How to find y in angle sum theorem

Mathematics

1 answer:

Svetach [21]2 years ago

3 0

Answer:

y = 90°

Step-by-step explanation:

110° is the measure of exterior angle of bigger triangle.

-> (x + x) + 70° = 110° (By exterior angle theorem)

-> 2x = 110° - 70°

-> 2x = 40°

-> x = 40°/2

-> x = 20°

y is the measure of exterior angle of smaller triangle.

-> y = x + 70° (By exterior angle theorem)

-> y = 20° + 70°

-> y = 90°

You might be interested in

Which value, when placed in the box, would result in a system of equations with infinitely many solutions?

ira [324]

<span>For a system of equations to have infinitely many solutions, the equations have to be lineary dependent, (i.e. one of the equations is a multiple of the other equation). For the given equation to have infinitely many solutions, the second equation have to be a multiple of the first equation. The first equation can be rewritten as y - 2x = -5 The second equation is the first equation multiplied by 2, i.e. 2(y - 2x= -5) = 2y - 4x = -10 Therefore, the correct answer is -10 (option a).</span>

7 0

3 years ago

Read 2 more answers

2+2=22? is this the corect awnser

Ivan

Answer:

I think 2+2=4

Step-by-step explanation:

20+2=22 tho

3 0

2 years ago

Read 2 more answers

An author published a book which was being sold online. The first month the author sold 21000 books, but the sales were declinin

Wittaler [7]

Answer: 119,616

You may have to erase the comma when inputting the answer.

=======================================================

Explanation:

The author sells 21,000 books in the first month.

Then they sell 21,000*(1-0.12) = 21,000*(0.88) = 18,480 in the second month.

Then they sell 18,480*(1-0.12) = 18,480*(0.88) = 16,262.4 = 16,262 in the third month.

And so on. These values follow a geometric sequence with first term a = 21,000 and common ratio r = 0.88

We can think of the 0.88 as 88% of the original value (since losing 12%, we keep the remaining 88%)

-------------

Use the formula below to sum the first 9 terms of the geometric sequence

Plug in a = 21000 and r = 0.88

$S_n = a*\frac{1-r^n}{1-r}\\\\S_9 = 21000*\frac{1-0.88^9}{1-0.88}\\\\S_9 \approx 21000*\frac{0.6835216}{0.12}\\\\S_9 \approx 21000*5.6960133\\\\S_9 \approx 119,616.2793\\\\S_9 \approx 119,616\\\\$