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raketka [301]
2 years ago
15

Determine the value of x in the diagram.

Mathematics
1 answer:
stiks02 [169]2 years ago
4 0
Answer:
x=30

Explanation:
The sum of the exterior angles of a quadrilateral is always equal to 360 degrees. Knowing this, we can write the following equation:

5x+5x+x+x=360
12x=360
Divide both sides by 12
12x/12=360/12
x=30

I hope this helps!
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Lita has a coin with heads on one side and tails on the other side. She is going to flip it in the air three times. What is the
inysia [295]

Answer:

The probability is 1/8

Step-by-step explanation:

In this question, we are tasked with calculating that if a coin is flipped three times, we have the outcome in the question; THH

Now before we go on to calculate this probability, we need to understand some technicalities. Flipping a coin can only result into two outcomes as there are only two sides of a coin. These are the head and the tail. What this means is that if a coin is flipped, we should only expect landing on the head and on the tail.

Now these opposite sides have equal probability. This means the probability of landing on the head = probability of landing on the tail. These probabilities are equal as they are the only two options we have. Hence, the probabilities are 1/2 each

Hence, P(H) = P(T) = 1/2

Now, we proceed to calculating the probability of HTT

this mathematically means P(H) * P(T) * P(T) = 1/2 * 1/2 * 1/2 = 1/8

8 0
3 years ago
Read 2 more answers
Two isosceles triangles have congruent base angles. The lengths of a leg and base of one triangle are 17 cm and 10 cm respective
Harman [31]

Answer:

Triangle 1:  Leg 17  Base 10

Triangle 2: Leg ???  Base 8

Set up a proportion:

17 / 10 = Leg / 8

Leg = 13.6 cm


Step-by-step explanation:


4 0
3 years ago
What is the solution to the equation?<br> 3 (4x– 1) + x = 5x – 4 (1 – 2x) + 1
Scorpion4ik [409]

Answer:

x=1

Step-by-step explanation:

12x -3 + x =5x - 4 +8x +1

13x-3=13x - 3

+3     +3

____________-

13x=13x

÷13x   ÷13x

_________

x=1

Hope this helps :D  (idk if its right srry if not)

8 0
2 years ago
There are 44 students in a class.every student plays at least 1 of the 2 sports:baseball and soccer.27 students play baseball on
Anon25 [30]
The answer is 6 students.
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3 years ago
YM is a median of the triangle below. XM = 2x + 2 and ZM = 4x - 8. What 5 points
LenaWriter [7]

Answer:

Option A: 12

Step-by-step explanation:

From the image of the triangle given, we can see that:

XM = ZM

We are given that:

XM = 2x + 2 and ZM = 4x - 8

Thus;

2x + 2 = 4x - 8

Rearrange to get;

4x - 2x = 8 + 2

2x = 10

x = 10/2

x = 5

Thus, XM = 2(5) + 2

XM = 12

4 0
3 years ago
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