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aksik [14]
2 years ago
11

Given ΔADC and ΔAEB, What is AE?

Mathematics
1 answer:
Scilla [17]2 years ago
3 0

Answer:

AE = 43.2 units

Step-by-step explanation:

As per the given question image, it can be seen that in the  

1.  

2.  is common to both the triangles.

3. Two angles are common, so the third angle  is also equal to .

All the three angles in the  are equal to each other, hence the triangles are similar.

As per the property of similar triangles, the ratio of their sides will be equal.

AB : AC = AE : AD

AC = 88 units

BC = 55 units

AB = AC - AB = 33 units

Let side AE =  units

Side AD = AE + ED

So, AD =  

Using the ratio:

So, AE = 43.2 units

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Find the x- and y-intercepts of the following line: 4x − 3y = 12
Slav-nsk [51]

Answer:

x-intercept: (3,0)

y-intercept: (0,-4)

Step-by-step explanation:

To find the x and y-intercepts, we first need to understand what they are. X and y-intercepts are points on the line that passes through the x-axis and y-axis. When a point is an x-intercept, it passes through the x-axis. This means the x-coordinate is an integer, while the y-coordinate is always 0. This can be denoted by (x,0). When a point is a y-intercept, it passes through the y-axis. This means the y-coordinate is an integer, while the x-coordinate is always 0. This can be denoted by (0,y).

Now that we know what x and y-intercepts are, we can plug in x=0 and y=0 to find the intercepts.

x-intercept

4x-3y=12            [plug in y=0]

4x-3(0)=12          [multiply]

4x-0=12              [add both sides by 0]

4x=12                 [divide both sides by 4]

x=3

---------------------------------------------------------------------------------------------------------

y-intercept

4x-3y=12            [plug in x=0]

4(0)-3y=12         [multiply]

0-3y=12             [subtract both sides by 0]

-3y=12               [divide both sides by -3]

y=-4

Therefore, the x-intercept is (3,0) and y-intercept is (0,-4).

3 0
3 years ago
Bot stay away do not send any link on this question
dalvyx [7]

Answer:

Step-by-step explanation:

Mathematicians stand on each other's shoulders. — Carl Friedrich Gauss We must admit with humility that, while number is purely a product of our minds, space has a reality outside our minds, so that we cannot completely prescribe its properties a priori.

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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