Answer:
acute base angle = 74° , obtuse base angle = 106°
Step-by-step explanation:
Since the large triangle is isosceles with vertex angle (top angle) is 32, then the bottom 2 angles would be same (let it be x):
We know angles of triangle add up to 180, so we have:
x + x + 32 = 180
2x = 180 - 32
2x = 148
x = 148/2
x = 74
This 74 degree angle is the base acute angle of the isosceles trapezoid (lower portion). We also know opposite angles of isosceles trapezoid are supplementary (add up to 180), thus
obtuse angle + 74 = 180
obtuse angle (base) = 180 - 74 = 106
Thus, acute base angle = 74° , obtuse base angle = 106°
Answer: Add, subtract, multiply, divide
Step-by-step explanation:
Terms must be like terms in order to add or subtract. Terms do not have to be like if we are multiplying or dividing.
You cant add unlike terms when adding or subtracting, but you can use the exponent rules when multiply or dividing.
Answer:
the answer is 45 dollars
Step-by-step explanation:
its because:
Answer:
Sam had 80 dollars in his pocket. He was feeling generous, so he handed out equal amount of money to each of his friends. After he handed out the money, he had 53 dollars left. How much did Sam give out to each one of his friends?
Step-by-step explanation:
In this real-world problem, the money he had at the beginning resembles the 80 in the equation. The -3x is the money he gives out to each of his friends. The 53 on the right-hand side is the money he has left after he gives the money away.
If the probability that a household owns a pet is 0.55 then the probability that all households will have pets is equal to 0.0503.
Given that the probability that a household owns a pet is 0.55 and there are 5 houses on a block.
We are required to calculate the probability that all the five households will have pets.
Probability is basicallly the chance of happening an event among all the events possible. It cannot be negative.
Binomial probability distribution is basically the probability calculations but in different combinations.
In this we have to calculate the probability that all the houses will have the pets then the probability that all five households will have pets is equal to 
=1(0.0503)
=1*0.0503*1
=0.0503
Hence the probability that all the five households will have pets is equal to 0.0503.
Learn more about probability at brainly.com/question/24756209
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