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2 years ago

In a bag, there are only red, white and yellow counters.

Mathematics

1 answer:

patriot [66]2 years ago

6 0

1 for yellow 4 for red n 8 for white there are just 1 example of what it could be

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6[ 5x (41-36) - (8+14)]

IgorLugansk [536]

Answer:

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Step-by-step explanation:

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3 years ago

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• How do you summarize data in a two-way frequency table?

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3 years ago

7 x 3/4

Mkey [24]

7 3/4

Step 1: Multiply 7 and 4.

7 x 4=28

Step 2:Add 3 to their product.

28+3=31

Step 3:The number so obtained is the numerator and the denominator remains the same.

Answer: 31/4

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2 years ago

Write the equation of the line that is parallel to y= 3x -7 and goes through point (4,2).

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2 years ago

Given right triangle ABCABC with altitude \overline{BD} BD drawn to hypotenuse ACAC. If BC=10BC=10 and DC=5,DC=5, what is the le

Helen [10]

Answer: $\overline{AC}=$ 12.5

Step-by-step explanation: The triangle ABC and its altitude $\overline{BD}$ is represented in the figure below.

<u>Altitude</u> is a segment of line that link a vertex and the opposite side, forming a right angle.

So, because of $\overline{BD}$ , now we have two similar triangles, which means that ratios of corresponding sides are equal:

$\frac{\overline{BD}}{\overline{BC}} =\frac{\overline{AD}}{\overline{BD}}$

$\overline{BD}^{2}=\overline{BC}.\overline{AD}$ (1)

This is always true for a right triangle and a altitude drawn to the hypotenuse.

Triangle BDC is also right triangle. So, we can use Pythagorean theorem to determine the missing side.

$\overline{BC}^{2}=\overline{CD}^{2}+\overline{BD}^{2}$

$\overline{BD}^{2}=\overline{BC}^{2}-\overline{CD}^{2}$ (2)

Substituting (2) into (1):

$\overline{BC}^{2}-\overline{CD}^{2}=\overline{BC}.\overline{AD}$

We want to find f, so:

$\overline{AD}=\frac{\overline{BC}^{2}-\overline{CD}^{2}}{\overline{BC}}$

$f=\frac{10^{2}-5^{2}}{10}$

f = 7.5

The length of $\overline{AC}$ is

$\overline{AC}=f+5$

$\overline{AC}=7.5+5$

$\overline{AC}=12.5$

The length of the hypotenuse of triangle ABC is 12.5 units.

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2 years ago

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