Answer:
In isosceles triangle ABC, BM is the median to the base AC and Point D is on BM as shown below in the figure;
Median of a triangle states that a line segment joining a vertex to the midpoint of the opposing side, bisecting it
M is the median of AC
then by definition;
AM = MC ......[1]
In ΔAMD and ΔDMC
AM = MC [side] [By [1]]
[Angle]
DM =DM [Common side]
Side-Angle-Side postulate(SAS) states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.
Then, by SAS,
CPCT stands for Corresponding parts of congruent triangles are congruent
By CPCT,
[Corresponding side] ......[2]
In ΔABD and ΔCBD
AB = BC [Side] [By definition of isosceles triangle]
BD= BD [common side]
AD = DC [Side] [by [2]]
Side-Side-Side(SSS) postulate states that if three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent.
Therefore, by SSS theorem,
Step-by-step explanation:
♦ Solution ♦ :-
Given Information :
The ratio of heights of the two girls = 5:7
Assumption
Consider their height be 5X cm and 7X cm
The height of the first girl = 5X cm
But According to the condition mentioned in given problem
The height of the first girl = 192 cm
=> 5X = 192
=> X = 192/5
=> X = 38.4
Therefore, X = 38.4 cm
Now the height of the second girl = 7X cm
=> 7 × 38.4 cm
=> 268.8 cm
♦ Alternative Method♦ :-
The ratio of the heights of the two girls = 5:7
The height of the first girl = 192 cm
Assume that the height of the second girl = X cm
Therefore, 5:7= 192:X
=> 5/7 = 192/X
=> 5X = 7×192
=> X = (7×192)/5
=> X = 7× 38.4
=> x = 268.8 cm
♦ Answer ♦ :-
The height of the second girl is 268.7 cm
2/3 i believe, the odds are with him. “May the odds be ever in your favour”
Idk if this is right but
Dot plot
Answer:
a) 1350 minutes
b) 790 minutes
Step-by-step explanation:
a) Firstly, we know that:
1 hour = 60 minutes
So take 10 hours out of 22,
10 hours = (60 x 10) minutes
10 hours = 600 minutes
Thus, you have another 12 hours remaining so take another 10 hours which is another 600 minutes. Finally you have 2 hours remaining.
2 hours = (60 x 2) minutes
2 hours = 120 minutes
To get the total answer, add everything and don't forget the other 30 minutes.
600 + 600 + 120 + 30 = 1350 minutes
b) Like we did before, take out 10 hours
10 hours = 600 minutes
Now we have 3 hours remaining so:
3 hours = (60 x 3) minutes
3 hours = 180 minutes
Add everything together, without forgetting the other 10 minutes.
600 + 180 + 10 = 790 minutes