Answer:
A=84°
B=28°
C=68°
Step-by-step explanation:
We know the following:
A=3B --> "angle A is three times as large as angle B"
A=C+16 --> "and also 16 degrees larger than angle C"
We can find ∠C by subtracting 16 from both sides from the above statement:
C=A-16
We know that in a triangle there are 180°, therefore we can write the following equation.
A+B+C=180°
1) Substitute 3B as A in the above equation:
3B+B+C=180°
2) Substitute A-16 as C in the above equation:
3B+B+A-16=180°
3) Substitute 3B as A in the above equation:
3B+B+3B-16=180°
4) Combine alike terms:
7B-16=180
5) Add 16 to both sides:
7B=196
6) Divide both sides by 7:
B=28°
Now, lets plug in 28° as B in the first equation we deduced:
A=3B --> A=3(28)
A=84°
Now, lets plug in 84° as A in the second equation we deduced:
A=C+16 --> 84=C+16
C=68°
The product of 9 and the sum of a number and 1 is calculated as; 9 *(x + 1)
<h3>How to express algebra word problems?</h3>
We want to find out the product of 9 and the sum of a number and 1.
Now, it is vital to know that when dealing with algebraic word problems we have to take proper note of the algebraic variables and the given mathematical operations.
Now, we are told that the product of 9 and the sum of a number and 1. Let the unknown number be x and as such we can say that the expression of the given algebraic statement is given as;
9 *(x + 1)
Thus we conclude that the product of 9 and the sum of a number and 1 is calculated as; 9 *(x + 1)
Read more about Algebra Word problems at; brainly.com/question/13818690
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-456 + 4562 = 4106
Answer: 4106
Answer:
-4
Step-by-step explanation: