Answer:
Option (1)
Step-by-step explanation:
From the triangles given in the picture,
Since, JK ≅ KL [Given]
JM ≅ ML [Given]
KM ≅ KM [Reflexive property of congruence]
ΔJMK ≅ ΔLMK [SSS property of congruence]
Therefore, ∠JKM ≅ ∠LKM [CPCTC]
(2x + 5) = (3x - 6)
3x - 2x = 5 + 6
x = 11
m∠JKL = m∠JKM + m∠LKM
= (2x + 5) + (3x - 6)
= 5x - 1
= 5(11) - 1
= 54
Option (1) will be the answer.
Answer:
28%
Step-by-step explanation:
total percent is 100%
we could rewrite the equation as:
48% + 24% + f = 100%
72% + f = 100%(subtract 72 on both side)
f = 28%
Answer:
Therefore,
P = { 1 , 2 , 3 , 4 , 5 }
Step-by-step explanation:
Natural numbers:
Natural numbers are those numbers starting from 1 , 2 , 3 , 4 ,......... and so on.
Also it is denoted by 'N'.
Zero does not include a natural number.
Therefore the set of natural numbers less than 6 is 1 , 2 , 3 , 4 , and 5.
Here in the question it is given that
P is the set of natural numbers
less than 6.
∴ P = { 1 , 2 , 3 , 4 , 5 }
Answer:
34%
Step-by-step explanation:
Dime = 10 cents, 10% of a dollar
Penny = 1 cent, 1% of a dollar
3 dimes = 30% of a dollar
4 pennies = 4% of a dollar
30% + 4% = 34%
Answer:
CD ≠ EF
Step-by-step explanation:
Using the distance formula
d = 
with (x₁, y₁ ) = C(- 2, 5) and (x₂, y₂ ) = D(- 1, 1)
CD = 
= 
= 
= 
Repeat using (x₁, y₁ ) = E(- 4, - 3) and (x₂, y₂ ) = F(- 1, - 1)
EF = 
= 
= 
= 
Since ≈ , then CD and EF are not congruent
