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natka813 [3]
3 years ago
6

If m angle abf=7b-24 and m angle abe=2b find m angle ebf

Mathematics
1 answer:
cricket20 [7]3 years ago
8 0

angle ABE is equivalent to the whole angle, and it measures 2b. <span>
while the angle ABF is only a portion of angle ABE, and it measure 7b - 24. 

<span>since we know the measure of the whole angle and a part of the angle, we can then subtract to find the left over angle (angle EBF), so

Angle EBF = Angle ABE - Angle ABF </span></span>

Angle EBF = 2b – (7b – 24)

<span>Angle EBF = 24 – 5b</span>

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When a triangular prism is intersected by a plane parallel to the bases, what is
IgorC [24]

Answer:

C:  triangle

Step-by-step explanation:

the cross section is a triangle that is smaller than the base triangle.

5 0
3 years ago
in constructing a box and whisker plot from the data set below at which value would you draw the left and right side of the box
KatRina [158]
A box and whisker plot is a type of statistical graph that shows the median distributions of the data set. The box represents the data median and the medias of the quartiles. The whiskers represents the lines extended from the box to the lowest and the highest data.

Take this data as an example:
<span>3.9,  4.1,  4.2,  4.3,  4.3,  4.4,  4.4,  4.4,  4.4,  4.5,  4.5,  4.6,  4.7,  4.8,  4.9,  5.0,  5.1
</span>First, find the middle value. That would be the median. In this case, that would be 4.4. Let's denote this as Q₂ or Quartile 2. Now, take the group of data set before and after the median. These are:

<span>3.9,  4.1,  4.2,  4.3,  4.3,  4.4,  4.4,  4.4
</span>
and

<span>4.5,  4.5,  4.6,  4.7,  4.8,  4.9,  5.0,  5.1
</span>
The middle of the first data set is Q₁ = 4.3, while the middle of the second set is Q₃ = (4.7+4.8)/2 = 4.75

To construct the box and whisker plot, create line for the lowest value 3,9, Q₁, Q₂, Q₃ and the highest value, 4.4. The left side of the box would be Q₁, while the right side of the box is Q₃. The line in between is the media Q₂. The whiskers are the lines connecting the lowest to Q₁, and Q₃ to the highest on the other side. The resulting box and whisker plot is shown in the attached picture.

8 0
4 years ago
Find the inverse of the following function.
Naddik [55]

For this case we must find the inverse of the following function:

f (x) = 8 \sqrt {x}

For this, we follow the steps below:

We change f (x) to y:

y = 8 \sqrt {x}

We exchange the variables:

x = 8 \sqrt {y}

We solve for y:

8 \sqrt {y} = x

We divide between 8 on both sides of the equation:

\sqrt {y} = \frac {x} {8}

We raise both sides of the equation to the square to remove the root:

y = (\frac {x} {8}) ^ 2\\y = \frac {x ^ 2} {64}

So, the inverse is:f ^ {- 1} (x) = \frac {x ^ 2} {64}

ANswer:

Option C

3 0
3 years ago
Select the correct answer from each drop down menu. In the figure, AB=__inches and AC=___
BaLLatris [955]

Answer: In the figure AB is about 8.4 inches and AC is about 13.05 inches.

Step-by-step explanation: We can use cosine to find the hypotenuse. cos(40)=\frac{10}{x} \\cos(40) (x)=\frac{10}{x}(x)\\cos(40) (x) =10\\\frac{cos(40) (x)}{cos (40)} =\frac{10}{cos (40)} \\x=\frac{10}{cos(40)}

Using a calculator x is about 13.05

Using tangent we can find the length opposite of <C

tan(40)=\frac{x}{10} \\tan(40) (10)=\frac{x}{10}(10)\\tan(40) (10) = x

Using a calculator x would be about 8.4

4 0
3 years ago
Read 2 more answers
How many solutions exist for the given equation?
zmey [24]
<h3> Answer </h3>

x = 2

<h3>Step by step</h3>

1/2(x + 12) = 4x - 1

1/2x + 12/2 = 4x - 1

1/2x + 6 = 4x - 1

1/2x - 4x = -1 - 6

1/2x - 8/2x = -7

-7/2x = -7

x = -14/-7

x = 2

8 0
3 years ago
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