Match the system of equations to their solutions

Answer:

cosA = [tex]\frac{5}{13}[/tex]

Step-by-step explanation:

cosA = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{5}{13}[/tex]

Answer:

5x + 8y = 720

Step-by-step explanation:

Let the :

Number of kid tickets sold = x

Number of adult tickets sold = y

Hence:

Tickets for kids cost $5 each.

Tickets for adults cost $8 each.

The total sales on opening night is $720.

The equation to show the total sales as a combanation of kid tickets and adult tickets sold is:

$5 × x + $8 × y = $720

5x + 8y = 720

Therefore, the equation to show the total sales as a combanation of kid tickets and adult tickets sold is

5x + 8y = 720

Given:

The expression is

[tex]-5x+4-x-1[/tex]

To find:

The terms, like terms, coefficients and constants.

Solution:

We have,

[tex]-5x+4-x-1[/tex]

It can be written as

[tex]=(-5x)+4+(-x)+(-1)[/tex]

So, terms are [tex]-5x,4,-x,-1[/tex].

It two terms have same variable of same degree, then they are called like terms.

[tex]-5x,-x[/tex] are likes terms because degree of variable is 1 and 4, -1 are like terms because degree of variable is 0.

In the product of a number and a variable, the number is called coefficient.

Variable terms are [tex]-5x,-x[/tex]. So, coefficients are -5 and -1.

Constant terms are free from variable. So, constant terms are 4 and -1.

Terms: [tex]-5x,4,-x,-1[/tex];

Like terms: [tex]-5x, -x;4, -1[/tex];

Coefficients: -5, -1;

Constants: 4, -1

Therefore, the correct option is c.

Answer:

[tex]\angle 1[/tex] and [tex]\angle 3[/tex] are vertical angles and are congruent (have the same measure).

Step-by-step explanation:

[tex]\angle 1[/tex] and [tex]\angle 3[/tex] represent a pair of vertical angles. They are opposite angles to two intersecting lines. Vertical angles are always congruent. None of the other answer choices are implied in the figure.

Answer:

30 degrees

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Answer:

30

Step-by-step explanation:

Answer:

4.

Step-by-step explanation:

First, you have to decide whether the slope is negative or positive. Since the line is going diagonally upward, it is positive.

That means the answer has to be either 3 or 4.

Next, you have to decide whether the y-intercept is negative or positive, on the graph, you can see that it is positive.

Answer choice 4 is the only equation where both the slope and the y-intercept are positive, so it is the answer.

Answer: If the sin 60 degrees is 3/2, then the cost is 22 degrees and equals a bunch of like 88 degrees

Step-by-step explanation:

Answer:

side c-10.35 Angle a-50.88 Angle B-94.12

Step-by-step explanation:

I found the answers on a khan academy thing. I just took the quiz and got a 100%

Answer:

4

......................

Answer:

533.3%

Step-by-step explanation:

simplify the fraction to 16/3 (3x5+1=16)  then you multiply the fraction by 100

which is 533.3 or 533 1/3 %

Answer:

The answer to the question provided is:

[tex]y + 1 = - \frac{6}{13} (x + 8)[/tex]

Step-by-step explanation:

❃Incase you forgot what the point-slope formula is ☟

[tex]y - y_1 = m(x - x_1)[/tex]

❃Incase you also forgot, what the slope formula is ☟

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

➊ First: We are going to be solving for the slope.

[tex]m =  \frac{ - 7 - ( - 1)}{5 - ( - 8)}  =  \frac{ - 6}{ \:  13}  =  - \frac{6}{13} [/tex]

➋Second: Plug in.

[tex]y + 1 = - \frac{6}{13} (x + 8)[/tex]

Answer:

y=5x-8

Step-by-step explanation:

Answer:

89.03

Step-by-step explanation:

29x3.07=89.03

Answer: 133.33%

Step-by-step explanation:

Max invested $5,700 into the new business.

After 7 years this came out to be $13,300.

The total return is calculated as:

= [(Ending investment amount - Beginning investment amount) / Beginning investment amount] * 100

= [(13,300 - 5,700) / 5,700] * 100

= 133.33%

Answer:

The answer is 1

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

The angles are opposites, so they're congruent.

4x - 5 = 3x + 10

4x - 3x = 10 + 5

x = 15

Answer:

The answer is D

Step-by-step explanation:

You cross multiply 5 and 5 and 2 and 6 to create a new fraction

Answer:

12/25

Step-by-step explanation:

so what you would do is keep the first fraction (2/5) then change the symbol then flip the last fraction (5/6). so then you would multiply 2*6= 12 and 5*5=25. so the answer would be 12/25.

Answer:

95% confidence interval to estimate the true proportion of evens rolled on a die.

(0.197368 , 0.762632)

Step-by-step explanation:

Explanation:-

Given A fit is rolled 25 times and 12 evens are observed

proportion    [tex]p = \frac{x}{n} = \frac{12}{25} = 0.48[/tex]

               q = 1 - p = 1- 0.48 = 0.52

Level of significance =0.05

[tex]Z_{0.05} = 1.96[/tex]

95% confidence interval to estimate the true proportion of evens rolled on a die.

[tex](p^{-} - Z_{0.05} \sqrt{\frac{p(1-p)}{n} } , p^{-} + Z_{0.05} \sqrt{\frac{p(1-p)}{n} } )[/tex]

[tex](0.48 - 1.96 \sqrt{\frac{0.48(1-0.48)}{12} } , 0.48 + 1.96 \sqrt{\frac{0.48(1-0.48)}{12} } )[/tex]

( 0.48 - 1.96 (0.1442 , 0.48 + 1.96(0.1442)

( 0.48 - 0.282632 , 0.48 + 0.282632)

(0.197368 , 0.762632)

Final answer:-

95% confidence interval to estimate the true proportion of evens rolled on a die.

(0.197368 , 0.762632)

Answer:

Number of free throws =  9

Step-by-step explanation:

Given that:

Kylie made 18% of her free throws.

Number of attempts = 50

Based on the information, she will make out 18% free throws.

Number of free throws = 18% of 50

Number of free throws = [tex]\frac{18}{100}*50[/tex]

Number of free throws = 0.18 * 50

Number of free throws = 9

Hence,

Number of free throws =  9

Answer:

12

Step-by-step explanation:

Interquartile range (IQR) = third quartile (Q3) - first quartile (Q1)

From the box plot given, the first quartile is located at the beginning of the edge of the rectangular box = 73,

the third quartile is located at the other edge of the rectangular box to your right = 85

Answer:

D. about 40 miles

Step-by-step explanation:

In order to answer the question, you first need to find how many units on the graph Seaside is from Oceanfront - or how long the line between the two points is.

To do this, use the distance formula, [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex].

[tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point, and [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point.  Use the points of Seaside (by looking on the graph, you can see it's (-2,4)) and Oceanfront (also by looking, you can see it's (3, -2)) for the formula:

[tex]d = \sqrt{((-2)-(3))^2+((4)-(-2))^2\\[/tex]

[tex]d = \sqrt{(-2-3)^2+(4+2)^2}[/tex]

[tex]d = \sqrt{((-5)^2+(6)^2\\[/tex]

[tex]d = \sqrt{25 + 36} \\d = \sqrt{61}[/tex]

[tex]\sqrt{61}[/tex] units is about 7.8 units (you can also tell because it's in between [tex]\sqrt{49}[/tex] and [tex]\sqrt{64}[/tex], which equal 7 and 8). Multiply that by 5 (since each unit on the graph represents 5 miles) and the answer is about 40. So, the answer is D.

Answer:

2x + 3y = -6

Step-by-step explanation:

The equation of the new line will be identical to that of the given line except that the constant term will differ.

Start with the given 2x + 3y = 3 and replace x with 3 and y with -4.  We get:

2(3) + 3(-4) = C, and C = 6 - 12 = -6

The equation of the new line is therefore 2x + 3y = -6

Answer:

Triangle ADB is an isosceles triangle that has been split in half. Isosceles triangles are triangles whose base angles are equal and has 2 equal side lengths. For example triangle ADB has AD and DB equal along with m<a and m<b equal

Therefore, if we split this triangle into two half's then they are congruent (the same)

Right triangles have a 90° angle, usually marked by a square

this means that m<DCA is 90°;AD=DB=14m; CB=AC=11; AB=AC+CB=22

Step-by-step explanation: