9514 1404 393
Answer:
x = 12
Step-by-step explanation:
Sides of similar figures are proportional, so ...
AB/FE = BC/EC
x/6 = 10/5
x = 6·(10/5) . . . multiply by 6
x = 12
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.
Answer:
C. Yes, 3.5.
Step-by-step explanation:
If there is a relationship of direct proportionality for every ordered pair of the table, then the constant of proportionality must the same for every ordered pair. The constant of proportionality () is described by the following expression:
(1)
Where:
- Input.
- Output.
If we know that , and , then the constants of proportionalities of each ordered pair are, respectively:
Since , the constant of proportionality is 3.5.
Rectangle diagonals are equal.
2(5a+1) = 2(a+1)
10a + 2 = 2a + 2
10a -2a = 2 - 2
8a = 0
⇒ a = 0
AC = 2(5a+1) = 2(5 × 0 +1)= 2(0 + 1) = 2 × 1 = 2 <span>
</span>BD = 2(a+1) = 2(0 + 1) = 2 <span>× 1 = 2
</span>
Ansver: AC = BD = 2