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elixir [45]
3 years ago
8

Find the 76th term of the arithmetic sequences 16 14 12

Mathematics
1 answer:
grigory [225]3 years ago
7 0

Answer:

a₇₆ = - 134

Step-by-step explanation:

The n th term of an arithmetic sequence is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 16 and d = a₂ - a₁ = 14 - 16 = - 2, then

a₇₆ = 16 + (75 × - 2) = 16 - 150 = - 134

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Find the value of b. Then find the angle measures of the pentagon.
melamori03 [73]

Answer:

b = 90

Step-by-step explanation:

Sum the interior angles of the pentagon and equate to 540

Starting from the top and going clockwise

b + b + 45 + 90 + 2b - 90 + \frac{3}{2} b = 540 ← simplify left side

\frac{11}{2} b + 45 = 540 ( multiply through by 2 to clear the fraction )

11b + 90 = 1080 ( subtract 90 from both sides )

11b = 990 ( divide both sides by 11 )

b = 90

Thus

b + 45 = 90 + 45 = 135

2b - 90 = 2(90) - 90 = 180 - 90 = 90

\frac{3}{2} b = \frac{3}{2} × 90 = 135

The angle measure from the top clockwise are

90°, 135°, 90°, 90°, 135°

7 0
2 years ago
You roll a number cube with 6 sides two times. What is the probability of rolling a number greater than 2 and an odd number?
svetoff [14.1K]

Answer:

lol you've asked like 10 probability questions in 20 minutes i wonder what chapter you're studying

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
write the equation of the line using the given information. type your awnser in slope intercept form,y=mx+b​
faltersainse [42]

Answer:

y=3/-1x+4

Step-by-step explanation:

Okay so first thing you need to know is that if there is an ordered pair (x, y) where x is 0, your y-intercept is your y. For example, your problem has (0, 4) your x is 0 and your y is 4. Therefore your y-intercept is 4 which is the b. To find your mx, or slope, you need to do (y2-y1)/(x2-x1). Your y2 will be your y in your second ordered pair and your y1 will be in your y in the first ordered pair. Same for your x. So, (4-1)/(0-1) which equals 3/-1. 3/-1 is your slope. So, your answer in slop intercept form is: y= 3/-1x+4. You could also try y= -3x+4 if that makes you more comfortable.

I know this is long this is my first time doing this lol.  

5 0
3 years ago
Instructions: Find the measure of the indicated angle to the<br> nearest degree
Artemon [7]

Answer:

? = 57

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos ? = adj/ hyp

cos ? = 14/26

Taking the inverse cos of each side

cos ^-1 ( cos ?) = cos ^-1 ( 14/26)

? = 57.42102961

To the nearest degree

? = 57

5 0
2 years ago
A rectangular flower garden in samanthas backyard has 180 ft around its edge. the width of the garden is 40 ft.what is the lengt
sasho [114]
Given is,
the total edges= 180 ft
width= 40 ft
so, 40 ft minus from 180 fts
total edge-width= length
180ft -40 ft= length
140ft = length
6 0
3 years ago
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