520/104=5/1=6,5/1,3=k, where k=5
The value of x in the congruent triangles abc and dec is 1
<h3>How to determine the value x?</h3>
The question implies that the triangles abc and dec are congruent triangles.
The congruent sides are:
ab = de
bc = ce = 4
ac = cd = 5
The congruent side ab = de implies that:
4x - 1 = x + 2
Collect like terms
4x - x = 2 + 1
Evaluate the like terms
3x = 3
Divide through by 3
x = 1
Hence, the value of x is 1
Read more about congruent triangles at:
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<u>Complete question</u>
Two triangles, abc and cde, share a common vertex c on a grid. in triangle abc, side ab is 4x - 1, side bc is 4, side ac is 5. in triangle cde, side cd is 5, side de is x + 2, side ce is 4. If Δabc ≅ Δdec, what is the value of x? a. x = 8 b. x = 5 c. x = 4 d. x = 1 e. x = 2
Answer:
Option c is correct
Step-by-step explanation:
From the screenshot I attached.
sinA/a=SinC/c
a/c=SinA/SinC
Thus a=cSinA/SinC
The equation that represents the amount earned is y = 12 + 2.5x
<h3>How to determine the equation?</h3>
The given parameters are:
- Chargers per day = $12
- Charges per walk = $2.5 per walk
Let the number of walks be x and the total charges per day be y.
So, we have:
y = 12 + 2.5x
Hence, the equation that represents the amount earned is y = 12 + 2.5x
See attachment for the graph
Read more about linear equations at:
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