Answer: 1/2x -5
Step-by-step explanation:
Half of x , less 5. (5 less just means subtract)
Answer:
B
Step-by-step explanation:
Answer:
<h2>12x - 20y = -9</h2>
Step-by-step explanation:
The standard form of an equation of a line:
We have
Convert
<em>multiply both sides by 10</em>
<em>subtract 24x from both sides</em>
<em>change the signs</em>
<em>divide both sides by 2</em>
9514 1404 393
Answer:
90 miles
Step-by-step explanation:
Let d represent the distance to Grandma's house.
The speed going was ...
speed = distance/time
speed = d/2
The speed coming home was ...
speed = d/2.25
The difference of these speeds is 5 miles per hour:
d/2 -d/2.25 = 5
2.25d -2d = 5(4.50) . . . . . multiply by 4.50
0.25d = 22.5 . . . . . . . . . . .simplify
d = 90 . . . . . . . . . . . . . . . . multiply by 4
Grandma's house is 90 miles away.
Answer:
The proof is below
Step-by-step explanation:
Given a parallelogram ABCD. Diagonals AC and BD intersect at E. We have to prove that AE is congruent to CE and BE is congruent to DE i.e diagonals of a parallelogram bisect each other.
In ΔACD and ΔBEC
AD=BC (∵Opposite sides of a parallelogram are equal)
∠DAC=∠BCE (∵Alternate angles)
∠ADC=∠CBE (∵Alternate angles)
By ASA rule, ΔACD≅ΔBEC
By CPCT(Corresponding Parts of Congruent triangles)
AE=EC and DE=EB
Hence, AE is conruent to CE and BE is congruent to DE
