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3 years ago

If the sum of the measures of the interior

Mathematics

1 answer:

Phantasy [73]3 years ago

7 0

Answer:

Thus, the number of sides: n ≈ 13 (rounded to the nearest whole number).

Step-by-step explanation:

We know that the formula of the sum of the measures of the interior angles of a polygon

Sum = (n-2) × 180°

where

n is the number of sides

In your case, since the sum of the interior angles is 1930°, then

1930° = (n-2) × 180°

so we can determine the number of sides n, such as

1930 / 180 = n-2

[1930 / 180] + 2 = n

n ≈ 12.7

If 12.7 rounded to the nearest whole number, then

n ≈ 13

Thus, the number of sides: n ≈ 13 (rounded to the nearest whole number).

You might be interested in

A personal trainer keep track of the number of minutes each of his 20 clients exercise on the treadmill and the number of calori

3241004551 [841]

Answer:

Data Point B and Data point E

Step-by-step explanation:

Data point B and data point E are the farthest and are more distant away from the best line of fit compared to other data points. The more clustered data points are, the more the correlation that exists between the variables in question.

Therefore, data point B and data point E, will cause the correlation coefficient to decrease the most.

8 0

3 years ago

Given that the points (-1,6). (3,6), (3, 1), and (-1, 1) are vertices of a rectangle, how much shorter is the width than the len

Ksju [112]

Since the given coordinates are already in order,
then and two consecutive distances between the coordinates will give length and breadth,

Using distance formula,
$\sqrt{ {( - 1 - 3)}^{2} + {(6 - 6)}^{2} } \\ = \sqrt{ { (- 4)}^{2} } \\ = \sqrt{16 } \\ = 4$
(we'll not consider the negative value since distances can't be negative)

Applying this again on 2nd and 3rd coordinates,
$\sqrt{ {(3 - 3)}^{2} + {(6 - 1)}^{2} } \\ = \sqrt{ {5}^{2} } \\ = 5$
(we'll not consider the negative value since distances can't be negative)

Since length's always gotta be greater than bredth
therefore,
the difference will be 5-4= 1 units

Hence width is 1 unit shorter than length.

Note: Unit used is "unit/s"

6 0

4 years ago

Mo bisects lmn m lmn 6x-28 m lmo x+34. find m

garri49 [273]

LMO+NMO = LMN,
x+34 + NMO = 6x-28
But, MO bisects LMN, so LMO=NMO
x+34 + x+34 = 6x-28
2x+68 = 6x-28
4x = 96
x = 24
That would makem it
24 + 34 =58 T NMO = 6(24)-28
58 + nmo = 144 - 28 = 119
116- 58 = 58

8 0

3 years ago

Read 2 more answers

Mercury orbits around the sun is 87 24/25 earth days. Venus orbits the sun in 224 7/10 earth days, and Mars orbits the sun in 68

pav-90 [236]

For this case we have the following mixed numbers:

$87 \frac {24} {25}\\224 \frac {7} {10}\\686 \frac {49} {50}$

We convert each mixed number into decimal:

Mercury orbits: $87 \frac {24} {25} = \frac {25 * 87 + 24} {25} = \frac {2175 + 24} {25} = \frac {2199} {25} = 87.96$

Venus orbits: $224 \frac {7} {10} = \frac {10 * 224 + 7} {10} = \frac {2240 + 7} {10} = \frac {2247} {10} = 224.7$

Mars orbits: $686 \frac {49} {50} = \frac {50 * 686 + 49} {50} = \frac {34300 + 49} {50} = \frac {34349} {50} = 686.98$

Answer:

Mercury orbits: 87.96

Venus orbits: 224.7

Mars orbits: 686.98

5 0

3 years ago

PLEASE FOLLOW THE DIRECTIONS AND SHOW YOUR WORK. IM OFFERING 15PTS (Way more than its worth) AND BRAINLIEST ANSWER. PLEASE HELP

Alex

I'll take this challenge since I'm not feeling lazy for once.... x would represent Gavin and y would represent Seiji.

a. $x+y=425, x-y=25$

b. I will solve your system using substitution.
$x+y-425, x-y=25$
Step 1: Solve $x+y=425$ for x
$x+y+-y=425+-y$ (add -y for both sides)
$x=-y+425$
Step 2: substitute $-y+425$ for x in $x+b=25$
$x+y=25$
 $-y+425-y=25$
$-2y+425=25$ (simplify both sides of the equation)
$-2y+425+-425=25+-425$ (add -425 to both sides)
 $-2y=-400$
$\frac{-2y}{-2} = \frac{-400}{-2}$
y=200
step 3: substitute 200 for y in $x=-y+425$
$x=-y+425$
$x=-200+425
$
$x=225$
$x=225, y= 200$

c. Already answered with the picture that is attached.

d. Gavin earned 225 dollars while Seiji earned 200 dollars.

3 0

4 years ago