Answer:
(x+5)^2+(y-8)^2=4^2
Step-by-step explanation:
I used a website called desmos.
Answer:
x = 5
Step-by-step explanation:
4x + 17 = 12x - 23
23 + 17 = 12x - 4x
<u>40</u> = <u>8x</u>
8 8
5 = x
Answer:
13/24
Step-by-step explanation:
First, it would be easier to find the common denominator of 1/3 and 1/8. The easiest way to do that is to do 3x8=24. This means the common denominator is 24 and so we must convert the fractions so they have this denominator.
1/3 --> 8/24
1/8 --> 3/24
Now, we can simply add these fractions together to find out the fraction of songs that are NOT country songs.
8/24 + 3/24 = 11/24 songs are not country songs.
To find out the fraction of songs that are country, simply do 1 (or 24/24) take away 11/24.
24/24 - 11/24 = 13/24 songs are country songs.
Answer:
c
Step-by-step explanation:
Answer:
The measure of the vertex angle is 94 degrees ⇒ A
Step-by-step explanation:
- In any triangle, the sum of the measures of its interior angle is 180°
- In the isosceles triangle, the two base angles are equal in measures
∵ In an isosceles triangle, the measure of the base angle = (2x + 5)
∵ The base angles of the isosceles triangles are equal in measures
∴ The measures of the base angles are (2x + 5), (2x + 5)
∵ The measure of the vertex angle = (5x - 1)
∵ The sum of the measure of the three angles = 180°
∴ (2x + 5) + (2x + 5) + (5x - 1) = 180
→ Add the like terms in the left side
∵ (2x + 2x + 5x) + (5 + 5 + -1) = 180
∴ 9x + 9 = 180
→ Subtract 9 from both sides
∴ 9x + 9 - 9 = 180 - 9
∴ 9x = 171
→ Divide both sides by 9 to find x
∴ x = 19
→ Substitute the value of x in the measure of the vertex angle to find it
∵ The measure of the vertex angle = 5x - 1
∴ The measure of the vertex angle = 5(19) - 1
∴ The measure of the vertex angle = 95 - 1
∴ The measure of the vertex angle = 94°
∴ The measure of the vertex angle is 94 degrees
