9514 1404 393
Explanation:
Here is one way to go about it.
<u>Statement</u> . . . . <u>Reason</u>
1. AD ≅ BC, AD║BC, E & F are midpoints of BC, AD . . . . given
2. (1/2)AD ≅ (1/2)BC . . . . multiplicative property of congruence (equality)
3. DF = (1/2)AD, BE = (1/2)BC . . . . definition of midpoint
4. DF ≅ BE . . . . substitution property of congruence
5. BE║DF . . . . segments of parallel lines are parallel
6. BEDF is a parallelogram . . . . BE ≅ DF, BE║DF, definition of parallelogram
Answer:
Step-by-step explanation:
Simplifying
4x + 5 = 33
Reorder the terms:
5 + 4x = 33
Solving
5 + 4x = 33
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5' to each side of the equation.
5 + -5 + 4x = 33 + -5
Combine like terms: 5 + -5 = 0
0 + 4x = 33 + -5
4x = 33 + -5
Combine like terms: 33 + -5 = 28
4x = 28
Divide each side by '4'.
x = 7
Simplifying
x = 7
Answer:
7,5
Step-by-step explanation:
pattern: +3, then -2
4+3 = 7
7-2 = 5
Answer:
99
Step-by-step explanation:
5x^2 -4x -9
5(-2)^2 -4(-2) -9
-10^2 +8 -9
100-1
99
Equation of a circle with center at (h,k) and radius of r is
(x-h)²+(y-k)²=r²
so
center (-7,10) and diameter 6
remember, diameter/2=radius=6/2=3
so
equation is (x-(-7))²+(y-10)²=3²
(x+7)²+(y-10)²=9
