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galina1969 [7]
3 years ago
12

A. Explain why ABC and ADBE are similar B. What is the height of the building?

Mathematics
1 answer:
777dan777 [17]3 years ago
7 0

Step-by-step explanation:

This figure is not the best, but I'll try my best here

Since BC is parallel to BE (BC is part of BE) and BA is part of BD, two sides are  parallel, making two angles congruent and the triangles therefore similar.

Since BA correlates to BD (they are parallel), we can use the knowledge that BA is 7 and BD is 42 to find the scaling factor to be 42/7 =6 from ABC to DBE. Since BC correlates to BE, BC = 10, and the scaling factor is 6, BC*6=BE= 60 = height

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What is the value of x? 5x+2=9x-38
prohojiy [21]

Answer:

10

Step-by-step explanation:

5x+2=9x-38

-4x=-40

x=10

7 0
2 years ago
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Determine whether it is possible to form a triangle using each set of segments with the given measurements.
Gnesinka [82]
Are we talking about edges or the physical sides of the triangle?

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If the angle is in standard position and P(x, y) is a point on the terminal side of , and r is the distance from the origin to P
Ghella [55]

Answer:

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Step-by-step explanation:

See image. "An angle in standard position" means the vertex (point part) of the angle is at the origin (0,0). And one side of the angle is glued onto the x-axis. The other side of the angle is free to rotate around the axis. That's the terminal side. Then there's a point P (x,y) on that side. See image. And r is labelled there. This set up makes a right triangle. So I put Pythagorean theorem as the answer here, but honestly if you are learning any right triangle theorems or trigonometry, you could use this set up. The leg that lays along the x-axis is x units long and the other leg is y units long. The hypotenuse is r units long.

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2 years ago
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Step-by-step explanation:

5 0
2 years ago
If the diameter of a circle is 6 inches, how long is the arc subtended by an angle measuring 70°?
yaroslaw [1]
Since the diameter of the circle is 6 inches, then the radius will be half that, or 3 inches,

\bf \textit{arc's length}\\\\
s=\cfrac{r\pi \theta }{180} \quad 
\begin{cases}
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\qquad degrees\\
------\\
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6 0
3 years ago
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