What is the answer to 12=2y
2 answers:
You might be interested in
Answer:
The length of EG is 58 units
Step-by-step explanation:
The midpoint of a segment divides it into two equal part
Let us use this rule to solve our question
∵ E, F, and G are collinear points
∵ Point F is the midpoint of segment EG
→ That means F divides EG into 2 equal segments EF and FG
∴ EF = FG
∵ EF = 5x + 9
∵ FG = 3x + 17
→ Equate them
∴ 5x + 9 = 3x + 17
→ Subtract 3x from both sides
∵ 5x - 3x + 9 = 3x - 3x + 17
∴ 2x + 9 = 17
→ Subtract 9 from both sides
∴ 2x + 9 - 9 = 17 - 9
∴ 2x = 8
→ Divide both sides by 2 to find x
∵
∴ x = 4
→ Substitute x by 4 in EF and FG to find their lengths
∵ EF = 5(4) + 9 = 20 + 9 = 29
∵ FG = 3(4) + 17 = 12 = 17 = 29
∵ EG = EF + FG
∴ EG = 29 + 29 = 58
∴ The length of EG is 58 units
Answer: The ΔVZX and ΔWXZ are not congruent by SAS.
Explanation:
It is given that the VX = WZ = 40 cm and ∠ZVX = ∠XWZ = 22°.
Draw a figure as shown below,
According to the SAS rule of congruence, two triangles are congruent if two sides and their inclined angle is equal.
From the given figure it is easily noticed that in ΔVZX and ΔWXZ,
(given)
(given)
(common side)
Since we have two sides and one angle is same. but we can not conclude that the ΔVZX and ΔWXZ are congruent by SAS, because the given angle is not the inclined angle of both equal sides.
Therefore, the ΔVZX and ΔWXZ are not congruent by SAS.