Answer:
The answered would be 1/64 since it's simplified
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:
brainly.com/question/12413243
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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:
a = 15/4
Step-by-step explanation:
tan 60 = y/a
√3 = y/a
y = √3a
tan 30 = y/b
1/√3 = y / b
y = b/√3
√3 a = b/√3
3a = b
a+b = 15
a + 3a = 15
4a = 15
a = 15 / 4
Use a graphing tool and you'll see a circle form. This circle has a center of (0,0) and radius of 4. Side note: this equation is equivalent to x^2+y^2 = 16 after you divide everything by 4
Looking at the graph, the smallest x can be is -4. The largest x can be is 4. So the domain in interval notation is
![[-4,4]](https://tex.z-dn.net/?f=%5B-4%2C4%5D)
Similarly the range in interval notation is also <span>
![[-4,4]](https://tex.z-dn.net/?f=%5B-4%2C4%5D)
because the lowest you can go is y = -4. The highest you can go is y = 4</span>