Perform the indicated operation. Express answer as a simplified fraction (You may have
improper fractions)

Step-by-step explanation:

Hey there!!!

Here, ABCD is a parallelogram.

We know that the one property of a parallelogram is:

So,

3x-10° = x+45°

or, 3x - x = 45°+10°

2x = 55°

[tex]x = \frac{55}{2} [/tex]

Therefore the measure of angle x is 27.5°.

Hope it helps....

Answer:

8x+2

Step-by-step explanation:

Answer:

[tex] \huge{ \fbox{ \sf{8x + 2}}}[/tex]

Step-by-step explanation:

[tex] \underline{ \underline{ \mathfrak{lets \: solve}}} : [/tex]

[tex] \star{ \: \sf{ \: 7x + x + 2}}[/tex]

[tex] \text{ Step \: 1} : \sf{ \: Add \: the \: like \: terms : 7x \: and \: x}[/tex]

[tex] \sf{Like \: terms \: are \: those \: which \: have \: the \: same \: base.}[/tex]

[tex] \hookrightarrow{ \sf{8x + 2}}[/tex]

Hope I helped!

Best regards!:D

~[tex] \sf{TheAnimeGirl}[/tex]

Answer:

amanda

Step-by-step explanation:

25 yards / 30 seconds = 50 yards / 1 minute

50 yards * 60 mins = 3000 yards / hour

Amanda swims 3000 yards in one hour

McKinly swims 1000 yards in one hour

Amanda can swim faster than Mckinly

Hello, one way to see it is as below

[tex]\displaystyle F(2)-F(1)=\int_1^2 F'(t) dt=\int_1^2 G'(t) dt=G(2)-G(1)[/tex]

Another way is to notice that F'(x)=G'(x) means that F(x) and G(x) are only different from a real constant that we can note a, it means that

[tex](\forall x \in \mathbb{R}) \ (F'(x)=G'(x)) => (\exists a \in \mathbb{R});(F(x)=G(x)+a)[/tex]

and then F(2)-F(1)=G(2)-G(1)

thanks

Given that:

Total cost for three CD = $36

Number of CD = 3

To find:

The expression that will represent the cost of one CD.

Solution:

We know that formula, to find the cost of each unit.

[tex]\text{Cost of each unit }=\dfrac{\text{Total cost}}{\text{Number of units}}[/tex]

Using this formula, we get

[tex]\text{Cost of each CD}=\dfrac{\text{Total cost for three CD}}{\text{Number of CDs}}[/tex]

[tex]\text{Cost of each CD}=\dfrac{36}{3}[/tex]

The required expression for cost of one CD is [tex]\dfrac{36}{3}[/tex].

Therefore, the correct option is C.

Answer

its 36/3

Step-by-step explanation:

Given that:

The company uses its cargo vans to deliver packages to locations at a 75-mile radius  from the warehouse.

If delivery location is within 8 miles of the delivery boundary, a cargo van will still be used.

To find: The inequality to represent the instances when a vehicle other than a cargo van is used.

Solution:

Let x is the distance of a location from the warehouse.

Cargo van will be used if delivery location is within 8 miles of the delivery boundary.

Minimum distance for delivery = 75-8 = 67 miles.

Maximum distance for delivery = 75+8 = 83 miles.

So, the company  uses cargo vans for any distance in the range 67 miles to 83 miles. So,

[tex]67\leq x\leq 83[/tex]

Therefore, the required inequality is [tex]67\leq x\leq 83[/tex].

Answer:

9x9x9x9x9x9

Step-by-step explanation:

Answer:

There will be lots

Step-by-step explanation:

It is actually infinite.

Answer:

C. Yes, because every x-value corresponds to exactly one y-value.

Answer:

20% profit

Step-by-step explanation:

Given:

Profit:

Profit percent:

Answer:

c.p=1450

s.p=1740

profit=s.p-c.p

=1740-1450

=290

Answer:

2 x 2 + 8 + 3 x 2 + 4x - 10

4 + 8 + 8 + 6 + 4x - 10

26 + 4x - 10

20 + 4x

The answer is 20 + 4x

The first number = x

The second number = 5 + 2x

80 = x + 5 + 2x

Let's combine like terms.

80 = 3x + 5

Subtract 5 from both sides.

75 = 3x

Divide both sides by 3

25 = x

The first number = 25

Let's plug 25 into x for our second number's equation.

The second number = 5 + 2(25) = 55

Answer:

x = first number

y = second number

1. y = 2x +5

2. x = x

3.  x + 2x + 5 = 80

4. 3x +5 = 80

5. 3x = 75  

x = 25

sub back in to steps 1 and 2:

x = 25

y = 2(25) + 5

y = 55

the first number is 25, and the second number is 55.

CHECK:

80 - 25 = 55

Step-by-step explanation:

1. define your variables

2. use the question to find what each number equals

3. set them equal to 80

4. combine like terms, divide, etc. (SOLVE)

5. sub back into defined variables.

6. check it by subtracting and adding

Answer:

The answer is x - 19.

Hope it helps

Step-by-step explanation:

Hey there!

Your required answer is option B.

Here,

Given,

The figure is an equilateral triangle with, side (7x+9) and (x+27).

By the defination of equilateral triangle we have,

All sides of equilateral triangle are equal.

So,

[tex]( 7x+ 9) = x + 27[/tex]

Simplify them to get answer.

[tex]7x - x = 27 - 9[/tex]

[tex]6x = 18[/tex]

[tex]x = \frac{18}{6} [/tex]

Therefore the value of x is 3.

Hope it helps...

The value of x in the figure is:

B) x = 3

Trigonometry deals with the relationship between the ratios of the sides of a right-angled triangle with its angles.

The signs on the three sides of the triangle indicate that all the sides of the figure are equal. Thus, we can say:

7x + 9 = x + 27

7x - x = 27 - 9

6x = 18

x = 18/6

x = 3

Therefore, the value of x is 3.

Learn more about Trigonometry on:

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Answer:

(15-7)-(8-3)

Step-by-step explanation:

1.

[tex]7+(31-4)(2)\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:within\:parentheses}\:\left(31-4\right)\::\quad 27\\\\=7+27\left(2\right)\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:27\left(2\right)\:\\:\quad 54\\\\=7+54\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:7+54\:\\:\quad 61[/tex]

2.

[tex]-212-(-3)\\\\\mathrm{Apply\:rule}\:-\left(-a\right)=a\\\\=-212+3\\\\=-209[/tex]

3.

[tex](15-7)-(8-3)\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:within\:parentheses}\:\left(15-7\right)\::\quad 8\\\\=8-\left(8-3\right)\\\\\mathrm{Calculate\:within\:parentheses}\:\left(8-3\right)\::\quad 5\\\\=8-5\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:8-5\:\\:\quad 3[/tex]

4.

[tex]-5[7+(-14)]-30\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:within\:parentheses}\:\left[7+\left(-14\right)\right]\::\quad -7\\\\=-5\left(-7\right)-30\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:-5\left(-7\right)\::\quad 35\\\\=35-30\\\\= 5[/tex]

Answer:

Angle 1 is 30° and angle 2 is 150°

Step-by-step explanation:

Let angle 1 is  a, angle 2 is b and we got b = 5a

and

Answer:

Step-by-step explanation:

Move to (6,-2) at the top then at the bottom left (3,-5), after that to on th bottom right is (5,-7)

The required translated figure of a triangle ABC is shown in the image attached.

Question asked to draw the image of ABC under translation by 3 units to the right and 4 units down.

A translation is defined as a type of conversion that takes an individual point in a figure and slides it the same distance in the same direction.

Since the translation of the figure is shifting the figure through certain specified units. because of translation, there is no cause to changes to the measure of the figure. the new figure formed will be congruent to the former figure.

As per the question, we have a triangle ABC, Let applied all the translation processes to point C. coordinate of C is (-3, 1) after translation 3 units right and 4 unit down the new coordinates are (0, -3). similarly Coordinates of A and B also changed corresponding to C.

Thus, the required translated figure of a triangle ABC is shown in the image attached.

Learn more about translation here:

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Answer:

(5,2)

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

1. Find the degree measure of the unknown angle:

90-68 = 22 degrees

2. Find the appropriate slope ratio:

22 degrees = 2/5

3. Redraw the right triangle on a coordinate plane with the right angle on the origin if you have trouble visualizing the next step.

4. 2/5 = rise/run = x/10

2/5 = x/10

x = 4

Answer:

(a)[tex]\log_3(\dfrac{81}{3})=3[/tex]

(b)[tex]\log_5(\dfrac{625}{25})=2[/tex]

(c)[tex]\log_2(\dfrac{64}{8})=3[/tex]

(d)[tex]\log_4(\dfrac{64}{16})=1[/tex]

(e)[tex]\log_6(36^4)=8[/tex]

(f)[tex]\log(100^3)=6[/tex]

Step-by-step explanation:

Let as consider the given equations are [tex]\log_3(\dfrac{81}{3})=?,\log_5(\dfrac{625}{25})=?,\log_2(\dfrac{64}{8})=?,\log_4(\dfrac{64}{16})=?,\log_6(36^4)=?,\log(100^3)=?[/tex].

(a)

[tex]\log_3(\dfrac{81}{3})=\log_3(27)[/tex]

[tex]\log_3(\dfrac{81}{3})=\log_3(3^3)[/tex]

[tex]\log_3(\dfrac{81}{3})=3[/tex]        [tex][\because \log_aa^x=x][/tex]

(b)

[tex]\log_5(\dfrac{625}{25})=\log_5(25)[/tex]

[tex]\log_5(\dfrac{625}{25})=\log_5(5^2)[/tex]

[tex]\log_5(\dfrac{625}{25})=2[/tex]        [tex][\because \log_aa^x=x][/tex]

(c)

[tex]\log_2(\dfrac{64}{8})=\log_2(8)[/tex]

[tex]\log_2(\dfrac{64}{8})=\log_2(2^3)[/tex]

[tex]\log_2(\dfrac{64}{8})=3[/tex]        [tex][\because \log_aa^x=x][/tex]

(d)

[tex]\log_4(\dfrac{64}{16})=\log_4(4)[/tex]

[tex]\log_4(\dfrac{64}{16})=1[/tex]        [tex][\because \log_aa^x=x][/tex]

(e)

[tex]\log_6(36^4)=\log_6((6^2)^4)[/tex]

[tex]\log_6(36^4)=\log_6(6^8)[/tex]

[tex]\log_6(36^4)=8[/tex]            [tex][\because \log_aa^x=x][/tex]

(f)

[tex]\log(100^3)=\log((10^2)^3)[/tex]

[tex]\log(100^3)=\log(10^6)[/tex]

[tex]\log(100^3)=6[/tex]            [tex][\because \log10^x=x][/tex]

Answer:

Step-by-step explanation:

-4y = -2x - 3

y = 1/2x + 3/4

y - 4 = 1/2(x + 1)

y - 4/2 = 1/2x + 1/2

y = 1/2x + 5/2

Answer:

18

Step-by-step explanation:

PEMDAS

I hope this helped

Answer:

what do you need help with

Step-by-step explanation:

Answer:

Step-by-step explanation:

200 ; 2^3 x 5^2

Hey there! I'm happy to help!

A proportional relationship is a straight line that passes through the origin, which is (0,0). If you look at Graph 3, it looks like the line is straight, but it does not look like it will pass through (0,0). Therefore, Graph 3 does not show a proportional relationship.

Graph 4, however, does look like straight line and it does look like it will pass through (0,0). Therefore, Graph 4 does show a proportional relationship.

Have a wonderful day! :D

Answer:

4)

Step-by-step explanation:

3)

this relationship isn't a proprtional relationship since it does't pass through (0,0)

')

this relationship is a proportional relation since it is a straight line that passes through (0,0)

Answer:

Answer:1 1/4, 1/10, -1 3/4, -3

Step-by-step explanation:

its easy boiiiiiiiiiiiiiii

$$

U

If m = 7x + 7, m = 4y, and m = 112

since m = 112

112 = 7x + 7

112 - 7 = 7x

105= 7x

x = 15

112 = 4y

y = 28

Answer:

B, D, E

Step-by-step explanation:

Just took test :D

A polygon refers to a flat or two-dimensional shape which is closed and has straight sides. A polygon doesn't curved sides.

From the options given, the true statements about polygons include:

• The sides of a polygon are segments that intersect exactly two other segments, one at each endpoint.

• If all of the sides of a convex polygon are extended, none of them will contain any points that are inside the polygon.

• The extension of at least one side or diagonal in a concave polygon will contain a point that is inside the polygon.

Therefore, the correct options are B, D and E.

You can read more on polygon here:

https://brainly.com/question/20863477

Complete Question

The complete question is shown on the first uploaded image

Answer:

The  value is   [tex]T = 51 \ inches [/tex]

Step-by-step explanation:

 From the diagram we can obtain the the height of T  as follows

      [tex]T = \frac{60 + 42 }{2}[/tex]

Answer:

51 inches

Step-by-step explanation:

By definition of midpoint, 42 through T + T through 60 is congruent to each other.

So, we can add 42+60 together to get the total distance. This is 102.

Next, we divide 102 by 2 because as mentioned since T is the midpoint, each "segment" is exactly 2 halves, they are congruent to each other.

102/2= 51 inches.

hope that helped :)