Vertical angles are congruent due to the fact that they intersect. If they did not, they would in fact be parallel. (last section)
Answer:
(5,4)
Step-by-step explanation:
-x+2y=3
3x-2y=7
Add the like terms( 2y and -2y)(-x and 3x)(3 and 7) together. Do this vertically. 2y and -2y cancel eachother out.
Divide both sides by 2
To find y, substitute x in for y in one of the equations
add 5 to both sides
Divide both sides by 2
Check:
Answer:
the goal is to try and get x alone. For the 1st problem, x=3.
Step-by-step explanation:
3x + 1 = 10 Subtract 1 both sides to cancel out the 1 on the left side. 10-1 = 9
3x = 9 To get x alone here, Divide 3 on both sides. 9/3 = 3
x = 3 Now x is alone, which means x = 3.
This is right because if you plug x with 3, the sum = 10.
(3*3) + 1 =10
9 + 1 = 10
So, that's how you know 3 is the right answer.
Answer: 25
explanation:
7² + 24² = c²
49 + 576 = c²
625 = c²
c = √625
c= 25
or just know some pythagorean triples
Answer:
x=65
Step-by-step explanation:
Based on the given conditions, formulate: 157+3.75 X x=400.75
Rearrange unknown terms and Calculate the sum:
3.75x = 400.75 - 157
3.75x = 243.75
x=243.75 / 3.75
x=65
