Here, AB ║ CD ; EF ⊥ AB
Number of 90 degree formed by the intersections of EF and two parallel lines AB and CD is 8
Hope this helps!
Answer:
w^2+6w-112
Step-by-step explanation:
combine like terms
w^2 and 6w are not like terms
Complete Question:
Triangle abc has the angle mesausres shown.
m<A = (2x)°
m<B = (5x)°
m<C = (11x)°
Which statement is true about the angles?
A. m<A = 20°
B. m<B = 60°
C. m<A and m<B are complementary
D. m<A + m<C = 120°
Answer:
A. m<A = 20°
Step-by-step explanation:
m<A + m<B + m<C = 180° (sum of interior angles of a triangle)
(substitution)
Solve for x. Add like terms.
![18x = 180](https://tex.z-dn.net/?f=%2018x%20%3D%20180%20)
Divide both sides by 18
![\frac{18x}{18} = \frac{180}{18}](https://tex.z-dn.net/?f=%20%5Cfrac%7B18x%7D%7B18%7D%20%3D%20%5Cfrac%7B180%7D%7B18%7D%20)
![x = 10](https://tex.z-dn.net/?f=%20x%20%3D%2010%20)
Find the measure of each angle by substituting x = 10:
m<A = (2x)° = 2(10) = 20°
m<B = (5x)° = 5(10) = 50°
m<C = (11x)° = 11(10) = 110°
Therefore, the only true statement is:
A. m<A = 20°
Answer:
12/7 or 1 5/7
Step-by-step explanation:
6 * 2 = 12
so
12/7 = 1 5/7
7.) the equation of the circle is
(x - 3)^2 + (y - 4)^2 = 25
If you substitute the point in you get
(6-3)^2 + (8-4)^2 = 25
3^2 + 4^2 = 25
9 + 16 = 25
25 = 25
Both sides of the equation are the same so it proves it lies on the circle
8.) you add the x coordinates together and divide by 2
7 + 4 = 11
11/2 = 5.5
You use +7 because you need to find the midpoint.
You then add 5.5 to - 7 or - 5.5 from 4
-7 + 5.5 = - 1.5
You do the same for y coordinates
6+5 = 11
11/2 = 5.5
6-5.5 = 0.5
So the coordinates of Rachel's house are
(-1.5, 0.5)