These triangles can be proven congruent by using ASA RULE.
What is congruent triangles and its rules ?
When two triangles are congruent, their three sides and their three angles match precisely.
If there is a turn or a flip, the equal sides and angles might not be in the same place, but they are still present.
ASA rule stands for Angle-Side-Angle rule which means two angles and a side of both triangles are equal.
Main Body:
In ΔTUV and ΔTWV
VT =VT ----(1)
∠VTU=∠TVW -----(2)
As TUVW is a parallelogram
so, ∠T = ∠U
hence, ∠TVU =∠VTW ----(3)
taking equation 1, 2,3
therefore, ΔTUV ≅ ΔTWV by ASA rule which means by Angle- Side- Angle rule.
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For this case we can make the following rule of three:
1507 ----> 100%
1213 ----> x
Clearing the value of x we have:
x = (1213/1507) * (100)
x = 80.4910418
Rounding off we have:
x = 80.5%
Answer:
this player has made 80.5% of free throws
X= amount of orange juice in the beginning
3/4=(3/8)X
.75=.375X
.75/.375=X
X=2
there were 2 liters in the beginning
Answer:
100
Step-by-step explanation:
Since, line a is parallel to line t ( from diagram ).
x - 30 and 70 are alternate interior angles.
Reason : -
Alternate interior angles are equal when two lines are parallel and cut by a transversal line.
x - 30 = 70
x = 70 + 30
x = 100
Answer:
3. 1/9 feet^3
Step-by-step explanation:
First, find the volume of one cube.
The volume of a cube can be found using the following formula:
V=s^3
We know that s, the side length is 1/3 feet. Therefore, we can substitute 1/3 ft in for s.
V= (1/3 ft)^3
Evaluate the exponent.
1/3 ft^3
=1/3 ft * 1/3 ft* 1/3 ft
=1/9 ft^2*1/3 ft
= 1/27 ft^3
V= 1/27 ft^3
Now find the volume of 3 cubes. We know the volume of one cube is 1/27 ft^3, therefore we can multiply 1/27 ft^3 by 3.
1/27 ft^3 * 3
Multiply 1/27 and 3.
1/27 * 3/1
=(1*3)/(27*1)
=3/27
=1/9
V= 1/9 ft^3
The volume of 3 cubes is 1/9 cubic feet, and choice 3 is correct.
