Answer:
120 degrees
Step-by-step explanation:
eqatoin: 120=6x and the angle is 6x.
X=5
Y=8
Z=8
3x+2y-z=23 --> z=-23+2y+3x
Y=8
Substitute for -2y+4z=16
-2(8)+4(-23+2(8)+3x)=16
-16-28+12x=16
-44+12x=16
12x=60
X=5
Substitute known y and x values into z=-23+2y+3x
Z=-23+2(8)+3(5)
Z=-23+16+15
Z=8
<span>When two lines are crossed by a transversal, the lines are </span>parallel if <span>the </span>Alternate Interior Angles are equal<span>.
</span><span>Alternate Interior Angles in the diagram are 1 and 5; 4 and 8; 2 and 6 and 3 and 7.
If lines a and b are parallel, then angle 1 must equal angle 5.
If that's the case then </span><span>2x+30 equals 5x ‒ 45
</span><span>Solving 2x+30 = 5x ‒ 45
3x = 75
x = 25
So, when x = 25, the lines are parallel.
</span>
Answer:
Step-by-step explanation:
x² + 3x - 10 = 0
We have to find two numbers which multiply to -10 and have a sum of -3.
Two great numbers which match these conditions are 5 and -2!
5 + (-2) = 3
5 * (-2) = -10
So, now we can factor.
(x + 5)(x - 2) = x² + 3x - 10, right?
Now we know A and B are 5 and -2. (Please keep in mind these are not the solutions or the roots to the quadratic. When solving for the roots in a quadratic, you have to find numbers which make the equation equal to zero. Anything multiplied by zero is zero, so when you input a value into the parentheses which makes the value inside the parentheses zero, the whole equation becomes zero and this is why quadratics have up to two solutions because up to two values can make the equation equal to zero.)
Answer:
Yes
Step-by-step explanation:
At the age of 22 Alex will have twice the age of His brother who is 11 years old