Select all the equations that have {6} as its solution set.

15−x=54x

8+3x=6x−10

x2+2=7x−4

43−4x=3x−1

Answer:

SAS - If a two sides and the angle between them are congruent to another two sides and the angle between them, the triangles are congruent

two sets of congruent sides, a set of congruent angles between the sides

ASA - If two angles and the side between them are congruent to another two angles and the side between them, the triangles are congruent

two sets of congruent angles, a set of congruent sides between the angles

AAS - If two angles and a side next to them are congruent to another two angles and the side next to them, the triangles are congruent

two sets of congruent corresponding angles, a pair of congruent sides next to the angles

HL - If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and leg of another right triangle, the two triangles are congruent, and the other leg of the two right triangles are congruent.

two congruent hypotenuses and two congruent legs  of a right triangle

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

The shape in image is an equilateral triangle which means all of it's angles has equal measurements:

2x - 4 = 5y and that is equal to 60 degrees

2x - 4 = 60 add 4 to both sides

2x = 64 divide both sides by 2

x = 32

Answer:

Step-by-step explanation:

(a - b)² = a² - 2ab + b²

(x -4)² - (x - 4)(x +3) = 35

x² - 8x + 16 - [ x(x +3) - 4(X +3)] = 35

x² - 8x + 16 - [x² + 3x - 4x - 12 ] = 35

x² - 8x +16 - [ x² -x - 12] = 35

x² - 8x + 16 -x² + x + 12 = 35

x² - x² - 8x + x  + 16 + 12 = 35   {Combine like terms}

-7x + 28 = 35

-7x = 35 -28

-7x = 7

x = 7/-7

x = -1

Answer:

6,000

Step-by-step explanation:

The running distance is 4.23 miles, the swimming distance is 1.98 miles and the cycling distance is 35.64 miles.

Each racer travels the same distance and the sum of the distances travelled ([tex]x[/tex]), in miles. By definition of average speed ([tex]v[/tex]), in miles per hour, we get the following system of equations:

Amanda

[tex]t_{A} = \frac{x_{R}}{v_{A, R}}+\frac{x_{S}}{v_{A,S}}+\frac{x_{C}}{v_{A,C}}[/tex] (1)

Where:

Bryce

[tex]t_{B} = \frac{x_{R}}{v_{B, R}}+\frac{x_{S}}{v_{B,S}}+\frac{x_{C}}{v_{B,C}}[/tex] (2)

Where:

Corey

[tex]t_{C} = \frac{x_{R}}{v_{C, R}}+\frac{x_{S}}{v_{C,S}}+\frac{x_{C}}{v_{C,C}}[/tex] (3)

Where:

If we know that [tex]t_{A} = 2.7\,h[/tex], [tex]v_{A,R} = 10\,\frac{mi}{h}[/tex], [tex]v_{A,S} = 4\,\frac{mi}{h}[/tex], [tex]v_{A, C} = 20\,\frac{mi}{h}[/tex], [tex]t_{B} = 3.27\,h[/tex], [tex]v_{B,R} = 7.5\,\frac{mi}{h}[/tex], [tex]v_{B,S} = 6\,\frac{mi}{h}[/tex], [tex]v_{B,C} = 15\,\frac{mi}{h}[/tex], [tex]t_{C} = 1.833\,h[/tex], [tex]v_{C,R} = 15\,\frac{mi}{h}[/tex], [tex]v_{C,S} = 3\,\frac{mi}{h}[/tex] and [tex]v_{C,C} = 40\,\frac{mi}{h}[/tex], then the solution of the linear system of equations is:

[tex]\frac{x_{R}}{10} + \frac{x_{S}}{4} + \frac{x_{C}}{20} = 2.7[/tex] (4)

[tex]\frac{x_{B}}{7.5}+\frac{x_{S}}{6} +\frac{x_{C}}{15} = 3.27[/tex] (5)

[tex]\frac{x_{R}}{15}+\frac{x_{S}}{3} +\frac{x_{C}}{40} = 1.833[/tex] (6)

[tex]x_{R} = 4.23\,mi[/tex], [tex]x_{S} = 1.98\,mi[/tex], [tex]x_{C} = 35.64\,mi[/tex]

The running distance is 4.23 miles, the swimming distance is 1.98 miles and the cycling distance is 35.64 miles.

We kindly invite to check this question on systems of linear equations: https://brainly.com/question/20379472

Answer:

-3

Step-by-step explanation:

Slope formula

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

The stumbling block for most people is what exactly do you do the what's in the brackets of something like g(x+ 4) = 2x

The answer is, whatever you see on the left side where g(x) gets modified, you put on the right side wherever you see an x.

In this question

H( x) = x ^2

So if you see anything besides x on the left, then that's what goes on the right for x.

H(x + a) - H(x)/a = (x + a)^2 - (x^2)/a

You can expand this, but I don't see a reason for doing it.

H(x + a) - H(x)/a = (x + a)^2 - (x ^2)/a = x^2 + 2a + a^2 - x^2/a which gets you nowhere.

Answer:

-2x, x, 5x

Step-by-step explanation:

Answer:

Step-by-step explanation:

Like terms a self-explanatory. These are values that are alike. There has to be something they share in common. And those are: same variables, integers, etc. Am integer that is alike in terms has to have the same variable. For instance, 3x and 3y are not alike because they do not share the same variable.

3xy

It may have an "x" with it, but it is not alike because it also contains another variable, "y", which is not the same as "3x".

3

This may confuse people. Just because it is "3" and we have "3x" doesn't mean they are alike. There is no "x" in 3. And three is an integer.

7y

Seven has a y, which is different from an x.

Answer:

0 is the answer..(•‿•)(. (•‿•)(•‿•)(•‿•)

Answer:

105.6 km

Step-by-step explanation:

Use: King Henery Doesn't Usually drink chocolate milk

K in king stands for kelo

H in Henery stands for hecto

D in Doesn't stands for deka

U in Usually stands for Meters, Liters, and Grams

d in drink stands for Deci

c in chocolate stands for Centi

And m in milk stands for milli

Answer:

73

7.32

7.23

7.3

hope this helps☆☆

Answer:

116

Step-by-step explanation:

Fast and loose: The two triangles are congruent by SSS (they are both right triangles, the hypotenuse is in common, one of the sides is congruent as a given, the second has to be because of pythagorean theorem). The two angles are thus congruent, and their measure is the same:

[tex]2x+20 = 5x-37 \rightarrow 3x=57 \rightarrow x=19[/tex]

Found x, we can find the measure of the larger angle which is [tex](2\times 19 + 20 )\times 2 = 58 \times 2 = 116[/tex]

Answer:

Angle fgh=116

Step-by-step explanation:

Since segments FI and HI are congruent and angles H and F are congruent we can safely assume that angles FGI and HGI are congruent too. Since they are congruent we're going to set up our equation like so:

(2x+20)=(5x-37)

Now we set the equations equal to each other to solve for x

-3x=-57

Divide the -3 by both sides

x=19

Now we have to plug the x into the equations

2(19)+20 and 5(19)-37

Our answer is 58 for both equations

Now we have to add 58+58 because we're solving for FGH not just FGI or HGI.

SO our final answer is 116

(Hope this helps! If I did this wrong someone please correct me and respond to this answer so that I can delete it. Have a great day!)

Answer:

b = 39

Step-by-step explanation:

To complete the full circle would need 360°

So, the equation is:

b + 28 + 293 = 360

b + 321 = 360

b = 360 - 321

b = 39

Answer:

The smaller angle is 20 degrees.

Step-by-step explanation:

A triangle's interior angles must have a sum of 180 degrees. Hence the two acute angles must have a sum of 180-90=90 degrees.

Say that the angles have 2x and 7x length:

2x+7x=90

9x=90

x=10

Hence the acute angles have degrees 2*10=20, 7*10=70.

The smaller angle is 20 degrees.

Hope this was helpful!

Answer:

I think this is it 2/36=1/18

Step-by-step explanation:

if x = 2/3 then you will multiply by the reciprocal of 12 which is 1/12.

2/3x1/12= 2/36

simplified 1/18

Answer:

16.50

Step-by-step explanation:

2.50 + 3(3) + 2(3.50) = 2.50 + 9 + 5 = 16.50

Answer:

2

Step-by-step explanation:

One thing on flour costs $2.50

Three things of shredded cheese costs $9.00

$9.00 + $2.50=11.50

$18.50-11.50=$7.00

$7.00/$3.50=(2)

Answer:

3/4 ÷ 1/8 = 6

Step-by-step explanation:

first you would have to figure out how to make them even factors.

6/8 ÷ 1/8

Then you would divide, and get 6.

Answer:

B. 30

Step-by-step explanation:

2m^2 + 12

m = 3

2(3)^2 + 12

3 squared is 9

2(9) + 12

2 times 9 is 18

18 + 12 = 30

2m^2 + 12 = 30

So we subtitute 3 to any "m" in your problem so,

2m^2+12

2(3)^2+12

2(9)+12

18+12

30

So,  B is the correct answer!

Answer:

x = 3 and y = -5

Step-by-step explanation:

[tex]5x - 3y = 30 \\ 7x - 3y = 36 \\ \\ - 1(5x - 3y = 30) \\ 7x - 3y = 3 \\ \\ - 5x + 3y = - 30 \\ 7x - 3y = 36 \\ 2x = 6 \\ x = 3 \\ \\ 5(3) - 3y = 30 \\ 15 - 3y = 30 \\ - 3y = 30 - 15 \\ - 3y = 15 \\ \frac{ - 3y}{ - 3} = \frac{15}{ - 3} \\ y = - 5[/tex]

equilateral triangle

Answer:

9 + 4 = $13, Ms. Brown has 10 dollars which is not enough to pay for both Cranberry and Granola.

Step-by-step explanation:

Alright, so Cranberry is 3.25 per pound, and Granola is 2.19 per pound.

(2.9 and 1.75 is how many pounds of both Cranberry and Granola she wants.)

2.9 × 3.25 = 9.4

1.75 × 2.19 = 3.8

So when rounding,  9.4 would be rounded to 9. Then 3.8 would be rounded to 4. So no, Ms. Brown doesn't have enough to pay for both. 9 + 4 = $13

Have a good day friend! :D

Answer:

Let us use the variable "x" to represent the cost per Ib for each mix.

Cranberry: x = 2.9

Granola: x = 1.75

Ms.Brown buys 1.75 pounds of granola and 2.9 pounds of cranberry. Since the cost per pounds represent x, we can write the follow:

[tex]2.19(1.75)+3.25(2.9)[/tex]

[tex]3.83 + 9.42 = 13. 25[/tex]

Round to nearest cent,

Total Cost= $13

Since it is given that Ms.Brown has a $10 budget, she won't have enough for the purchase. She'll need $3 more.

Answer:

1/1000

Step-by-step explanation:

Step-by-step explanation:

He gets five positive reviews

Answer:

(6, -1)

Step-by-step explanation:

4x = 24

x = 6

2(6) + 7y = 5

12 + 7y = 5

7y = -7

y = -1

Answer:

32.24

Step-by-step explanation:

Answer:

380 days

Step-by-step explanation:

38 × 1 = 38 38 × 6 = 228    

38 × 2 = 76 38 × 7 = 266

38 × 3 = 114 38 × 8 = 304

38 × 4 = 152 38 × 9 = 342

38 × 5 = 190 38 × 10 = 380

20 × 1 = 20 20 × 6 = 120

20 × 2 = 40 20 × 7 = 140

20 × 3 = 60 20 × 8 = 160

20 × 4 = 80 20 × 9 = 180

20 × 5 = 100 20 × 10 = 200

20 x 10 = 200  20 x 20 = 400

so 20 x 19 = 380

First common number in both times table is 380