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Feliz [49]
3 years ago
10

1. In order to draw a straight vertical line segment that is 4 units long, which point must be connected to (1, 2)?

Mathematics
1 answer:
lisabon 2012 [21]3 years ago
5 0

Answer:

D. (1,6)

Step-by-step explanation:

Vertical line segment:

A vertical line segment has fixed x coordinate.

In this question:

Vertical line segment that is 4 units long and is connected to (1,2).

The x-coordinate is x = 1.

The y-coordinate can be y = 2 - 4 = -2 or y = 2 + 4 = 6.

(1,6) is one of the options, so the correct answer is given by option D.

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An angle bisector of a triangle divides the opposite side of the triangle into segments 1.5 cm and 1 cm long. A second side of t
bagirrra123 [75]
By the angle bisector theorem, one of the lengths of the third side of the triangle is given by:
1.5 / 1 = x / 2.6
x = 1.5 x 2.6 = 3.9
One of the possible length of the third side is 3.9 cm

The other possible length is given by 1 / 1.5 = x / 2.6
1.5x = 2.6
x = 2.6/1.5 = 1.7
The other possible length of the third side is 1.7 cm.
4 0
3 years ago
Can someone help me plz
viva [34]

The side length of the square base is 18 inches and the height of the pyramid is 9 inches.

Step-by-step explanation:

Step 1:

The volume of a square pyramid is calculated by multiplying the square of the base edge with the height of the pyramid and \frac{1}{3}.

The volume of a square pyramid, V = a^{2} \frac{h}{3}.

Step 2:

From the given diagram, the base edge is the length of the four base edges which is x inches in this pyramid. a = x inches.

The height of the pyramid is from the base to the top, h = \frac{x}{2} inches .

The volume of a square pyramid, V = 972.

Substituting the known values, we get

972 = (x)^{2} (\frac{x}{2})  (\frac{1}{3} ) = \frac{x^{3} }{6} .

x^{3} = 6(972) = 5,832. x = \sqrt[3]{5,832} = 18.

So x is 18 inches long.

The side length = x = 18 inches.

The height of the pyramid = \frac{x}{2} = \frac{18}{2} = 9 inches.

4 0
3 years ago
Best estimate of 48% of 159
olga55 [171]

Answer:

76.32

Step-by-step explanation:

Move the decimal point two times to the left 48. --> .48

Multiply .48 by 159

= 76.32

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Answer:

Step-by-step explanation:

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I hope it helps. .........

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