Step-by-step explanation:
AC = AB + BC
25x - 19 = 9x + 7 + 5x + 7
25x - 19 = 14x + 14
25x - 14x = 14 + 19
11x = 33
x = 33/11
x = 3
AB = 9x + 7
= 9(3) + 7
= 27 + 7
= 34
Answer:
The correct answer is D. AB ≅ WX
Step-by-step explanation:
No other choice involves a pair of congruent/similar lines. If the figure is rotated clockwise, you could transpose one over the other and AB would overlay WX exactly.
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 :)
Answer:
The correct answer is option C, 228 feet
Step-by-step explanation:
As per Newton’s third law of motion:
V2 – U2 = 2 x a x S
Where V = final velocity
U = Initial Vlocity
a = acceleration (-ve)
S= distance travelled
V= 0 mph
U= 55 mph = 80.6667 ft /sec
0 – (80.6667 ft /sec)2 = 2 x (-g/2) x S
S = (80.6667 ft /sec)2 /(32.2 feet per second per second x0.5)
S = 202.1 feet
So the most nearest option is option C
