Answer:
The information we need is that the angle between the sides (that is, angle TVU for triangle TVU and angle WVX for triangle WVX) need to be equal.
These angles are vertically opposite angles, because they are formed by two lines crossing, so these angles are equal.
Step-by-step explanation:
The SAS Congruence Theorem says that if two triangles have 2 equal sides and the angle between these sides are also equal, the triangles are congruent.
In this question, we know that the sides UV and VW are congruent, as V is the midpoint of UW. We also know that TV = VX, so now we have two equal sides for each triangle.
The information we need is that the angle between the sides (that is, angle TVU for triangle TVU and angle WVX for triangle WVX) need to be equal.
These angles are vertically opposite angles, because they are formed by two lines crossing, so these angles are equal.
Now we can conclude that the triangles are congruent.
Answer:
5 feet
Step-by-step explanation:
P = 2(w + l)
P = 34
l = w + 7
34 = 2 (w + w + 7)
34 = 2w + 2w + 14
34 - 14 = 4w
20 = 4w
w = 5 feet
Since l = w + 7
l = 5 + 7
l = 12 feet
Answer:
sum of a number 2 plus3 is equal to 5
and less than its double 2×2=4 so the answer is 2
The solutions are
.
Solution:
Given equation:

Add
on both sides.

-------- (1)
(given) -------- (2)
Equate (1) and (2).

Add
on both sides.


Add 5 on both sides.


Divide by 5 on both sides, we get

Taking square root on both sides, we get

Substitute
in (1).



Substitute
in (1).



Therefore the solutions are
.
Option C is the correct answer.
Bill has 50 pennies in his drawer he finds 4 more pennies on the floor and his brother gives him x times the amount of pennies he has.