Answer:
x = 24.5
Step-by-step explanation:
There are two similar triangles. In similar triangles the sides are in proportion.
Let's name big triangle as triangle 1 and small triangle as triangle 2.
The sides of the big triangle:
27 as base and the longest side (x + 7)
The sides of the small triangle:
base = 27 - 6 = 21
longest side = x
We need to find the value of x using proportion.
27/21 = (x + 7)/ x
By cross multiplying, we get
27(x) = 21(x + 7)
27x = 21x + 147
27x - 21x = 147
6x = 147
Dividing both sides by 6, we get
x = 147/6
x = 24.5
The value of x = 24.5
Hope you will understand the concept.
Thank you.
Answer:
x=2, y=3
Step-by-step explanation:
First, graph both equations on a rectangular coordinate system (see attached screenshot). Then, simply figure out where these two lines intersect. Since they intersect at (2,3), x=2 and y=3.
Plugging these values in the equations for x and y, you can see if these are the correct answers:
(3)=3(2)-3, (2)+(3)=5
Since both of these are true, you have the right answer.
Hope this helps!
Answer: $550
Step-by-step explanation:
How much is the profit for 1 burrito?: $8 - ($1.50+$1) = $5.5
So, profit for 100 burritos is $5.5 x 100 = $550.
Hope this helps.
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