Determine the Measure of angle X

Answer:

The last option.

Answer:

[tex]\frac{x^{2}-100 }{x^{2}+2x-120 }+\frac{6x+60}{x-2}\\\\\\=\frac{(x-10)(x+10)}{(x-10)(x+12)}+\frac{6x+60}{x-2}\\\\=\frac{x+10}{x+12}+\frac{6(x+10)}{x-2}\\\\=(x+10(\frac{1}{x+12}+\frac{6}{x-2})\\\\=(x+10)(\frac{x-2+6x+6.12}{(x+12)(x-2)})\\\\=(x+10)(\frac{7x+70}{(x+12)(x-2)})\\=\frac{7(x+10)^{2} }{(x+12)(x-2)}[/tex]

It's the simplest form I can make

Step-by-step explanation:

Answer:

Length of rectangle = 36 yd and width of rectangle = 9 yd

Step-by-step explanation:

Let width of rectangle = w

Length of rectangle = 4w (four times the width)

Perimeter of rectangle = 90 yd

We need to find length and width of rectangle.

The formula used will be: [tex]Perimeter \ of \ rectangle=2(l+w)[/tex]

Where l is length and w is width

Putting values and finding length and width of rectangle

[tex]Perimeter \ of \ rectangle=2(l+w)\\90=2(4w+w)\\90=2(5w)\\90=10w\\w=\frac{90}{10}\\w=9[/tex]

So,width (w) of rectangle is w= 9 yd

Finding length of rectangle = 4w = 4*9 = 36 yd

So, length of rectangle = 36 yd and width of rectangle = 9 yd

Answer:

Step-by-step explanation:

Given

L=6

W=15

H=4

Solution surface area of the figure=2(lb+bh+hl)

=2(6×15+15×4+4×6)

=2(90+60+24)

=2(174)

=348m^2

Answer:

$320

Step-by-step explanation:

Given parameters:

  Cost of attending the 2-year technical college = $3200;

 His parents intend to give him half the cost;

      Half the cost  = [tex]\frac{1}{2}[/tex] x $3200 = $1600

The remaining cost  = $3200 - $1600 = $1600

Sam has 5yrs to work every summer;

  He must save: [tex]\frac{1600}{5}[/tex]  = $320 every summer for the next five years to afford his first year tuition

Answer:

the answer is 20.

Step-by-step explanation:

Answer:

20m/s (20m over s

Step-by-step explanation:

200/10=20

Then all you have to do is put you're variables in with them.

Answer:

2225

Step-by-step explanation:

1643 A.D. years plus 582 B.C. years in between the births

Answer:

THANK YOUUUUUUUUUUUUUUUUUUUUUUUUUUUUUU

IOAWEDSIFAHIDFVADEF

AJDEFIA

DJFAID

FAJIDFAJI

DFAJ

FJI

ADFAIDJFAJDJAIDIF

AJIODJDSIOJFADOEIF

FREEEEEEEE POINTS

AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH

Step-by-step explanation:

Answer:

It would be C (I think)

The lines are parallel

Step-by-step explanation:

Answer:

binomial and not a polynomial

Answer:

Did you just assume my gender?

Mark me brainliest please :)

Love ya!

Step-by-step explanation:

Answer:

-3/4 x + 1/2

Step-by-step explanation:

First, you're going to sort by like terms

-1/8 +5/8= 4/8=1/2

+2 1/4 x- 3x= -3/4x

then write out as

-3/4 x + 1/2

Answer:

-3/4x+1/2

Step-by-step explanation:

It’s not solving.  It’s combining like terms.

-3/4x+4/8

-3/4x+1/2

Answer:

The cookies would cost $20.125

Step-by-step explanation:

You would mulitply 1 3/4 by 11.50 to get your answer

Answer:

Step-by-step explanation:

11.50 a pound and he buys 1 3/4 a pound.

11.50*1.75= $20.125 or $20.13 if you round.

Answer:

(-7,0) and (-5,0)

Step-by-step explanation

1. 0= (x + 7)

  -7        -7

    -7=x

(-7,0)

2. 0= (x + 5)

    -5         -5

      -5=x

(-5,0)

Answer:

I think it is

C. Sometimes

Answer:

A

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

2(4x + 3) = 10x - 2

2 × 4x + 2 × 3 = 10x - 2

8x + 6 = 10x - 2

8x - 10x = - 6 - 2

- 2x = - 8

2x = 8

x = 8/2

x = 4

-TheUnknownScientist

Answer:

x= 4

Step-by-step explanation:

we open brackets first

2(4x + 3) = 10x - 2

8x+6=10x-2

transpose

6+2= 10x-8x

8= 2x

x= 8/2

x= 4

Answer:

There would 10,000 possible combination with the numbers 0, 1 and 2

g(x)=x^2-1

f(g(X))=5 sqrt(x^2-1+1)-2

5 sqrt(x^2)-2

:sqrt cancel the square

5x-2

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{\dfrac{21}{7}\ of\ 2\dfrac{1}{2}}[/tex]

[tex]\mathsf{= \dfrac{21}{7}\times2\dfrac{1}{2}}[/tex]

[tex]\mathsf{= \dfrac{21}{7}\times\dfrac{2\times2+1}{2}}[/tex]

[tex]\mathsf{=\dfrac{21}{7}\times\dfrac{4 +1}{2}}[/tex]

[tex]\mathsf{=\dfrac{21}{7}\times\dfrac{5}{2}}[/tex]

[tex]\mathsf{=\dfrac{21\div7}{7\div7}\times\dfrac{5}{2}}[/tex]

[tex]\mathsf{= \dfrac{3}{1}\times\dfrac{5}{2}}[/tex]

[tex]\mathsf{= \dfrac{3\times5}{1\times2}}[/tex]

[tex]\mathsf{= \dfrac{15}{2}}[/tex]

[tex]\mathsf{\approx 7\dfrac{1}{2}}[/tex]

[tex]\huge\textsf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\frak{7 \dfrac{1}{2}}}\huge\checkmark[/tex] [tex]\large\textsf{or even}\rightarrow[/tex] [tex]\huge\boxed{\frak{\dfrac{15}{2}}}\huge\checkmark[/tex][tex]\uparrow\large\textsf{Either these should work because they are equal to each other.}\uparrow[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:2

Step-by-step explanation:

Answer:

7/32

Step-by-step explanation:

Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.

Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes

18×74=?

For fraction multiplication, multiply the numerators and then multiply the denominators to get

1×78×4=732

This fraction cannot be reduced.

Therefore:

18÷47=732

Solution by Formulas

Apply the fractions formula for division, to

18÷47

and solve

1×78×4

=732

Therefore:

18÷47=732

Answer:

4 4/7

Step-by-step explanation:

4/7 divided by 1/8

= 4/7 x 8/1  

4 × 8

7 × 1

= 32/7 = 4 4/7

Answer:

The inequality [tex]x>2[/tex] matches the graph.

Step-by-step explanation:

towards the +ve ∞  from the [tex]x > 2[/tex].

As the graph involves a dotted line, meaning the inequality must

contain  < or > inequality.

so (2, ∞)  is the interval of the domain of the inequality will be:  

Therefore, inequality [tex]x>2[/tex] matches the graph.

Answer:

No.

Step-by-step explanation:

If you perform the "vertical line test" you will see that if that line intersects more than once, it is not a function.

Inspect the graph to see if any vertical line drawn would intersect the curve more than once.

If there is any such line, the graph does not represent a function.

If no vertical line can intersect the curve more than once, the graph does represent a function.

Answer:

The required integers are x=3 and y= -9

Step-by-step explanation:

Let one the integers be x and y

An integer is 15 more than 2 times another: x=15+2y

product of the two integers is -27: x*y=27

[tex]x=15+2y ---eq(1)\\x*y=-27----eq(2)[/tex]

Solving both equations to find values of x and y

Putting value of x from equation 1 in equation 2

[tex](15+2y)*y=-27\\15y+2y^2=-27\\Rearranging:\\2y^2+15y-27=0[/tex]

This can be solved using quadratic formula:

[tex]$y=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$[/tex]

Putting values and finding factors

[tex]$y=\frac{-(15)\pm\sqrt{(15)^2-4(2)(-27)}}{2(2)}$\\$y=\frac{-(15)\pm\sqrt{225+216}}{4}$\\$y=\frac{-(15)\pm\sqrt{441}}{4}$\\$y=\frac{-(15)\pm21}{4}$\\$y=\frac{-(15)+21}{4} \ or \ y=\frac{-(15)-21}{4}$\\$y=\frac{6}{4} \ or \ y=\frac{-36}{4}$\\$y=\frac{3}{2} \ or \ y=-9$[/tex]

Since y is integer so, we consider only y= -9

The value of x will be:

[tex]x*y=-27\\x*(-9)=-27\\x=\frac{-27}{-9} \\x=3[/tex]

So, the value of x is x=3

The required integers are x=3 and y= -9

Answer:

I think that it is 120 but not sure

Step-by-step explanation:

sorry if wrong

Answer:

B.

Step-by-step explanation:

Answer:

The answer is C. 5 weeks.

Step-by-step explanation:

Answer:

D=100 square inches

Step-by-step explanation:

Area of a square=side^2

Area of a cube=6xside^2

let the side be a

6a^2=600

a^2=600/6

a^2=100

Answer:

im on it its d

Step-by-step explanation:

Answer:

[tex]\huge\boxed{\sf Agnes\ Score = 688\ points}[/tex]

Step-by-step explanation:

[tex]\sf = 20 \% \ of \ 860 \\\\= \frac{20}{100} * 860\\\\= 2 * 86\\\\= 172 \ points[/tex]

Since, Agnes scored 20 % fever than Amy.

So,

Agnes Score = Amy's Points - 20 % of Amy's Points

Agnes Score = 860 - 172

Agnes Score = 688 points

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

Step-by-step explanation:

a. Money held by individuals in savings accounts is part of the M2 money supply, but not part ofthe M1 money supply. Therefore, when Jane withdraws $500 cash from her savings account,the M1 money supply increases by $500. However, the M2 money supply does not changebecause the M1 money supply is included as part of the M2 money supply.b. Money held by banks and governments is not included as part of the money supply. Therefore,when Jane uses $300 to pay her income tax to the U.S. Treasury, that total of $300 is taken out ofboth the M1 and M2 money supplies. When Jane deposits the remaining cash ($80) into hersavings account, the M1 money supply is reduced by that amount, but it does not affect the M2money supply. Therefore, Jane's actions cause the M2 money supply to change by ­$300 (theamount used to pay her taxes) and the M1 money supply to change by ­$380 (the amount used topay her taxes plus the amount that was deposited into her savings account). Note that it does notmatter that Jane no longer has the $120 she used to pay for the gold clubs, as the funds remainsin someone else's checking account. So this amount is neither removed from the M1 moneysupply nor the M2 money supply.NumericResponseDifficulty: 03 HardLearning Objective: 14­02 List anddescribe the components of the U.S.money supply.5000­380­300References