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
Step-by-step explanation:
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Answer:
The triangle will translate along the arrow and reach the head of the arrow.
Step-by-step explanation:
Translation is a category of motion in which one body moves along towards a particular direction and reaches a particular point.
In translation, the rotational motion is not present. Also, the translational motion is a one dimensional motion.
In the given figure, the triangle is present at the tail of the arrow.
The arrow depicts the direction of the translational motion.
So, the triangle will reach the end of the arrow as shown in the picture present in the attachment.
For more explanation, refer the following link:
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Solution:
<u>A few tips...</u>
- Tip-1: If "+" and "-" are multiplied, it gives a result of "-".
- Tip-2: If "-" and "-" are multiplied, it gives a result of "+".
- Tip-3: If "+" and "+" are multiplied, it gives a result of "-".
<u>Changing the sign of the given equation.</u>
- 1.25 + (-0.75)
- => 1.25 - 0.75 [Sign changes according to tip-1.]
This could only mean that the arrow would go to <u>1.25 units forward.</u> Then a second arrow will be drawn to go <u>0.75 units back.</u>
The graph that matches with the above info is Option C.
Step-by-step explanation:
a) 24.7×52.3=1291.81
On rounding off to 3 significant digits we get
1290
b)
=31.304951
On rounding off to 5 significant figures we get
=31.305
c)
![\sqrt[3]{78} = 4.27265](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B78%7D%20%20%3D%204.27265)
On rounding off to 2 significant figures we get
=4.3
Hence required answers
a)1290
b)31.305
c)4.3
I hope it helped you
