 and Eq 2. Both Eq 1 and Eq 2 satisfy the given conditions of the problem above.

8 0
2 years ago
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