77.20 i think i did it in my head and with a caluclator
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.
9514 1404 393
Answer:
- SAS
- not
- SSS
- AAS
Step-by-step explanation:
Look at the angles and sides that are marked, and their relationships to each other. Shared sides are congruent to themselves. Vertical angles are congruent. The possible congruence theorems are ...
SSS SAS AAS ASA (and HL for right triangles--not applicable here)
__
1. two marked sides and the vertical angle between are congruent. The triangles are congruent by the SAS theorem.
2. only one side and angle are marked. Insufficient information. Not congruent.
3. two marked sides and the shared side are congruent. The triangles are congruent by the SSS theorem.
4. the vertical angles, the marked angles, and the marked sides are congruent. The triangles are congruent by the AAS theorem.
Answer:
see explanation
Step-by-step explanation:
to find the first 4 terms substitute n = 1, 2, 3, 4 into the sequence rule
to find the 10th term substitute n = 10 into the rule
(a)
a₁ = 1² + 3 = 1 + 3 = 4
a₂ = 2² + 3 = 4 + 3 = 7
a₃ = 3² + 3 = 9 + 3 = 12
a₄ = 4² + 3 = 16 + 3 = 19
a₁₀ = 10² + 3 = 100 + 3 = 103
(b)
a₁ = 2(1)² = 2(1) = 2
a₂ = 2(2)² = 2(4) = 8
a₃ = 2(3)² = 2(9) = 18
a₄ = 2(4)² = 2(16) = 32
a₁₀ = 2(10)² = 2(100) = 200
Let the amount of money shared be x
x÷(5+3+2)×3=60
x÷10×3=60
x=60×10÷3
x=200
The amount of money shared is $200
hope it helps
