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irga5000 [103]
3 years ago
5

In the length of each leg of an isosceles triangle is 13 and the base is 24, the length of the altitude to the base is

Mathematics
1 answer:
Likurg_2 [28]3 years ago
6 0

Answer:

<h2>altitude = 5</h2>

Step-by-step explanation:

Look at the picture.

Use the Pythagorean theorem:

a^2+12^2=13^2

a^2+144=169               <em>subtract 144 from both sides</em>

a^2=25\to a=\sqrt{25}\\\\a=5

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What is 0.1 litre : 500 ml simplified
Lesechka [4]

Answer:

Step-by-step explanation:

1 liter = 1000 ml

0.1 liter = 0.1*1000 = 100.0 = 100 ml

\frac{0.1 litre}{500ml} = \frac{100}{500}\\\\=\frac{1}{5}

0.1 liter : 500 ml = 1 : 5

3 0
3 years ago
Yuki bought a pound of confetti for 12$. What is the price, in dollars, per ounce of confetti?
Likurg_2 [28]

Answer:

Yukio will pay $2 per ounce for the confetti

Step-by-step explanation:

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6 0
2 years ago
Please show work for both problems
sukhopar [10]

(1) The value of x is 25

(2) The measure of ∠CBD is 60°

Explanation:

(1) The given two angles are vertical angles. Since, vertical angles are equal, we can add the two angles to determine the value of x.

Thus, we have,

5x+15=6x-10

Subtracting 5x from both sides, we have

15=x-10

Adding 10 to both sides , we have,

25=x

Thus, the value of x is 25.

(2) It is given that the measure of ∠ABC = (x+7)° and ∠CBD = (2x+14)°

Since, these two angles are supplementary angles and supplementary angles add upto 90°

Thus, we have,

2x+14+x+7=90

Simplifying, we get,

3x+21=90

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         x=23

Thus, substituting the value of x in ∠CBD = (2x+14)° to determine its value.

2x+14=2(23)+14=46+14=60

Thus, the measure of ∠CBD is 60°

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3 years ago
Sweaters are $3 for $50. Leslie and her mother spent $100 on sweaters. How many did they buy
inn [45]

Answer:

6

Step-by-step explanation:

5 0
2 years ago
Which equation represents a population of 250 animals that decreases at an annual rate of 21%
guajiro [1.7K]

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y= 250( 1-0.21)^x

Step-by-step explanation:

This represents exponential decay

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