What do the following two equations represent?

Choose 1 answer:
A.The same line
B.Distinct parallel lines
C.Perpendicular lines
D.Intersecting, but not perpendicular lines

Answer:

q = 20

Step-by-step explanation:

The two angles shown in the image are supplementary angles which means their sum is equal to 180°

We can find the value of q using the following equation:

78 + 5q + 2 = 180 add like terms

80 + 5q =180 subtract 80 from both sides

5q = 100 divide both sides by 5

q = 20

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textsf{Guide to follow:}[/tex]

[tex]\bullet\large\textsf{ A supplementary angles (}\angle\large\textsf{) is equal to 180}^\circ\\\bullet\large\textsf{ A complementary angles (}\angle\large\textsf{) is equal to 90}^\circ[/tex]

[tex]\star \large\textsf{ The current angel that you are working with is a \boxed{\mathsf{supplementary \ angle \ (\angle)}}}}\\\large\textsf{so that means means \large\textsf{that your angle is equal to \boxed{\mathsf{180 ^\circ}}}}[/tex]

[tex]\huge\textsf{What does your equation look like?}[/tex]

[tex]\mathsf{(78) + (5q + 2) = 180}[/tex]

[tex]\huge\textsf{How we solve for your equation?}[/tex]
[tex]\mathsf{(78) + (5q + 2) = 180}[/tex]
[tex]\mathsf{78 + 5q + 2 = 180}[/tex]
[tex]\large\textsf{COMBINE the LIKE TERMS}[/tex]
[tex]\mathsf{(78 + 2) + (5q) = 180}[/tex]
[tex]\mathsf{78 + 2 + 5q = 180}[/tex]
[tex]\mathsf{80 + 5q = 180}[/tex]
[tex]\large\textsf{Simplifying}[/tex]
[tex]\mathsf{5q + 80 = 180}[/tex]
[tex]\large\textsf{SUBTRACT 80 to BOTH SIDES}[/tex]
[tex]\mathsf{5q + 80 - 80 = 180 - 80}[/tex]

[tex]\large\textsf{Simplify it:}[/tex]

[tex]\mathsf{5q = 180 - 80}[/tex]

[tex]\mathsf{5q = 100}[/tex]

[tex]\large\textsf{DIVIDE 5 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{5q}{5} = \dfrac{100}{5}}[/tex]

[tex]\large\textsf{Simplify it:}[/tex]

[tex]\mathsf{q = \dfrac{100}{5}}[/tex]

[tex]\mathsf{q = 20}[/tex]

[tex]\huge\textsf{So, what does mean your answer should be?}[/tex]

[tex]\huge\text{Therefore, your answer should be: \boxed{\mathsf{q = 20}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Probability of choosing a red gumball choosing a blue gumball and choosing a green gumball are 2/9,  3/9,   4/9   RESPECTIVELY.

four green balls three blue gumballs and two red gumballs all the same size and shape.

total number of balls =9;

red ball =2

green ball=4

blue ball =3

as we know, the probability formula by simply dividing the favorable number of outcomes by the total number of possible outcomes.

so, according to the question;

probability of choosing a red gumball choosing= no. of red balls/total number of balls

=>2/9=0.22

probability of choosing a blue gumball choosing= no. of blue balls/total number of balls

=>3/9=0.33

probability of choosing a green gumball choosing= no. of green balls/total number of balls

=>4/9=0.44;

LEARN MORE ABOUT PROBABILITY-

https://brainly.com/question/13604758

#SPJ4

The true statement about the values x = - 2 and y = -0.5 is that: D. they are the only values that make both equations true.

An equation can be defined as a mathematical expression which shows that two (2) or more thing are equal.

In Mathematics, a point of intersection can be defined as the location on a graph where two (2) lines intersect, meet, or cross each other, which is typically represented as an ordered pair containing the point, x-axis and y-axis.

This ultimately implies that, a point of intersection simply represents the ordered pairs (values) that make a system of equations true.

Read more on equations and intersection here: https://brainly.com/question/13858139

#SPJ1

Complete Question:

Lan graphs these equations and finds that the lines intersect at a single point,

(-2,-0.5).

Equation A: 4y - 3x = 4

Equation B: -2x + 8y = 8

Which statement is true about the values x = -2 and y = -0.5?

A. They satisfy equation A but not equation B.

B. They satisfy equation B but not equation A.

C. They show that the equations represent the same line.

D. They are the only values that make both equations true.

Longest display is 1.125 inches longer than the shortest display.

Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.

Given Data

Size of cell phones

5.625 inches

5[tex]\frac{1}{2}[/tex] inches = [tex]\frac{11}{2}[/tex] inches

5.5 inches

6[tex]\frac{1}{4}[/tex] inches = [tex]\frac{25}{4}[/tex] inches

6.25 inches

5.125 inches

Longest display = 6.25 inches

Shortest display = 5.125 inches

Difference = longest display - shortest display

Difference = 6.25 - 5.125

Difference = 1.125

Longest display is 1.125 inches longer than the shortest display.

To learn more about fraction, visit:

https://brainly.com/question/10354322

#SPJ9

With an income of $57,890, you need to pay $12,735.8 in taxes.

What is mean by proportion?

A proportion is a fraction of a total amount, in which two ratios are set equal to each other.

Given that;

For incomes from $38,701 up to $82,500, you need to pay 22% in taxes.

And, No federal taxes up to $9,525, 12% for income from $9,526 up to $38,700, 22% for income from $38,701 up to $82,500.

Now,

An income of $57,890 is in this range, hence the amount paid is given by;

Amount paid = 57890 x 22%

                    = 57890 x 0.22

                    = $12,735.8.

So, Paid amount for the tax = $12,735.8

Thus, With an income of $57,890, you need to pay $12,735.8 in taxes.

Learn more about the proportional visit:

https://brainly.com/question/18437927

#SPJ1

Answer:

0.79 greater than 0.789 by 0.001

Step-by-step explanation:

[tex]{ \tt{ \delta x + 0.79 = 0.789}} \\ { \tt{ \delta x = 0.001}}[/tex]

Using the special parallelograms the proof with regard to the EFGH rectangle that triangle FJG is an isosceles is completed and attached. See further explanations below.

Proofs are examples of exhaustive deductive reasoning that establishes logical certainty, as opposed to empirical arguments or non-exhaustive inductive reasoning that establishes "reasonable expectation."

The following are various kinds of proof:

Learn more about parallelograms:
https://brainly.com/question/20526916
#SPJ1

Answer:

5 clusters

Step-by-step explanation:

This is because she went to the market with 50 pesos and buys one bag of papayas for 20 pesos.

That means that her the remaining money she would have would be 50-20=30.

she would have 30 pesos.

Each banana cost 6 pesos so, she would buy 5 clusters because 30÷6=5

[tex](\stackrel{x_1}{7}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{-2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-2}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{7}}} \implies \cfrac{ -6 }{ -3 }\implies 2[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{2}(x-\stackrel{x_1}{7}) \\\\\\ y-4=2x-14\implies {\Large \begin{array}{llll} y=2x-10 \end{array}}[/tex]

Answer:

7/49

Step-by-step explanation:

there is a sequence so you just need to follow it

so 11, 10, 9, 8 then the next one will be 7

Answer: 80un^2

Step-by-step explanation:

The length of AB is 10

The length of BC is 8

The length of CD is 10

The length of DA is 8

10 x 8 = 80 and there are two pairs of 8 and ten which makes it 80un^2

The inequality for maximum number of people is 710 ≥ 9 + 10.75p

The correct option is (d)

Given,

Total money spend on amusement park is $710

Parking charge is $9.

and, tickets cost $10.75 per person

To find the inequality for maximum number of people (p) who can go to the amusement park?

Now, According to the question:

Costs of people tickets = 10.75 p

Total Cost will be = 9 + 10.75p

The inequality will be

9 + 10.75p ≤ 710

=> 710 ≥ 9 + 10.75p

Hence, The inequality for maximum number of people is 710 ≥ 9 + 10.75p .The correct option is (d).

Learn  more about Inequality at:

https://brainly.com/question/28823603

#SPJ1

Answer:

No solution

Step-by-step explanation:

A number squared cannot be negative. It is a trick question.

Answer:

0.000001382 if you divide

The amount that Justin would have to pay the pizza shop if he bought 12 slices of pizza this month is $15.

The monthly cost for x slices of pizza is $25 + $1.5x

In order to determine the amount that Justin would have to pay the pizza shop if he bought 12 slices of pizza can be determined by multiplying the cost per pizza by the number of pizzas sold.

Multiplication is the operation used in mathematics that is used to calculate the product of two or more numbers. The sign that is used to represent multiplication is x.

Cost of 12 slices of pizza = discounted price x number of slices bought

$1.25 x 12 = $15

The monthly cost is the sum of the membership fee and the total cost of the pizzas bought

Monthly cost = monthly membership fee + cost of the slices

Monthly cost = monthly membership fee + (discounted price x number of slices bought)

$25 + (1.25 x x)

$25 + $1.25x

To learn more about total cost, please check: https://brainly.com/question/25717996

#SPJ1

The equation that can be use to find the how many miles, x, Omar ran each day after work is x =  (Total distance he ran in one week - The total distance he run before the work in one week) ÷ 7, he ran 6 miles each days  after work

The total number of days he run = 7 days

Total distance he ran in one week = 63 miles

The distance he run before the work = 3 miles

The total distance he run before the work in one week= 7×3

= 21 miles

The total distance he run after the work = 63 - 21

= 42 miles

The equation that can use to find how many mile x, Omar ran each day after work = (Total distance he ran in one week - The total distance he run before the work in one week) ÷ 7

Substitute the values in the equation

= 42/7

= 6 miles

Hence, the equation that can be use to find the how many miles, x, Omar ran each day after work is x =  (Total distance he ran in one week - The total distance he run before the work in one week) ÷ 7, he ran 6 miles each days  after work

Learn more about equation here

brainly.com/question/545403

#SPJ1

Answer:

-0.8

Step-by-step explanation:

=0.3-0.8*0.5-0.1

= -0.3-0.4-0.1

= -0.7-0.1

= -0.8

Answer:

0.5

Step-by-step explanation:

(-6,-5) ( 6,1)  The slope is the change in y over the change in x.

([tex]x_{1}[/tex],[tex]y_{1}[/tex]) ([tex]x_{2}[/tex], [tex]y_{2}[/tex])  Will will use this for the points above and then put in the numbers

[tex]\frac{y_{2 - y_{1} } }{x_{2 - x_{1} } }[/tex]

[tex]\frac{1 - -5}{6 - -6}[/tex]

[tex]\frac{1+ 5}{6+6}[/tex]

[tex]\frac{6}{12}[/tex]

[tex]\frac{1}{2}[/tex] = 0.5 as a decimal

If you start at any point on the line and go up one unit and 2 units of the right, you will end up on the line again.  This pattern repeats over and over and over.

Using properties of exponents, the simplified expression for 5³ x 5^(-5) is given by:

A. 1/(5²).

The exponent property applied to multiply the terms with the same base but different exponents is that we keep the bases and then add the exponents.

For this problem, the expression is given as follows:

5³ x 5^(-5)

Hence:

Adding the exponents, we have that:

3 + (- 5) = 3 - 5 = -2.

Hence the simplified expression is:

5³ x 5^(-5) = 5^(-2).

When a number has a negative exponent, we can move it to the denominator, then the exponent becomes positive, hence:

5^(-2) = (1/5)² = 1/5² = 1/25.

Meaning that option A is correct.

The expression in this problem is 5³ x 5^(-5), and the correct options are given by the image at the end of the answer.

More can be learned about properties of exponents at https://brainly.com/question/25263760

#SPJ1

Using the slope of the linear function, it is found that 50 megabytes are transferred every 10 seconds.

A linear function is modeled according to the following rule, in slope-intercept form:

y = mx + b

In which:

For this problem, the function is given as follows:

S(t) = 5t + 45.

The slope of m = 5 means that every one second, 5 megabytes are transferred, hence the amount transferred every 10 seconds is given by:

Amount = 5 x 10 = 50 MB.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

Answer: 59

Step-by-step explanation:

[tex]51+x+70=180\\\\121+x=180\\\\x=59[/tex]

Answer:

x < -7/6

Step-by-step explanation:

In a equation that show a greater than or less than sign can be a equal sign .

[tex]4 {x}^{3} - 36x = 0 \\ 4x( {x}^{2} - 9) = 0 \\ 4x = 0 \\ \\ or \\ {x}^{2} - 9 = 0 \\ \\ \frac{4x}{4} = \frac{0}{4} =0 \\ \\ \\ (x - 3)(x + 3) = 0 \\ \\ x + 3 = 0 \\ \\ or \\ x - 3 = 0 \\ \\ \\ x = 0 \\ or \\ x = - 3 \\ \\ or \\ \\ x = 3[/tex]

ATTACHED IS THE SOLUTION

The fractions are divided to give 77/144. Option A

A fraction can simply be defined as the part of a whole set or element.

The types of fractions includes;

Examples of simple fractions are: 1/2 , 1/4

Examples of proper fractions are; 2/3, 5/6

Examples of improper fractions are; 5/3, 9/7

Examples of mixed fractions are; 2 1/2, 3 1/4

Given the expression as;

2 3/4 ÷ 5 1/7

Turn into improper fractions

11/4 ÷ 36/7

Take the inverse of the divisor

11/4 × 7/36

Multiply the numerators and denominators

77/144

Thus, the value is 77/144

Learn more about fractions here:

https://brainly.com/question/1622425

#SPJ1

Answer: #1 / A

Step-by-step explanation:

Answer:

Step-by-step explanation:

31/2x-7

Answer:

3, 4, 5

6, 8, 10

5, 12, 13

Step-by-step explanation:

If you are given side lengths and must determine if it is a right angle, you will use the Pythagorean Theorem. Which states that the square length of the hypotenuse (longest side of a triangle) must equal to the sum of the square length of the two shortest.

Formula: a² + b² = c²

2, 4, 6

a² + b² = c²

(2)² + (4)² ≟ (6)²

4 + 16 ≟ 36

20 ≠ 36

3, 4, 5

a² + b² = c²

(3)² + (4)² ≟ (5)²

9 + 16 ≟ 25

25 = 25

6, 7, 9

a² + b² = c²

(6)² + (7)² ≟ (9)²

36 + 49 ≟ 81

85 ≠ 81

6, 8, 10

a² + b² = c²
(6)² + (8)² ≟ (10)²

36 + 64 ≟ 100

100 = 100

5, 12, 13

a² + b² = c²

(5)² + (12)² ≟ (13)²

25 + 144 ≟ 169

169 = 169

Using permutation and combination we can calculate that she can get 63 different types of pizza.

Permutations and combinations are the various ways in which elements from a set may be chosen, typically without replacement, to create subsets. This choice of subsets is known as a permutation when the order of the selection is taken into account, and as a combination when it is not.

The total of the decisions we make given an initial set of n items is known as a combination. Permutation, on the other hand, counts the number of possible arrangements of n separate items. This will help us recall that combinations place more emphasis on choice than on placement, order, or arrangement.

Now Cody can get any two toppings out of the 7.

Number of ways in which Cody can pick 2 toppings out of 7 is given by the use of combination,

7C2 = 21 different ways.

Again the number of ways in which 3 different pizza s can be selected is given by 21 × 3 = 63 ways.

Hence Cody can create 63 different pizzas.

To learn more about permutation and combination visit:

https://brainly.com/question/28720645

#SPJ1

Answer:

Step-by-step explanation:

Hope it helps :D