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Len [333]
3 years ago
8

the smallest angle in a triangle is one-third of the largest angle. the third angle is 10degrees more than the smallest angle. f

ind the messure of all three angles.
Mathematics
1 answer:
Alex787 [66]3 years ago
5 0
A: smallest 
c: largest
b: third 
a+b+c=180
a=c/3
b=10+a
solve it
a=34
b=44
c=102
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The first two terms of an arithmetic sequence are 7 and 4. Find the 7th term.
kobusy [5.1K]

EXPLANATION

If the first two terms of an arithmetic sequence are 7 and 4, then we know that an arithmetic sequence has a constant difference d and is defined by

a_n=a_1+(n+1)d

Check wheter the difference is constant:

Compute the differences of all the adjacent terms:

d=a_{n+1}-a_n

Replacing terms:

4-7 = -3

The difference between all of the adjacent terms is the same and equal to

d = -3

The first element of the sequence is

a_1=7a_n=a_1+(n+1)d

Therefore, the nth term is computed by

d= -3

a_n=7+\text{ (n-1)}\cdot(-3)

Refine

d= -3 ,

a_n=-3n+10

Now, replacing n=7

a_7=-3\cdot7+10\text{ = -11}

So, the answer is -11.

8 0
1 year ago
Please help: What is 4 1/4 divided by 3/4 equal?
Solnce55 [7]
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7 0
3 years ago
Which Operation would you do first 2x -7 = 3
Afina-wow [57]
You will at 7 to both sides and then divide 2 on both sides to find x. :)
2x-7=3
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—————
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— —-
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3 0
3 years ago
Which of the following equations represents a line that is parallel to the line 3x - 2y = 12
sveticcg [70]

Answer:

Step-by-step explanation:

12=3x-2y

2y+12=3x

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y=(3x-12)/2

y=mx+b

To be parallel to the line above our line must have the same slope or m. The above line has a slope of 3/2 or 1.5 so the parallel line will be

y=1.5x+b, using point (7,10) we can solve for the y intercept or b

10=1.5(7)+b

10=10.5+b

b=-0.5 so our line is

y=1.5x-0.5

5 0
3 years ago
Which is the correct input-output table for the function f(x) = 7 – 4.5x?
Naddika [18.5K]
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3 0
3 years ago
Read 2 more answers
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