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Dafna1 [17]
3 years ago
11

A) Using theorems pertaining to transverals and parallel lines, prove that m∠1 + m∠2 = 180o

Mathematics
1 answer:
PtichkaEL [24]3 years ago
5 0
A) Two parallel lines, intersecting a 3rd line (a traversal), indicates that two same-sided, internal angles MUST be SUPPLEMENTARY (sum, or add up to 180°).

b) Since <1 and <2 are supplementary, they add up to 180°. Therefore, <1 + <2 = 180:
(20x+5) + (24x-1) = 180
44x + 4 = 180
44x + 4 -4 = 180-4
44x = 176
44x/44 = 176/44
x = 4
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Write the recursive formula for -34, -38, -42, -46, -50 ...
Alex787 [66]

Answer:

-30 - 4n

Step-by-step explanation:

-34, -38, -42, -46, -50 ...

the sequence first term is -34

a= -34

Common difference (d) = T2 - T1 = T3 - T2

d = -38- -34 = -42 -  - 38 = -38+34

d = -4

Formula for nth term

Tn = a + (n-1)d

Tn = -34 + (n -1)-4

Tn = -34 -4n + 4

Tn = -30 - 4n

= -30 - 4n

I hope this was helpful, please mark as brainliest

8 0
3 years ago
Kate runs 2/3 of a mile on Mondays, Wednesday's and Thursdays. She runs 4/5 of a mile on Tuesday and Fridays. How many miles doe
padilas [110]

Answer:

Therefore, we conclute that Kate run 1 mile and 7/15 of a mile for the week.

Step-by-step explanation:

We know that Kate runs 2/3 of a mile on Mondays, Wednesdays and Thursdays. She runs 4/5 of a mile on Tuesday and Fridays. We calculate how many miles does Kate run during the week.  

Therefore, we get

\frac{2}{3}+\frac{4}{5}=\frac{10+12}{15}=\frac{22}{15}=1+\frac{7}{15}

Therefore, we conclute that Kate run 1 mile and 7/15 of a mile for the week.

8 0
2 years ago
Are these easyyyyyyyyyyyyyyyyyyyyyyyy
mixer [17]

Answer:

no

Step-by-step explanation:

no they are not they are hard

4 0
3 years ago
Enter an inequality that represents the phrase "the sum of 7 and y is less than 9."
Eddi Din [679]

Answer:

Inequality Form:

y<2

Interval Notation:

(−∞,2)

The answer your looking for is: y<2

7 0
2 years ago
If 3x + 11 = 4x - 5, what is x?
Andrew [12]

Answer:

16v

Step-by-step explanation:

3x + 11 = 4x - 5

11+5 = 4x -3x

x = 16

I hope im right!!

4 0
2 years ago
Read 2 more answers
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