When you multiply exponents with the same base, you add the exponents.
3+-5+y=-2
-2+y=-2
y=0
Final answer: y=0
Answer:
61°
Step-by-step explanation:
In order for triangle LMN and PQR to be congruent, angle M and angle Q must equal. thus, we can set 2x-26=x+16
with basic algebraic manipulation, x=42. we then plug it back into the angle M or Q, getting angle M/Q= 58°
since this is a isoceles, the 2 base angle are identical, so 180= 58+2(angle P)
thus, angle P= 61
A squared + B squared = C squared
The formula for a come is V=πr^2h/3.
<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.
