Answer:
x = 21
Step-by-step explanation:
given : angle a = 75
we need to find the value of x.
To find the value of x.
we know that it is a straight angle so the sum of angles on a line will be 180
3x + 2x + a = 180
5x + 75 = 180
5x = 180 - 75
5x = 105
x = 105/5
x = 21
Answer:
On #7.
Step-by-step explanation:
12(3+y)=5(2y+8)=
12y+36=10y+40=
12y-36=10y+40-36=
12y=10y+4=
12y-10y=4
2y=4
2y/2=4/2
y=2
<h3>
Answer: Choice C) 11 + 13 + 15 + 17 + ...</h3>
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Explanation:
We're adding terms in the form (2n+5)
The first term is when n = 3, so
2n+5 = 2*3+5 = 6+5 = 11
The next term is when n = 4, so
2n+5 = 2*4+5 = 8+5 = 13
The next term is when n = 5, so
2n+5 = 2*5+5 = 10+5 = 15
And so on
This means,

which matches with choice C. The three dots indicates the pattern goes on forever.
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Choice B does not have these dots, so that's why choice B is not the answer. If we replaced the infinity symbol with 7, then choice B would be the answer.
I.e,

Answer:
6 3/11
Step-by-step explanation:
Subtract the whole numbers: 10 - 4 = 6
Subtract the fractions: 5/11 - 2/11 = 3/11
10 5/11 - 4 2/11 = 6 3/11