All categories

3 years ago

What is the measure of SQ? 1. 95 2. 190 3. 265 4. 360

Mathematics

1 answer:

Vesnalui [34]3 years ago

7 0

Answer:

The measure of arc SQ is 95° ⇒ (1)

Step-by-step explanation:

The measure of any circle is 360°

The measure of the subtended arc to an inscribed angle is twice the measure of this angle

In the given circle

∵ S lies on the circumference of the circle

∴ ∠QSR is an inscribed angle

∵ ∠QSR is subtended by arc QR

→ By using the 2nd rule above

∴ m arc QR = 2 × m∠QSR

∵ m∠QSR = 95°

∴ m arc QR = 2 × 95

∴ m arc QR = 190°

→ By using the 1st rule above

∵ m of the circle = m arc QR + m arc SQ + m arc SR

∵ m arc SR = 75° and m arc QR = 190°

→ Substitute them in the equation above

∴ 360 = 190 + m arc SQ + 75

→ Add the like term in the right side

∴ 360 = 265 + m arc QS

→ Subtract 265 from both sides

∵ 360 - 265 = 265 - 265 + m arc SQ

∴ 95° = m arc SQ

∴ The measure of arc SQ is 95°

You might be interested in

Select the correct answer. if you roll a single six-sided die, what is the probability of rolling an odd number? a. b. c. d. 3

Mamont248 [21]

Answer:

$\frac{1}{2}$

Step-by-step explanation:

P(odd number)= $\frac{3}{6}$

= $\frac{1}{2}$

5 0

2 years ago

Jana opened a savings account with

taurus [48]

Answer:

f(w) = $100 + $15*w

Step-by-step explanation:

The first $100 she deposited remain always the same, they don't change depending on the weeks. What increases along the weeks are the $15.

In the first week she will deposit $15, so she will have $100 + $15 = $115.

On the second week she will deposit $15 more, so she will have $115 + $15 = $130. Another way of writing this is $100 + $15 + $15 = $100 + $15*2.

On the third week she will have $100 + $15 + $15 + $15 = $100 + $15*3.

Therefore, after w weeks, she will have $100 + $15*w.

The function we are looking for is f(w) = $100 + $15*w

6 0

3 years ago

List all the ways to select two members from S with repetition. The order in which the members are selected is not important. Fo

Taya2010 [7]

9514 1404 393

Answer:

KK KL KM KN KP LL LM LN LP MM MN MP NN NP PP

Step-by-step explanation:

Instead of starting with adjacent letters in the list, we start with the same letter. There are 15 possible pairs.

KK KL KM KN KP LL LM LN LP MM MN MP NN NP PP

<em>Additional comment</em>

We leave out pairs with letters previous, because you've said KL is the same as LK, and KL has already been listed. The problem with this list is that it misstates the probabilities of randomly obtaining a given pair. It is not 1/15, but is 2/25 for all but letter duplicates. For duplicates (KK), the probability is 1/25, not 1/15.

4 0

3 years ago

Use the given graph to determine the limit, if it exists. (4 points)

skelet666 [1.2K]

<h3>Answer: 3</h3>

Explanation:

Refer to the graph below. It should be similar to what your teacher gave you, based off the description.

Since we're approaching 3 from the right side, this means we'll be working with the horizontal line portion. We could start at something like x = 3.2 and move closer to 3 by getting to x = 3.1 then x = 3.01 then x = 3.001 and so on. We never actually get to 3 itself.

As x gets closer to 3 from this direction, the y values are approaching 3 since every point on this horizontal line has the same y coordinate. Technically the y value is already at 3, but it's the same idea.

In terms of notation, we can write $\displaystyle \lim_{x\to3^{+}}f(x) = 3$

The portion $x \to 3^{+}$ means we're approaching 3 from the positive side, aka the right hand side on the number line.

8 0

2 years ago

Factor the equation 8y-36

musickatia [10]

4(2y−9) is the correct answer

6 0

3 years ago