What is the area of the trapezoid?



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The equation of the line with a slope of 0 passing through the point (4, 7) is: y = 7.

To find the equation of a line with a slope of 0 that passes through the point (4, 7), you can use the point-slope form of a line, which is:

y - y1 = m(x - x1)

In this case, the slope (m) is 0, and the point (x1, y1) is (4, 7).

So, the equation becomes:

y - 7 = 0(x - 4)

Since the slope is 0, the equation simplifies to:

y - 7 = 0

Now, add 7 to both sides to isolate "y":

y = 7

So, the equation of the line is simply:

y = 7

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Answer:

We can define a fixed asset as tangible asset that one can touch. Like a house or jewelry. These cannot be easily converted into cash and they produce profit in the long run.

But most liquid assets are intangible. Like - short term securities, short term bonds, checking and savings accounts etc. Liquid assets also include current assets like cash, bank balance etc.

In other words, liquid assets can be readily converted into cash and sold on a short notice.

To find out how much is spent on housing from an annual income of $30,600, calculate 1/5 of the amount which equals $6,120.

The student is seeking to determine how much money is spent for housing from a family's annual income of $30,600, given that 1/5 of this income is allocated for housing expenses. To find the amount spent on housing, we need to calculate 1/5 of the family's annual income.

Here's a step-by-step explanation:

Therefore, the amount spent on housing by the family is $6,120 per year.

Answer: The answer is 8. Hope that helps.

Step-by-step explanation:

The statement 'a=180-b', '360=2a+2b', and 'a=90 and b=90' must be true given that a+b=180.

To determine which statement must also be true given that a+b=180, we can substitute the value of a+b in each statement.

a=180-b: If we substitute a+b=180, we get 180-b+b=180. This simplifies to 180=180, which is always true. So, the statement a=180-b must be true.

a-180=b: If we substitute a+b=180, we get a-180+b=0+b. This simplifies to a-180=0, which is not always true. So, the statement a-180=b is not always true.

360=2a+2b: If we substitute a+b=180, we get 360=2a+2b. This simplifies to 360=360, which is always true. So, the statement 360=2a+2b must be true.

a=90 and b=90: If we substitute a+b=180, we get 90+90=180. This simplifies to 180=180, which is always true. So, the statement a=90 and b=90 must be true.

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Final answer:

The absolute value of the temperature change from 78°F to 70°F is 8 degrees Fahrenheit.

Explanation:

To describe how much the temperature decreased from 78°F to 70°F using an absolute value statement, we need to look at the magnitude of the change in temperature, without regard to the direction of change (increase or decrease). The change in temperature can be calculated as the final temperature ([tex]T_f[/tex]) minus the initial temperature ([tex]T_i[/tex]). In mathematical terms, this is expressed as [tex]\\(\Delta T = T_f - T_i)[/tex].

For this specific temperature change:

[tex]\Delta T = T_f - T_i[/tex] = 70°F - 78°F = -8°F

The absolute value of the temperature change is then:

|ΔT| = |-8°F| = 8°F

Therefore, the absolute value statement that describes how much the temperature decreased is "8 degrees Fahrenheit".

The ascending order of the numbers will be;

⇒ - 3.25, - 3 1/4, - 3 1/8, - 3.1

The numbers arrange in order to least to greatest number is called Ascending order.

Given that;

The numbers are,

⇒  -3.25, -3 1/8, -3 1/4 , and -3.1

Now,

Since, The numbers are,

⇒ -3.25, -3 1/8, -3 1/4 , and -3.1

Hence, We get;

⇒ - 3 1/8 = - 25/8

             = - 3.125

⇒ - 3 1/4 = - 13/4

             = - 3.25

Thus, The ascending order will be;

⇒ - 3.25, - 3 1/4, - 3 1/8, - 3.1

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Answer:

C) Width = 16 inch, Length = 128 inches  

Step-by-step explanation:

We are given the following information in the question:

The dimension of the original picture is:

Width = 8 inches

Length = 64 inches

We have to find a possible pair of dimension such that it shows a enlarged form of our picture that is larger width and length.

a) Length = 1 inches, Width = 8 inch

This is clearly a smaller version of the original picture.

b) Length = 8 inches, Width = 16 inch

In this we have a shorter length than the original picture.

c) Length = 128 inches, Width = 16 inch

As we can see the length as well width in this option is greater than that of the original picture. Hence, this a possible pair of dimension that can shoe picture enlargement. The length and the width is twice the original picture.

d) Length = 16 inches, Width = 128 inch

Since, the length of this picture is smaller as compared to the original picture, this dimension cannot correspond to enlarged picture.

Answer:

A

Step-by-step explanation:

did the quiz edge 2021

Answer is C

Step-by-step explanation:

Its C

So, tan30 = x / 15;

Then, [tex] \frac{\sqrt{3}}{3} = \frac{x}{15} ;
x = \frac{15\sqrt{3}}{3};
x = 5\sqrt{3}.
[/tex]

The correct answer is : [tex] 5\sqrt{3} . [/tex]

The circumference of the base is 40 cm, and this equals 2*pi*r. The radius, r, is found as follows:

40 cm

r = ------------ = 6.369 cm. The area of the base, A = pi*r^2, = 3.14*40.570

2(3.14)

The volume here is V = (1/3)(area of base)*(height)

= (1/3)(127.45)(9) cm^3 = 382.36 cm^3 (answer)