Answer:
a) x = 60. b) b = 110. c) x = 20. d) x = 30.
Explanation:
For question a, 2x and 120° are opposite (vertical) angles so they must be the same measure according to the vertical angle theorem by definition, given they are angles formed by the transversal cutting two parallel lines. 2x = 120, so x = 60.
For question b, 130° and b + 20 are corresponding angles of the transversal cutting parallel lines, so they must be the same measure according to corresponding angle theorem(same side, one angle inner, and the other exterior of that) by definition. Given that they are both pairs of the same angle, they must be corresponding angles. 130° = b + 20, b = 110.
For question c, 120° and 2x + 20 are same side interior angles so they must be supplementary(add up to 180°) by definition. This is on the *same side* of the transversal inside the two parallel lines cut by it. 120° + 2x + 20° = 180°, x = 20°.
For question d, They are also on the same side but on the left so the same property of corresponding angles applies, so 3x + 10, and 100° must be the same measure. Therefore 3x + 10 = 100°, and x = 30.
1 Kilometer = 10 Hectometers
= 100 Dekameters
= 1000 Meters
1 Meter = 10 Decimeters
= 100 Centimeters
1 Decimeter = 10 Centimeters
1 Centimeter = 10 milimeters
Just to give you a table of conversion.
<span>Now to get the answer.
500 Meters + 300 Meters = 800 Meters
800 Meters + 10 Kilometers
</span>
You can't add numbers with different units, so you're going to have to convert. So the equation would end up being:
800 Meters + 10000 Meters = 10800 Meters
Since you have to answer it in Kilometers, you're going to have to convert it again to Kilometers. Since 1 Kilometer is equal to 1000 Meters, yo would have to divide 10800 by 1000. So it would turn out like this:
= 10.8 Kilometers
Now, here's what we've done:
500 Meters + 300 Meters + 10 Kilometers
= 500 Meters + 300 Meters + 10000 Meters
= 10800 Meters
= 10.8 Kilometers
The picture is kind of grainy but it looks like:
4u = 56
Add 4's to both sides:
4u/4 = 56/4
cross out both 4's on left side and divide on the right:
u = 14
Answer: Choice C
The angle opposite N is going to involve endpoints other than N. So it will involve point I and point M to form segment IM.