Answer: ∠ J = 62° , ∠ K = 59° , ∠ L = 59°
<u>Step-by-step explanation:</u>
It is given that it is an Isosceles Triangle, where L J ≅ K J
It follows that ∠ K ≅ ∠ L
⇒ 5x + 24 = 4x + 31
⇒ x + 24 = 31
⇒ x = 7
Input the x-value into either equation to solve for ∠ K & ∠ L:
∠ K = 5x + 24
= 5(7) + 24
= 35 + 24
= 59
∠ K ≅ ∠ L ⇒ ∠ L = 59
Next, find the value of ∠ J:
∠ J + ∠ K + ∠ L = 180 Triangle Sum Theorem
∠ J + 59 + 59 = 180
∠ J + 118 = 180
∠ J = 62
Answer:
1.27 × (10^73)
Step-by-step explanation:
55!
= 1.2696403 × (10^73)
Answer:
x=-2.4 or x= - 12/5
Step-by-step explanation:
hope that helps.
Answer:
-2
Step-by-step explanation:
(6 + 2^2) - 4 x 3
6 + 2 * 2 - 4 x 3
6 + 4 - 12
10 - 12
-2
Answer:
30% profit
Step-by-step explanation:
The amount by which the shopkeeper reduced the advertised selling price = 20%
The resulting profit over the cost price = 4%
Let x represent the initial advertised selling price, and let y represent the new selling price, and let c represent the cost price, we have;
x - 20% of x = y
x - x × 20/100 = y
0.8·x = y
y = c + 4% of c = 1.04·c
∴ 0.8·x = 1.04·c
x = 1.04·c/0.8 = 1.3·c
x = 1.3·c = c + 0.3·c = c + 30% of c
x = c + 30% of c
From which we have that the initial advertised selling price, x = The cost price + 30% of the cost price
Therefore, the initial advertised selling price = The cost price + 30%profit on cost price.
The shopkeeper would have made 30% profit if the dress had then been sold at the original selling price.
