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RUDIKE [14]
2 years ago
7

HELP? 7-15 please :) show work thank you!

Mathematics
1 answer:
Alexus [3.1K]2 years ago
7 0

Answer:

7. x = 3

Step-by-step explanation:

To find the value of x, use the triangle sum property. Every triangle has interior angles which add to 180 degrees. To solve, add the expressions and numbers together then set equal to 180. Then use inverse operations to solve for x.

7. 20x - 9 + 10x + 9 + 90 = 180             Subtract 90 from both sides.

   20x - 9 + 10x + 9 = 90                       Add -9 + 9 = 0

   20x + 10x = 90                                  Add like terms 20x + 10x = 30x

   30x = 90                                            Divide both sides by 30.

        x = 3

Repeat this process for each problem.

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7 0
3 years ago
A dolphin jumps out of the water with
Mandarinka [93]

Answer:

t=1.25\ sec

Step-by-step explanation:

we have

h(t)=-16t^{2}+20t

where

t is the time in seconds

h is the dolphin's height in feet

we know that

When the dolphin return to the water the value of h(t) is equal to zero

so

For h(t)=0

0=-16t^{2}+20t

16t^{2}=20t

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3 0
2 years ago
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HACTEHA [7]
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3 0
2 years ago
If x= -3 and y=-4, <br> then xy – 2x=
gogolik [260]

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4 0
2 years ago
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Consider w=sqrrt2/2(cos(225°) + isin(225°)) and z = 1(cos(60°) + isin(60°)). What is w+ z expressed in rectangular form?
SVETLANKA909090 [29]

Answer:

Option (3)

Step-by-step explanation:

w = \frac{\sqrt{2}}{2}[\text{cos}(225) + i\text{sin}(225)]

Since, cos(225) = cos(180 + 45)

                          = -cos(45) [Since, cos(180 + θ) = -cosθ]

                          = -\frac{\sqrt{2}}{2}

sin(225) = sin(180 + 45)

             = -sin(45)

             = -\frac{\sqrt{2}}{2}

Therefore, w = \frac{\sqrt{2}}{2}[-\frac{\sqrt{2}}{2}+i(-\frac{\sqrt{2}}{2})]

                      = -\frac{2}{4}(1+i)

                      = -\frac{1}{2}(1+i)

z = 1[cos(60) + i(sin(60)]

  = [\frac{1}{2}+i(\frac{\sqrt{3}}{2})

  = \frac{1}{2}(1+i\sqrt{3})

Now (w + z) = -\frac{1}{2}(1+i)+\frac{1}{2}(1+i\sqrt{3})

                   = -\frac{1}{2}-\frac{i}{2}+\frac{1}{2}+i\frac{\sqrt{3}}{2}

                   = \frac{(i\sqrt{3}-i)}{2}

                   = \frac{(\sqrt{3}-1)i}{2}

Therefore, Option (3) will be the correct option.

3 0
3 years ago
Read 2 more answers
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