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mrs_skeptik [129]
4 years ago
11

Solve for x in the diagram below. 15 points :3

Mathematics
1 answer:
OLEGan [10]4 years ago
4 0

Answer: x = 6

Step-by-step explanation:

We know that the angles combined are complementary, meaning they add up to 90 degrees.

Therefore, we can make this equation:

(x + 54) + 5x = 90

Then, combine like terms.

x + 54 + 5x = 90

6x + 54 = 90

Now, subtract the 54 from that side.

6x = 90 - 54

6x = 36

Next, divide!

\frac{6x}{6} = \frac{36}{6}

x = 6

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Write the standard form of the line that passes through the given points. Include your work in your final answer. Type your answ
vovikov84 [41]

9514 1404 393

Answer:

  y = 7

Step-by-step explanation:

The slope is ...

  m = (7 -7)/(0 -4) = 0

The y-intercept is the point (0, 7), so the slope-intercept equation is ...

  y = mx +b

  y = 0·x +7

Simplifying this puts it in standard form:

  y = 7

8 0
3 years ago
Rectangle A measures 10 inches by 8 inches. Rectangle B is an enlarged copy of Rectangle A. Select all of the measurement pairs
Fudgin [204]

Answer:

See Explanation

Step-by-step explanation:

Given

Rectangle A:

Length: 10\ in

Width: 8\ in

Required

Determine the possible dimensions of Rectangle B

<em>The question has missing options; however, the question can still be solved.</em>

<em></em>

Rectangle B being an enlarged copy of A implies that the dimension of A A is enlarged in equal proportion to form B

Take for instance, the measurements of Rectangle B are

Length: 15 in

Width: 12 in

Divide the corresponding lengths of B by A to get the enlargement ratio

Ratio = \frac{B}{A}

For length:

Ratio = \frac{15}{10}

Ratio = 1.5

For width

Ratio = \frac{12}{8}

Ratio = 1.5

Notice that both ratios are the same.

For this measurement of B, we can conclude that B is an enlargement of A

Assume another measurements for B

Length: 20\ in

Width: 10\ in

Calculate Ratios

Ratio = \frac{B}{A}

For length:

Ratio = \frac{20}{10}

Ratio = 2

For width

Ratio = \frac{10}{8}

Ratio = 1.25

Notice that, both ratios are not equal.

For this measurement of B, we can conclude that B is not an enlargement of A

<em>Conclusively, all you have to do is: determine the ratios of the dimensions of B to A, if the result are equal then B is an enlarged copy of A; if otherwise, then B is not an enlarged copy</em>

5 0
3 years ago
PLEASE HELP!!!
GalinKa [24]

Answer:

14-5i

Step-by-step explanation:

Distribute using FOIL

12+3i-8i-2i^2

i^2 = -1

12+3i-8i-2(-1)

12+3i-8i+2

Combine like terms

14-5i

4 0
3 years ago
Y is directly related to x and y is 81 when x is 27 the constant of.variation is
suter [353]

Answer:

The constant of variation is 3

Step-by-step explanation:

Given.

y=81

x=27

And y is directly related to x

y ∝ x

Here k is constant of variation

y=kx

k=\frac{y}{x}--------------(1)

Put the y and x value in equation 1.

k=\frac{81}{27}

k=3

So, the constant of variation is 3.

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3 years ago
PLEASE HELP, 40 POINTS!!!!!!!!!!!!!!!!!!!
andriy [413]
Eu nu știu engleză fiule
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