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allochka39001 [22]
3 years ago
5

Oak Street and Elm Street run parallel to each other. When Main Street

Mathematics
2 answers:
kozerog [31]3 years ago
8 0

Answer:

110°

Step-by-step explanation:

The consecutive interior angles theorem states that when two parallel lines are cut by a transversal, the pair of angles formed which lie inside the parallel lines  on the same side of the transversal are known as consecutive interior angles. This consecutive interior angles are supplementary (that is add up to 180°).

Therefore:

∠4 and ∠6 are consecutive interior angles. Hence:

∠4 + ∠6 = 180° (sum of co-interior angles)

∠4 + 70 = 180

∠4 = 180 - 70

∠4 = 110°

lidiya [134]3 years ago
3 0

Answer:

110°

Step-by-step explanation:

a p e x

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In the similar quadrilaterals below, what angle corresponds to ∠C
Dennis_Churaev [7]

Answer:

angle G

Step-by-step explanation:

the quadrilateral did not change position or ration, it only shrank, so all the angles are in the same place and angle C = angle G

4 0
2 years ago
The sum of three consecutive integers is -78. determine the smallest integer.
sweet [91]
Lets x is the 1st consecutive even integers
      x +2 :the 2nd consecutive even integers
      x +4: the 3rd consecutive even integers

So sum of all 3 equals -78 then
x + (x+2) + (x+4) = -78
x + x + 2 + x + 4 = -78
Simplify
3x + 6 = -78
Subtract (-6) to both sides
3x +6 -6 = -78 - 6
Simplify
3x = -84
Divided both sides by 3
3x/3 = -84/3

x = -28
x + 2 =  -28 + 2 = -26
x +4 = - 28 + 4 = -24

Double check: -28 + -26 + -24 = -78

So the three consecutive even integers are: -24, -26, -28

The smallest integer would be -28
4 0
4 years ago
The sum of 2 numbers is 35. One number is 17 more than the other. What are the numbers?
Luba_88 [7]

Answer:

The numbers are 9 and 26

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2 years ago
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[PICTURE ATTACHED] i could do this. but im too lazy too :’)
Nostrana [21]
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