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.
Answer:
I'm assuming you want to know the amount of child and adult tickets sold. 450 student tickets were sol, and 300 adult tickets.
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Answer: 32 light colors
Step-by-step explanation:
5 : 8 = 20 : ?
20/5 = 4
8(4) = 32
Answer:
A = 64π units = about 201.06 units
Step-by-step explanation:
The formula for area is
A = πr^2, where r=radius.
Plug in our radius to get the area!
A = π8^2
<u>A = 64π = about 201.06 units</u>
5 + 5 = 10
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