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hram777 [196]
2 years ago
10

IM IN A HURRY PLEASE HELP ME QUESTION IS DOWN BELOW WORTH 15 POINTS each

Mathematics
1 answer:
gizmo_the_mogwai [7]2 years ago
4 0

Applying the congruent chords theorem, the value of x is: 7.

Length of segment LP is: 6 units.

<h3>What is a Chord in Geometry?</h3>

In geometry, a chord is defined as the line segment that joins two points on the circumference of a circle.

<h3>What is the Congruent Chords Theorem?</h3>

In a circle, if two chords are congruent, then they are equidistant from the center of a circle, according to the congruent chords theorem.

In the circle given, chords JK = LM = 12 units. This means both chords are congruent, therefore, they are equidistant from the center of the circle S.

According to the congruent chords theorem, NS = PS, thus:

8 = 2x - 6

8 + 6 = 2x

14 = 2x

Divide both sides by 2

14/2 = 2x/2

7 = x

x = 7

LP = 1/2(12)

LP = 6 units.

In summary, applying the congruent chords theorem, the value of x is: 7.

Length of segment LP is: 6 units.

Learn more about the congruent chords theorem on:

brainly.com/question/7511582

#SPJ1

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Answer:

B.

Step-by-step explanation:

The graph that is going to show the function, has two parts: one for numbers equal or less than 3 and the other for numbers greater than 3

Then, for x≤3, the function is f(x) = 4. This is a constant so the graph is a horizontal line.

Additionally, for x>3, the function is f(x)=12x. This is a straight line with a positive slope.

So, the answer that follows these 2 conditions is B.

3 0
2 years ago
A department store buys 200 shirts at a cost of $5,400 and sells them at a selling
jekas [21]

Number of shirts a department store bought = 200

Cost price of 200 shirts = $5400

Cost price of 1 shirt :

=\tt  \frac{5400}{200}

\color{plum} =\tt \$27

Thus, the cost price of one shirt = $27

Price at which the department store sold each shirt = $30

Which means :

▪︎Cost price of shirt = $27

▪︎Selling price of shrit = $30

Since selling price is greater than cost price, there was a markup in the price of the shirts.

We know that :

\color{hotpink}\tt \: markup \: percentage = \color{plum}  \frac{selling \: price - cost \: price}{cost \: price }  \times 100

Markup percentage in the price of the shirts :

=  \tt \frac{30 - 27}{27}  \times 100

=  \tt \frac{3}{27}  \times 100

= \tt  \frac{3 \times 100}{27}

= \tt  \frac{300}{27}

\color{plum} =  \tt11.1  \%

Thus, the percentage of markup = \tt 11.1  \%

Therefore, the percentage of markup in the shirt's price = \color{hotpink} \tt11.1  \%

3 0
2 years ago
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Step-by-step explanation:

plato

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3 years ago
The angle θ 1 is located in Quadrant IV, and cos ⁡ ( θ 1 ) = 9/ 19 , theta, start subscript, 1, end subscript, right parenthesis
Firdavs [7]

Answer:

sin\theta_1 =  - \frac{2\sqrt{70}}{19}

Step-by-step explanation:

We are given that \theta_1 is in <em>fourth</em> quadrant.

cos\theta_1 is always positive in 4th quadrant and  

sin\theta_1 is always negative in 4th quadrant.

Also, we know the following identity about sin\theta and cos\theta:

sin^2\theta + cos^2\theta = 1

Using \theta_1 in place of \theta:

sin^2\theta_1 + cos^2\theta_1 = 1

We are given that cos\theta_1 = \frac{9}{19}

\Rightarrow sin^2\theta_1 + \dfrac{9^2}{19^2} = 1\\\Rightarrow sin^2\theta_1 = 1 - \dfrac{81}{361}\\\Rightarrow sin^2\theta_1 =  \dfrac{361-81}{361}\\\Rightarrow sin^2\theta_1 =  \dfrac{280}{361}\\\Rightarrow sin\theta_1 =  \sqrt{\dfrac{280}{361}}\\\Rightarrow sin\theta_1 =  +\dfrac{2\sqrt{70}}{19}, -\dfrac{2\sqrt{70}}{19}

\theta_1 is in <em>4th quadrant </em>so sin\theta_1 is negative.

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What would the value of y be for a point at<br> x = 8?
Tems11 [23]

Answer:

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Step-by-step explanation:

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