Answer:
AD ≅ CD.
Step-by-step explanation:
Statement : consider triangles ADB and DBC.
1) AB = CD
2) ∠ABD = ∠DBC
3) DB = DB
4) ⇒ ΔADB and ΔDBC are congruent triangles.
5) AD = DC.
Reasons ;
1) given, AB = CB
2) given, DB bisects ∠ ABC
3) common side of both triangles
4) as two sides and one angle are equal in both triangles
5) congruent triangles
Answer:
0.16
Step-by-step explanation:
As it is stated that the card having the label of a dog has a probability of 0.4. Hence, the probability that they both choose a card labeled dog is 0.16.
Answer:
The Length of JM is 20.
Step-by-step explanation:
Given,
JKLM is a kite in which JL and KM are the diagonals that intersect at point A.
Length of AK = 9
Length of JK = 15
Length of AM = 16
Solution,
Since JKLM is a kite. And JL and KM are the diagonals.
And we know that the diagonals of a kite perpendicularly bisects each other.
So, JL ⊥ KM.
Therefore ΔJAK is aright angled triangle.
Now according to Pythagoras Theorem which states that;
"The square of the hypotenuse is equal to the sum of the square of base and square of perpendicular".
On putting the values, we get;
On taking square root onboth side, we get;
Again By Pythagoras Theorem,
On putting the values, we get;
On taking square root onboth side, we get;
Hence The Length of JM is 20.
2^5 + (4 + 3 + 1) = 40
((5 x 3) + (4 + 1)) x 2 = 40
The kids have to wait for 1 hour to get their bags.
<u>Step-by-step explanation:</u>
Given that,
A bus with kids and a truck with their bags started moving from the school to the camp at the same time.
- The speed of the bus was 60 mph.
- It took kids 3 hours to reach the camp.
<u>To find the distance traveled by the bus :</u>
⇒ Distance = Speed × Time
⇒ 60 × 3
⇒ 180 m
∴ The distance is 180 m.
<u>To find the time taken by the truck to reach the camp :</u>
- The speed of the truck was 45 mph.
- We found the distance as 180 m.
Time taken = distance / speed.
⇒ 180 / 45
⇒ 4 hours.
∴ The time taken by the truck to reach the camp is 4 hours.
<u>To find how long the kids have to wait for their bags :</u>
The time taken by the truck to reach the camp - the time it took for the kids to arrive.
⇒ 4 hours - 3 hours
⇒ 1 hour.
∴ The kids have to wait for 1 hour to get their bags.
