Given: TU II XW
Prove: XW=8

Statements Reasons
TWIIXW Given
UTV=XYV alternate angles theorem
TVU= vertical angles theorem
TVU~WVX AA
? ?
XW\14=4/7substitution property of equality
7(XW)=56 cross product
XW=8 division property of equality
Which step is missing?
A.
Statement: WX/UT=UZ/VW Reason: Corresponding sides of similar triangles are proportional.
B.
Statement :XW/UT=VW/XV Reason: Corresponding sides of similar triangles are proportional.
C.
Statement: XW/UT=VW/XV Reason: Corresponding sides of similar triangles are proportional.
D.
Statement: XW/UT=UV/XV Reason: Corresponding sides of similar triangles are proportional.

Four pounds of jelly beans: $6.82

First, calculate the cost of 1 lb by dividing the price by the number of pounds:

6.82 / 4 = $1.705 per pound

Now, multiply by 2:

1.705 x 2 = $3.41

The graph of the new function compares with the first one by A it would be shifted down

A graph is a pictorial representation of a function.

A function is a mathematical expression that shows the relationship between two variables.

Since we are given the functions y = x + 2 and If y = x + 2 we’re changed to y = x - 1. We want to determine how the graph of the new function would change compared with the first one.

We proceed with the transformation as follows.

Let

So, we can see that

y₂ = x - 1

= x - 1 + 2 - 2

= x + 2 - 1 - 2

= x + 2 - 3

= y₁ - 3

Since y₂ = y₁ - 3, we see that the second graph is shifted down by 3 units from the first one.

So, the graph compares with the first one by A it would be shifted down

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The area of the rectangle will be 2,348.3824 cm² as "A rectangle has a length of 26 inches and a width of 14 inches and 1 inch=2.54 cm".

The measurement that expresses the size of a region on a plane or curved surface is called area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a shape or planar lamina. Area is the total amount of space occupied by a flat (2-D) surface or an object's shape. On a piece of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies. Consider your square as being composed of smaller unit squares.

Here,

Length in inches=26

Width in inches=14

area in inches=26*14

=364 inch²

Now,

1 inch=2.54 cm

area in cm,

=364*2.54*2.54

=2,348.3824 cm²

Since "a rectangle has a length of 26 inches and a width of 14 inches and 1 inch=2.54 cm," the area of the rectangle will be 2,348.3824 cm².

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Since QP and QB are equal the triangle PQB the angles:

The last angle can be found by adding all the internal angles and making it equal to 180 degrees.

The angle BQP and the angle AQP are suplementary, this means that their sum is equal to 180 degrees. So we have:

Since the sides AP and PQ are equal, then the angle PAQ is equal to AQP.

To find the last angle on that triangle we can add all the internal angles and make it to 180 degrees.

The angle APC is suplementary with the sum of the angles APQ and BPQ. So we have:

The sides AP and AC are equal, therefore the angles APC and ACP are also equal.

Then we can find the last angle on that triangle.

The angle CAB is equal to the sum of CAP and PAQ. So we have:

Since the sides AB and BC are equal, then the angles ACB and CAB must also be equal. We can find the value of x with this.

The value of x is 180/7

to solve this, you need to isolate x,

Step 1

square root in both sides

so, there are two values for h that fit this equation

so, the answers are A and B

The degree of polynomial is 3.

Given polynomial:

⇒ -1/4(abc)+2[tex]b^{2}[/tex]

⇒ -abc/4 + 2[tex]b^{2}[/tex]

the polynomial has two terms,

terms = -1/4(abc), 2[tex]b^{2}[/tex].

Degree of first term is =(-1/4) [tex]a^{1} b^{1} c^{1}[/tex] = 1+1+1 =3

= 3.

Degree of second term = [tex]2b^{2}[/tex] = 2.

Here degree can be determined as highest degree which is equal to 3.

Hence the degree of polynomial is 3.

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Answer/Step-by-step explanation:

 h - 4

---------- = k

    j

 h - 4

---------- = k( j )

    j( j )

h - 4 = jk

÷k        ÷k

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

h - 4                     h       4

------- = j  or   j =  ----  -  ----

  k                        k       k

I hope this helps!

We want to solve the following equation for x:

First, let's expand the parenthesis on the right side of the equation using the distributive property

To add the terms with x, we just need to add their coefficients.

Subtracting 5x from both sides of the equation:

Now, if we subtract 7 from both sides, we have

Since this is a first degree polynomial, it has only one solution and this solution is x = - 13.

Given,

Time taken by motorboat to going 200 miles upstream is 5 hours.

Time taken by motorboat to going 200 miles downstream is 4 hours.

At upstream,

The speed of boat is offosed by the speed of current.

At downstream,

The speed of boat is incraesed by the speed of current.

Consider,

The speed of boat is b.

The speed of current is c.

The speed is calculated as,

Similarly,

Substituting the value of b from equation (2) then,

Substituting the value of c in equation (1) then,

Hence, the speed of boat is 45 mile per hour and speed of current is 5 mile per hour.

The y-intercept of the given equation is (B) -2.

So, the y-intercept will be:

Plot the equation on the graph as follows:

Therefore, the y-intercept of the given equation is (B) -2.

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Isolating the variable y in the second equation, we have:

Now, using this value of y in the first equation, we have:

The solution of the system is x = -8 and y = 1.

The equation of a line in slope - intercept form of a line includes the points (0, 3) and (1, 7)is y - 4x - 3 = 0.

A line includes the points (0, 3) and (1, 7).

We need to write its  equation in slope-intercept form

The formula is

y - y₁ = ((y₂ - y₁)/(x₂ - x₁)) (x - x₁)

y - 3 = ((7 - 3)/1 - 0) (x - 0)

y - 3 = (4) x

y - 3 = 4x

y - 4x - 3 = 0

Therefore, the equation of a line in slope - intercept form of a line includes the points (0, 3) and (1, 7)is y - 4x - 3 = 0.

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Answer:

I think the answer is D. sorry if I'm wrong

we have

the solution is the interval {2, infinite)

In a number line the solution is the shaded area at right of a=2 (close circle)

therefore

the answer is

First option

We can put the 5-sided face downwards so that we have a pentagon-prism.

The volume of the figure will be area of base (area of pentagon) x height.

This way, the height of the figure will be 8 cm and we will find the area of the pentagon, below.

Let's find the area of the base first:

The pentagonal base can be broken down into a square (top left), a triangle (top right), and a rectangle (bottom). We find each of the areas.

• Area of Square

Side lengths are 3 cm, so the area will be:

Area = 3 x 3 = 9

• Area of Triangle

Base is 3 cm and height is 4 cm, so the area will be:

Area = (1/2) * base * height

Area = (1/2) * 3 * 4 = 6

• Area of Rectangle

Base is 7 cm and height is 2 cm, so the area will be:

Area = 7 x 2 = 14

Total Area of Pentagon = 9 + 6 + 14 = 29

Now, the Volume of the Composite Figure is:

Volume = Area of Pentagonal Base * Height

Volume = 29 * 8

Volume = 232 cubic centimeters

Volume = 232 cubic centimeters

The value of UR = 13 mm

Given:

HGJI ≅ RSTU

proportional sides:

HG = JI

GJ = ST

JI = TU

IH = UR

From the figure:

IH = 13 mm

so IH = UR = 13

UR = 13 mm.

Therefore the value of UR = 13 mm.

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The equation will be 15+x=60 as the definition of equation says, "A mathematical statement known as an equation is made up of two expressions joined together by the equal sign(=)".

A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. In mathematics, an equation is an expression or a statement that consists of two algebraic expressions that have the same value and are separated from one another by the equal symbol. It is an otherwise stated statement that has been mathematically quantified. Expressions that add up to one another make up an equation. A formula is an equation with two or more variables that shows how the variables relate to one another. A line with the equation y=mx+b, where m denotes the slope and b the y-intercept, is an example of a linear equation.

Here,

Suppose you want to buy something for $60, and you have $15 saved up so far. Then your grandmother calls and says she will chip in for your purchase. She doesn’t tell you the amount of money she will give you yet, so you just consider it x dollars.

The sum of your saving and grandmother's amount  is $60.

15+x=60

According to the definition of equation, "A mathematical statement known as an equation is composed of two expressions joined together by the equal sign (=)," the equation will be 15+x=60.

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Find the absolute value in the difference of the coordinates.

Answer:

9b - 14

Step-by-step explanation:

4(b + 4) + 5(b-6)

==> expand by distributing

4b + 16 + 5b - 30

==> simplify by combing like terms

9b - 14

Recall that:

Answer:

9b - 14

Step-by-step explanation:

Given expression,

→ 4(b + 4) + 5(b - 6)

Let's simplify the expression,

→ 4(b + 4) + 5(b - 6)

→ 4b + 16 + 5b - 30

→ (4b + 5b) + (16 - 30)

→ 9b + (-14)

→ 9b - 14

Hence, the answer is 9b - 14.

Option C and Option D has infinite number of solutions

Option A: -2(x - 2) + 3x = x - 4

Simplify the equation;

-2x + 4 + 3x = x - 4

x + 4 = x - 4

LHS ≠ RHS

Thus, equation does not have infinite solutions.

Option B: 2x + 4(x - 1) = 3(2x + 1) - 2(x - 1)

Simplify the equation;

2x + 4x - 4 = 6x + 3 - 2x + 2

6x - 4 = 4x + 5

6x - 4x = 5 + 4

2x = 9

Obtained equation has only one solution.

Thus, equation does not have infinite solutions.

Option C: 3x + 2(x - 2) + 6 = 2(2x + 3) + x - 4

Simplify the equation;

3x + 2x - 4 + 6 = 4x + 6 + x - 4

5x + 2 = 5x + 2

LHS =RHS

Thus, this equation has infinite solutions.

Option D: 4(x + 2) + x + 1 = 2x - 3 + 3(x + 4)

Simplify the equation;

4x + 8 + x + 1 = 2x - 3 + 3x + 12

5x + 9 = 5x + 9

LHS =RHS

Thus, this equation has infinite solutions.

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The correct question is-

Which equations have an infinite number of solutions?

Select all that apply.

A -2(x - 2) + 3x = x - 4

B 2x + 4(x - 1) = 3(2x + 1) - 2(x - 1)

C 3x + 2(x - 2) + 6 = 2(2x + 3) + x - 4

D 4(x + 2) + x + 1 = 2x - 3 + 3(x + 4)

Given

Calculating,

Rounding off to ten-thousands place,

The answer is 0.995

Answer:

To what?

Step-by-step explanation:

Answer:4

Step-by-step explanation

If you have 2 fishes in an aquarium and add 2 more fishes to the aquarium you have 4 fishes! :D

Answer:

4

Step-by-step explanation:

We are going to use the formula for the slope of the line with points A(2,5) and B(-8,-4). x1= 2, x2=-8, y1=5 and y2=-4

The slope of the line is 9/10

For the given figure:

According to the statements provided, we will name the lines that are parallel to each other:

1) ∠1 ≅ ∠3; The parallel lines are (c, d)

2) ∠6 ≅ ∠9; the parallel lines are (a, b)

3) ∠6 is supplementary to ∠10; the parallel lines are (a, b)

4) ∠1 ≅ ∠11: Not enough info

5) ∠5 is supplementary to ∠8; the parallel lines are (c, d)

6) ∠3 ≅ ∠11; The parallel lines are (a, b)

7) ∠1 ≅ ∠6; Not enough info

8) ∠1 ≅ ∠14: the parallel lines are (a, b)

9) ∠15 is supplementary to ∠16; Not enough info

10) ∠13 ≅ ∠15; the parallel lines are (c, d)

The given equation of the line is

Hence slope of the line is

Since the line passing through (0,1) parallel to the given line then slope is same for both of them

Since (0,1) is a point so the intercept is c=1

So the equation is

Answer:

The expression;

represents how much more Elena spent than Taniy

Explanation:

Let the variable p to represent the price per pound of cherries.

Given that Elena buys a watermelon for $6.55 and 3 pounds of cherries.

The total cost Elena spent is;

Taniy buys a pineapple for $4.35 and 2 pounds of cherries.

The total cost Taniy spent is;

The amount Elena spent more than Taniy is;

Therefore, The expression;

represents how much more Elena spent than Taniy

All types of triangles must have a total angle of 220 degrees. Otherwise, it is not a triangle.

A triangle has three sides three corners and three vertices. The sum of all interior angles of a triangle is always 180°. This is called the sum property of the triangle angles. The sum of the lengths of any two sides of a triangle is greater than the length of the third side. A triangle is a three-sided polygon with three corners.

The three sides are joined end to end at points forming the corners of the triangle. The sum of the three angles of a triangle is 180 degrees. A true triangle is a shape with three sides and three angles. The sum of the two side lengths must be greater than the third side and the sum of the three angles must be 180°.

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