Answer:
Lola was in lead for 
of a mile.
Step-by-step explanation:
We have been given that Lola and Brandon had a running race. They ran 3/10 of a mile. Lola was in the lead for 4/5 of the distance.
To find the fraction of a mile for which Lola was in the lead, we need to find 4/5 of 3/10 as:
Therefore, Lola was in lead for of a mile.
She had bread for the hungry, clothes for the naked, and comfort for every mourner, that came within her reach. Slavery soon proved its ability to divest of her heavenly qualities. Under its influence the tender heart became stone, and the lamb-like disposition gave way to one of the tiger-like fierceness. From the excerpt above, which statement best describes the changes in his mistress’s character? She was always loyal only to the laws and to her husband. He felt sorry for her since she was oppressed, too. The change in her character was inexcusable. She was unwilling to face the conflict of betraying her culture for her personal beliefs.
So we need have to understand that if we were to solve this, our answer would be 7 less than 'p' with that information we get p-7.
Tan^2x + 1 + tanx - 3 = 0 tan^2x + tanx - 2 = 0 (tanx + 2)(tanx - 1) = 0 tanx = -2 or tanx = 1 x = 2.034 radians or x = 5.176 radians or x = pi/4 radians or x = 5pi/4 radians
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
