Answer:
A,D,E. Hope this helps!
Step-by-step explanation:
A. x=5
B. x=11
C. x=11/6
D. x=5
E. x=5
F. x=1/5
Answer:
12. ∠2 ≅ ∠3
The parallel Lines for these angles are q and p.
The theorem that justifies this is Corresponding Angles, because both are in the same position (the upper right-hand corner) in their group of 4 angles. These angles are also Congruent, because the transversal intersects two parallel lines and two corresponding angles are congruent. Q and P would be the parallel lines and R would be the transversal.
13. ∠6 ≅ ∠7
The parallel lines for these angles would be Q and P.
The theorem that justifies this is Alternate Interior Angles, because this pair of angles are on opposite sides of the Transversal line and on the inside of the parallel lines. This also makes them Congruent angles, because the transversal intersects two parallel lines and two Alternate Interior Angles are Congruent. The two parallel lines are Q and P are parallel because line S intersect them, making line S the Transversal.
14. ∠1 ≅ ∠4
The parallel lines for these angles are R and S.
The theorem that justifies this is Alternate Exterior Angles, because angles 1 and 4 are on opposite sides of the transversal as well as the outside of the parallel lines. This also makes these two angles Vertical Angles, because when a transversal intersects two parallel lines, and the angles are across from each other on opposite sides of the transversal, they are vertical angles. Vertical Angles are always Congruent. So R and S are the parallel lines and line Q is the Transversal because it intersects R and S.
15. m∠5 + m∠8 = 180°
The parallel lines for angles 5 and 8 are R and S.
The theorem that justifies this is Same-Side Interior Angles, because they are on the same side of the Transversal and on the inside of the parallel lines. This also makes angles 5 and 8 Supplementary, because a transversal intersects two parallel lines and Same-side Interior Angles are Supplementary. The parallel lines are R and S because Transversal line P intersects them.
Step-by-step explanation:
Explanations are within the answers for each question above.
Hope this helps!! :)
Answer:
Overall, the steps for algebraically finding the range of a function are:
1.Write down y=f(x) and then solve the equation for x, giving something of the form x=g(y).
2.Find the domain of g(y), and this will be the range of f(x).
3.If you can't seem to solve for x, then try graphing the function to find the range.
Step-by-step explanation:
69.99
20% off of 14.99 is 119.992 then -50 is 69.992 but we round to nearest cent and sence 2 is less than five we round down so jt is 69.99$
Answer:
12.96
Step-by-step explanation:
try to found 20% of 10.8 and add it to 10.8
20% equal to 4quarter
4 quarter of 10.8 is 2.16