Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

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

Ivahew [28]

Answer:

$x=10\ units$

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

we know that

The height of an isosceles triangle divide the triangle into two congruent right triangles.

so

Applying the Pythagorean Theorem

$(\sqrt{74})^2 =7^2+(\frac{x}{2})^2$

solve for x

$74 =49+\frac{x^2}{4}$

$\frac{x^2}{4}=74-49$

$\frac{x^2}{4}=25$

$x^2=100\\x=10\ units$

4 0

3 years ago

At Tech High there are three math teachers, Mary, Tom, and Alex. All students at Tech High take math, with 21% taking class with

galben [10]

Answer:

The probability that a Tech High student fails math is 0.1006

Step-by-step explanation:

21% students are taking class with Mary.

Every year 4% of Mary’s students fail,

15% students are taking class with Tom

Every year 6% of Tom’s students fail.

64% students are taking class with Alex

Every year 13% of Alex's students fail.

Now we are supposed to find the probability that a Tech High student fails math.

$P(\text{Tech High student fails math}) = P(\text{taking class with Mary})\times P(\text{Mary students fail})+P(\text{taking class with Tom}) \times P(\text{Tom students fail})+P(\text{taking class with Alex}) \times P(\text{Alex student fail})$

$P(\text{Tech High student fails math}) = 0.21 \times 0.04+0.15 \times 0.06+0.64 \times 0.13$

$P(\text{Tech High student fails math}) =0.1006$

Hence the probability that a Tech High student fails math is 0.1006

8 0

4 years ago

Use the law of cosines to find each missing side. Round to the nearest tenth

Charra [1.4K]

The law of cosine helps us to know the third side of a triangle when two sides of the triangle are already known. The value of x is 117.8°. thus, the correct option is A.

<h3>What is the Law of Cosine?</h3>

The law of cosine helps us to know the third side of a triangle when two sides of the triangle are already known the angle opposite to the third side is given. It is given by the formula,

$Cos(\theta) = \dfrac{a^2+b^2-c^2}{2ab}$

where

c is the third side of the triangle

a and b are the other two sides of the triangle,

and θ is the angle opposite to the third side, therefore, opposite to side c.

As per the law of cosine, the measure of angle x can be written as,

$Cos(x) = \dfrac{12^2+5^2-15^2}{2(5)(12)}\\\\Cos(x) = \dfrac{-56}{120}\\\\x = 117.8^o$

Hence, the value of x is 117.8°. thus, the correct option is A.

Learn more about the Law of Cosine:

brainly.com/question/17289163

#SPJ1

5 0

3 years ago

Each face of a small cube has a surface area of 0.25 square meters. A larger cube has edges that are six times as long as the ed

natima [27]

Answer:

27 m^3

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Dan earns £360 over the course of a five-day week. How much is that per day?

geniusboy [140]

Answer:

£72

Step-by-step explanation:

So here you basically want to take to total amount earned and divide it by the amount of days worked and you should get your daily amount paid. (360/5=72)

5 0

3 years ago