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elena-14-01-66 [18.8K]
3 years ago
12

Marsha used about 400 square 1-inch tiles to cover the tabletop that was shaped like a right triangle. The length of one leg of

the right triangle was 16 inches. What was the length of the other leg of the triangle?
Mathematics
1 answer:
Lostsunrise [7]3 years ago
7 0
The area of the right triangular tabletop is calculated through the equation,
                                    A = 0.5(L₁)(L₂)
The area, as stated above, is equal to 400 in². Substituting the known values to the equation above,
                                    400 = 0.5(16 in)(L₂)
The value of L₂ is equal to 50 inches. Thus, the second length is equal to 50 inches. 
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Henry counted units to find the distance between two points. For which pair of points could he have done this ? Select all that
Flura [38]

Options:

(–3, 5) and (–2, 5)         (–3, 5) and (–9, 3)

(5, 3) and (9, 3)             (5, –9) and (3, –5)

(2, 3) and (7, 3)

Answer:

(–3, 5) and (–2, 5)

(5, 3) and (9, 3)

(2, 3) and (7, 3)

Step-by-step explanation:

To do this, have to compare the both x and both y coordinates of the points.

If the x coordinates are equal or the y coordinates are equal, then that option is true

For (a): (-3,5) and (-2,5)

The y coordinates are the same:

i.e.

y_1 = y_2 = 5

<em>This option is true</em>

For (b): (-3, 5) and (-9, 3)

None of the coordinates are the same;

i.e.

x_1 \ne x_2

y_1 \ne y_2

<em>Hence, this option is false.</em>

For (c): (5, 3) and (9, 3)

The y coordinates are the same:

i.e.

y_1 = y_2 = 3

<em>This option is true</em>

For (d): (5, -9) and (3, -5)

None of the coordinates are the same;

i.e.

x_1 \ne x_2

y_1 \ne y_2

<em>Hence, this option is false.</em>

(2, 3) and (7, 3)

The y coordinates are the same:

i.e.

y_1 = y_2 = 3

<em>This option is true</em>

3 0
3 years ago
Can anyone please help me to do this with steps
lutik1710 [3]

9514 1404 393

Answer:

  x = 45°

Step-by-step explanation:

We presume you want the measure of angle x.

Long arc BAD is intercepted by inscribed angle BCD and by inscribed angle BDE. Hence angle BDE has the same measure as angle BCD.

  x + 70° = 115°

  x = 45° . . . . . . subtract 70°

_____

It doesn't matter where point C is on short arc BD—the measure of angle C is the same regardless. This is still true even if point C moves to be on top of point D, so that angle BCD and angle BDE are indistinguishable.

7 0
3 years ago
Lisa spends part of her year as a member of the gym. She then finds a better deal at another gym, so she cancels her membership
stellarik [79]

Answer:

Number of month in first gym = 7

Number of month in second gym = 5

Step-by-step explanation:

Given:

First gym member ship cost = $75 per month

Second gym member ship cost = $50 per month

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Computation:

Number of month in first gym = a

Number of month in second gym = b

So

a + b = 12....eq1

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From eq 1 and 2

a = 7 month

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3 years ago
Which statement is true about the points (-4,6) and (4,-6) is true
White raven [17]

Answer:

D.

Step-by-step explanation:

I graphed it. They are both not in the same qudrant because both their x and y values are opposites. This led me to believe that they were in quadrants digaonal of each other, meaning the answer was D, because if you flipped the point across the x or y axis and then flipped it again across the other axis, it would be that point. Just in case, I graphed it. Please tell me if I'm wrong :)

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Step-by-step explanation:

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