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.
We are given ratio 456:8.
The given ratio can be written in fraction form as
In order to find the rate, we need to divide 456 by 8, because it would give the unit value.
When we divide 456 by 8, we first take multiple of 8 closer to the number 45.
8*6=48 but it's greater than 45, so we would take 8*5 =40.
Subtracting 40 from 45, we get 5.
Getting 6 down, we get 56. Take multiple of 8 upto 56.
8*7= 56.
56 -56=0.
So, on dividing 456 by 8 we got 57.
Therefore, rate is 57 per unit.
Answer:
144
Step-by-step explanation:
2( 1/2 × 3 × 4 ) + ( 11 × 5) + ( 11 × 4 ) + ( 11 × 3)
= 12 + 55 + 44 + 33
= 144
Answer:
2 hours
Step-by-step explanation:
First we need to know the distance Liam travelled using the bike.
If his speed was 8 mph and he travelled 3 hours, the distance travelled by bike is:
d = 8 * 3 = 24 miles
The total distance is 30 miles, so the remaining is:
30 - 24 = 6 miles
He travelled 6 miles with the speed of 3 mph, so the time walking is:
time = 6 / 3 = 2 hours