Given:
The triangles DEF is similar to GHF.
The objective is to find a similar ratio of DF/DE.
Explanation:
Using the basic proportionality theorem, for the similar triangles DEF and GHF,
Considering the first two ratios of equation (1),
On interchanging the segments further,
Hence, the required segment in the blanks is GF/GH.
9x-31x+36
-22+36=14 is the answer!
5 pounds of banana = 5 x $0.8 = $4
5 pounds of apple = 5 x $ 1.4 = $7
total cost = $4 + $7 = $11
Answer:
x=3
Step-by-step explanation:
P= 4
since we know that the length of each side of a square increased by 6 inches,
x+6
36=4(x+6)
x=3
Sorry, I didn’t do the steps to show how I got my answer as 3. Hope this helps!
The answer is all of the students are members of the frequent visitor program.
Let x be the number of students that are members of the frequent visitor program.
Let y be the number of students that are not members of the frequent visitor program.
There are in total 19 students: x + y = 19
x students will pay $11, y students will pay $13 for the ticket. Totally, it will be $209: 11x + 13y = 209
Now, we have the system of two equations:
x + y = 19
11x + 13y = 209
____________
Use the method of substitution:
x + y = 19
⇒ x = 19 - y
____________
11(19-y) + 13y = 209
11·19 - 11·y + 13y = 209
209 - 11y + 13y = 209
____________
Rearange:
13y - 11y = 209 - 209
2y = 0
⇒ y = 0
Since y = 0, x = 19:
x + y = 19
x + 0 = 19
x = 19
This means that all of the students in the group are members of the frequent visitor program.
