Answer:
The length of AC is;
C. 50
Step-by-step explanation:
By the midpoint of a triangle theorem, we have that a segment that spans across and intersects with the midpoints of two sides of a triangle is equal to half the length of the third side and parallel to the length of the third side
The given parameters are;
The midpoints of ΔACE are B, D, and F
The length of EC = 44
The length of DF = 25
Therefore, we have;
Given that DF is a midsegment of triangle ΔACE, then DF ║ AC and
the length of DF = (1/2) × AC the length of AC
∴ The length of AC = 2 × The length of DF
The length of DF = 25
∴ The length of AC = 2 × 25 = 50
The length of AC = 50
Answer:
26 2/3 yards,
Step-by-step explanation:
First convert 3 1/3 to an improper fraction:
3 1/3 = (3*3 + 1) / 3 = 10 /3.
So for 8 quilts we need (10/3) * 8
= 80/3
= 26 2/3 yards,
The cost per day is $65 per day, the total cost for 8days will be:
8×65
=520
suppose that E is the number of miles she can drive without exceeding $600.
Thus
0.24×E+520=600
hence solving for E we get
0.24E=600-520
0.24E=80
hence
E=80/0.24
E=333.3333
E~333
Answer:
378.5 or just 378
Step-by-step explanation:
This is a linear model with x representing the number of generations that's gone by, y is the number of butterflies after x number of generations has gone by, and the 350 represents the number of butterflies initially (before any time has gone by. When x = 0, y = 350 so that's the y-intercept of our equation.)
The form for a linear equation is y = mx + b, where m is the rate of change and b is the y-intercept, the initial amount when x = 0.
Our rate of change is 1.5 and the initial amount of butterflies is 350, so filling in the equation we get a model of y = 1.5x + 350.
If we want y when x = 19, plug 19 in for x and solve for y:
y = 1.5(19) + 350
y = 378.5
Since we can't have .5 of a butterfly we will round down to 378
Answer:
its the second option
Step-by-step explanation:
hope this helps