Answer:
5m+41n
Step-by-step explanation:
4(2m+5n)-3(m-7n)
8m+20n-3m+21n
8m-3m+20n+21n
5m+20n+21n
5m+41n
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Since this is a right triangle, we can use Pythagorean theorem. Pythagorean theorem is a^2 + b^2 = c^2
a = one leg of the triangle
b = the second leg of the triangle
c = the hypotenuse of the triangle
in this problem,
a = 8 in
b = 6 in
c = ?
We need to plug our numbers into the pythagorean theorem and solve for c
8^2 + 6^2 = c^2.
Square each term on the left side.
64 + 36 = c^2
Add the terms together on the left side.
100 = c^2.
Take the square root of each side
10 = c
The missing side is 10 inches
9/27=33.3% repeating 3 = 0.3 repeating 3
18/27= 66.6 repeating 6 = 0.6 repeating 6
It tells you.
(-2, 4)
(-1, 3)
(1, 6)
(3, 5)
(4, 8)
When x is 3, y is 5. The point (3, 5) tells us that.
Consider triangles ADC and BEC.
1. BE⊥AC (statement 
) and AD⊥BC;
CB≅CA (statement 
)
Reason: Given.
2. ∠ADC (statement 
) and ∠BEC are right angles.
Reason: Perpendicular lines form right (statement 
) angles.
3. ∠BCE (statement 
) = ∠ACD (statement 
)
Reason: Reflexive Property of Congruence (statement 
).
4. ΔADC≅ΔBEC (statement 
).
Reason: HA Postulate (statement 
).
