Answer:
False
Step-by-step explanation:
That's your answer
Answer:
C. No Solution
Step-by-step explanation:
1. 0.5(2x + 8) = x - 4
2. 1x + 4 = x - 4
3. subtract x from both sides your left with 4 = -4 thats not correct so you have no solution
<h3>
Answer: 9 units</h3>
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Explanation:
For now, focus on triangle ABD. This is a right triangle due to BD being an altitude.
Use the pythagorean theorem to find that...
(AD)^2 + (BD)^2 = (AB)^2
(1)^2 + (BD)^2 = (3)^2
1 + (BD)^2 = 9
(BD)^2 = 9-1
(BD)^2 = 8
Normally we would isolate BD itself, but I'll stop short and use that last line instead.
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The triangles ABD and BCD are similar triangles (we can prove this using the AA similarity theorem).
Since we have similar triangles, we can form the proportion shown below
AD/BD = BD/CD
This cross multiplies to
AD*CD = (BD)^2
We know that AD = 1 and (BD)^2 = 8, so,
AD*CD = (BD)^2
1*CD = 8
CD = 8
This then means,
x = CD+DA
x = 8+1
x = 9
AC is 9 units long.
A) D + Q = 15
B) .10 D + .25Q = 2.85
Multiplying equation A by -.10
A) -.10 D -.10 Q = -1.5 Then adding this to B)
B) .10 D + .25Q = 2.85
.15Q = 1.35
9 Quarters
and if there are 15 coins there are 6 dimes