The length of BC = 72
Solution:
Given ΔABC and ΔDEF are similar triangles.
ΔABC 
ΔDEF
AB = 54, BC = n, EF = 12, DE = 9
Similar triangle theorem:
If two triangles are similar then the corresponding sides are proportional to each other.
Substitute the given values, we get
Do cross multiplication.
Divide both sides of the equation by 9.
⇒ BC = 72
Option B is the correct answer.
The length of BC = 72.
Answer:
15 ounces
Step-by-step explanation:
Answer:
The inequality in this case is 100 + 400*t > 500 + 350*t and for B to be cheaper Sophia has to rent it for more than 8 months.
Step-by-step explanation:
In order to write the inequality we first need to write two equations one for each apartment. For apartment A we have a fixed cost of $100 and a variable cost of $400 that varies according to the time living in there, so we have:
rent = 100 + 400*t
For apartment B we have a fixed cost of $500 and a variable cost of $350 that varies according to the time living in there, so we have:
rent = 500 + 350*t
In order for the total paid in B to be less than for the one in A we need to satisfy the following inequality:
100 + 400*t > 500 + 350*t
400*t - 350*t > 500 - 100
50*t > 400
t > 400/50
t > 8 months
The inequality in this case is 100 + 400*t > 500 + 350*t and for B to be cheaper Sophia has to rent it for more than 8 months.
Answer:
37.5 square units
Step-by-step explanation:
Given:
A(-6,-4), B(6,5), C(-1,6), and D(2, 2), where CD is the altitude if ∆ABC
Required:
Area of ∆ABC
SOLUTION:
Area of a ∆ABC =½*AB*CD
✍️
✍️
✍️Area of a ∆ABC =½*AB*CD
= ½*15*5
✅ Area = 37.5 square units
Answer:
The 1st one is y = 11.
The 2nd one is y = 5.
The 3rd one is v = -5.
The 4th one is y = 9.
Step-by-step explanation:
1) -38 = 7y + 17 - 12y
-38 = -5y + 17
-55 = -5y
11 = y
2) 5y + 6 - 12y = -29
-7y + 6 = -29
-7y = -35
y = 5
3) -12v - 9 + 7v = 26
-5v - 9 = 26
-5v = 35
v = -5
4) -5y + 2(y + 2) = -5
-5y + 4y + 4 = -5
-y + 4 = -5
-y = -9
y = 9
