Answer:
28. 120 degrees
29. 30 degrees
30. 56 degrees & 124 degrees
31. 72 degrees, 108 degrees, and 18 degrees
Step-by-step explanation:
We assign variable x for the answer we are looking for (28-29).
28.
Supplement means x + y = 180 degrees. We also know x = 2y. Substitution gives us 3y = 180 degrees, so y = 60 degrees and x = 120 degrees.
29.
Complement means x + y = 90 degrees. We are given 2x = y. Substitution brings us 3x = 90 degrees, x = 30 degrees.
30.
Supplement means x + y = 180 degrees. We are told that y = 2x + 12, so we substitute. This gives 3x + 12 = 180 degrees, x = 56 degrees. Substituting that back into the equation for y, we get 124 degrees.
31.
Supplement means x + y = 180 degrees. Complement means x + z = 90 degrees. Using our given info, we know y = 6z. We can substitute that in to get x + 6z = 180. Subtracting our second and third equations, we get 5z = 90, z = 18 degrees. Therefore, x = 72 degrees, y = 108 degrees.
Your answer would be x-4=17.
4 less than (#) is 17.
That number would be 21.
21-4=17
Hope that helps
Answer:
3566 did the test.
Step-by-step explanation:
ANSWERS:
2
−
4
−
2
1
x^{2}-4x-21
x2−4x−21
Grouping
1
Use the sum-product pattern
2
−
4
−
2
1
x^{2}{\color{#c92786}{-4x}}-21
x2−4x−21
2
+
3
−
7
−
2
1
x^{2}+{\color{#c92786}{3x}}{\color{#c92786}{-7x}}-21
x2+3x−7x−21
2
Common factor from the two pairs
3
Rewrite in factored form
Solution
(
−
7
)
(
+
3
)
Answer:
Step-by-step explanation:
A spring has a force formula of F = k*x
f = 125 N
x = 0.15 m
125 = k*0.15
k =833.33
F = ?
k = 833.33
x = 0.25 m
F = 833.33 * 0.25
F = 208.33 N
You could do this without solving for k
F1/F2 = x1/x2
F1 = 125 N
F2 = ?
x1 = 0.15
x2 =0.25
125 / F2 = 0.15 / 0.25 Cross multiply
125 * 0.25 = 0.15 * F2 Divide by 0.15
125*0.25 /0.15 = F2
F2 = 208.33 just as you got above
