The measures of the angles of a triangle are shown in the figure below. Find the
measure of the smallest angle.
(6x+3)°
(2x+7)°

Answer:

Step-by-step explanation:

31/2x-7

The value of b that will cause the system to have an infinite number of solutions is 6.

Given the following system of equation expressed as:

y = 6x – b

-3x + 1/2 y = -3

Rewrite equation 2:

1/2 y = 3x - 3

y = 6x - 6

Equate the right hand side of both equations

6x - b = 6x - 6

For the equation to have  infinite number of solutions, the expression on both sides must be the same.

Comparing both sides;

-b = -6

b = 6

This gives the required value of b

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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.

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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.

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]

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.

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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

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Answer: #1 / A

Step-by-step explanation:

Answer:

No solution

Step-by-step explanation:

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

In the football club, the percentage of 15-year 12 pupils out of 46 pupils is equal to 30%.

The proportion can be found by dividing the number of 15-year pupils by the total number of pupils. Therefore;

number of 15-year pupils / total number of pupils = 12 / 46 = 0.260

Rounding it to one decimal;

0.260 = 0.3

Percentage in mathematics can be defined as a number or a rate in each hundred. A decimal value can be converted into a percentage by multiplying the decimal value by 100.

0.3 × 100 = 30%

Therefore, the proportion of the 15-year pupils in the football club is 12/46 and this proportion can be written in percentage as 30%.

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Answer: 59

Step-by-step explanation:

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

[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

Answer:

0.000001382 if you divide

The coordinates of the second end point of the line is (8, -12).

For the given question;

The end point of the line segment is (0,0).

The mid-point of the line segment is at  (4,-6).

Thus,

(x₁, y₁) = (0,0)

(x₂, y₂) = ?

(xₐ, yₐ) = (4,-6)

Thus, the formula for finding the mid point is;

xₐ = (x₁ + x₂)/2

Put the values;

4 = (0 + x₂)/2

On simplification;

x₂ = 8.

For y coordinate;

Thus, the formula for finding the mid point is;

yₐ = (y₁ + y₂)/2

Put the values;

-6 = (0 + y₂)/2

On simplification;

x₂ = -12

Thus, the coordinates of the second end point of the line is (8, -12).

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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

[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:

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]

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

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Answer:

1,312.5

Step-by-step explanation:

6.25x10=62.5

3500x62.5%=2,187.5

3500-2,187.5=1,312.5

I hope this is correct :-|

we have

3500 = Pe^(0.0625) x(10)

3500= Pe^(0.625)

P = 3500 / e^(0.625) = 1873

thus 1873 Macaws remaining in 10 years

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).

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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.

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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

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Answer:

Step-by-step explanation:

Hope it helps :D

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.

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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.

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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

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.

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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:

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