Answer:
I do not know if there is this worksheet online which comes with answers, but you can post questions here on brainly, and I can help you clarify them!!
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Answer:
x = 30°
y = 115°
Step-by-step explanation:
Given = AB ║ DC
∠A = 2x + 10
∠B = 65
∠C = y
∠D = 3x + 20
( AD is the transversal on the parallel lines AB and DC)
∴ ∠A + ∠D = 180 and ∠B + ∠C = 180
(1) ∠A + ∠D = 180
2x + 10 + 3x + 20 = 180
5x + 30 = 180
5x = 180 - 30 = 150
x = 150÷5
x = 30°
(2) ∠B + ∠C = 180
65 + y = 180
y = 180 - 65 = 115
y = 115°
Area of the rectangle :
A = L x W
For the tennis court:
A ( Tennis Court ) = 40 m x 20 m = 800 m²
For the basketball court:
A ( Basketball Court ) = 28 m x 15 m = 420 m²
800 m² -<span> 420</span> m² = 380 m²
Answer: The tennis court is bigger than the basketball court for 380 m². It is not 2 times bigger ( 420 m² x 2 = 840 m² > 800 m² ).
Answer:
There are 8 penguins and 6 reindeers.
Step-by-step explanation:
Since Brian, the gorilla, was planning a party for his zoo friends, and he sent his elves Jamie and Nancy into the North Pole exhibit to count the penguins and reindeer, and Jamie said there were 40 legs and Nancy said there were 14 heads To determine how many penguins and reindeer were in the exhibit, the following calculation must be performed:
Penguins: 1 head and 2 legs
Reindeers: 1 head and 4 legs
40 - (14 x 2) = X
40 - 28 = X
12 = X
12/2 = 6
14 - 6 = 8
8 x 2 + 6 x 4 = X
16 + 24 = X
40 = X
Therefore, there are 8 penguins and 6 reindeers.
Answer: The P(e or f) is the P(e) + P(f) when they are disjoint events.
Disjoint events are events that are independent of each other.
Imagine rolling a die. The probability of rolling a 1 is independent of rolling a 2. Both of these probabilities are 1/6.
To find the probability of rolling either a 1 or 2, P(1 or 2) we simply add the 2 probabilities together.