Step-by-step explanation:
AD ≅ BC, Given
∠BCD ≅ ∠ADC, Given
CD ≅ CD, Reflexive property
ΔBCD ≅ ΔADC, SAS congruence
∠BDC ≅ ∠ACD, CPCTC
ΔECD is an isosceles triangle, definition of isosceles
DE ≅ CE, properties of isosceles triangles
Answer:
slope = - 
Step-by-step explanation:
calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (- 4, 2) and (x₂, y₂ ) = (2, - 2) ← 2 points on the line
m = 
= 
= 
= -
What is the value of X?
Simplify:
8x - 10 - 4x = - 12(12x - 20)
Simplify both sides:
8x - 10 - 4x = - 12(12x -20)
8x + - 10 + - 4x = (- 12)(12x) + ( -12)(- 20)
(Distribute:)
8x + - 10 + - 4x = 144x 240
(8x + - 4x) + ( -10) = - 144x + 240 (Combine Like Terms:)
4x + - 10 = - 144x + 240
4x - 10 = - 144x + 240
Add - 144x to both sides:
4x - 10 + 144x = - 144x + 240 + 144x
148x - 10 = 240
Add 10 to both sides:
148x - 10 + 10 = 240 + 10
148x = 250
Divide both sides by 148
148x/148 = 250/148
x = 125/74
Answer: x = 125/74 (Decimal: 1.689189)
Hope that helps!!!!
Answer:
A. -2/7
Step-by-step explanation:
slope = rise/run = 2/(-7) = -2/7
