Answer:
x = -3
Step-by-step explanation:
Take the 3x away from the right side.
-5x-3x=-8x
-8x = -24
Divide both sides by 8.
-8x/8 = x
-24/8 = -3
x = -3
 
        
             
        
        
        
Answer:
-4z
Step-by-step explanation:
 
        
             
        
        
        
Answer:
21/20, or 1.05. 
Step-by-step explanation:
In this case, the measure of angle R is the same as angle V. 
To find the tangent of a triangle, you do opposite over adjacent. 
So, the tangent of angle V is 21 / 20. 
That means that tan(R) = 1.05. 
Hope this helps! 
 
        
             
        
        
        
Answer:
Hence proved triangle ADE ≅ triangle BCE by Side Angle Side congruent property.
Step-by-step explanation:
Given:
AD ⊥ AB  CD
 CD
BC ⊥ AB  CD
 CD
AD = BC
∴ ∠ A = ∠ B = ∠ C = ∠ D =90°
∠ EDC = ∠ ECD
Solution
∠ C = ∠ BCE + ∠ ECD⇒ equation 1
∠ D = ∠ ADE + ∠ EDC⇒ equation 2
∠ C = ∠ D (given)
Substituting equation 1 and 2 in above equation we get
∠ BCE + ∠ ECD = ∠ ADE + ∠ EDC
But ∠ EDC = ∠ ECD (given)
∴ ∠ ADE = ∠ BCE 
ED = EC (∵ base angles are same triangle is isosceles triangle)
Now, In Δ ADE and Δ BCE
AD =BC 
∠ ADE = ∠ BDE
ED = EC
∴ By Side Angle Side congruent property
Δ ADE ≅ Δ BCE
 
        
             
        
        
        
Answer:
<em><u>x = -6</u></em>
Step-by-step explanation:
7 = -2x - 5
12 = -2x
x = -6