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LUCKY_DIMON [66]
4 years ago
13

Isosceles triangle XYZ with angle X congruent angle Z? How do you construct?

Mathematics
1 answer:
KIM [24]4 years ago
8 0

Answer:

The construction is given below.

Step-by-step explanation:

we have to construct an isosceles triangle XYZ with angle X congruent angle Z. The steps of construction are

Step 1 : Construct a segment of any length XZ.

Step 2 : Adjust the compass such that it is greater than half of the segment and then put the needle of compass once at point X and then point Z and draw arc from both points.

Step 3 : Draw the segments from the two endpoints X and Z to the point where the two arcs intersect i.e at point Y.

By above steps of construction Isosceles triangle XYZ with angle X congruent angle Z is constructed.

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Step-by-step explanation:

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3 years ago
The distance from the ground of a person riding on a Ferris wheel can be modeled by the equation d equals 20 times the sine of t
kodGreya [7K]

We have the function d, representing the distance from the ground of a person riding on a Ferris wheel:

d(t)=20\sin (\frac{\pi}{30}t)+10

If we consider the position of the person at t = 0, which is:

d(0)=20\sin (\frac{\pi}{30}\cdot0)+10=20\cdot0+10=10

This position, for t = 0, will be the same position as when the argument of the sine function is equal to 2π, which is equivalent to one cycle of the wheel. Then, we can find the value of t:

\begin{gathered} \sin (\frac{\pi}{30}t)=\sin (2\pi) \\ \frac{\pi}{30}\cdot t=2\pi \\ t=2\pi\cdot\frac{30}{\pi} \\ t=60 \end{gathered}

Then, the wheel will repeat its position after t = 60 seconds.

Answer: 60 seconds.

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2 years ago
If the slope of a line is 1/2 and the y-intercept is 6, what is the x-intercept of the same line?
ASHA 777 [7]

The slope of a line is the ratio of the change in y to the change in x. The slope of the given line is 1/2 = -6/-12. That is, when y changes by -6 to go from 6 to zero, x will change by -12 to go from 0 to -12.

The x-intercept is (-12, 0).

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4 years ago
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Kitty [74]
The answer is x=-24.

5 0
4 years ago
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Komok [63]
4x - 3x

As this is can be simplified to x, the difference between four times a number and three times that number is just "that number"
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