Triangles RST and XYZ are shown at right. Emma knows
ZTELZ. She claims that triangles RST and XYZ are congruent. As part of her
reasoning, which theorem could she use? Select two that apply.

Answer:

m = 3

Step-by-step explanation:

Use the slope formula to find the slope  m .

Answer:

3

Step-by-step explanation:

hope this helps!

Answer:

Your age is 97 years old.

Step-by-step explanation:

Let x be age.

500 - 4x = 112

-4x = -388

x = 97

Answer: For the first one wouldnt it be like:

ht=10(r)+5

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

3.25+.3=3.55

                                           [tex]\huge\boxed{B,\;3.55}[/tex]

___________________________________________________________

                                            [tex]\boxed{Explanation}[/tex]

So, we have the following equation...

[tex]3.25+3/10=(?)[/tex]

Lets turn the fraction into a decimal.

Here's how...

Therefore, [tex]3/10=0.3[/tex].

Next, lets add our new decimal with 3.25.

[tex]3.25+0.3=3.55[/tex]

This gives us our final answer... [tex]3.55[/tex].

___________________________________________________________

Hope it helps!

May i have brainliest?

[tex]\huge\boxed{Thanks,\;Plip.}[/tex]

Answer:

its c (4,1)

Step-by-step explanation:

The required point for the given line is (0, -3). The correct option is (D).

A linear equation in two variable has the general form as y = ax + by + c, where a, b and c are integers and a, b ≠ 0.

It can be represented as a straight line on a graph.

The equation of the given line is y = 2x - 3.

In order to find the point lying on it, consider each of the options one by one as follows,

(a) (2 , 3)

Substitute x = 2 and y = 3 in the given equation to obtain LHS and RHS as,

LHS = y

       = 7

RHS = 2x - 3

       = 2 × 2 - 3

       = 1

Since, LHS ≠ RHS, the given point is not the solution.

(b) (-2, -1)

Substitute x = 2 and y = 3 in the given equation to obtain LHS and RHS as,

LHS = y

       = 7

RHS = 2x - 3

       = 2 × -1 - 3

       = -6

Since, LHS ≠ RHS, the given point is not the solution.

(c) (4, 1)

Substitute x = 2 and y = 3 in the given equation to obtain LHS and RHS as,

LHS = y

       = 4

RHS = 2x - 3

       = 2 × 1 - 3

       = -1

Since, LHS ≠ RHS, the given point is not the solution.

(d) (0, -3)

Substitute x = 2 and y = 3 in the given equation to obtain LHS and RHS as,

LHS = y

       = -3

RHS = 2x - 3

       = 2 × 0 - 3

       = -3

Since, LHS = RHS, the given point is the solution.

Hence, the point (0, -3) is the solution of the given equation.

To know more about linear equation click on,

https://brainly.com/question/11897796

#SPJ2

Answer:

Step-by-step explanation:

1/5(x-6/5)=-51/25

1/5x-6/25=51/25

5/25x=57/25

5x=57

x=11.4

Answer:

Rectangle but not a square

Step-by-step explanation:

Let's start by determining if it's a parallelogram.

The slope of side DE is undefined.

The slope of side EF is 0.

The slope of side FG is undefined.

The slope of side DG is 0.

Thia means we have 2 pairs of opposite parallel sides, meaning DEFG is a rhombus.

Now, let's determine if it's a rectangle. Since the slope of

side DE is undefined and the slope of side EF is 0, sides DE and EF are perpendicular. This means that angle DEF is a right angle, and thus DEFG is a rectangle.

To determine if DEFG is a rhombus, we can find the lengths of adjacent sides DE and EF.

The length of DE is 5.

The length of EF is 3.

Since the pair of consecutive sides (sides DE and EF) aren't congruent, DEFG is not a rhombus.

Since DEFG is not a rhombus, it also cannot be a square.

This means DEFG is a rectangle, but not a square.

Answer:

  702 ft²

Step-by-step explanation:

The total surface area of the prism is the sum of the areas of its 7 faces.

lateral area

The width of each rectangular face is 8 ft. The total length of all of the rectangular faces is equal to the perimeter of the base:

  7 ft +5 ft +3 ft +5 ft + 2 ft = 22 ft

So, the rectangular area is ...

  A = LW = (8 ft)(22 ft) = 176 ft²

__

base area

The area of each base is equivalent to the area of a 5 ft×7 ft rectangle with a 3 ft×4 ft right triangle cut off one corner. The base area will be ...

  A = LW -1/2bh

  A = (5 ft)(7 ft) - 1/2(3 ft)(4 ft) = 29 ft²

__

area of one

So the total surface area of one structure is ...

  lateral area + 2×(area of one base)

  = 176 ft² +2(29 ft²) = 234 ft²

__

If 3 pieces are needed, the total amount of sheet metal needed for their construction is ...

  (234 ft²) × 3 = 702 ft² . . . . needed to build all 3 pieces

Answer:

the answer is 702 I took the test

Answer:

She gained 13,800 pounds

1 ton = 2,000 pounds

2,000 × 7 = 14,000

14,000 - 200 = 13,800

Answer:

7+1-8+2(2)+4(1)

= -1+4+4

=7

Answer:

8

Step-by-step explanation:

Given:

g = 1, h = 2

7 + g − 8 + 2h + 4g

Solve:

Since g = 1 and h =2

Substitute

7+(1)-8+2(2)+4(1)

= 7+(1)-8+4+4(1)

= 7 + (1)-8+4+4

=  8 -8 + 4 + 4

= 4 + 4

=8

Hence, Answer = 8

~lenvy~

Answer:

what is it

Step-by-step explanation:

The perimeter is represented by the inequality 2x + 2(2x - 20) > 70. Then the correct option is B.

Let W be the rectangle's width and L its length. The perimeter of the rectangle will be defined as the total length of all of its sides. So the rectangle's perimeter will be

Perimeter of the rectangle = 2(L + W) units

The width of a rectangular flower shop is 20 feet less than twice the length.

W = 2L - 20

The perimeter is more than 70 feet. Then the inequality is given as,

P < 2(L + W)

70 < 2(L + 2L - 20)

70 < 2L + 2(2L - 20)

Replace L with x, then we have

2x + 2(2x - 20) > 70

The perimeter is represented by the inequality 2x + 2(2x - 20) > 70. Then the correct option is B.

More about the perimeter of the rectangle link is given below.

https://brainly.com/question/15287805

#SPJ2

Answer:

{x,y,z,w}={-1,0,6,3}

Answer:

Sydney is 76.

Step-by-step explanation:

Why?

88 - 12 = 76

If Devaughn is 12 years older and the sum of their ages is 88, Sydney is 76. When you add 12 to 76, you get 88. 88 is the sum of their ages.

Answer:

The missing side is 5 sq units.

Count each square unit without a grid.

The picture should prove this true that I edited.

Karla spent $1500 to make the shirt and will lose $150 if she sells only 90 t-shirts.

An inequality is an expression that shows the non equal comparison of two or more numbers and variables.

Let t represent the number of t-shirts she needs to sell in order to make a profit. Since:

t > 100 and the price is $15 per shirt, hence:

Money spent = $15 * 100 = $1500

Money lost in sell 90 shirts = (100 - 90) * 15 = $150

Karla spent $1500 to make the shirt and will lose $150 if she sells only 90 t-shirts.

Find out more on inequality at: https://brainly.com/question/24372553

Answer:

length = 37

Step-by-step explanation:

w= x

l= 3x + 1

to get the perimeter you need to add all sides.

x + x + 3x + 3x + 1 + 1 = 98

8x + 2 = 98

8x = 96

x = 12

To get the length plug in the value of the x to 3x + 1.

length = 3(12) +1

length = 37

Answer:

3(x-2)

Step-by-step explanation:

Factor 2x(2)−x−6

=> 3x−6

=>3(x−2)

Answer:

=> 3(x−2)

Answer:

I believe there are 21 ducks and 14 pigs in the field

Step-by-step explanation

x+y=35

2x+4y=98

2x+2y=70

2x+4y=98

-2y=-28

y=14

x+14=35

x=35-14

x=21

21=ducks

14=pigs

x/3 + 8 = -2

Because x is in a fraction, the most efficient way to solve is to remove the 8 first.

The first step should be to subtract 8 from both sides:

x/3 = -10

Then you would multiply both sides by 3:

x = -30

Blair was correct but Arianna is correct too.

Let's see why :

_________________________________ We're gonna solve it from Blair's method .

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

Multiply sides by 3

[tex]x + 24 = - 6[/tex]

Subtract sides minus 24

[tex]x = - 6 - 24[/tex]

[tex]x = - 30[/tex]

_________________________________

The faster way is :

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

Subtract sides minus 8

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

[tex] \frac{x}{3} = - 10 \\ [/tex]

Multiply sides by 3

[tex]x = - 30[/tex]

It is very easier to calculate -2-8 than -24-6 and also it is very easier to multiply -10 by 3 than multiply 8 by 3 and multiply -2 by 3 and then calculate.

So Arianna is correct.

I think this is the correct answer.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Answer:

2x + 10 = 3x + 16

2x - 3x = 16 - 10

x = 6

Answer:

[tex]x=-8[/tex]

Step-by-step explanation:

Given the following question:

[tex]2(x+5)=3(x+6)[/tex]

To find the answer we need to expand the equation by using the distribution property, use inverse operations by subtracting or adding on both sides, and of course simplify if needed.

[tex]2(x+5)=3(x+6)[/tex]
[tex]2(x+5)=2x+10[/tex]
[tex]3(x+6)=3x+18[/tex]
[tex]2x+10=3x+18[/tex]
[tex]10-10=0[/tex]
[tex]18-10=8[/tex]
[tex]2x=3x+8[/tex]
[tex]3x-3x=0[/tex]
[tex]2x-3x=-x[/tex]
[tex]-x=8[/tex]
[tex]-x\div-x=x[/tex]
[tex]8\div-1=-8[/tex]
[tex]x=-8[/tex]

Your answer is "x = -8."

Hope this helps.

Answer:

[tex]y=-\frac{1}{6}x-1[/tex]

Step-by-step explanation:

In order to solve this problem we can start by finding the slope of the perpendicular equation. We can do this by finding the slope of the equation that passes through the two points provided by the problem.

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

so we input the two points (5,-8) and (7,4) to get:

[tex]m=\frac{4-(-8)}{7-5}[/tex]

so  

m=6

next, we find the negative reciprocal to get the slope of the perpendicular line, so we get:

[tex]m=-\frac{1}{6}[/tex]

Now we need to find one point that the line passes through.

we can find that point by using the midpoint formula:

[tex]x=\frac{x_{2}+x_{1}}{2}[/tex]

[tex]y=\frac{y_{2}+y_{1}}{2}[/tex]

so we get:

[tex]x=\frac{7+5}{2}=6[/tex]

[tex]y=\frac{4-8}{2}=-2[/tex]

So the point is (6,-2)

So now we can find the equation of the line by using the point-slope form of the linear equation:

[tex]y-y_{1}=m(x-x_{1})[/tex]

and substitute the point and the slope into the equation:

[tex]y-(-2)=-\frac{1}{6}(x-6)[/tex]

and solve for y:

[tex]y=-\frac{1}{6}x+1-2[/tex]

[tex]y=-\frac{1}{6}x-1[/tex]

which will be our answer.

Answer:

7.28 ounces + 8.06 ounces = 15.34 ounces combined

15.34 ounces - 1.58 ounces left over = 13.76 ounces

divide 13.76 ounces by 4 people = 3.44 ounces per bowl

Answer:

[tex]\large\boxed{\sf f(x) = x^2-6x+9}[/tex]

Step-by-step explanation:

We are here given a graph of a equation and we are interested in finding the equation .

From the given graph we can see that it cuts the x axis at point (3,0) . This graph represents a quadratic function and its two zeroes are 3,3 . We can write the equation using the two zeroes .

Say if the zeroes of the quadratic equation are p and q , then the quadratic equation can be written as ,

[tex]\longrightarrow (x-p)(x-q)=0 [/tex]

And the quadratic function can be written as ,

[tex]\longrightarrow f(x)= k[ (x-p)(x-q)][/tex]

where k is a constant .In this case k = 1 . So we can write the function as ,

[tex]\longrightarrow f(x) = (x-3)(x-3)[/tex]

Distribute ,

[tex]\longrightarrow f(x)= x (x-3)-3(x-3)[/tex]

Simplify by opening the brackets,

[tex]\longrightarrow f(x) = x^2-3x -3x +9 [/tex]

Add like terms,

[tex]\longrightarrow \underline{\underline{f(x) = x^2-6x+9}}[/tex]

And we are done!

Answer:

There are two possible answers to this question. if the demoninator has the three on the outside of the square root your answer is 2/3. If your demoninator has the three inside the square root your answer is [tex]\frac{2\sqrt{3} }{3}[/tex] or 1.15. Let me know if this helps!

Answer:

9/20

Step-by-step explanation:

LCM of 5, 20, and 10 = 20

4/5

= 4/5 x 4/4

= ( 4 x 4 )/( 5 x 4 )

= 16/20

2/10

= ( 2/10 ) x ( 2/2 )

= ( 2 x 2 )/( 10 x 2 )

= 4/20

4/5 - 3/20 - 2/10

= 16/20 - 3/20 - 4/20

= ( 16 - 3 - 4 )/20

= ( 16 - 7 )/20

= 9/20

Answer:

9/20

Step-by-step explanation:

First, you need to find common denominators between all of the fractions.

All of these denominators can be multiplied by a whole number to equal 20.

For 4/5, multiply both the numerator and the denominator by 4 to get 16/20

Leave 3/20 alone

For 2/10, multiply both the numerator and the denominator by 2 to get 4/20

Now you have 16/20 - 3/20 - 4/20

= 9/20

Answer:

x = 7

Step-by-step explanation:

7x + 5 - x + 6 = 53 , that is

6x + 11 = 53 ( subtract 11 from both sides )

6x = 42 ( divide both sides by 6 )

x = 7