- 2x + 4y = 17
3x - 10y = -3

A parallelogram is a figure which has its opposite sides to be equal and parallel. The missing reason in the proof is:

B. Substitution Angle Angle Postulate.

A parallelogram is a type of quadrilateral that has its opposite sides to be equal and parallel. The sum of its internal angles is [tex]360^{o}[/tex].

To prove that ∠ BAD ≅ ∠ DCB, we have:

Given parallelogram ABCD;

<BAC ≅ <ACD (alternate angle theorem)

<DAC ≅ <ACB (alternate angle theorem)

<BAC + <DAC = <BAD

Also,

<BCA + <DCA = <BCD

Therefore,

<BAD ≅ <DCB (Substitution Angle Angle Postulate)

Thus, the missing reason in the partial proof is:

option B. Substitution Angle Angle Postulate

A sketch is attached to this question for more clarifications.

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Answer:

7 ice cream machines can make 1,120 gallons of ice cream

Step-by-step explanation:

Divide 320 by 2

multiply 160 by 7

you should get 1,120

7 ice-cream machines makes 1120 gallons of ice-cream.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, two ice cream machines make a total of 320 gallons in a certain amount of time.

Here, quantity of ice cream made by 1 machine =320/2

= 160 gallons

Now, 7 ice-cream machines makes

160×7= 1120 gallons

Therefore, 7 ice-cream machines makes 1120 gallons of ice-cream.

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Answer:

1 roll of toilet paper would cost $50

Step-by-step explanation:

Answer:

lower left

Step-by-step explanation:

v+3<=6.5

v<=3.5

-18 is less than 3.5

Step-by-step explanation:

It can't be the first one because [tex]v=-18[/tex] and were saying [tex]-v[/tex] and to negatives make a positive so our equation is

[tex]18+3[/tex] ≤[tex]-6.5[/tex] which is incorrect

The one below the first one is incorrect

It's correct since our equation is

[tex]-18+3\leq 6.5[/tex] which is correct

The top right one is correct because our equation is

[tex]18+3\leq 6.5[/tex] which is incorrect

The one below that is correct because our equation is

[tex]-18+3\geq 6.5[/tex] which is incorrect

Answer:

$60

Step-by-step explanation:

4/100= 0.04

$1500 x 0.04 = 60

Answer:

1/7

Step-by-step explanation:

Consider the line passing through these two points.  The increase in x (run) from the first to the second is 14; the increase in y (rise) is 2.

Thus the slope of this line is m = rise/run = 2/14, or m = 1/7

Answer:

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

Step-by-step explanation:

To find the slope using two given sets of coordinates, the following function can be used:

[tex]m = \frac{y2-y1}{x2 - x1}[/tex]

Where x1,y1 are one set of coordinates and x2,y2 are the other set:

[tex]m = \frac{0 - (-2)}{-5 - (-9)}\\[/tex]

[tex]m = \frac{0 + 2}{-5 + 9}[/tex]

[tex]m = \frac{2}{4}[/tex]

This can be simplified down to:

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

Hope this helps!

The total volume of both storage is 76 ft³

The number of cubic units that a cube totally occupies is determined by its volume. The cubic unit of measurement for the volume of a cube includes centimetres³, metres³, inches,³ feet³, etc.

A solid three-dimensional shape with six square faces or sides is known as a cube. The total amount of space a cube takes up is its volume. The cube's square form means that all of its sides are square, and as a result, all of its edges will be of equal length. As a result, the cube's length, breadth, and height are all equal.

The formula to compute the volume of cube is a³; where 'a' is the edge of the cube.

Given:

Larger box volume = s³

smaller box volume = 12 ft³

Now, the edge of larger box = 4

So, volume of larger box

= 4 x 4 x 4

= 64 ft³

Hence, the total volume is = 64 +12 = 76 ft³

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Answer:

Parallel

Step-by-step explanation:

So if they have the same slope but different y-intercepts, it would be parallel because the slope stays the same so the line doesnt change, just the starting point

For example use the following equations

y = x + 2  

y = x + 3  

In the graph, these equations are parallel

Answer:

4u

Step-by-step explanation:

add up all the sides: u+u+u+u=4u

Answer:

(7,-10)

Very educated guess

The simplified form of the expression 7 ²/₅ = (2/3) x - 4 ¹/₂ for the value of x is 357/20 or 17.85.

An algebraic expression is consists of variables, numbers with various mathematical operations,

The given expression is,

7 ²/₅ = (2/3) x - 4 ¹/₂

Simplify the expression,

37/5 = (2/3)x - 9/2

37/5 + 9/2 = (2/3)x

(74 + 45) / 10 = (2/3)x

119 / 10 = (2/3)x

357/20 = x

x = 357 / 20

x = 17.85

The simplest form for the value of x, of the given expression, is 357 / 20.

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Answer:

12

Step-by-step explanation:

short way 6✓2 . ✓2 it is the 45 degree formula

Answer:

12

Step-by-step explanation:

The figure is an equilateral righ triangle - or if you prefer, it's half a square.

As a triangle: x is the ipotenuse, pythagorean theorem

[tex]x^2 = (6\sqrt2)^2 + (6\sqrt2)^2\\x^2 = 72+72 = 144 \rightarrow x = 12[/tex]

As half a square: diagonal is [tex]\sqrt2[/tex] times the side

x= [tex](\sqrt2) (6\sqrt2) = 2\times6 = 12[/tex]

Answer:

24 is 40% of 60

Step-by-step explanation:

Answer:

1/5

Step-by-step explanation:

rise = 2 ft

run = 10 ft

slope = rise/run = 2/10 = 1/5

Answer: 1/5

Answer:

1/5

Step-by-step explanation:

The slope is the rise over the run

Y / x

2/10

1/5

Answer:

1. option C, i.e., symmetric property.

2. option B, i.e., Integer

3. option D, i.e., zero product property

Step-by-step explanation:

Symmetric property: According to this property it a=b the b=a.

By symmetric property, we can say that, if y=7 then 7=y.

Therefore, the correct option is C, i.e., symmetric property.

Closure property: According to this property, if a∈S and b∈S, then a*b∈S.

Subtraction of natural numbers is not always natural.

Subtraction of integers is always integer.

Subtraction of irrational number is not always irrational number.

Subtraction of odd number is always even.

Therefore, the correct option is B, i.e., Integer.

Given statement is (a-b)*0=0.

According to zero product property if ab=0, then a=0 or b=0.

So, the given statement is true by zero product property.

Therefore, the correct option is D, i.e., zero product property.

Answer:

the slope is -5x

Step-by-step explanation:

y=mx+b

m= slope

b= y-int

x= vairable

y= answer

Answer:

y=-2x+9

Step-by-step explanation:

You can eliminate one by one. Since it needs to go downward, it is negative, so B and C are eliminated. y=-5x+11 will have a completely different course, so it is y=-2x+9

Answer:its a because its a

Step-by-step explanation:

Answer:

it is the letter a

Step-by-step explanation:

Answer:

f>36

Step-by-step explanation:

9

<

f

4

Multiply both sides by

4

.

9

⋅

4

<

f

4

⋅

4

Simplify.

Tap for more steps...

36

<

f

Rewrite so

f

is on the left side of the inequality.

f

>

36

The result can be shown in multiple forms.

Inequality Form:

f

>

36

Interval Notation:

(

36

,

∞

)

Answer:

f={∞,13)

Step-by-step explanation:

f - 4 ≤ 9

f - 4-9  ≤ 0

f-13 ≤0

f=13

13- 4 ≤ 9

(f>13) f-4 ≤9

   Find a number less than 13

f=12

12-4 ≤9

(f<13) f-4 ≤9

   Find a number greater than 13

14

14-4 ≤9

Answer:

Last option: Angles 5 and 9

Step-by-step explanation:

Angles 3 and 5 are NOT corresponding angles; instead they are alternate angles.

Angles 1 and 7 are NOT corresponding angles; instead they are vertically opposite angles.

Angles 11 and 14 are NOT corresponding angles; instead they are adjacent angles on a straight line.

Angles 5 and 9 are corresponding angles.

Answer:

1) 44.83 feet 2) 2352.3

Step-by-step explanation:

The careers or hobbies of my family members can help me earn scholarship awards as some employers and associations offer scholarships to participants and family members.

That is, certain hobbies, skills or careers that members of my family have may involve them in certain jobs or groups that, in turn, offer the possibility of accessing scholarships and other benefits.

Thus, social and labor groups always tend to expand the opportunities of those who participate in them, as well as those of their closest people.

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The perimeter of the hexagon is the sum of its side lengths

The perimeter of the hexagon is 48.5 ft

The given parameters are:

[tex]\mathbf{Area = 169.74}[/tex] --- the area of the hexagon

[tex]\mathbf{a = 7}[/tex] -- the apothem

Let the perimeter of the hexagon be p.

So, the area is calculated as:

[tex]\mathbf{Area = \frac 12 pa}[/tex]

Substitute values for Area and (a)

[tex]\mathbf{169.74 = \frac 12 \times p \times 7}[/tex]

Multiply both sides by 2

[tex]\mathbf{339.48= p \times 7}[/tex]

Divide both sides by 7

[tex]\mathbf{48.5= p }[/tex]

Rewrite as:

[tex]\mathbf{p = 48.5}[/tex]

Hence, the perimeter of the hexagon is 48.5 ft

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Answer:

79507

Step-by-step explanation:

because 64000(1+15/200)^3= 79507

Answer:5 10 15 and so on

Step-by-step explanation:it is numbers that are in the 55 times table

Answer:

Factors of 55: 1, 5, 11 and 55.

Prime Factorization of 55: 55 = 11 × 5.

0.13888888888 is tour answer

Answer: 32.61

Step-by-step explanation:

92/100 × x = 30

x = 30 × 100/92

x = 32.61