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
2.44346x is 140 80 is 1.39626 5x is is an incomplete math problem
Answer:
d) 5/12
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Drinks:
Five diet, 10 regular.
Probability of a regular drink:
10/(10+5) = 10/15 = 2/3
Regular bag of chips:
6 fat-free, 10 regular
Probability of a regular bag of chips:
10/(10+6) = 10/16 = 5/8
What is the probability that you will buy a regular drink and a regular bag of chips?
Drink and chips are independent events, which means that we just multiply the probabilities. So
The correct answer is given by option d.
Answer: x ≥ 4
<u>Step-by-step explanation:</u>
x + 10 ≥ 14
Subtract 10 from both sides of the equation:
x ≥ 4
Graphing:
> and < symbols represent an open dot
≥ and ≤ symbols represent a closed dot
Since the solution is: x ≥ 4, we will use a closed dot and the arrow will point to the right of 4.
4 ·------------→
Because SUR=32, then RS must be 32 and because STR=64. You could also tell this because the shape in the circle is not perfectly symmetrical
