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natali 33 [55]
2 years ago
12

Write an equation that you can use to solve for x. Enter your answer in the box.

Mathematics
2 answers:
Talja [164]2 years ago
7 0

Answer:

x+63 = 90

x = 27

Step-by-step explanation:

The two angles are complementary, so they add to 90 degrees

x+63 = 90

Subtract 63 from each side

x+63-63 = 90-63

x = 27

Lelechka [254]2 years ago
7 0

Answer:

x=90-63

Step-by-step explanation:

that angle is marked asa 90 degree angle, and they split it in 2. If one peice is 63,  then the other one must be 90-63.

You might be interested in
Find the total surface area of a rectangular prism with dimensions of 8 ft x 4 ft x 3 ft.
Kryger [21]
Hi,

To find area of rectangular prism do this.

a = 8 \\ b = 4 \\ c = 3 \\ s = 2 \times (a \times c) + 4 \times (a \times b) \\ s = 2 \times (8 \times 3) + 4 \times (8 \times 4) \\ s = 2 \times 24 + 4 \times 32 \\ s = 48 + 128 \\ s = 176

Hope this helps.
r3t40
7 0
3 years ago
Periodically a bottling company gets complaints that their bottles are not holding enough liquid. To test this claim the bottlin
kompoz [17]

Answer:

The null hypothesis was not rejected at 1% and 5% level of significance, but was rejected at 10% level of significance.

Step-by-step explanation:

The complaints made by the customers of a bottling company is that their bottles are not holding enough liquid.

The company wants to test the claim.

Let the mean amount of liquid that the bottles are said to hold be, <em>μ₀</em>.

The hypothesis for this test can be defined as follows:

<em>H₀</em>: The mean amount of liquid that the bottles can hold is <em>μ₀,</em> i.e. <em>μ</em> = <em>μ₀</em>.

<em>Hₐ</em>: The mean amount of liquid that the bottles can hold is less than  <em>μ₀,</em> i.e. <em>μ</em> < <em>μ₀</em>.

The <em>p</em>-value of the test is, <em>p</em> = 0.054.

Decision rule:

The null hypothesis will be rejected if the <em>p</em>-value of the test is less than the significance level. And vice-versa.

  • Assume that the significance level of the test is, <em>α</em> = 0.01.

        The <em>p</em>-value = 0.054 > <em>α</em> = 0.01.

        The null hypothesis was failed to be rejected at 1% level of

        significance. Concluding that the mean amount of liquid that the

         bottles can hold is <em>μ₀</em>.

  • Assume that the significance level of the test is, <em>α</em> = 0.05.

        The <em>p</em>-value = 0.054 > <em>α</em> = 0.05.

        The null hypothesis was failed to be rejected at 5% level of

        significance. Concluding that the mean amount of liquid that the

         bottles can hold is <em>μ₀</em>.

  • Assume that the significance level of the test is, <em>α</em> = 0.10.

        The <em>p</em>-value = 0.054 < <em>α</em> = 0.10.

        The null hypothesis will be rejected at 10% level of

        significance. Concluding that the mean amount of liquid that the

         bottles can hold is less than <em>μ₀</em>.

5 0
3 years ago
Draw graphs of the following lines: The line through (-5, 2) having the slope of -3
Ivanshal [37]
What you want to do here is take this information and plug it into point-slope form. any time you're given a point and a slope, you generally want to plug it into this equation: y - y1 = m(x - x1).

in this equation, m is your slope and (x1, y1) is a given point. plug in your info--slope of -3 and (-5, 2).

y - 2 = -3(x + 5)

that is the equation of your line. however, if you want to graph it, this doesn't really make much sense to you. convert it to slope-intercept form, y = mx + b, by solving for y.

y - 2 = -3(x + 5) ... distribute -3
y - 2 = -3x - 15 ... add 2
y = -3x - 13 is your equation.

to graph this, and any other y = mx + b equation, you want to start with your y-intercept if it's present. your y intercept here is -13, which means the line you wasn't to graph crosses the y-axis at y = -13, or (0, -13). put a point there.

after you've plotted that point, you use your slope to graph more. remember that your slope is "rise over run"--you rise up/go down however many units, you run left/right however many units. if your slope is -3, you want to go down 3 units, then go to the right 1 unit. remember that whole numbers have a 1 beneath them as a fraction. -3/1 is your rise over 1.
6 0
3 years ago
Read 2 more answers
Katalin drove 210 miles on her vacation. She drove an average of 1.4 times faster on the second 105 miles of her trip than she d
konstantin123 [22]

The answer is D. 180 divided by x. .


5 0
2 years ago
(Find the length of the missing side in each triangle)​
just olya [345]

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The relevant trig relations are summarized by the mnemonic SOH CAH TOA. This means ...

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

  Tan = Opposite/Adjacent

So, for each triangle, determine the relationships of the given sides to the given angle: adjacent, opposite, or hypotenuse. Then write and solve the equation using one of the above templates.

4 0
2 years ago
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