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DanielleElmas [232]
2 years ago
10

Find the values of the pronumerals in this diagram. Write down the reason in each case.

Mathematics
1 answer:
timofeeve [1]2 years ago
5 0

Answer:

see explanation

Step-by-step explanation:

a and 85 form a straight angle and are supplementary, thus

a + 85 = 180 ( subtract 85 from both sides )

a = 95

b and 85 are vertical angles and are congruent, thus

b = 85

c and 85 are corresponding angles and congruent, thus

c = 85

c and d are vertical angles and congruent, thus

d = 85

In conclusion

a = 95, b = 85, c = 85, d = 85

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serg [7]

Answer:

m = 11

Step-by-step explanation:

-2(2 - 4m) = 6(m + 3)

Divide both sides by -2.

2 - 4m = -3(m + 3)

Distribute -3 on the left side.

2 - 4m = -3m - 9

Add 3m to both sides.

2 - m = -9

Subtract 2 from both sides.

-m = -11

Divide both sides by -1.

m = 11

6 0
2 years ago
The width of a box is two-third of it's length and height is one-third of it's length.If the volume of the box is 384 cubic mete
Black_prince [1.1K]

Answer:

Length = 12

Width = 8

Height = 4

Step-by-step explanation:

Let length of box = l

Width = 2/3 * l

Height = 1/3 * l

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Volume = Length * width * height

Volume of box = l * 2/3 l * 1/3 l

384 = 2l³ / 9

384 * 9 = 2l³

3456 = 2l³

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l³ = 1728

Take the Cube root of 1728

l = 12

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2 years ago
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Answer:

0

Step-by-step explanation:

if you slightly change the equation to better fit standard form (without actually changing its meaning) you get

y = 0x + 5

which means the slope is 0

Also, a shortcut:

<h2><u>Horizontal lines always have a 0 slope while vertical lines have an undefined slope</u></h2>
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