Answer:
C. <w and <y
Step-by-step explanation:
<t and <x are corresponding angles, therefore they are congruent to each other by the corresponding angles theorem.
<w and <y are also corresponding angles and are therefore also congruent.
<x and <z are congruent also based on the vertical angles theorem.
<t and <z are alternate exterior angle, and are therefore congruent also.
So, from the pairs of angles given as options, the only given pair of angles that are congruent would be:
<w and <y
1.75 + 0.25x ≤ 15
where x is equal the number of miles.
The key to solving an inequality is just temporarily making the ≤ symbol a =. Then solve for x like any other algebraic equation. Once you find the value of x, you will have solved the inequality. Make sure to add back the ≤ when you are done.
15 - 1.75 = 13.25
13.25/0.25 = x
x = 53
add back the ≤
x ≤ 53
This means Eddies can travel up to 53 miles with his $15.
Answer:
If you round it to the nearest ten-thousand, your answer would be 30,000.
Answer:
b
Step-by-step explanation:
Using the trigonometric identity
sin2x = 2sinxcosx
That is the angle on the right side is half the angle on the left, thus
sinΘ = 2sin(
Θ )cos(
Θ ) → b
Answer:
the answer is $8.29
Step-by-step explanation:
1.60 marked up by 60% in decimal form is .60
multiply that .60 by 1.60 and you get .64
you add .64 to 1.60 and you get 2.56
you multiply 2.56 by 3 and you get 7.68
you have a 8% sales tax so you multiply 0.08 by 7.68
you will get .61 you add that to 7.68 to get $8.29