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mina [271]
2 years ago
14

Help me to answer this pls​

Mathematics
1 answer:
nlexa [21]2 years ago
4 0

Problem 1

x = measure of angle N

2x = measure of angle M, twice as large as N

3(2x) = 6x = measure of angle O, three times as large as M

The three angles add to 180 which is true of any triangle.

M+N+O = 180

x+2x+6x = 180

9x = 180

x = 180/9

x = 20 is the measure of angle N

Use this x value to find that 2x = 2*20 = 40 and 6x = 6*20 = 120 to represent the measures of angles M and O in that order.

<h3>Answers:</h3>
  • Angle M = 40 degrees
  • Angle N = 20 degrees
  • Angle O =  120 degrees

====================================================

Problem 2

n = number of sides

S = sum of the interior angles of a polygon with n sides

S = 180(n-2)

2700 = 180(n-2)

n-2 = 2700/180

n-2 = 15

n = 15+2

n = 17

<h3>Answer: 17 sides</h3>

====================================================

Problem 3

x = smaller acute angle

3x = larger acute angle, three times as large

For any right triangle, the two acute angles always add to 90.

x+3x = 90

4x = 90

x = 90/4

x = 22.5

This leads to 3x = 3*22.5 = 67.5

<h3>Answers:</h3>
  • Smaller acute angle = 22.5 degrees
  • Larger acute angle = 67.5 degrees
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6. Identify the recursive formula for the sequence 3, –15, 75, –375, . . .
vlada-n [284]

Answer:

first option

Step-by-step explanation:

There is a common ratio r between consecutive terms in the sequence, that is

r = - 15 ÷ 3 = 75 ÷ - 15 = - 375 ÷ 75 = - 5

The recursive formula allows a term in the sequence to be found by multiplying the previous term by r , thus

f(n) = - 5f(n - 1) if n > 1

with f(1) = 3 ← first term

4 0
3 years ago
Which lines are parellele
natali 33 [55]

Line 1 and Line 4 are parallel lines

Solution:

General equation of a line:

y = mx + c

where m is the slope and c is the y-intercept of the line.

<u>To find the slope of each line:</u>

Line 1: y=-\frac{3}{4} x-6

Slope (m_1)=-\frac{3}{4}

Line 2: y-7=-4(x+9)

y-7=-4x-36

Add 7 on both sides, we get

y=-4x-29

Slope (m_2)=-4

Line 3: y=-2 x+6

Slope (m_3)=-2

Line 4: x+\frac{4}{3} y=-5

Subtract x from both sides, we get

\frac{4}{3} y=-x-5

Multiply  by \frac{3}{4} on both sides, we get

y=-\frac{3}{4}x-\frac{15}{4}

Slope (m_4)=-\frac{3}{4}

<em>Two lines are parallel, if their slopes are equal.</em>

From the above slopes,

m_1=m_4

Therefore Line 1 and Line 4 are parallel lines.

3 0
3 years ago
What is the volume of a rectangular prism when the measures are
grin007 [14]

L:8

W:16

H:24

8*16*24=3072

The answer is A

6 0
3 years ago
Brainliest to correct !!!
dalvyx [7]

I’m not sure if I am correct ,

Informally, each hour of overtime is like 2.5 hours of regular time, so 8 hours of overtime is like 8*2.5 = 20 hours of regular time.

So her $1470 earnings are for 40+20 = 60 hours of work.

Her regular hourly wage is 1470$/60=24.5 dollars

40(x)+8(2.5x)=1470
40x+20x=1470
60x=1470
X=1470/60
X=24.5 dollars

Answer =24.5$
4 0
2 years ago
A store holiday sale has an item marked down by $10 with an additional discount of 25% off the
ValentinkaMS [17]

Answer:

C : $58.36

Step-by-step explanation:

Given:

A store holiday sale has an item marked down by $10.

Discount on new price = 25%

Final price was $36.27.

Question asked:

what was the original ?

Solution:

Let original price = x

New price = x - 10

Original price - marked down amount - discount amount = $36.27

x - 10 -25\% of(x - 10 ) = 36.27\\

x - 10 - \frac{25}{100} (x - 10) = 36.27\\x - 10 - 0.25(x - 10) = 36.27\\x - 10 -0.25x +2.5 = 36.27\\0.75x - 7.5 = 36.27\\

Adding both side by 7.5

0.75x = 43.77\\

Dividing both side by 0.75

x = 58.36

Therefore, the original price was $58.36

5 0
3 years ago
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