Answer:
m∠CAF is 28°
Step-by-step explanation:
The given parameters are;
EG = 3, EB = 8, A_F = 7, m∠EBG = 23°, ∠EGF 32°, and m∠CAE = 51°
From the diagram, we have;
m∠EBG = m∠EAD ; 
Given
Therefore, m∠EAD = 23°
m∠CAE = m∠CAF + m∠EAD Angle addition postulate
Therefore, we have;
51° = m∠CAF + 23°
m∠CAF = 51° - 23°
m∠CAF = 28°
Y=-21/2x+1 Since y is your independent variable it remains by itself
90% = 90/100 which simplifies to 9/10
Answer:
B. The student did not properly apply the addition property to isolate x
Explanation:
When given an equation to solve, always remember that when you do an external operation (add/subtract/multiply a term or divide by a term) on one side of the equation, the same operation should be applied on the other side in order to maintain the equality of the equation.
Now, let's take a look on the steps done:
Step 1:
3 = 2 - x
Step 2:
3 = 2 - 2 - x
Step 3:
3 = -x
Now, note n step 2, the student wanted to get rid of the 2 next to the x, therefore, he subtracted 2. However, the student did not subtract the 2 from the other side of the equation. Since we're taking addition (we're adding a -2), therefore, the student incorrectly applied the addition property to isolate the x.
The correct steps would be as follows:
Step 1:
3 = 2 - x
Step 2:
3 - 2 = 2 - 2 - x
Step 3:
1 = - x
Hope this helps :)
20x+ 5y = 15
Move 20x to the other side. Sign changes from +20x to -20x
20x-20x+5y=-20x+15
5y=-20x+15
Divide both sides by 5
5y/5=y ( Cross out 5 and 5, divide by 5, 1*1*y=y)
-20/5=-4x
15/5=3
y=-4x+3 or y=3-4x
Answer: y=-4x+3 or y=3-4x
