All categories

3 years ago

Solve for x. hint:half circle.

Mathematics

1 answer:

Romashka [77]3 years ago

4 0

Answer:

$x = 10$

Step-by-step explanation:

Given

The attached circle

Required

Find the measure of x

From the attached image:

$11x + 2$ and $-2 + 7x$ form a semi-circle

So:

$11x + 2 -2 + 7x = 180$

Collect like terms

$11x + 7x = 180+ 2 -2$

$18x = 180$

Solve for x

$x = \frac{180}{18}$

$x = 10$

You might be interested in

The center of the inscribed circle of Triangle ABC is point , and the center of the circumscribed circle of Triagnle ABC is poin

quester [9]

Answer:

Part A: The center of The inscribed circle is the point S

Part B: The center of The circumscribed circle is the point P

Step-by-step explanation:

Part A: Find the center of The inscribed circle of ΔABC

The inscribed circle will touch each of the three sides of the triangle in exactly one point,

The center of the inscribed circle is the point of intersection between the angle bisectors of the triangle.

So, According to the previous definition:

A₁A₂ and B₁B₂ are the angle bisectors of ∠A and ∠B

So, the inter section between them is the center of The inscribed circle

So, the center of The inscribed circle is the point S

=====================================================

Part B: Find the center of The circumscribed circle of ΔABC

The circumscribed circle is the circle that passes through all three vertices of the triangle.

The center of the circumscribed circle is the point of intersection between the perpendicular bisectors of the sides.

So, According to the previous definition:

P₁P₂ and Q₁Q₂ are the perpendicular bisectors of AB and BC

So, the inter section between them is the center of The circumscribed circle

So, the center of The circumscribed circle is the point P

5 0

4 years ago

Kayla was at the surface of a swimming pool and recorded the following two measurements, in feet, on a number line: −9, which re

maria [59]

A) 0 represents the surface of the pool.
B) The height of the pool is 10 above the pool surface
C) It should be -3 since it is going down so it is going to be a negative number and it is also below the pool's surface.

4 0

3 years ago

Read 2 more answers

Multiply or divide as indicated. x^4 • x^-2

Anettt [7]

The answer is 0 unless I did the math wrong

If so someone correct me. Other than that, hope this helped!

8 0

4 years ago

Read 2 more answers

The grade point averages (GPA) for 12 randomly selected college students are shown on the right. Complete parts (a) through (c)

Ilya [14]

Answer:

$\bar X =\frac{2.3+3.1+2.8+1.7+0.9+4+2.1+1.2+3.6+0.2+2.4+3.2}{12}=2.29$

$s=1.09$

Step-by-step explanation:

For this case we have the following data given:

2.3 3.1 2.8

1.7 0.9 4.0

2.1 1.2 3.6

0.2 2.4 3.2

Since the data are assumedn normally distributed we can find the standard deviation with the following formula:

$\sigma =\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n}}$

And we need to find the mean first with the following formula:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

And replacing we got:

$\bar X =\frac{2.3+3.1+2.8+1.7+0.9+4+2.1+1.2+3.6+0.2+2.4+3.2}{12}=2.29$

And then we can calculate the deviation and we got:

$s=1.09$

7 0

3 years ago

Read 2 more answers

Pls help me with this proof! I only have a short amount of time

Anna35 [415]

Because it is in the middle of those given points

7 0

3 years ago