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3 years ago

Add and/or Subtract the following, Simplify Completely

Mathematics

1 answer:

Margaret [11]3 years ago

3 0

First, we need to equalize the denominator. If the denominator multiplies by (x+1), so does the numerator. If the denominator multiplies by (x-1), so does the numerator.
Look into my attachment at the second row.

Second, because the first fraction and the second fraction have the same denominator, you can join them into one fraction.
Look into my attachment at the third row.

Third, simplify the numerator.
Look into my attachment at the fourth to the fifth row

Fourth, simplify the denominator.
Look into my attachment at the sixth to the seventh row.

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Write and solve an equation to find the value of x and the missing angle measures.

Oksana_A [137]

Answer:

Step-by-step explanation:

1). Since, both the angles are vertically opposite angles,

Measure of both the angles will be same.

6x = 30

x = 5

2). Since, both the angles are the linear pair of angles,

(4 + 5x)° + (x + 2)° = 180°

6x + 6 = 180

6x = 180 - 6

x = $\frac{174}{6}$

x = 29

Therefore, (4 + 5x)° = 4 + 5(29)

= 149°

And (x + 2)° = (29 + 2)

= 31°

3). Since, both the angles are linear pair of angles,

5x° + (3x + 12)° = 180°

8x + 12 = 180

8x = 180 - 12

x = $\frac{168}{8}$

x = 21

Therefore, 5x° = 5(21)

= 105°

(3x + 12)° = 3(21) + 12

= 75°

8 0

2 years ago

Suppose three moons A, B, and C orbit 100,000 kilometers above the surface of a planet. Suppose m ZABC = 90°, and the planet is

Vesna [10]

Answer:

Step-by-step explanation:

Please see diagram attached.

Moon A and C are 100,000km + 10,000 = 110,000km from center of planet.

So they are 110,000 + 110,000 = 220,000km apart.

3 0

2 years ago

Read 2 more answers

Question 3 of 14

kobusy [5.1K]

Answer:

$\$84,000$

Step-by-step explanation:

Remember that

$6\%=6/100=0.06$

we know that

The amount the salesman would earn in a year must be equal to the base salary multiplied by 12 (number of months in a year) plus 6% of the amount sold in merchandise in a year

$4,000(12)+0.06(600,000)=\$84,000$

8 0

3 years ago

90 points****

krek1111 [17]

Answer:

The answer would be the second choice 3.78 m²

Step-by-step explanation:

Look below ⬇

Hope this Helps!

3 0

2 years ago

A person is strolling along a moving walkway at a constant velocity of +1.00 m/s with respect to the walkway, which moves at a c

Bezzdna [24]

Refer to the diagram shown below.

The velocity of the person on the walkway relative to the ground is the velocity of the walkway (relative to the ground) plus the velocity of the person relative to the walkway.
It is
1.0 + 0.5 = 1.5 m/s

The person on the ground moves at - 0.2 m/s, which is in the opposite direction to that of the walkway and the person on the walkway.
Therefore the velocity of the person on the walkway relative to the person on the ground is
105 - (-0.2) = 1.7 m/s

Answer: 1.7 m/s

7 0

3 years ago