Hence, The value of x in the congruent triangles abc and dec is 1
<h2>What is geometry?</h2>
the branch of mathematics concerned with the properties and relations of points, lines, surfaces, solids, and higher dimensional analogs.
<h3>How to solve?</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
learn more about congruent triangles: brainly.com/question/12413243
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Cool question (Although it is tough somewhat)
1st step is to visualize the change from C to C'
we have C'(8,-3) and C(3,-8) supposedly for C because it doesn't show any real values.. Nonetheless
from C to C' there has been a rotation of 90 degrees clockwise
proof:
Clockwise 90 degrees rotation law : (x,y) --> (y,-x) and it proves the change from C to C'
Therefor
all left to do is estimate the B point coordinates and implement the law of rotation
B(8,-7) Now implement a rotation of 90 degrees clockwise
we would get
B'(7,-8)
Hope that helps
Answer:
igle is 180
VX
Step-by-step explanation:
AB
MA
B
F
с
AAB=BC,AM=MC
BM IAC , EF I BC1.38371248486|ᡕᠵ᠊ᡃ່࡚ࠢ࠘ ⸝່ࠡࠣ᠊߯᠆ࠣ࠘
In this problem, you are looking at a pair of similar trapezoids. So we must be looking for a ratio between a side in the smaller trapezoid and the corresponding side in the bigger trapezoid. We are given the lengths of AB and EF, which we can use to find this ratio.
But before we do anything we must convert units so that all units are the same. Let's convert the 60 feet into inches. 60 feet is 720 inches.
Next, set up the ratio I mentioned earlier. If we set up the ratio so that it is smaller:larger, we would get 4:720, which simplifies to 1:180. Basically what this ratio says is that every 1 inch in the smaller trapezoid corresponds to 180 inches in the bigger trapezoid. Now we can use this ratio to find the lengths of the sides in the bigger trapezoid. Just multiply all the lengths of the smaller trapezoid by 180 to get the lengths for the bigger trapezoid. Finally, when we have all our side lengths, divide them all by 12 (because 12 inches in 1 foot) to get the measurements in feet.
From here, I'll let you find the total length yourself.