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kumpel [21]
3 years ago
7

Two supplementary angles are in a ratio of 1:2, What is the measure of the large

Mathematics
1 answer:
ElenaW [278]3 years ago
4 0
The large angle = 120 degrees
Supplementary angles are two angles whose measures add up to 180°
Since we know from the ratio that one angle is twice the size of the other, the angles have to be 60 and 120.
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Maria has an 8 sided die that is numbered from 1 to 8 she rolls the die 96 times about how many times can she expect to roll an
Lelechka [254]

12 times, 96/8 = 12. :)+

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HELPPPP MEEEEEEEE ! Can you have a right triangle where the lengths of the legs are whole numbers and the length of the hypotenu
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.
Dahasolnce [82]

Answer:

Option A is correct.

Step-by-step explanation:

Given

  • The point (4, -8)
  • Slope m = 1/4

To determine

What is the equation in the standard form of the line that passes through the point (4, −8) and has a slope of 1/4.

Using the point-slope form of the line equation

y-y_1=m\left(x-x_1\right)

where

  • m is the slope of the line
  • (x₁, y₁) is the point

substituting the values m = 1/4 and the point (4, -8)

y-y_1=m\left(x-x_1\right)

y-\left(-8\right)=\frac{1}{4}\left(x-4\right)

y+8=\frac{1}{4}\left(x-4\right)

Subtract 8 from both sides

y+8-8=\frac{1}{4}\left(x-4\right)-8

y=\frac{1}{4}x-1-8

y=\frac{1}{4}x-9

Writing the equation in the standard form

As we know that the equation in the standard form is

Ax+By=C

where x and y are variables and A, B and C are constants

so

y=\frac{1}{4}x-9

x=4y+36

x - 4y = 36

Therefore, the equation in the standard form of the line that passes through the point (4, −8) and has a slope of 1/4 will be:

x - 4y = 36

Hence, option A is correct.

3 0
3 years ago
The amount of garbage, G, in tons per week, produced by a city with population p, measured in thousands of people, is given by G
ExtremeBDS [4]

Answer:

12 = f(40)

Step-by-step explanation:

From the given information:

We are being told that:

G = tons per week

p = people in thousands

However, the relation existing between the amount of garbage that is produced by a city with population p can be expressed as:

G = f(p)

Similarly, they said there exists a total population of 40000 persons in the town of Tola. i.e. 40 thousand and also 12 tons of garbage is produced by week i.e. that will be the value for G.

Then, we have:

12 = f(40)

4 0
3 years ago
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