Answer:
x = 20
y = 10
m∡8 = 110°
Step-by-step explanation:
m∡1 + m∡2 = 180
5x + y + 3x + y = 180
8x + 2y = 180
m∡1 = m∡8 (they are alternate-exterior angles and are congruent)
5x + y = 3x + 5y
2x = 4y
x = 2y
Substitute '2y' for 'x' in 8x + 2y = 180
8(2y) + 2y = 180
18y = 180
y = 10
x = 2(10)
x = 20
m∡8 = 3(20) + 5(10) = 110°
Answer:number of juice and fruits
Step-by-step explanation:
juice and fruits
Each of the pairs of the opposite angles made by two intersecting lines are called vertical angles. The correct option is A.
<h3>What are vertical angles?</h3>
Each of the pairs of the opposite angles made by two intersecting lines are called vertical angles.
The proof can be completed as,
Given the information in the figure where segment UV is parallel to segment WZ.: Segments UV and WZ are parallel segments that intersect with line ST at points Q and R, respectively. According to the given information, segment UV is parallel to segment WZ, while ∠SQU and ∠VQT are vertical angles. ∠SQU ≅ ∠VQT by the Vertical Angles Theorem. Because ∠SQU and ∠WRS are corresponding angles, they are congruent according to the Corresponding Angles Theorem. Finally, ∠VQT is congruent to ∠WRS by the Transitive Property of Equality.
Hence, the correct option is A.
Learn more about Vertical Angles:
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Answer:
C
Step-by-step explanation:
The vertex form for a parabola is a(x-h)^2 + k, where h is the x coordinate of the vertex and k is the y coordinate. a represents the amount that the graph has been "squeezed". Therefore, since the coordinates of the vertex of this parabola are (2,4), and it is "squeezed" by a factor of 2, the correct answer is C. Hope this helps!
