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Marat540 [252]
3 years ago
6

The folding chair has different settings that change the angles formed by its parts. Suppose m2 is 31 and m3 is 72. Find m1. The

diagram is not to scale.

Mathematics
1 answer:
bezimeni [28]3 years ago
5 0

Answer:

m∠1=103°

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

An exterior angle of a triangle is equal to the sum of the opposite interior angles

so

In this problem

m∠1=m∠2+m∠3

substitute the given values

m∠1=31°+72°=103°

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Write the first five terms of the sequence defined by the explicit formula
denis-greek [22]

<u>Answer:</u>

The correct answer option is: 19, 13, 3, -11, -29.

<u>Step-by-step explanation:</u>

We are given the following explicit formula for an arithmetic sequence:

a_n=21-2n^2

So to find the first five terms of this sequence, we will substitute the values of n (num here in the given formula:

a_1=21-2(1)^2\\\\a_1=19


a_2=21-2(2)^2\\\\a_2=13


a_3=21-2(3)^2\\\\a_3=3


a_4=21-2(4)^2\\\\a_4=-11


a_5=21-2(5)^2\\\\a_5=-29

Therefore, the first five terms of the sequence defined by the explicit formula a_n=21-2n^2 are 19, 13, 3, -11, -29.


5 0
3 years ago
Read 2 more answers
Complete the table. Will choose brainliest.
maxonik [38]

Answer:

first one is 82% second is 214%

Step-by-step explanation:

Step 1: Divide 288 by 351 to get the number as a decimal. 288 / 351 = 0.82

Step 2: Multiply 0.82 by 100. 0.82 times 100 = 82

Step 1: Divide 212 by 99 to get the number as a decimal. 212 / 99 = 2.14

Step 2: Multiply 2.14 by 100. 2.14 times 100 = 214

5 0
2 years ago
Find the slope of the line passing through the points (1, -5) and (4, 1).
wlad13 [49]

The slope of line passing through the points (1, -5) and (4, 1) is 24

Step-by-step explanation:

Slope is the steepness of a line passing through given points

Given points are:

(x1,y1) = (1, -5)

(x2,y2) = (4,1)

The slope is denoted by m. The formula for slope is:

m=\frac{y_2-y_1}{x_2-x_1}\\=\frac{1-(-5)}{4-1}\\=\frac{6}{3}\\=2

The slope of line passing through the points (1, -5) and (4, 1) is 2

Keywords: Slope, Calculation of slope

Learn more about slope at:

  • brainly.com/question/4770453
  • brainly.com/question/4771355

#LearnwithBrainly

7 0
3 years ago
Simplify 8(a+2)+2(2+3a)
Alexxx [7]

Expand

8a + 16 + 4 + 6a

Collect like terms

(8a + 6a) + (16 + 4)

Simplify

<u>14a + 20</u>

7 0
3 years ago
You saved $140 on your new laptop because you bought it online. If this was a 20% savings from the original price, Find the orig
Elenna [48]
Let the original cost of laptop=x
Savings=20% = 20/100
Saved amount = $140
Original cost = saved amount * 1/savings
x = 140* 100/20
x = $7000
5 0
3 years ago
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