Answer: x = 3
Step-by-step explanation:Simplifying
12 + 5x = 18 + 3x
Solving
12 + 5x = 18 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
12 + 5x + -3x = 18 + 3x + -3x
Combine like terms: 5x + -3x = 2x
12 + 2x = 18 + 3x + -3x
Combine like terms: 3x + -3x = 0
12 + 2x = 18 + 0
12 + 2x = 18
Add '-12' to each side of the equation.
12 + -12 + 2x = 18 + -12
Combine like terms: 12 + -12 = 0
0 + 2x = 18 + -12
2x = 18 + -12
Combine like terms: 18 + -12 = 6
2x = 6
Divide each side by '2'.
x = 3
Simplifying
x = 3
The answer is c your welcome
Original vertices:
1 (-3, 2)
2 (-5,-4)
3 ( 4, 6)
4 ( 7, 0)
dilated by a scale factor of 0.50
1) -3*0.50 = -1.5 ; 2 * 0.50 = 1 ⇒ (-1.5,1)
2) -5*0.50 = -2.5 ; -4*0.50 = -2 ⇒(-2.5,-2)
3) 4*0.50 = 2; 6*0.50 = 3 ⇒ (2,3)
4) 7*0.50 = 3.5; 0*0.50 = 0 ⇒ (3.5,0)
B.)
-1.5 -2.5 2 3.5
<span> 1 -2 3 0 </span>
The value of angle x of the given cyclic segment is; 49.5°
<h3>How to find the angle of an arc?</h3>
We are given the measure of the angle of arc QS as (4x – 18)°
Now, to find the measure of arc QS, this angle is to be equal to 180° and as such;
Thus;
(4x – 18)° = 180°
4x - 18 = 180
4x = 180 + 18
4x = 198
x = 198/4
x = 49.5°
The angle subtended by the arc at the center of a circle with center C is the angle of the arc. It is denoted by. m AB, where A and B are the endpoints of the arc. With the help of the arc length formula, we can find the measure of arc angle.
The formula to measure the length of the arc is;
Arc Length Formula (if angle θ is in degrees); s = 2πr (θ/360°)
Arc Length Formula (if θ is in radians) s = ϴ × r.
Thus, the value of x of the given cyclic segment is; 49.5°
Read more about arc angle at; brainly.com/question/2005046
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15 degrees lower than 7 degrees means that we have to subtract.
So we have 7 degrees and it wants 15 degrees lower, so we would do 7 - 15
And so 7-15 = -8
So 15 degrees lower than 7 degrees would be -8 degrees. :)
