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:
if the total sale was $2846, it would make 400 adult ticket and 846 student ticket. if the collected ticket was 1247 it would make 400 adult ticket and 847 student ticket
Step-by-step explanation:
Answer:
Because they are different and have different MCQ scqare UNIT.
Step-by-step explanation:
Make me brainliest please :)
Step-by-step explanation:
5x + 3y ≥ -3
5x ≥ -3
x ≥ -3/5
5x + 3y ≥ -3
3y ≥ -3
y ≥ -3/3
y ≥ -1
Solution
x ≥ -3/5 and y ≥ -1
An isometric transformation is a transformation of the objects position, without changing the object itself. There are three types of isometric transformation; translation, reflection, and rotation. Nonisometric transformations change and alter the dimension or shape of an object, like enlargement.