All categories

4 years ago

What is the value of x

Mathematics

1 answer:

lyudmila [28]4 years ago

4 0

Answer:

52°

Step-by-step explanation:

By remote interior angle theorem of a triangle:

115° = 63° + x° ( x is the vertical angle of one interior angle of the triangle)

x° = 115° - 63°

x° = 52°

x = 52

You might be interested in

In a survey, 22 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped

Allushta [10]

Answer:

$19.22\:$

Step-by-step explanation:

Tthe population is normally distributed and the sample size is $n=22\:$ .

Since the population standard deviation $\sigma$ is unknown and the sample standard deviation $s$ , must replace it, the t distribution must be used for the confidence interval.

Hence with degrees of freedom of 21, $t_{\frac{\alpha}{2} }=3.527$ .(Read from the t distribution table)

The 98% confidence interval can be constructed using the formula:

$\bar X-t_{\frac{\alpha}{2}}(\frac{s}{\sqrt{n} } )\:$ .

From the question the sample mean is $\bar X=32$ dollars and the sample standard deviation is $s=17$ dollars.

We substitute the values into the formula to get

$32-3.527(\frac{17}{\sqrt{22} } )\:$

$19.22\:$

Therefore, we can be 98% confident that the population mean is between is between 19.22 and 44.78 dollars.

8 0

4 years ago

Which transformation represents a reflection over the x-axis?

kakasveta [241]

Answer:

i think it is a

Step-by-step explanation:

4 0

3 years ago

Order of Operations- -6+(-30) Divided by 5-(-2)

vladimir2022 [97]

Answer:

The answer is -10

Hope this helped :)

6 0

3 years ago

Read 2 more answers

Which type of graph would best show the population of New York City over 70 years

bixtya [17]

Answer:

line graph

Step-by-step explanation:

6 0

3 years ago

compute the value of the discriminant and give the number of real solutions of the quadratic equation. -2x²+3x+5=0

SCORPION-xisa [38]

Given a quadratic equation in standard form

$y=ax^2+bx+c$

The discriminant D

$D=b^2-4ac$

tells the types of roots the equation has.

In this case, we have

$\begin{gathered} -2x^2+3x+5=0 \\ a=-2 \\ b=3 \\ c=5 \end{gathered}$

Then, the discriminant of this quadratic equation will be

$\begin{gathered} D=b^2-4ac \\ D=(3)^2-4(-2)(5) \\ D=9+40 \\ \mathbf{D=49} \end{gathered}$

Finally, the value of discriminat is 49 and as he discriminant is greater than zero then this quadratic equation has 2 different real solutions.

8 0

1 year ago