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amid [387]
3 years ago
8

Point C is on line segment BD

Mathematics
1 answer:
Gekata [30.6K]3 years ago
4 0

Answer:

BD measures 20 units.

Step-by-step explanation:

We are given that Point C is on the line segment BD, where:

BD = 5x, BC = 4x \text{ and } CD = 4

And we want to determine the numerical length of BD.

Since C is somewhere on BD, BD is the sum of BC and CD:

\displaystyle BD = BC + CD

Substitute:

(5x) = (4x) + (4)

Solve for <em>x</em>. Subtract:

x = 4

Hence, the value of <em>x</em> is 4.

BD is given by 5<em>x</em>. Therefore:

BD = 5(4) = 20\text{ units}

In conclusion, BD measures 20 units.

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Answer:

m = -1

Step-by-step explanation:

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Therefore,

slope = (-12-(-9))/(-6-(-9))

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3 years ago
Mrs. Clark has a glass vase with a base shaped like a hexagon, as shown. The vase is 30 cm tall and the hexagon base has an area
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Answer: The correct option is fourth, i.e., 1935 cm³.

Explanation:

It is given that the vase is 30 cm tall and the hexagon base has an area of 64.5 cm².

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V=\frac{3\sqrt{3}} {2}a^2\times h

V=A\times h

Where, A is area of base of hexagon and h is height of the hexagon glass.

V=64.5\times 30

V=1935

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3 years ago
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Selecting an Instructor At a convention there are 7 mathematics instructors, 5 computer science instructors, 3 statistics instru
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Answer:

11/19

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The probability of selecting either a science or a maths instructor is 4/19 + 7/19 = 11/19

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4 years ago
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0.46

Step-by-step explanation:

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