All categories

3 years ago

Find a and b from the picture

Mathematics

1 answer:

Anni [7]3 years ago

5 0

Answer:a is 40 degrees

b is 140 degrees

Step-by-step explanation:

The given polygon has 5 irregular sides. This means that it is an irregular pentagon. The sum of the exterior angles of a polygon is 360 degrees

The exterior angles of the given pentagon are a, 75, 65, 60 and 120. Therefore

a + 75 + 65 + 60 + 120 = 360

a + 320 = 360

Subtracting 320 from both sides of the equation, it becomes

a = 360 - 320 = 40 degrees

The sum of angles on a straight line is 180/degrees. Therefore,

a + b = 180

b = 180 - a = 180 - 40 = 140 degrees

You might be interested in

Hi, can someone help with these two questions ASAP! (Ignore the multiple choice I circled, not sure if it’s correct)

Sindrei [870]

Answer:

1) D. $y = -\frac{3}{2}\cdot x^{12} -7\cdot x^{5}+\frac{2}{3}\cdot x -10$

2) E. The coefficient of $x$ is -16.

Step-by-step explanation:

1) A polynomial is an algebraic expression of the form $p(x) = \Sigma \limits_{i = 0}^{n} c_{i}\cdot x^{i}$ , where $n$ is the grade of the polynomial. In this case, the only equation that satisfies this definition is:

$y = -\frac{3}{2}\cdot x^{12} -7\cdot x^{5}+\frac{2}{3}\cdot x -10$

Correct answer: D

2) Let $p(x) = (2\cdot x + 1) \cdot (5\cdot x^{3}-8\cdot x +4)$ , we proceed to expand the expression by algebraic means:

$p(x) = (2\cdot x + 1)\cdot (5\cdot x^{3}) -(2\cdot x +1)\cdot (8\cdot x) + 4\cdot (2\cdot x + 1)$

$p(x) = 10\cdot x^{4}+5\cdot x^{3}-16\cdot x^{2}+4$

We see that coefficients for $x^{2}$ and $x$ are -16 and 0, respectively. Hence, the incorrect answer is E.

3 0

3 years ago

Two cards are drawn without replacement from a standard deck of 52 playing cards. What is the probability of choosing a king and

STALIN [3.7K]

Answer:

0.0181 probability of choosing a king and then, without replacement, a face card.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Probability of choosing a king:

There are four kings on a standard deck of 52 cards, so:

$P(A) = \frac{4}{52} = \frac{1}{13}$

Probability of choosing a face card, considering the previous card was a king.

12 face cards out of 51. So

$P(B|A) = \frac{12}{51}$

What is the probability of choosing a king and then, without replacement, a face card?

$P(A \cap B) = P(A)P(B|A) = \frac{1}{13} \times \frac{12}{51} = \frac{1*12}{13*51} = 0.0181$

0.0181 probability of choosing a king and then, without replacement, a face card.

5 0

3 years ago

Please help quickly !!

anygoal [31]

Answer:

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Which shape is always a parallelogram

lesya692 [45]

Answer:

A Square, Rectangle, and a Rhombus

Step-by-step explanation:

I think that is all of them.

3 0

2 years ago

Determine whether the graph represents a linear or nonlinear function. Explain.The graph represents a

docker41 [41]

Answer:

The graph represents a nonlinear function, because the graph isn't a line.

Reason: A linear function is a graph with a straight line, in this case the graph isn't straight, so it is nonlinear function.

8 0

2 years ago

Find a and b from the picture​

Find a and b from the picture