Using the angle relationships, the sizes of the angles are:
a = 21°
b = 70°
c = 89°
<h3>What are Angle Relationships?</h3>
- Vertical angles are equal in measure.
- Two angles on a straight line are linear pair and are supplementary.
- All angles in a triangle will add up to the sum of 180 degrees.
Thus:
a = 21° (vertical angles).
b = 180 - 110 = 70° (linear pair).
c = 180 - (70 + 21) = 89° (triangle sum)
Therefore, using the angle relationships, the sizes of the angles are:
a = 21°
b = 70°
c = 89°
Learn more about angle relationships on:
brainly.com/question/12591450
First plugin 2y+4 for x
3(2y+4)+5y=32 distribute
6y+12+5y=32 combined like terms
11y+12=32 combined like terms
11y=20 divide
Y=1.818
Using a system of equations, it is found that:
- There are 8 chickens in the yard.
- There are 16 pigs in the yard.
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This question is solved using a system of equations. I am going to say that:
- x is the number of chickens.
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- A chicken has 1 head, as do a pig.
- There are 24 heads.
Thus:
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- A chicken has 2 feet.
- A pig has 4 feet.
- In total, there are 80 feet.
Thus:
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Number of chicken:
Since
There are 8 chickens in the yard.
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Number of pigs:
There are 16 pigs in the yard.
A similar problem is given at brainly.com/question/24104709
Hi there! The answers are B and E.
To find our answer we first need to work out the parenthesis.
Now we can collect terms.
Hence, B is correct and A and C are false.
To determine whether D or/and E is/are correct we need to work out the parentheses as well. When we do that we can see D ending up with a negative value of n and E with a positive value of n. Taking into account our previous results, E is correct and D is false.
Hence, B and E are correct.
Answer:
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Step-by-step explanation:
Since g(x) is the inverse of f (x) to find g(x) must first find f-¹(x)
To find f-¹(x) equate f(x) to y
That's
f(x) = y
y = 4x + 12
Next interchange the terms x becomes y and y becomes x
That's
x = 4y + 12
Next make y the subject
4y = x - 12
Divide both sides by 4
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Therefore
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Hope this helps you