All categories

3 years ago

Can someone help me solve this?

Mathematics

1 answer:

Wittaler [7]3 years ago

7 0

Answer:

∠ ABC = 22°

Step-by-step explanation:

OA = OB ( radii of circle )

Then Δ OAB is isosceles with base angles congruent , that is

∠ OBA = ∠ OAB = 17x

The sum of the 3 angles in the triangle sum to 180°

17x + 17x + 11x = 180

45x = 180 ( divide both sides by 45 )

x = 4

Then

∠ OBA = 17x = 17(4) = 68°

BC is a tangent so ∠ OBC = 90°

∠ ABC = 90° - ∠ OBA = 90° - 68° = 22°

You might be interested in

What is the doubling time of prices which are increasing by 7 percent per year?

bekas [8.4K]

14.3 years

About 14 years and 4 months

Since it is doubling, it must increase by 100%.
100 divided by 7 = 14.28

8 0

4 years ago

1.The earnings of a worker is shown by the graph below. Using this graph, answer the questions that follow.

worty [1.4K]

Answer:

a. $y = 2x$

b. The slope represents the common difference

c. $a_n = 2n$

d. $a_{10} = 20$

Step-by-step explanation:

Given:

The graph

Solving (a): The equation

First, we pick any two corresponding points on the graph

$(x_1,y_1) = (1,2)$

$(x_2,y_2) = (2,4)$

Next, we calculate the slope using:

$m = \frac{y_1 - y_2}{x_1 - x_2}$

$m = \frac{2-4}{1-2}$

$m = \frac{-2}{-1}$

$m=2$

The equation is then calculated as:

$y - y_1 = m(x - x_1)$

$y - 2 = 2(x - 1)$

$y - 2 = 2x - 2$

Make y the subject

$y = 2x - 2+2$

$y = 2x$

(b) Interpret the slope

In (a) above, the slope is calculated as: $m=2$

This represents the common difference of the sequence;

(c) Represent as an arithmetic sequence

We have the following points from the graph:

$(x_1,y_1) = (1,2)$

$(x_2,y_2) = (2,4)$

$(x_3,y_3) = (3,6)$

This means that: The first term is 2; the second is 4, the third is 6.....

So, we have:

$a_1 = 2$ --- First Term

$d = a_2 - a_1 = 4 - 2 = 2$ --- Difference

The nth term of an AP is:

$a_n = a_1 + (n - 1)d$

This gives:

$a_n = 2 + (n - 1)*2$

$a_n = 2 + 2n - 2$

Collect Like Terms

$a_n = - 2+2 + 2n$

$a_n = 2n$

(d) Find a10

To do this, we simply substitute 10 for n in $a_n = 2n$

So, we have:

$a_{10} = 2 * 10$

$a_{10} = 20$

8 0

3 years ago

To the nearest ten thousand, the population of Vermont was estimated to be about 620,000 in 2008. What might have been the exact

wlad13 [49]

619, 000 because if you round to the nearest ten thousandth, it would go from 619,000 to 620,000.

8 0

3 years ago

Which situation is best represented by the following equation? 45w + 123.95 = 753.95 A. Erica paid $753.95 for dance classes. Sh

Pani-rosa [81]

Answer:

It is A

Step-by-step explanation:

Because the variable is w and that would mean week so it is 45 every week

7 0

3 years ago

What is the proper fraction for 9/2?

love history [14]

Answer:4½

Step-by-step explanation:all you need do is check how many times 2 can divide 9 which is 4, then write the remainder at the top which is 1 and the divisor at the bottom which is 2

7 0

3 years ago