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3 years ago

Consider the diagram below. Which of the following statements is correct?

Mathematics

2 answers:

Nutka1998 [239]3 years ago

7 0

Answer:

Step-by-step explanation:

The diagram shows two parallel lines XY and WV.

1. Parallel lines XY and WV are cut by transversal XW, then angles YXZ and VWZ are congruent as alternate interior angles.

2. Parallel lines XY and WV are cut by transversal YV, then angles XYZ and WVZ are congruent as alternate interior angles.

AA similarity theorem states if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

So, $\triangle XYZ\sim \triangle WVZ$ by AA similarity

Mademuasel [1]3 years ago

3 0

Answer: AA similarity

Step-by-step explanation:

I tried it and it was right on math nation.

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The Cinema Center consists of four theaters: Cinemas I, II, III, and IV. The admission price for one feature at the Center is $5

zzz [600]

Answer:

a) Matrix B = $\left[\begin{array}{c}5\\7\\9\end{array}\right]$

b) Matrix AB = $\left[\begin{array}{c}2525\\3620\\2845\\3705\end{array}\right]$

c) $12,695

Step-by-step explanation:

Matrix A = $\left[\begin{array}{ccc}225&110&70\\95&160&225\\280&65&110\\0&240&225\end{array}\right]$

a) Matrix B = $\left[\begin{array}{c}5\\7\\9\end{array}\right]$

Gross Receipt = AB

$\left[\begin{array}{ccc}225&110&70\\95&160&225\\280&65&110\\0&240&225\end{array}\right]$ . $\left[\begin{array}{c}5\\7\\9\end{array}\right]$ = $\left[\begin{array}{c}2525\\3620\\2845\\3705\end{array}\right]$

c) Total revenue is the sum of receipts from 4 cinemas given in part b

Hence,

Total revenue = $2525 + $3620 + $2845 + $3705 = $12,695

3 0

3 years ago

27x+5+15x-2 what is the degree angle

Zielflug [23.3K]

The original motivation for choosing the degree as a unit of rotations and angles is unknown. One theory states that it is related to the fact that 360 is approximately the number of days in a year.[5] Ancient astronomers noticed that the sun, which follows through the ecliptic path over the course of the year, seems to advance in its path by approximately one degree each day

7 0

3 years ago

Help me please asap I need to know fully how to solve this problem

vivado [14]

Consider the absolute value, because we only worry about the quadrant later.

$\text{Consider: } sin(A) = |-\frac{\sqrt{3}}{4}|$
$sin(A) = \frac{\sqrt{3}}{4}$

Thus, we know that the hypotenuse has a length of 4 units, and the side opposite the angle, A is √3, because this is the nature of the sine function in relation to its triangular component.

The missing side can be found using Pythagoras' Theorem:
4² - (√3)² = x²
16 - 3 = x²
13 = x²
x = √13

$\therefore tan(A) = \pm \sqrt{\frac{3}{13}}$

Since angle A is in the third quadrant, the tangent function will produce a positive angle.

$tan(A) = \sqrt{\frac{3}{13}}$
$\text{Rationalise the denominator: } \frac{\sqrt{3}}{\sqrt{13}} \cdot \frac{\sqrt{13}}{\sqrt{13}}$

$tan(A) = \frac{\sqrt{39}}{13}$

7 0

3 years ago

Jason wanted to buy postcards for his cousin. The price was 2 cards for $1. He had some change in his pocket. What combination o

Zina [86]

Answer:

2 dimes, 1 nickel and 3 quarters.

Step-by-step explanation:

The price of 2 postcards is $1. Any combination of coins that adds to $1 will work here. Remember, a penny is worth 0.01, a nickel is worth 0.05, a dime is worth 0.10, and a quarter is worth 0.25.

Adding 2 dimes, 1 nickel, and 3 quarters would be 2(0.10)+1(0.05)+3(0.25)=1.

8 0

3 years ago

Andrea spins the arrow on the spinner one time.

insens350 [35]

My Answer for your question is

A. O

4 0

3 years ago