Which set of three angles could represent the interior angles of a triangle?

A.49,59,72
B.28,58,62
C.39,89,108
D.45,70,85

Answers

Answer 1

the sun interior angles of a triangle must be equal to 180degrees

option A 49, 59, 72 is the only one where the sum of the angles equal to 180 degrees

Answer 2

The set of three angles 49,59,72 represents the interior angles of a triangle option (A) is correct.

What is the triangle?

In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

We have:

Set of three angles:

The triangle's interior angles add up to 180°.

A.49,59,72

= 49 + 59 + 72

= 180(interior angles of a triangle)

B.28,58,62

= 28 + 58 + 62

= 148 (not an interior angles of a triangle)

C.39,89,108

= 39 + 89 + 108

= 236 (not an interior angles of a triangle)

D.45,70,85

= 45 + 70 + 85

= 200 (not an interior angles of a triangle)

Thus, the set of three angles 49,59,72 represents the interior angles of a triangle option (A) is correct.

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Related Questions

help me please please please asap!!!!!!!!!

Answers

Answer:

[tex]\frac{5(x-3)}{6}[/tex]

No excluded values.

Step-by-step explanation:

To simplify the fraction expression, multiply by the reciprocal.

[tex]\frac{5}{x+2} * \frac{x^2-x-6}{6}  =\frac{5(x^2-x-6)}{6(x+2)}=\frac{5(x-3)(x+2)}{6(x+2} = \frac{5(x-3)}{6}[/tex]

Excluded values are values which make the denominator 0 but since there is no variable in the denominator then there are none.

Calculate the side lengths a and b to two decimal places

Answers

Answer:

The answer is (D) ⇒ a = 11.71 , b = 15.56

Step-by-step explanation:

* In ΔABC

∵ m∠A = 45°

∵ m∠B = 110°

∴ m∠C = 180 - 45 - 110 = 25°

By using the sin Rule

∵ a/sin(A) = b/sin(B) = c/sin(C)

∵ c = 7

∴ a/sin(45) = b/sin(110) = 7/sin(25)

∴ a = (7 × sin(45)) ÷ sin(25) = 11.71

∴ b = (7 × sin(110)) ÷ sin(25) = 15.56

∴ The answer is (D)

Answer: a= 11.71 and b= 15.56

Step-by-step explanation:

A pex

Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 2x and y = 4x−2 intersect are the solutions of the equation 2x = 4x−2. (4 points)

Part B: Make tables to find the solution to 2x = 4x−2. Take the integer values of x between −4 and 4. (4 points)

Part C: How can you solve the equation 2x = 4x−2 graphically? (2 points)

Answers

Answer:

See below.

Step-by-step explanation:

Part A: You can solve the equations for an x value which make both true. You do this by setting each equation equal and using inverse operations.

2x = 4x - 2

2x - 4x = 4x - 4x - 2

-2x = -2

x = 1

Part B: You can make a table by substituting the values -4 to 4 in each equation and simplifying.

x     y = 2x      y = 4x - 2

-4           -8            -18

-3           -6             -14

-2           -4             -10

-1             -2            -6

0              0             -2

1               2              2

2              4              6

3              6              10

4              8              14

Part C: You can graph each equation and where they intersect will be the solution. They intersect at (1, 2). This is where they have the exact same x and y value in the table as well.

Answer:

When X= 1 both graphs are in (1,2)

Step-by-step explanation:

In order to evaluate the first part, where the lines intersect is you just have to equalize in opposite sides of the equation both equations:

2x=4x-2

Then you have to clear the x

2x-4x=-2

-2x=-2

x=[tex]\frac{-2}{-2}[/tex]

x=1

So your coordinates are x=1, and the Y coordinate you just evaluate one of the equations:

y=4x-2

y=4(1)-2

y=4-2

y=2

So your coordinate for y=2.

Part B, table.

To evaluate this, you just make a table, giving values to x, and you evaluate the Y:

X----Y

-4    -8

-3    -6

-2    -4

-1     -2

0      0

1       1

2      4

3     6

4     8

Part C.

YOu just hava to put it into the graph by evaluating with the tables above.

the pair of variables x=5, y=7 is the solution to the equation ax–2y=1. Find the coefficient a.

Answers

Answer:

a = 3

Step-by-step explanation:

Put x = 5 and y = 7 to the equation ax - 2y = 1 and solve for a:

(a)(5) - (2)(7) = 1

5a - 14 = 1       add 14 to both sides

5a - 14 + 14 = 1 + 14

5a = 15        divide both sides by 5

5a : 5 = 15 : 5

a = 3

Valerie works in a law office. Her annual salary is 24,000. Valerie is paid monthly and pays income tax of 15% on her earnings over $944 plus $76.60. How much income tax does she pay each month?​

Answers

Valerie's monthly income tax payment is $235.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Now, Based on Valerie's annual salary of $24,000, her monthly salary would be,

$24,000 / 12

$2,000

Hence, To calculate her income tax, we first need to determine how much of her earnings are over $944.

⇒ $2,000 - $944

⇒ $1,056

Thus, Valerie's earnings over $944 are $1,056.

Next, we'll calculate the income tax on that amount.

$1,056 x 0.15 = $158.40

So Valerie pays $158.40 in income tax each month.

Additionally, she pays a fixed amount of $76.60 each month, which brings her monthly total to:

⇒ $158.40 + $76.60 = $235.

Therefore, Valerie's monthly income tax payment is $235.

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Which of the quadratic functions has the narrowest graph?
A) y = 1/3x^2
B) y = 1/8x^2
C) y = -2x^2
D) y = -3x^2

Answers

Answer:

y = -3x² has the narrowest graph

Step-by-step explanation:

D)  y = -3x² has the narrowest graph.  That coefficient "3" stretches the graph of x² vertically.

On the other hand, B) has the widest graph.

Plz help me it’s due tomorrow

Answers

Answer:

7

Step-by-step explanation:

Again just cross multiplication.

84 = 12m

Divide each side by 12.

m = 7.

Rewrite the function by completing the square (vertex form)

f(x)=x^2+16x-46

Answers

Answer:

[tex]\large\boxed{f(x)=(x+8)^2-110}[/tex]

Step-by-step explanation:

[tex]\text{The vertex form of equation}\ y=ax^2+bx+c:\\\\y=a(x-h)^2+k\\\\\text{We have the equation:}\\f(x)=x^2+16x-46=x^2+2(x)(8)-46=x^2+2(x)(8)+8^2-8^2-46\\\\\text{use}\ (a+b)^2=a^2+2ab+b^2\to x^2+2(x)(8)+8^2=(x+8)^2\\\\f(x)=(x+8)^2-64-46=(x+8)^2-110[/tex]

Final answer:

The function f(x)=x^2+16x-46 can be rewritten by completing the square to achieve the vertex form of the function: f(x)= (x+8)^2 - 110. After rewriting, we can determine the vertex of this parabola is located at (-8,-110).

Explanation:

The problem asks you to rewrite the function f(x)=x^2+16x-46 by completing the square. This involves manipulating the quadratic formula to write it in the form f(x)=a(x-h)^2+k where (h,k) is the vertex of the parabola.

So, let's start by rearranging the original function:

f(x)=x^2+16x-46

The coefficient of x is 16; halving this, we get 8. Then we add and subtract (which means adding 0, so we don't change the equation) this within the square to complete the square:

f(x)= (x^2+16x+64) - 64 - 46

Then, the equation can be written as:

f(x)= (x+8)^2 - 110

This is the vertex form of the function. We can see that the vertex of the parabola is at (-8,-110).

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Jenny is holding a fraction tile labeled 1/3. How many 1/3- fraction tiles are needed to equal the fraction tile labeled 1

Answers

Answer:

3

Step-by-step explanation:

Let

x -----> the number of 1/3 fraction tiles

we know that

The linear equation that represent this problem is equal to

[tex]\frac{1}{3}x=1[/tex]

Solve for x

Multiply by 3 both sides to remove the fraction

[tex]\frac{1}{3}x(3)=1(3)[/tex]

[tex]x=3[/tex]

Verify

[tex]\frac{1}{3}+\frac{1}{3}+\frac{1}{3}=1[/tex] -----> is correct

Three times 1/3 is equal 1

Besides 9 and 1, what is one factor of 9?

Answers

Answer:

3

Step-by-step explanation:

Besides 9 and 1, 3 is one factor of 9

Factor of 9:

1 • 9

3 • 3

Answer: 3

If $600 is put in the bank and each year the account earns 7% simple interest, then how much interest will be earned in two years?

Answers

The simple interest earned on $600 put in the bank with 7% rate for 2 years is $84.

What is simple interest?

Simple interest is the amount charged on the principal amount with a fixed rate of interest for a time period. Simple interest calculated only on the principal amount.

The formula for the simple interest can be given as,

[tex]I=\dfrac{Prt}{100}[/tex]

Here, I is the interest amount on the principal amount of P with the rate of r in the time period of t.

Given information-

The principal amount put in the bank is $600.

The rate of simple interest is 7 percent.

The number of years is 2.

Put the value in the above formula as,

[tex]I=\dfrac{600\times7\times2}{100}\\[/tex]

Solve it further as,

[tex]I=84[/tex]

Thus, the simple interest earned on $600 put in the bank with 7% rate for 2 years is $84.

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Click on the value for p that makes this inequality true.

Answers

Answer:0 is the answer

Step-by-step explanation:

The answer would be 0 since 0 is greater than -12.

I have a question. I'm doing a project and want to see how many people would like dogs or cats please comment your answer and if you give me a reason i will give you 5 stars its for 15 points!

Answers

i like both, but i have cats

Answer:

I like dogs because its much fun to play with them, instead of a cat and you can go on a walk with them.

Step-by-step explanation:

Which box-and-whisker plot represents the data set?

12, 10, 16, 19, 18, 14, 4, 18, 4

Answers

Answer:

Its would be number 2

Step-by-step explanation:

Population size: 9

Median: 14

Minimum: 4

Maximum: 19

First Quartile: 7

Third Quartile: 18

Interquatile Range: 11

Answer: Number 2

Step-by-step explanation:

just did the test its the second one in your image.

which sentence can reperesent the inequality 3.5x>7?

A) The sum of 3.5 and a number is greater than 7

B) The sum of 3.5 and a number is greater than or equal to 7

C) The product of 3.5 and a number is greater than 7

D) The product of 3.5 and a number is greater than or equal to 7​

Answers

Answer:

Option C

Step-by-step explanation:

Given in an inequality in variable x as

[tex]3.5x>7[/tex]

In Algebra 3.5x represents the product of 3.5 with x

So the given inequality is equivalent to

the product of 3.5 and a number x is greater than 7.

Hence option C is right

C) The product of 3.5 and a number is greater than 7

Answer:

The product of 3.5 and a number is greater than or equal to 7.

Step-by-step explanation:

what is the exact volume of the cylinder?

Answers

Answer:

54π in³

Step-by-step explanation:

The volume (V) of a cylinder is calculated using the formula

V = πr²h ( r is the radius and h the height )

here r = 3 and h = 6, thus

V = π × 3² × 6 = π × 9 × 6 = 54π in³ ← exact value

A parabola opening down the vertex is (3,0) and passes through (12,-12) what is that written in vertex form?

Answers

Answer:

[tex]\large\boxed{y=-\dfrac{4}{27}(x-3)^2}[/tex]

Step-by-step explanation:

The vertex form of na equation of a parabola:

[tex]y=a(x-h)^2+k[/tex]

We have the vertex (3, 0). Substitute:

[tex]y=a(x-3)^2+0=a(x-3)^2[/tex]

A parabola passes through (12, -12). Put the coordinates of the point to the equation and solve for a:

[tex]-12=a(12-3)^2[/tex]

[tex]-12=a(9)^2[/tex]

[tex]-12=81a[/tex]             divide both sides by 81

[tex]-\dfrac{12}{81}=a\\\\a=-\dfrac{4}{27}[/tex]

Finally:

[tex]y=-\dfrac{4}{27}(x-3)^2[/tex]

I need
PART A:
PART B:
PART C:
PART D:

Answers

Answer:

See below.

Step-by-step explanation:

Solve the equation using each of the properties listed.

3n - 5 = -8(6 + 5n)

3n - 5 = -48 - 40n              Distributive Property

3n + 40n - 5 = -48

43n - 5 = -48                      Addition Property of Equality

43n = -48 + 5

43n = -43                           Addition Property of Equality

n = -43/43

n = -1                                  Division property of Equality

Answer:

Guess that was the answwr

Step-by-step explanation:

Russel's weight is 3/4th of Brooke's weight. Find the ratio of Russel's weight to Brooke's weight?

Answers

the ratio would be 3/4 : 1

Final answer:

The ratio of Russel's weight to Brooke's weight, given that Russel's weight is 3/4 of Brooke's, is 3:4.

Explanation:

The student is asking how to find the ratio of Russel's weight to Brooke's weight given that Russel's weight is 3/4 of Brooke's weight. To find this ratio, it's straightforward since the value 3/4 already represents the ratio of Russel's weight to Brooke's weight.

Therefore, the ratio of Russel's weight to Brooke's weight is 3:4. This simply means that for every 3 parts of weight that Russel has, Brooke has 4 parts of weight. Ratios are usually expressed in simplest form, and since 3/4 is already in its simplest form, we use it as it is.

Triangle A'B'C' is a dilation of

triangle ABC. what is the scale
factor?

enter your answer in the box



Answers

The scale factor is 1/2

Can anyone please explain and solve this Simplify 4^2 • 4^8?

Answers

4²+4⁸=(2²)²+(2²)8

=2⁴+2⁸

=16+256

=272

it's from the properties of indices

First you would need to have the same bases (the number that is getting increased/decreased). Since they are both 4, you don't have to do anything to them. Now, you combine bases. When multiplying, you add the bases. So 2 plus 8 is ten. So, your answer is 4^10, or 1,048,576.

Solve the system of equations and choose the correct answer from the list of options
2x + y = -4

Answers

X=-2-1/2y should be the answer

What percentage is 4 out of 18

Answers

4/18=.2222x100=22.22%

What is the length of segment CD question mark


CD = two square root of 10 end square root

CD = 6

CD = 8

CD = 40

Answers

Answer:

CD = two square root of 10 end square root

Step-by-step explanation:

To find the length of a segment, use the distance formula. Substitute the order pairs for the endpoints of the segment. CD has the end points (-7, -4) and (-1, -2).

[tex]d = \sqrt{(y_2-y_1)^2 + (x_2-x_1)^2} \\\\d = \sqrt{(-4--2)^2 + (-7--1)^2} \\\\d = \sqrt{-2^2 + -6^2}\\\\d = \sqrt{4 + 36}\\\\d=\sqrt {40} = 2\sqrt{10}[/tex]

Mrs. Jones had 1 4/8 pizzas left after a party. After giving some to Gary, she had 7/8 pizza left. What fraction of a pizza did she give Gary?

Answers

Answer:

Mrs. Jones gave 5/8 of the pizza to Gary.

Step-by-step explanation:

We are given that Mrs. Jones had [tex]1\frac{4}{8}[/tex] pizzas left from which she gave some to Gary.

Now that she is left with [tex]\frac{7}{8}[/tex] pizza left, we are to find the fraction of the pizza she gave to Gary.

Assuming [tex]x[/tex] to be the fraction she gave to Gary, we can write it as:

[tex]1\frac{4}{8} - x = \frac{7}{8}[/tex] = 5/8

Answer:

The correct answer is 5/8

Step-by-step explanation:

It is given that,Mrs. Jones had 1 4/8 pizzas left after a party. After giving some to Gary, she had 7/8 pizza left

Let 'x' be the fraction of pizza given to Gary

To find the value of x

We can write,

1 4/8 - 7/8 = x

12/8 - 7/8 =x

x = (12 - 7)/8 = 5/8

Therefore the fraction of a pizza given to Gary = 5/8

What is the solution to the system of equations graphed below?
V= X + 2
= -2x =

Answers

-2v -4 = -2x

just move the +2 to the other side then multiply by a common multiple.

Final answer:

Solutions to systems of equations are typically found at the point where the lines intersect on a graph. For linear equations, this is represented by the equation y = mx + b. Quadratic equations also have solutions known as roots, and ones based on physical data typically have real, positive roots.

Explanation:

Due to the incomplete equation and graph not provided, we can first discuss general methods for finding solutions to systems of equations. One common method is the intersection of two lines on a graph, which illustrates the system of equations. Here, the zeros on the two-dimensional (x-y) graph represent the solution to the equations:

In this scenario, the y-axis represents the variable V, and the x-axis represents the variable X. The primary task is to find the point where these two lines intersect on the graph - this is the solution to the system of equations. The equation of a line is typically a linear equation, represented as y = mx + b, where m is the slope and b is the intercept.

If the equations are quadratic, these also have solutions, known as roots. Quadratic equations constructed on physical data always have real roots, but often only those having positive values are of any significance.

Without the specifics of your graph, an exact solution cannot be provided.

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Can someone please have a heart to help me this is for a grade

Answers

Hey there!

Let's start by solving for x.

Take the first equation, y = -3x - 7, and substitute in the second equation, y = x + 9, for y.

We now have:

x + 9 = -3x - 7

Add 3x to both sides.

4x + 9 = -7

Subtract 9 from both sides.

4x = -16

Divide each side by 4.

x = -4

Let's use the second equation, y = x + 9, to solve for x.

Put in the value we just solved for.

We now have:

y = -4 + 9

Simplify.

y = 5

Let's check our answer, starting with the first equation, y = -3x - 7.

Put in the values for x and y.

5 = -3(-4) - 7

5 = 12 - 7

5 = 5

Do the same with the second equation, y = x + 9.

5 = -4 + 9

5 = 5

The solution to the system of equations is (5, -4).

Hope this helps!

Answer:

(-4, 5)

Step-by-step explanation:

Since y = -3x - 7 in the first equation, substitute y of the second equation with -3x - 7:

-3x - 7 = x + 9

Subtract x from both sides. Add 7 to both sides.

-4x = 16

Divide both sides by -4.

x = -4

Now, substitute -4 for x in the second equation.

y = -4 + 9

y = 5

The solution is:

x = -4; y = 5

As an ordered pair, the solution is:

(-4, 5)

Which ordered pair is a solution of the system below?

{y+2=x
y=2x−5}
Question 8 options:

(1, -3)


(3, 1)


(2, 0)


(0, -5)

Answers

Hello. The answer to your problem is (3, 1). I've included a screenshot of the graph.

ANSWER

(3,1)

EXPLANATION

The given system of equations are

[tex]y + 2 = x...(1)[/tex]

and

[tex]y = 2x - 5...(2)[/tex]

Substitute the first equation into the second equation.

This implies that,

[tex]y = 2(y + 2) - 5[/tex]

Expand using the distributive property,

[tex]y = 2y + 4 - 5[/tex]

Group similar terms,

[tex]y - 2y = 4 - 5[/tex]

[tex] - y = - 1[/tex]

Multiply both sides by -1.

[tex]y = 1[/tex]

Put y=1 into equation (1).

[tex]1 + 2 = x[/tex]

[tex]x = 3[/tex]

The solution is (3,1)


The correct choice is B.

what subsitution should be used to rewrite x^8-3x^4+2=0 as a quadratic equation​

Answers

Answer:

Replace x^2 with m

Step-by-step explanation:

x^8-3x^4+2=0

We want to write this as a quadratic, which means as am^2+bm +c

x^8  needs to become m^2

Let m = x^4

Then m^2 = x^4^2 = x^8

Our equation becomes

m^2 -3m +2 =0

Replace x^2 with m

Answer:

Replace x with  [tex]y^{1/4}[/tex]

Step-by-step explanation:

The general  form of a quadratic equation is  [tex]ax^{2}[/tex] + bx + c.

To  find a substitution  we have to think of a way of substituting ‘x’ to make it have a power of 2,

Here, we will use [tex]y^{1/4}[/tex]  

[tex]x^{8}[/tex] - [tex]3x^{4}[/tex] +2 = 0

let x = [tex]y^{1/4}[/tex]

so it gives

([tex]y^{1/4}[/tex])^8 – 3( [tex]y^{1/4}[/tex] )^4 +2 = 0

[tex]y^{2}[/tex] – 3y + 2 = 0

Solving the equation

[tex]y^{2}[/tex]  - 2y – y + 2 =0

([tex]y^{2}[/tex] – 2y) -1(y – 2) = 0

y(y - 2) -1(y - 2) = 0

(y-1) (y-2)

:- y = 1 or y = 2

Since x = [tex]y^{1/4}[/tex]  

When y = 1

X = [tex]1^{1/4}[/tex]

X = [tex]4\sqrt{1}[/tex]

X = 1

and when  y = 2

X = [tex]2^{1/4}[/tex]

X = [tex]4\sqrt{2}[/tex]

X = 1.1892...

least to greatest 1 8/35, 1.3, 5/4​

Answers

Answer:1/3  <  1 8/35  <  5/4

Step-by-step explanation:

Showing Work

Rewriting as fractions if necessary:

43/35, 1/3, 5/4

The least common denominator (LCD) is: 420.

Rewriting as equivalent fractions with the LCD:

516/420, 140/420, 525/420

Ordering these fractions by the numerator in order from least to greatest:

140/420 < 516/420 < 525/420

Therefore, your input in order from least to greatest is:

1/3 < 1 8/35 < 5/4

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