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anastassius [24]
2 years ago
7

Find the measure of each acute angle in the figure.

Mathematics
1 answer:
Artist 52 [7]2 years ago
4 0

Answer:

Angle 1 = 46°

Angle 2 = 44°

Step-by-step explanation:

Given:

Angle 1 = (4x - 2)°

Angle 2 = (3x + 8)°

Angle 3 = 90°

Find:

All acute angle

Computation:

Using angle sum property

Angle 1 + Angle 1 + Angle 1 = 180°

(4x - 2)° + (3x + 8)° + 90° = 180°

7x + 6 = 90

7x = 84

x = 12°

So,

Angle 1 = (4x - 2)° = 4(12) - 2 = 46°

Angle 2 = (3x + 8)° = 3(12) + 8 = 44°

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saveliy_v [14]

Ricky jogged 6 miles on tuesday and 6 miles on friday

<em><u>Solution:</u></em>

Given that,

Rick jogged the same distance on tuesday and friday

Let "x" be the distance jooged on each tuesday and friday

He also jogged for 8 miles on sunday

Total of 20 miles for the week

Therefore, we frame a equation as,

total distance jogged = miles jogged on tuesday + miles jogged on friday + miles jogged on sunday

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20 = 2x + 8

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3 0
2 years ago
Question 4 (Essay Worth 10 points)
Stella [2.4K]

Given

The attached graph

Part A: Is the graph linear or nonlinear

The attached graph has 3 different straight lines, all of which point to different directions. For a graph to be linear, such graph must have just 1 straight line. This means that the graph is nonlinear.

The attached graph is a nonlinear graph

Part B:

<u>(i) The increasing segment</u>

This is the segment that points in the upward direction.

In the attached graph, line segment A [i.e. from (0,0) to (2,16)] represents an upward movement of the ant.

Line segment A is the increasing segment

<u />

<u>(ii) The decreasing segment</u>

This is the segment that points in the downward direction.

In the attached graph, line segment C [i.e. from (4,16) to (6,0)] represents a downward movement of the ant.

Line segment C is the decreasing segment

<u>(ii) The constant segment</u>

This segment is represented by a vertical or a horizontal line.

In the attached graph, line segment B [i.e from (2,16) to (4,16)] represents a horizontal line.

Line segment B is the constant segment

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7 0
3 years ago
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nikklg [1K]
Ф =5π/6
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Given that here π/2 < Ф < π, the angle is in the second quadrant.

In the second quadrant the signs are:

sine positive
cosine negative
tangent negative.

Furthermore, the reference angle is π - Ф = π - 5π/6 = π/6.

Then,

sin Ф = sin π/6 = 1/2
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Answer:

Step-by-step explanation: do you have a graph?

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OLga [1]

Answer: B. 2/5

:} I really do hope I'm right!

Step-by-step explanation:

5p

1b

4pl

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Since there is 4 purple bows the probability Nerissa will chose a purple bow is 40/100

Simplified <u>2/5</u>

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