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Doss [256]
2 years ago
15

Given that m∠TSU = m∠SUQ, why is RT || UQ?

Mathematics
1 answer:
o-na [289]2 years ago
6 0
The answer to your question is option A
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Determine whether the variation between the indicated quantities is direct or inverse. The number of calories in a cheese pizza
-BARSIC- [3]

Answer:

The variance is direct.

Step-by-step explanation:

Since size of the pizza determines the amount of calories.

Let us say that a 2" x4" strip of pizza has 250 calories.

Then a pizza of twice the size (or 4" x 4") will have twice as many calories (500 calories) .

8 0
2 years ago
Point J has coordinates (–3, 4) in the coordinate plane. Point K has coordinates (3, 4). Both points will be reflected across th
kumpel [21]

The location of the image of points <em>J </em>and <em>K </em>following a reflection across the x-axis are;

  • J'(-3, -4), and K'(3, -4)

<h3>Which method can be used to find the image of a point following a reflection?</h3>

Coordinates of point are;

J(-3, 4), K(3, 4)

The given transformation is; A reflection across the x-axis

The representation of a reflection across the x-axis is presented as follows;

  • (x, y) → (x, -y)

The image of <em>J </em>and <em>K </em>following a transformation across the x-axis are therefore;

  • J(-3, 4) → J'(-3, -4)

  • K(3, 4) → K'(3, -4)

Learn more about reflection transformation on the coordinate plane here:

brainly.com/question/8242111

#SPJ1

8 0
1 year ago
According to the data, the mean quantitative score on a standardized test for female college-bound high school seniors was 500.
Sveta_85 [38]

Answer:

6.68% of the female college-bound high school seniors had scores above 575.  

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 500

Standard Deviation, σ = 50

We are given that the distribution of score is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(scores above 575)

P(x > 575)

P( x > 575) = P( z > \displaystyle\frac{575 - 500}{50}) = P(z > 1.5)

= 1 - P(z \leq 1.5)

Calculation the value from standard normal z table, we have,  

P(x > 575) = 1 - 0.9332= 0.0668 = 6.68\%

6.68% of the female college-bound high school seniors had scores above 575.

7 0
3 years ago
A sector of a circle has a central angle measuring 15 degrees and the radius of the circle measures 9 inches. What is the arc le
Kamila [148]

Answer:

Arc length is \dfrac{3\pi }{4}\ \text{inches}

Step-by-step explanation:

We have,

Central angle is 15 degrees and the radius of the circle measures 9 inches.

It is required to find the arc length of the sector.

The relation between arc length and the central angle is given by :

\dfrac{\text{arc length}}{\text{circumference}}=\dfrac{\theta}{360}

Circumference, C=2\pi r=18\pi

\theta=15^{\circ}

\dfrac{x}{18\pi }=\dfrac{15}{360}\\\\\dfrac{x}{18\pi }=\dfrac{1}{24}\\\\x=\dfrac{18\pi }{24}\\\\x=\dfrac{3\pi }{4}\ \text{inches}

Hence, the correct option is (b).

5 0
3 years ago
Find the vertex and zeros of the following function f(x)=x^2-6x-7
elena-s [515]

Try this solution:

Step-by-step explanation:

1) for zeros of the function: x²-6x-7=0; ⇒ x₁=7; x₂= -1.

2) for the vertex of the function: x₀= -b/2a, where a;b;c - numbers from ax²+bx+c=0 (from x²-6x-7=0).

x₀=6/2=3;

y₀= (4ac-b²)/4a; ⇒ y₀= -16.

It means, the coordinates of the vertex are (3;-16).

6 0
3 years ago
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