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loris [4]
2 years ago
15

100 POINTS

Mathematics
2 answers:
gulaghasi [49]2 years ago
5 0
C. Alternate interior angles are formed by a transverse line intersecting two parallel lines . They are located between the two parallel lines but on opposite sides of the transverse line
Bas_tet [7]2 years ago
4 0

Answer:

C. alternate interior angles

Step-by-step explanation:

i did the quiz

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I need help with the graph I don’t I understand it
Varvara68 [4.7K]
The picture is blurry
8 0
3 years ago
#2 <br> #3 <br> Need help for my discrete math class
miss Akunina [59]

For (2), start with the base case. When n = 2, we have

(n + 1)! = (2 + 1)! = 3! = 6

2ⁿ = 2² = 4

6 > 4, so the case of n = 2 is true.

Now assume the inequality holds for n = k, so that

(k + 1)! > 2ᵏ

Under this hypothesis, we want to show the inequality holds for n = k + 1. By definition of factorial, we have

((k + 1) + 1)! = (k + 2)! = (k + 2) (k + 1)!

Then by our hypothesis,

(k + 2) (k + 1)! > (k + 2) 2ᵏ = k•2ᵏ + 2ᵏ⁺¹

and k•2ᵏ ≥ 2•2² = 8, so

k•2ᵏ + 2ᵏ⁺¹ ≥ 8 + 2ᵏ⁺¹ > 2ᵏ⁺¹

which proves the claim.

Unfortunately, I can't help you with (3). Sorry!

3 0
3 years ago
Consider the functions f(x) = 2x + 1 and g(x) = x^2 − 10 What is the value of f[g(3)]?
HACTEHA [7]

Answer:

-1

Step-by-step explanation:

Tip: Remember to always start from the inside, which would be g(3), in this case.

The first step in solving this problem is to solve for g(3).

To accomplish this, you must substitute 3 for x into the given equation g(x) = x^2 - 10

  • g(3) = 3^2 - 10
  • g(3) = 9 - 10
  • g(3) = -1

The next step is to substitute the answer of g(3), -1, for x in the given equation f(x) = 2x + 1.

Because the equation is asking for f[g(3)], it becomes f(-1) because g(3) = -1.

  • f(-1) = 2(-1) + 1
  • f(-1) = -2 + 1
  • f(-1) = -1

Therefore, f[g(3)], or f(-1), equals -1

6 0
3 years ago
Find the length of side x in simplest radical form with a rational denominator.
aleksandrvk [35]

Answer:x = 7√3/3

Step-by-step explanation:

The given triangle is a right angle triangle. To determine the value of x, we would apply trigonometric ratios of tan but the opposite side and adjacent sides would depend on the reference angle used. Taking 30 degrees as the reference angle,

Tan # = opposite side/adjacent side

Opposite side = x

Adjacent side = 7

# = 30 degrees

Therefore,

Tan 30 = x/7

x = 7tan30 = 7 × 1/√3 = 7/√3

= 7/√3 × √3/√3 = 7√3/3

6 0
3 years ago
Jane has $130. If she saves $25 per week, in how many weeks will she have $600
Fudgin [204]
600 - 130 = 470
470 / 25 = 18.8 which rounds to about 19 weeks.
7 0
3 years ago
Read 2 more answers
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