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Svetlanka [38]
2 years ago
7

you are given the measure of angle 4. You also know the following angles are supplementary: Angles 1 and 2, angles 2 and 3, angl

es 1 and 4. Explain how you can determine the measures of angles 1, 2, and 3.

Mathematics
1 answer:
Harrizon [31]2 years ago
4 0
If you are given the measure of angle 4, then we know angle 2 is equal since it is a vertical angle. The angle of a line is 180 degrees, so subtract the measure of angle 4 (and/or 2) which  will give you the angle measure for both angle 1 and 3, since those are also equal due to vertical angles. Hope that helped! :)
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Find the point on the line y = 3x + 2 that is closest to the origin.
anzhelika [568]
1.
the slope of the line y=3x+2 is the coefficient of x, that is 3.

2.
the slope of any line perpendicular to the line y=3x+2, is m, such that:

3*m=-1

so m= \frac{-1}{3}

3. 
so any line with equation y=-1/3x+k is perpendicular to y=3x+2.

moreover, the line y=-1/3x (so k=0) is the line passing through the origin
(0, 0) and perpendicular to y=3x+2


4. This means that the closest point of y=3x+2 to the origin is the intersection point of lines y=3x+2 and y=-1/3x

5.
to find this point:

3x+2=(-1/3)x
x(3+1/3)=-2
x(9/3+1/3)=-2

x*10/3=-2

x= \frac{-2*3}{10} = \frac{-6}{10}=-0.6


thus y is :  (-1/3)(-6/10)=0.2



Answer: (-0.6, 0.2)

3 0
3 years ago
Toronto FC have lost 25% of their games if they have played 16 games how many would they have lost
bija089 [108]

Answer:

4

Step-by-step explanation:

4 0
3 years ago
Tom read 20 books, 12 magazines, and 18 newspaper articles last year.
neonofarm [45]

Answer: 24% of the books read are magazine

Step-by-step explanation:sum of the books read is 20+12+18=50 books.

Therefore 12 of the books are magazine.

Then, 12 of 50 =24%( 12÷50)× 100/1 = 24%

8 0
3 years ago
Read 2 more answers
Pls help asap thank you
Sati [7]

Use the Pythagorean theorem to find the height.

Height = sqrt(26^2-10^2)

Height = 24 cm

Volume = 20^2 x 24/3

Volume = 7,200 cm^3

7 0
3 years ago
Read 2 more answers
if a lake has high alkalinity, what is closest to the probability that the lake also has a shallow depth?
never [62]

Answer:

0.22

Step-by-step explanation:

Probability distribution is the function which describes the likelihood of possible values assuming a random variable. The alkalinity of lake is determined by dividing the high shallow depthness by the total of lake alkalinity. The shallow depth is 209 and the total alkalinity of the lake is 966. By dividing the depthness with alkalinity we get 0.22.

209/966 = 0.219

approximately 0.22

8 0
3 years ago
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