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Usimov [2.4K]
3 years ago
12

Given: Angle1 and Angle2 are complements,

Mathematics
2 answers:
Allushta [10]3 years ago
6 0

Answer:

Step-by-step explanation:

complementary angles =90 degrees

Angle 2+ angle 1 = 90 degrees

Angle 1 =35 degrees

Angle 2 = 90-35 = 45 degrees

Angle 2 + angle 3 = 90

Angle 3= 90-45 = 35 degrees ( proved)

I hope this help

Burka [1]3 years ago
3 0

Answer:

Given: Angle1 and Angle2 are complements,

Angle2 and Angle3 are complements, and mAngle1 = 35°.

Prove: mAngle3 = 35°

4 lines extend from a point and form 3 angles. The angles are labeled 1, 2, 3 from left to right.

Complete the missing parts of the paragraph proof.

By the  

✔ congruent complements theorem

, we know that angle 1 is congruent to angle 3. The measure of angle 1 equals the measure of angle 3 by the definition of  

✔ congruent

angles. Then, using the  

property

✔?

, the measure of angle 3 is  

✔ 35

degrees.

Step-by-step explanation:

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Steps:
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in a coordinate plane the midpoint of AB is (4,-3) and A has coordinate (1,5). if B has coordinate (x,y) find the value x+y​
Aloiza [94]

Answer:

Please check the explanation.

Step-by-step explanation:

The midpoint (a, b) of line joining points (x₁, y₁) and (x₂, y₂)

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b = y₁ + y₂ / 2

Given that the midpoint of AB is (4, -3).

i.e. (a, b) = (4, -3)

Given that A has coordinate (1, 5).

i.e. (x₁, y₁) = (1, 5)

We have to determine the coordinates of B.

i.e. (x₂, y₂) = B

Thus,

4 = (1 + x₂)/2

(1 + x₂) = 4 × 2

1 + x₂ = 8

x₂ = 7

and

-3 = (5 + y₂)/2

(5 + y₂) = -3 × 2

5 + y₂ = -6

y₂ = -11

so (x₂, y₂) = (7, -3) = B

Thus, the coordinates of B = (x₂, y₂)  = (7, -3)

Therefore,

x₂ + y₂ = 7 + (-3)

          = 7 - 3

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Hence, the value of x₂ + y₂ = 4

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