All categories

3 years ago

Solve for x. Enter your answer in the box.

Mathematics

1 answer:

rewona [7]3 years ago

6 0

Answer:

x=61

Step-by-step explanation:

A 5 sided shape always has 540 degrees in angles in total. So, 540-90-107-144-138. Do this, and it gets you 61 degrees. Therefore x = 61 degrees

You might be interested in

Question down below

Bas_tet [7]

The answer would be 137 degrees because of supplementary angles of x and 43 degrees. Then the angle opposite of x (z) is the same as x.

4 0

4 years ago

Consider the following equation with the solution (1,3) equation 1 of the system: 2x y=5 equation 2 of the system: x-2y=-5

Slav-nsk [51]

This is the solution to the system of equations.
1st Answer: x=1
2nd Answer: y=1

4 0

3 years ago

In order to determine the average price of hotel rooms in Atlanta, a sample of 63 hotels were selected. It was determined that t

olchik [2.2K]

Answer:

Pvalue = 0.063008

Step-by-step explanation:

Given :

Sample size, n = 63

The test statistic = - 1.53

To test if average room price is significantly different from $110 ; μ = $110

H0 : μ = 110

H1 : μ < 110

From the test statistic value obtained, we could see that the test is left tailed

The Pvalue :

P(Z < - 1.53) = 0.063008

If the claim is to be tested at 5% level of confidence then

Pvalue > 0.05 ; Hence, we fail to reject the. NULL. Hence, average price is not significantly different from $110

5 0

3 years ago

Find all points on the x-axis that are 14 units from the point (6,-7) All points on the x-axis that are 14 units from the point

Maksim231197 [3]

Answer: $(6+7\sqrt{3},0)\text{ and }(6-7\sqrt{3},0)$ are the required points.

or (18.124,0) and ( -6.124,0) are the required points.

Step-by-step explanation:

Let (x,0) be the point on x -axis that are 14 units from the point (6,-7) .

Then by distance formula , we have

$\sqrt{(x-6)^2+(0-(-7))^2}=14\ \ \ [\ \because distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}]$

Taking square on both the sides , we get

$(x-6)^2+7^2=14^2\\\\\Rightarrow\ x^2+6^2-2(6)x+49=196\\\\\Rightarrow\ x^2+36-12x=147\\\\\Rightarrow\ x^2-12x=111\\\\\Rightarrow\ x^2-12x-111=0$

Using quadratic formula : $x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\dfrac{12\pm\sqrt{(-12)^2-4(1)(-111)}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{144+444}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{588}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{2^2\times7^2\times3}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm14\sqrt{3}}{2}\\\\\Rightarrow\ x=6\pm7\sqrt{3}$

so, $(6+7\sqrt{3},0)\text{ and }(6-7\sqrt{3},0)$ are the required points.

since $\sqrt{3}=1.732$

so, $(6+7(1.732),0)\text{ and }(6-7(1.732),0)$ are the required points.

i.e. (18.124,0) and ( -6.124,0) are the required points.

3 0

3 years ago

The sum of 14 and a number is equal to 7

NikAS [45]

The sum (+) of 14 and a number (x) is equal to (=) 7.

14 + x = 7

To solve, subtract 14 from both sides.

x = -7

7 0

3 years ago