Answer:
Step-by-step explanation:
<h3>Given </h3>
- Segment RS and midpoint M(-1, 13)
- S = (4, 12)
- R = ?
<h3>Solution</h3>
<u>Midpoint formula</u>
- x = (x1 + x2)/2 and y = (y1 + y2)/2
<u>Coordinates of point R</u>
- -1 = (4 + x)/2 ⇒ 4 + x = -2 ⇒ x = -6
- 13 = (12 + y)/2 ⇒ 12 + y = 26 ⇒ y = 14
- R = (-6, 14)
Answer:
1) angle 1 is 55 degrees
2) angle 2 is 55 degrees
3) angle 3 is 70 degrees
4) angles 1 and 2 are vertical
Step-by-step explanation:
1) angle 1 = 180 - (85 + 40)
2) angle 2 has the same measure of angle 1
3) angle 3 is 180 - (55 + 55)
4) angles 1 and 2 are vertical and congruent
Answer:
x = - 2, x = 10
Step-by-step explanation:
Given
x² - 8x - 20 = 0
Consider the factors of the constant term (- 20) which sum to give the coefficient of the x- term (- 8)
The factors are - 10 and + 2 , since
- 10 × 2 = - 20 and - 10 + 2 = - 8 , then
(x - 10)(x + 2) = 0
Equate each factor to zero and soilve for x
x + 2 = 0 ⇒ x = - 2
x - 10 = 0 ⇒ x = 10
Answer:
x² - 25
Step-by-step explanation:
Given:
(x-5)(x+5)
Find:
Product
Computation:
(x-5)(x+5)
(a+b)(a-b) = a² - b²
(x-5)(x+5) = x² - 5²
(x-5)(x+5) = x² - 25
Alternate:
(x-5)(x+5)
x² + 5x - 5x - 25
x² - 25
Answer:
Marci got 2 more right she had 42
