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weqwewe [10]
3 years ago
6

Please help me with this

Mathematics
1 answer:
jekas [21]3 years ago
6 0

Answer:

Step-by-step explanation:

In this situation, all of the angles can only be either 108 degrees or 180 - 108 degrees. 180 - 108 = 72 degrees.

So <2 = 108 because it obtuse and corresponding  and angle 4 is acute and = 72 degrees.

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Write an equation for the nth term of the arithmetic sequence −15, −33, −51, −69, .... An equation for the nth term of the
stira [4]

Given:

The arithmetic sequence is −15, −33, −51, −69.

To find:

The nth term of the arithmetic sequence.

Solution:

We have,

−15, −33, −51, −69

Here,

First term: a = -15

Common difference is

d = -33-(-15)

d = -33+15

d = -18

Now, nth term  of an arithmetic sequence is

a_n=a+(n-1)d

Substitute a=-15 and d=-18.

a_n=-15+(n-1)(-18)

a_n=-15-18n+18

a_n=-18n+3

Therefore, the nth term of the given arithmetic sequence is a_n=-18n+3.

4 0
3 years ago
If two of these shapes are randomly chosen, one after the other without replacement, what is the probability that the first will
aleksandrvk [35]

Answer:

P(T\ n\ S) = \frac{1}{14}

Step-by-step explanation:

*Missing Part of the Question*

4 stars

5 triangles

3 circles

3 squares

Required

Determine the probability of triangle being first then square being second

Total = 4 + 5 + 3 + 3

Total = 15

Represent the triangle with T and square with S

So, we're solving for P(T n S)

P(T\ n\ S) = P(T) * P(S)

Solving for P(T)

P(T) = \frac{n(T)}{Total}

P(T) = \frac{5}{15}

Solving for P(S)

The question implies a probability without replacement;

Hence Total has now been reduced by 1

Total = 14

P(S) = \frac{n(S)}{Total}

P(S) = \frac{3}{14}

Recall that

P(T\ n\ S) = P(T) * P(S)

P(T\ n\ S) = \frac{5}{15} * \frac{3}{14}

P(T\ n\ S) = \frac{15}{15 * 14}

P(T\ n\ S) = \frac{1}{14}

Hence, the required probability is

P(T\ n\ S) = \frac{1}{14}

3 0
3 years ago
This graph represents which function?
il63 [147K]

Answer:

A

Step-by-step explanation:⁻7+

4 0
4 years ago
A number is multiplied by 3. If 3 is subtracted from the product you get 24.
vladimir1956 [14]
Nine is the answer cuz it equals 27 then subtract 2 equals 24
3 0
3 years ago
Read 2 more answers
A boat travels 333 km in 7 hours with a constant speed how far can it travel in 6 hours with the same speed
Charra [1.4K]

Answer:

258 km

Step-by-step explanation:

We can calculate the speed of the boat with (333km/7 hours) = 47.57 km/hr.

Assuming the same speed, the boat would travel (47.57 km/hr)*(6 hr) = 258 km

5 0
2 years ago
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