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3 years ago

12

30% of a (blank) is 60

2 answers:

marin [14]3 years ago

7 0

The answer would 200, since 30% of 100 would be 30, then if you multiply than x2, than you get 200.

So, 30% of 200 is 60.

Lapatulllka [165]3 years ago

6 0

30% of 200 is 60
You can set up a proportion like so:
30%/100=60/x then you cross multiply to get the answer

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Given that OA = 2x + 9y, OB = 4x + 8y and CD = 4x - 2y, explain the geometrical relationships between the straight lines AB and

Step2247 [10]

Answer:

The geometrical relationships between the straight lines AB and CD is that they have the same slope

Step-by-step explanation:

Given

$OA = 2x + 9y$

$OB = 4x + 8y$

$CD = 4x - 2y$

Required

The relationship between AB, CD

Since AB is a straight line and O is the origin, then:

$AB = (c - a)x + (d - b)y$

Where:

$OA = ax + by$ ====> $OA = 2x + 9y$

$OB = cx + dy$ ====> $OB = 4x + 8y$

This implies that:

$a =2$ $b = 9$ $c = 4$ $d = 8$

So:

$AB = (c - a)x + (d - b)y$

$AB = (4 - 2)x + (8 - 9)y$

$AB = 2x -y$

So, we have:

$AB = 2x -y$

$CD = 4x - 2y$

Calculate the slope (m) of $AB\ and\ CD$

$m = \frac{Coefficient\ of\ y}{Coefficient\ of\ y}$

For AB

$m_1 = \frac{-1}{2}$

$m_1 = -\frac{1}{2}$

For CD

$m_2 = \frac{-2}{4}$

$m_2 = \frac{-1}{2}$

$m_2 = -\frac{1}{2}$

By comparison:

$m_1 = m_2 = -\frac{1}{2}$

This implies that both lines have the same slope

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Select all radical expressions that are equivalent to 3 4/7

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Answer:

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Step-by-step explanation:

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3 years ago

In ΔVWX, the measure of ∠X=90°, WX = 8.3 feet, and XV = 2.5 feet. Find the measure of ∠W to the nearest tenth of a degree.

kiruha [24]

Answer:

16.76°

Step-by-step explanation:

In ΔVWX, the measure of ∠X=90°, WX = 8.3 feet, and XV = 2.5 feet.

We want to find the measure of <W.

We know side length that is adjacent and opposite to <W.

We can use the tangent ratio, to find the measure of <W.

The tangent ratio is opposite over hypotenuse.

$\tan(m \angle \: w) = \frac{2.5}{8.3}$

$\tan(m \angle \: w) = 0.301$

Take tangent inverse to get:

$m \angle \: w= { \tan}^{ - 1} (0.301)$

$m \angle \: w=16.76 \degree$

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3 years ago