The prisms are congruent if the lengths of corresponding edges are in a 1:1 ratio, the volumes and the base areas are equal and the prisms have same height
Step-by-step explanation:
For the two prisms to be congruent the following properties should hold TRUE
The lengths of corresponding edges are in a 1:1 ratio.
The volumes are equal.
The base areas are equal.
The prisms have the same height.
Answer:
Step-by-step explanation:
Sum of all three angle in a triangle=180
Given angles are 35°,45°
Let the remaining angle =x
So 35 +45+X=180
X=180-80
X=100°
Remaining angle =X=100° is the answer
Answer: 6.75 feet
Step-by-step explanation:
Since, the ratio of the side of the similar triangle = 2 : 3
Thus, by the property of similar triangle,
The ratio of the altitudes of the triangle = 2 : 3
Let the altitude of smaller triangle = 2 x
And, the altitude of larger triangle = 3 x
Where x is any number.
According to the question,
2 x = 4.5
x = 2.25
Therefore, the altitude of larger triangle = 3 × 2.25 = 6.75 feet
answer= x=20
Step-by-step explanation:
We have, 35% × x = 7
or,
35
100
× x = 7
Multiplying both sides by 100 and dividing both sides by 35,
we have x = 7 ×
100
35
x = 20
If you are using a calculator, simply enter 7×100÷35, which will give you the answer.
5=3(-2) +b
5=(-6)+b
+6 +6
11=b
