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Debora [2.8K]
3 years ago
9

Find mZ1 and mZ2 . I cant figure it out

Mathematics
1 answer:
Ede4ka [16]3 years ago
8 0

Answer:

∠ 1 = 110°, ∠ 2 = 70°

Step-by-step explanation:

∠ 1 and 110° are vertical angles and are congruent, thus

∠ 1 = 110°

∠ 1 and ∠ 2 are same- side interior angles and supplementary, sum to 180°

∠ 1 + ∠ 2 = 180°

110° + ∠ 2 = 180° ( subtract 110° from both sides )

∠ 2 = 70°

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kupik [55]

Answer:

A. 5

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3 years ago
Given: Angle 2 is 65 degrees. What is the angle measurement of Angle 4. Explain the angle relationship used and show your work.
lesya [120]

Answer:

\angle 4 = 115^{\circ}

\angle 3 = 65^{\circ}

\angle 7 = 65^{\circ}

Step-by-step explanation:

Given

\angle 2 = 65^{\circ}

See attachment

Solving (a): \angle 4

To solve for \angle 4, we make use of:

\angle 2 +\angle 4 = 180^{\circ}

The relationship between both angles is that they are complementary angles

Make \angle 4 the subject

\angle 4 = 180^{\circ} - \angle 2

Substitute 65^{\circ} for \angle 2

\angle 4 = 180^{\circ} - 65^{\circ}

\angle 4 = 115^{\circ}

Solving (b): \angle 3

To solve for \angle 3, we make use of:

\angle 3 =\angle 2

The relationship between both angles is that they are complementary angles

\angle 3 = 65^{\circ}

Solving (c): \angle 7

To solve for \angle 7, we make use of:

\angle 7 = \angle 3

The relationship between both angles is that they are alternate exterior angles.

So:

\angle 7 = 65^{\circ}

7 0
2 years ago
Which best describes the relationship between the line that passes through the points (–6, –1) and (–11, 1) and the line that pa
yaroslaw [1]
The two are perpendicular to each other because the two slopes are negative reciprocals

(Y2 - Y1) / (X2 - X1)

First slope:
( 1 - (-1)) / (-11 - (-6))
2/-5

Second slope:
(-13 - (-8)) / (-5 - (-3))
-5/-2 or 5/2

You know when two aliens are perpendicular when you multiply the two slopes and get -1 as the product

-2/5 X 5/2 = -1

Thus the two lines are perpendicular to each other.
3 0
3 years ago
Read 2 more answers
Round 127.819 to the nearest tenth
jeka57 [31]
I'm pretty sure its 127.8
7 0
3 years ago
Read 2 more answers
Solve the systems of equation by graphing (Picture provided)
11Alexandr11 [23.1K]

Answer:

Option b

Step-by-step explanation:

The following system of linear equations is shown

x + y = 8\\2x + y = 3

These are two different slope lines.

We find the cut points of both lines with the axes.

x + y = 8

Cut with the x axis. (y = 0)

x = 8

Cut with the y axis. (x = 0)

y = 8

...................................................................

2x + y = 3

Cut with the x axis. (y = 0)

2x = 3\\x = 1.5

Cut with the y axis. (x = 0)

y = 3

The solution to this system will be a point for which it is fulfilled that:

x + y - 8 = 2x + y-3

In the image, different graphs with intersections are shown.

Locate among the options, one that shows the two lines of the system of equations according to their intersections with the x and y axes.

Option b is the only one that shows the graph of the lines

x + y = 8\\2x + y = 3

Then, The point of intersection of both lines in the graph is:

(-5, 13)

Therefore the solution of the system of equations is: (-5, 13)

You can verify this by replacing the point in the relationship

x + y - 8 = 2x + y-3\\\\(-5) +13 -8 = 2 (-5) +13 -3\\\\0 = 0

Equality is satisfied

Finally the answer is the option b

8 0
3 years ago
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