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3 years ago

CE and FH are parallel lines. Which angles are supplementary angles?

Mathematics

2 answers:

nadya68 [22]3 years ago

6 0

Answer:

<CDG and <CDB are supplementary angles.

Nataly_w [17]3 years ago

3 0

Answer:

hff

Step-by-step explanation:

< CDG and <CDB are supplementary angles.

msm555 is correct

hope it is helpful to you ☺️☺️☺️

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(40-3x7-9-6x2]+ 4+19<br> I need the answer to this

Schach [20]

-3x7=-21

6x2= -12

40+21-9+12

61-21

40+4+19

44+19= 63

5 0

3 years ago

find the angle between the vectors. (first find the exact expression and then approximate to the nearest degree. ) a=[1,2,-2]. B

SashulF [63]

Answer:

$\theta = cos^{-1} (\frac{10}{\sqrt{9} \sqrt{25}})=cos^{-1} (\frac{10}{15}) = cos^{-1} (\frac{2}{3}) = 48.190$

Since the angle between the two vectors is not 180 or 0 degrees we can conclude that are not parallel

And the anfle is approximately $\theta \approx 48$

Step-by-step explanation:

For this case first we need to calculate the dot product of the vectors, and after this if the dot product is not equal to 0 we can calculate the angle between the two vectors in order to see if there are parallel or not.

a=[1,2,-2], b=[4,0,-3,]

The dot product on this case is:

$a b= (1)*(4) + (2)*(0)+ (-2)*(-3)=10$

Since the dot product is not equal to zero then the two vectors are not orthogonal.

Now we can calculate the magnitude of each vector like this:

$|a|= \sqrt{(1)^2 +(2)^2 +(-2)^2}=\sqrt{9} =3$

$|b| =\sqrt{(4)^2 +(0)^2 +(-3)^2}=\sqrt{25}= 5$

And finally we can calculate the angle between the vectors like this:

$cos \theta = \frac{ab}{|a| |b|}$

And the angle is given by:

$\theta = cos^{-1} (\frac{ab}{|a| |b|})$

If we replace we got:

$\theta = cos^{-1} (\frac{10}{\sqrt{9} \sqrt{25}})=cos^{-1} (\frac{10}{15}) = cos^{-1} (\frac{2}{3}) = 48.190$

Since the angle between the two vectors is not 180 or 0 degrees we can conclude that are not parallel

And the anfle is approximately $\theta \approx 48$

3 0

3 years ago

9. Which of the following could be the side measures of a right triangle?

Lapatulllka [165]

Answer:

A. 5 ft, 4 ft, 3 ft

Step-by-step explanation:

When you use the Pythagorean theorem with the numbers of the first choice, you find that these could be the sides of a right triangle:

3² + 4² = 9 + 16 = 25 = 5²

You have found the correct answer at this point.

_____

If you want to check, you can examine the other choices:

C: 6² +10² = 136 ≠ 11²

B: 2² +4² = 20 ≠ 6²

D: 5² +10² = 125 ≠ 15²

_____

<em>Comment on 3-4-5 triangle</em>

As you can see from the above, side measures of 3, 4, and 5 will form a right triangle. This is the smallest set of integers that will do so. It is also the ratios of the only set of side lengths in arithmetic progression that will do so.

This latter fact can help you rule out choices B and D in this problem, because each of those has sides in the progression 1 : 2 : 3.

(3, 4, 5) triangles come up often in algebra and geometry problems. This is a useful "Pythagorean triple" to remember.

6 0

3 years ago

Find the rate of change given the following solutions: (6, 2) and (1, 12).

blagie [28]

Answer:

The rate of change is -2

Step-by-step explanation:

f(b)-f(a) 12-2 10

---------- = ------------ = -------- = -2

b-a 1-6 -5

7 0

3 years ago

Write an exponential expression: choose an odd number between

Ronch [10]

Chicken nuggets and fries please

4 0

3 years ago

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