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Virty [35]
3 years ago
5

Lynn has a box of crayons.

Mathematics
1 answer:
Scrat [10]3 years ago
7 0

Answer:

<em>There are 72 crayons in the box</em>

Step-by-step explanation:

<u>Fractions</u>

To solve this problem we'll manage numbers as fractions to keep the precision up to the end of it.

Lynn has a box of crayons. It's given 4/9 of the crayons are blue. The remaining crayons are:

1-\frac{4}{9}=\frac{5}{9}

From that portion, 65% are red, or equivalently, 35% are yellow.

We write 35% as a fraction:

\displaystyle 35\%=\frac{35}{100}=\frac{7}{20}

Thus, the portion of yellow crayons is:

\displaystyle \frac{7}{20}\cdot \frac{5}{9}=\frac{7}{36}

This fraction of x crayons is equal to 14, thus:

\displaystyle x=\frac{14}{\frac{7}{36}}=14\cdot\frac{36}{7}

x = 72

There are 72 crayons in the box

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Answer:

BH=2

Step-by-step explanation:

Please find the attachment.

We have been given that triangle ABC is a right triangle, having a right angle at point B and BH is the altitude.

We can see from our attachment that the altitude BH is drawn to hypotenuse AC.

Altitude geometric mean theorem states that the altitude from the right angle to the hypotenuse divides the hypotenuse into two segments. Each leg of the right triangle is the mean proportional of the hypotenuse and the segment of the hypotenuse that is adjacent to the leg.

Using the above theorem we can set proportions for our given side lengths as:

\frac{\text{Left}}{\text{Altitude}}=\frac{\text{Altitude}}{\text{Right}}      

Upon substituting our given values we will get,

\frac{1}{BH}=\frac{BH}{4}

Upon cross multiplying our equation we will get,

BH*BH=1*4

(BH)^2=4  

Taking square root of both sides of our equation we will get,

BH=\sqrt{4}

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Therefore, BH is equals to 2 units.

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4 years ago
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blagie [28]
1/4 is the final answer
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snow_lady [41]

Answer:

In the figure ∠ABO and ∠BCO have measures equal to 35°.

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