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3 years ago

Please help it’s geometry! I’ll make brainliest

Mathematics

2 answers:

Nitella [24]3 years ago

5 0

The second should be correct sorry if I’m wrong

expeople1 [14]3 years ago

4 0

GX is the angle bisector. Answer is C

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The length of the hypotenuse of the right triangle is 25 cm, the length of one of the legs is 10 cm. What is the length of the s

sergejj [24]

Answer:

$\large\boxed{AD=21\ and\ CD=2\sqrt{21}}$

Step-by-step explanation:

Look at the picture.

Use the Pythagorean theorem for calculate the length of CA:

$CA^2+CB^2=AB^2$

We have

$CA=x,\ CB=10,\ AB=25$

Substitute:

$x^2+10^2=25^2$

$x^2+100=625$ subtract 100 from both sides

$x^2=525\to x=\sqrt{525}\\\\x=\sqrt{25\cdot21}\\\\x=\sqrt{25}\cdot\sqrt{21}\\\\x=5\sqrt{21}\ cm$

ΔADC and ΔACB are similar. Therefore the corresponding sides are in proportion:

$\dfrac{AD}{AC}=\dfrac{AC}{AB}$

We have:

$AD=y,\ AC=5\sqrt{21},\ AB=25$

Substitute:

$\dfrac{y}{5\sqrt{21}}=\dfrac{5\sqrt{21}}{25}$

$\dfrac{y}{5\sqrt{21}}=\dfrac{\sqrt{21}}{5}$ cross multiply

$5y=5(\sqrt{21})^2$ divide both sides by 5

$y=21\ cm$

If you mean the length of segment CD, then use the proportion:

$\dfrac{CD}{AD}=\dfrac{CB}{CA}$

Substitute:

$\dfrac{CD}{21}=\dfrac{10}{5\sqrt{21}}\\\\\dfrac{CD}{21}=\dfrac{2}{\sqrt{21}}\qquad\text{cross multiply}\\\\CD\sqrt{21}=42\qquad\text{multiply both sides by}\ \sqrt{21}\\\\21CD=42\sqrt{21}\qquad\text{divide both sides by 21}\\\\CD=2\sqrt{21}\ cm$

3 0

3 years ago

<img src="https://tex.z-dn.net/?f=8%20%286%5Cfrac%7B1%7D%7B4%7D%20%2A%203.2%20-%2018%29" id="TexFormula1" title="8 (6\frac{1}{4}

Anuta_ua [19.1K]

Answer is 16

8 (6 1/4 x 3.2 - 18)

8 ( 6x4+1) = 25/4

8 (25/4 x 3.2 - 18)

8 (25/4 x 3.2) = 80/4 = 20

8 (20 - 18) = 2

8 x 2 = 16

7 0

3 years ago

Rowena has a $150,000 homeowner's insurance policy with a $1,000 deductible on her house. Her premium payment is $100 per month.

MakcuM [25]

Rowena will be paying <span>A. $1,000 to the insurance company per year.</span>

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3 years ago

La circunferencia C está centrada en P(6;0) Y su radio es r=3. Calcular:

Luda [366]

Answer:

the answer is easy.

Step-by-step explanation:

4 0

4 years ago

Find fourth proportional of 6, 9, 18. Please say me correct answer

olganol [36]

A: 3

Good luck on everything

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3 years ago