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3 years ago

Find the value of x in the isosceles triangle shown below.

Mathematics

1 answer:

Solnce55 [7]3 years ago

8 0

Answer: B. x=10

Step-by-step explanation:

Concept

- If it is an isosceles triangle, then the altitude would also be the median of the base, meaning that it divides the base evenly.

- We are going to use the Pythagorean theorem which is a²+b²=c², where [a] and [b] are legs, and [c] is the hypotenuse.

Given

Hypotenuse (relative) = √74

Altitude (one leg) = 7

The other leg (half of the base) = x/2

Solve

a² + b² = c²

(7)² + (x/2)² = (√74)²

49 + x²/4 = 74

x²/4 = 25

x² = 100

x = 10

Hope this helps!! :)

Please let me know if you have any questions

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3x - 6 + z (if x =9) (if z = 1 )

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Answer:

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3 years ago

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In a In a school of 567 pupils 278 are boys.

DIA [1.3K]

Answer:

49% of the pupils are boys and 51% are girls.

Step-by-step explanation:

Alright, so first, you've got to find the total number of students: 567.

Now, to find the value of 1%, you divide 567 by 100, which will give you 5.67.

Next, you divide the number of male students by the value of 1%. That's 278 ÷ 5.67 = 49.0299823633157.

Subtracting that from 100% gives you 50.9700176366843 (percentage of girls)

Now, you can't write all that down, so you'll round it! 49.0299823633157 will round down, because 0 is less than 5, so it's 49%. 50.9700176366843 rounds up, because 9 is greater than 5, so that's 51%.

Therefore, 49% of the pupils are boys and 51% are girls.

I hope this helps!

4 0

3 years ago

Part A

stepladder [879]

The combined measure is 180 degrees

3 0

3 years ago

2 times the difference between 49.5 and 37.5

Alinara [238K]

The difference means subtraction so 49.5-37.5=12 then multiply by 2. 12x2=24

6 0

4 years ago

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A financial advisor is analyzing a family's estate plan. The amount of money that the family has invested in different real esta

Pachacha [2.7K]

Answer:

The amount of money separating the lowest 80% of the amount invested from the highest 20% in a sampling distribution of 10 of the family's real estate holdings is $238,281.57.

Step-by-step explanation:

Let the random variable X represent the amount of money that the family has invested in different real estate properties.

The random variable X follows a Normal distribution with parameters μ = $225,000 and σ = $50,000.

It is provided that the family has invested in n = 10 different real estate properties.

Then the mean and standard deviation of amount of money that the family has invested in these 10 different real estate properties is:

$\mu_{\bar x}=\mu=\$225,000\\\\\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}=\frac{50000}{\sqrt{10}}=15811.39$

Now the lowest 80% of the amount invested can be represented as follows:

$P(\bar X$

The value of z is 0.84.

*Use a z-table.

Compute the value of the mean amount invested as follows:

$\bar x=\mu_{\bar x}+z\cdot \sigma_{\bar x}$

$=225000+(0.84\times 15811.39)\\\\=225000+13281.5676\\\\=238281.5676\\\\\approx 238281.57$

Thus, the amount of money separating the lowest 80% of the amount invested from the highest 20% in a sampling distribution of 10 of the family's real estate holdings is $238,281.57.

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3 years ago