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3 years ago

When a transversal is perpendicular to two parallel lines, all the angles formed measure 90°. Explain why.

1 answer:

5 0

When two parallel lines are cut by a transversal, due to the natures of the different relationships among the angles, all of them will be either equal to the measure of the first angle or equal to that angle subtracted from 180. If the transversal is perpendicular to the parallel lines, forms a right angle, then both the angle given and the angle subtracted from 180 will be 90. This means all of the angles will be 90.

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The triangular numbers are defined by the recursive formula t1 = 1, tn = tn - 1 + n, where n ∈N and n > 1. What are the first

GalinKa [24]

ANSWER

C) 1, 3, 6, 10, 15, 21, 28, 36, 45

EXPLANATION

The recursive formula is,

$t_1=1,t_n=t_{n-1}+n$

when n is a natural number greater than 1.

When n=2,

$t_2=t_{2-1}+2$

$t_2=t_{1}+2 = 1 + 2 = 3$

when n=3,

$t_3=t_{2}+2 = 3 + 3= 6$

when t=4,

$t_4=t_{3}+2 = 6+ 4= 10$

When t=5,

$t_5=t_{4}+5 = 10 + 5 = 15$

when t=6,.

$t_6=t_{5}+6 = 15 + 6 = 21$

when t=7

$t_7=t_{6}+7 = 21 + 7 = 28$

When t=8,

$t_8=t_{7}+8 = 28 + 8 = 36$

When t=9,

$t_9=t_{8}+9 = 36 + 9 = 45$

Hence the first nine triangular number are

C) 1, 3, 6, 10, 15, 21, 28, 36, 45

3 0

2 years ago

The average cost of driving a medium sedan in 2012 was 0.62 per mile. How much would it have cost to drive such a car 11,000 mil

azamat

Answer:

6,820 dollars

Step-by-step explanation:

multiple 0.62 times 11,000

8 0

2 years ago

Which statements are correct interpretations of this graph?

kupik [55]

Answer:

B. 3 pages are edited every five minutes

D. 6/10 of a page is edited per minute

Step by step:

Three pages are done at an interval of five minutes.

Six tenths of a page is done every minute

0.6 * 5 = 3 per five minutes

The other statements are false.

12/3 = 4, four done every minute, really?

5 pages are edited every three minutes.

This would disprove statement B.

And does not align with the graph.

Hope this helps.

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2 years ago

2x^2 -19x + 35 =0<br> Factor

nignag [31]

Answer:

Step-by-step explanation:

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3 years ago

The angles shown are complementary angles. The measure of angle 1 is (14x-21) degrees and the measure of angle 2 is (4x+75)

Anni [7]

Answer:

A complementary angle is an angle that adds up to 90 degrees. supplementary angles add up to 180 degrees. So a supplementary angle lies on a single, straight line, and a complementary angle is a right angle.

Step-by-step explanation:

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3 years ago