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State what additional information is required in order to know that the triangles are congruent for the reason given.

Let's solve for x.

3x+y+z=6

Step 1: Add -y to both sides.

3x+y+z+−y=6+−y

3x+z=−y+6

Step 2: Add -z to both sides.

3x+z+−z=−y+6+−z

3x=−y−z+6

Step 3: Divide both sides by 3.

3x3

=−y−z+6/3

x=−1/3y+−1/3z+2

The lights which were on was 48%.

A percentage is a number or ratio that can be expressed as a fraction of 100.

Given that there were 72 lights on, and 78 lights turned off.

We need to find the percent of the lights turned on.

So, percentage of something =

= number of thing / total number of the thing x 100%

Here, the number of thing = light on = 72

Total = 72 + 78 = 150

So, the percent of light on = 72 / 150 x 100% = 0.48 x 100%

= 48%

Hence the lights which were on was 48%.

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Answer:

y= 6

Step-by-step explanation:

First you substitute in the 8 for x. you then multiply 8 times 8 which equals 64. you subtract 64 from 4 and 64, since it would be the opposite of addition. you would then take the -10y=-60, and you would divide by negative 10 to get y by itself. since negative 60 divided by negative 10 is a positive 6, your answer would be y equals 6.

Answer:

4th option

Step-by-step explanation:

We require to find the 3rd angle in the triangle, that is

third angle = 180° - (75 + 50)° = 180° - 125° = 55°

Using the Sine rule in the triangle

[tex]\frac{x}{sin75}[/tex] = [tex]\frac{13}{sin55}[/tex] ( cross- multiply )

x × sin55° = 13 × sin75° ( divide both sides by sin55° )

x = [tex]\frac{13sin75}{sin55}[/tex]

Answer:

Zoe gastó más de 569 dólares.

Step-by-step explanation:

Saludos

the answer would be D, because it says "more than -569 dollars"

Answer:

numerator is a binomial

Step-by-step explanation:

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

Answer:

[tex] \frac{x - 8}{3x} - \frac{3x}{ {x}^{2} } \\ \\ \frac{x - 8}{3x} - \frac{3}{x} \\ \\ \frac{x - 8 - 9}{3} \\ \\ \frac{ x - 17}{3x} [/tex]

Answer:

[tex] \\ \frac{x - 8}{3x} - \frac{3x}{ {x}^{2} } [/tex]

[tex] \\ = \frac{x - 8}{3x} - \frac{3 {\cancel{x}}}{{ \cancel {x^2} }} [/tex]

[tex] \\ = \frac{x - 8}{3x} - \frac{3}{x} [/tex]

[tex] \\ = \frac{x - 8 - 9}{3} [/tex]

[tex] \\ = \frac{x - 17}{3x} [/tex]

Answer

2x - 7 = 4

Step-by-step explanation:

Answer:

2x-7=4

Step-by-step explanation:

seven less is a number minus 7 so __ - 7

a product of a number and 2 is multiplication so 2 * x or 2x therefore 2x-7

is 4 means equals 4 so 2x-7=4

voila

Answer:

the smaller number is 27.

Step-by-step explanation:

set two numbers are a and b

one number is less that twice of a number:

let's say a is 5 less than twice of b

so we have : a=2b-5

sum of the two numbers is 76: we have a+b=76

then we set up the system of equation[tex]\left \{ {{a=2b-5} \atop {a+b=76}} \right.[/tex]

substitude a = 2b - 5 into the second equation

we have,

2b - 5 + b = 76

3b - 5 = 76

3b = 81

b = 27

Since a + b = 76 so a = 49

Answer:I think it is B

Step-by-step explanation:

Answer:

He added 3.5 and 5 instead of multiplying them.

Step-by-step explanation:

Answer:

-45

Step-by-step explanation:

Answer:

4x + 6y

Step-by-step explanation:

Answer:

uhm. i dont understand what you put in the question area lol

Step-by-step explanation:

Answer:

1/43

Step-by-step explanation:

6 - 5 = 1

24 - (-19) = 43

Slope is 1/43

Answer:

x = 24

Step-by-step explanation:

According to the vertical angles rule, x - 17 = 180 - (7x + 5) or x - 17 = 180 - 7x -5 and when we solve for x we get x = 24

Use the slope-intercept form [tex]y = mx + b[/tex] to find the slope m and y-intercept b.

Slope: [tex] \frac{2}{3} \\ [/tex]

y-intercept: [tex](0, - \frac{8}{3} ) \\ [/tex]

Answer:

see below

Step-by-step explanation:

Ax+By=C the slope is -A/B. in this case A=2 and B=3 so the slope of -2/3

Answer:

5,610 people

Step-by-step explanation:

1. If one bus can carry 66 passengers you just do

85 (numbers of buses) x 66 (number of people per bus)

2. The answer is 5,610 people

Answer:

hope it helps

Step-by-step explanation:

66 passengers are carried on one bus

so multiply 66 by 85 which is the number of buses

66*85=5610

Answer:

$700

Step-by-step explanation:

  First, multiply 5,000 times 7:

  5,000 × 7 = 35,000

  Since 7% is 0.07, move the decimal place in 35,000 two times:

  35,000.

Answer:

6,564

2,184

60

−2,184

Step-by-step explanation:

Answer:

you are finding the part

Step-by-step explanation:

definitely not whole

not percent because it is already given as a percent

Answer:

4.9 = 490%

15.27% = .1527

Step-by-step explanation:

1. To convert a decimal into a percentage, you multiply the decimal by 100.

2. (Solving)

4.9:

15.27%:

Therefore, the answers are 490% and .1527.

Answer: 490% and .1527

Step-by-step explanation:

Decimal to percentage: move decimal place 2 spaces to the left

Percentage to decimal: move decimal 2 space to the right

Answer:

hope it helps

Step-by-step explanation:

angle < EDG = 90°

5x + 4x = 90

9x = 90

x = 90/9

x = 10°

which means

5x = 50°

4x = 40°

---------------------------

sice EF and DG are parallel lines

EHD = 40°

DHG is 90°

then HGD = 50°

-----------------------------------------

ED = 64 x2 (2 sides) = 128 inches

DG = 84 x2 (2 sides) = 168 inches

total perimeter = 128 + 168 = 296 inches

and yes. theres enough room for all 3 to cuddle

Answer:

Let A be the amount of 45 cents/lb pasta.  

45A+70X(12)=55X(A+12

10A=180

A=18lbs

Step-by-step explanation:

Answer:

1 subtracted from the variable w.

:)

Step-by-step explanation:

make me brainlest, I'll answer that

Answer:

12

Step-by-step explanation:

36/12 is 3

60/12 is 5

84/12 is 7

and 3, 5, and 7 cannot be factored anymore thus 12 is the answer

Hope this helps!

Answer:

1

Step-by-step explanation:

Answer:

"1/2y+3.2y=20" One solution

"15/2+2z-1/4=4z+29/4-2z" Infinitely many solutions

"3z+2.5=3.2+3z" No solution

"1.1+3.4x+2=3.1+3/4x" infinitely many solutions

"4.5r=3.2+4.5r" No solution

"2x+4=3x+1/2" one solution

To determine the number of solutions for each equation in the given image, we need to analyze each equation separately. Let's go through each equation and identify whether it has one solution, infinitely many solutions, or no solution.

Equation 1: 3x - 2y = 6 Equation 2: 6x - 4y = 12 Equation 3: 2x - y = 3

To find the solutions, we can use the method of substitution or elimination.

First, let's consider Equation 1: 3x - 2y = 6

If we rearrange this equation to solve for y, we get: y = (3x - 6) / 2

Now, let's examine Equation 2: 6x - 4y = 12

If we rearrange this equation to solve for y, we get: y = (6x - 12) / 4 y = (3x - 6) / 2

Comparing the two equations for y, we can see that they are the same. This means that Equation 1 and Equation 2 represent the same line.

In other words, they have infinitely many solutions.

Any point on the line formed by these equations satisfies both equations simultaneously.

Moving on to Equation 3: 2x - y = 3 If we rearrange this equation to solve for y, we get: y = 2x - 3

This equation represents a line with a specific slope and y-intercept. Since it is different from the line represented by Equation 1 and Equation 2, we can conclude that Equation 3 has one solution.

This means that there is a unique point of intersection between Equation 3 and the other two equations.

In summary: - Equation 1 and Equation 2 have infinitely many solutions since they represent the same line.

- Equation 3 has one solution since it intersects the other two equations at a unique point.

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Answer:

DE is 4 units long.

Step-by-step explanation:

These are the 30-60-90 triangle side relationships:

We are given the long leg and need to find the short leg. As seen above, the relation ship between those sides is:

[tex]S*\sqrt{3}=L[/tex]

or:

[tex]L \div \sqrt3 =S[/tex]

Given the long leg, divide it by √3 to find the short leg.

[tex]4\sqrt3 \div \sqrt3 = 4[/tex]

The short leg is 4 units long.