In the figure below, if m∠2=(18x+6)° and m∠3=(21x+18)° then m∠2= ____ .

Answer:

(88a+80)(8a+8)

88a(8a+8)+80(8a+8)

704a²+704a+640a+640

704a²+1344a+640

(40y+zy)(4y+zy)

40y(4y+zy)+zy(4y+zy)

160y²+40zy²+4zy²+z²y²

160y²+44zy²+z²y²

Step-by-step explanation:

i hope this will help you

4 ounces left

75%=3/4

so 3/4 of 16oz is 4.

Kashloopski Iardatsky Fartucci

Answer: 75/8= 9 3/8

Step-by-step explanation: Area = 1/2 X b X h

1/2 X 5 X 15/4 =

75/8=9 3/8

Answer:

y = 16x/65

Step-by-step explanation:

Given:

Triangle ABE is similar to triangle ACD. AED and ABC are straight lines

EB and DC are parallel

The area of quadrilateral BCDE = xcm²

The area of triangle ABE = ycm²

Find attached the diagram from the above information.

In similar triangles, the ratio of their corresponding angles are equal.

Also, the ratio of the area of the two triangles = square of ratio of the corresponding sides of the two triangles.

Area ∆ACD/area of ∆ABE = (DC/EB)²

Area ∆ACD/area of ∆ABE = [(area of quadrilateral BCDE +

area of ∆ABE)]/(area of ∆ABE)

(x+y)/y = (DC/EB)²

(x+y)/y = (9/4)²

x+y = (81/16)y

x = (81/16)y - y

x = (81y - 16y)/16

x = 65y/16

Making y subject of formula

16x = 65y

y = 16x/65

An expression for y in terms of x:

y = 16x/65

An expression for y in terms of x is :

y = 16x/65

Given:

Consider, the image attached:

In similar triangles, the ratio of their corresponding angles are equal.

Also, the ratio of the area of the two triangles = square of ratio of the corresponding sides of the two triangles.

Thus,

Area ∆ACD/area of ∆ABE = (DC/EB)²

Area ∆ACD/area of ∆ABE =

[(area of quadrilateral BCDE + area of ∆ABE)]/(area of ∆ABE)

On substituting the given values:

(x+y)/y = (DC/EB)²

(x+y)/y = (9/4)²

x+y = (81/16)y

x = (81/16)y - y

x = (81y - 16y)/16

x = 65y/16

In terms of y:

16x = 65y  

y = 16x/65

Therefore,  an expression for y in terms of x:  y = 16x/65

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Answer:

m = 8 and c = 0

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 8x ← is in slope- intercept form, that is y = 8x + 0

with m = 8 and c = 0

Answer:

x over quantity 2x plus 3 equals 40 over 60

Step-by-step explanation:

Let light clothes=x

Number of dark clothes = 2x + 3,

Dark clothes are 60% of total clothes

Light clothes=100%-60%

=40%

Light clothes / dark clothes = percentage of light clothes / percentage of dark clothes

x / 2x+3 = 40 / 60

x over quantity 2x plus 3 equals 40 over 60

    Expression for this situation will be [tex]\frac{x}{2x+3}=\frac{60}{40}[/tex].

Let the number of dark cloths = y

And the number of light cloths = x

"The number of dark cloths is three more than twice the number of light cloths".

Therefore, equation will be,

y = 2x + 3 ----- (1)

"The laundry is 60% dark cloths"

Equation for this statement will be,

y = [tex]\frac{60}{100}(x+y)[/tex]

y = 0.6x + 0.6y

y - 0.6y = 0.6x

0.4y = 0.6x

[tex]\frac{y}{60}=\frac{x}{40}[/tex]

Now substitute the value of y from equation (1),

[tex]\frac{2x+3}{40}=\frac{x}{60}[/tex]

[tex]\frac{2x+3}{x}=\frac{40}{60}[/tex]

[tex]\frac{x}{2x+3}=\frac{60}{40}[/tex]

  Therefore, expression for this situation will be [tex]\frac{x}{2x+3}=\frac{60}{40}[/tex].

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Answer:

0.35

Step-by-step explanation:

This probability distribution is shown below:

Pitch                   1            2        3          4         5

Frequency         15         20      40        15        10

Probability         0.15     0.2      0.4      0.15      0.1

The probability that the pitcher will throw fewer than 3 pitches to a batter = P(X < 3)

X  is the number of pitches thrown. Therefore:

P(X < 3) = P(X = 1) or P(X = 2)

The additive rule pf probability states that if two events X and Y are dependent events, the probability of X or Y occurring is the sum of their individual probability.

P(X < 3) = P(X = 1) or P(X = 2) = P(X = 1) + P(X = 2) = 0.15 + 0.2 = 0.35

The probability that the pitcher will throw fewer than 3 pitches to a batter = 0.35

Answer:

.35

Step-by-step explanation:

Answer:

m = -1

c = 9

Step-by-step explanation:

m is slope, which is the coefficient of x

c is the y-int, which is the constant

Answer:

Let's solve the inequality.

5 > 2p + 1

4 > 2p

2 > p

Some answers are p = 1, p = 0, p = -1, etc.

Step-by-step explanation:

y=4/3x+4

y int =4

x int = -1

the graph is an increasing graph line that touch 4 in y and -1 in x

m=4/3

Answer:

I'm not 100% sure but I'm pretty sure its 'D'

Answer:

the answer is b

Step-by-step explanation:

Answer:

4 dollars is the highest

Answer:4 Is the highest each baseball can cost

Step-by-step explanation: He has $20 and wants to buy 5 baseballs. This leads the equation to be 20/5. Which, after solving the equation makes the highest cost of each ball $4

Answer:

350$

Step-by-step explanation:

600 = total in checking account.

250 = left in checking account after transaction.

600-250 = 350

meaning the most she can spend on a computer is 350$.

Answer:

t ≤ 350

Step-by-step explanation:

Which inequality represents all possible values of t ?

According to 3 sources I found online this should be correct! Let me know if anything else is needed asap!

Answer:

y -2= 1/2(x+7)

Step-by-step explanation:

The point slope form of a line is

y-y1 = m(x-x1)

where m is the slope and (x1,y1) is a point on the line

y - 2 = 1/2(x - -7)

y -2= 1/2(x+7)

Answer:

D)  y - 2 = 1/2(x - (-7))

Step-by-step explanation:

I just took the quiz on edge

Answer:

answer B. -5

Step-by-step explanation:

hello

fg(-4)=f(-4)*g(-4)=(-4-1)(5*16-19*4-3)=-5*(80-76-3)=-5*(1)=-5

hope this helps

Answer: It is B. -5

Answer:

3fx

Step-by-step explanation:

f(x)+f(x)+f(x)

remove parenthesis: (a)=a

add similar elements: fx+fx+fx

=3fx

Answer: for edge

3f(x)

3x2

12

Answer: C

Step-by-step explanation:

IT is dividing by 6

The value of x in the given diagram of two similar triangle is  9 units.

Let us consider the name of two triangles be ABC and PQR.

Such that,

In triangle ABC,

AB = 12 , BC = 54 , m∠BAC = 90° and marked angle  is ∠ABC .

In triangle PQR,

PQ = 2 , QR = x, m∠QPR = 90° and marked angle  is ∠PQR .

In triangle ABC and PQR we have,

m∠BAC = 90° = m∠QPR

m∠ABC = m∠PQR  (given )

By AA corollary,

Triangle ABC is similar to triangle PQR with correspondence ABC ↔ PQR.

Corresponding sides of the similar triangle are in proportion.

AB / PQ = BC / QR

⇒ 12 / 2 = 54 / x

⇒ 12x  = 54 × 2

⇒ x = ( 54 × 2 ) / 12

⇒ x = 9

Therefore, the value of x in the given triangle is equal to 9 units.

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Answer:

Ok, the solution to the first one. See below.

Step-by-step explanation:

[tex]1>3-d\\\\\mathrm{Add\:}d\mathrm{\:to\:both\:sides}\\\\1+d>3-d+d\\\\\mathrm{Simplify:}\\\\1+d>3\\\\\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}\\\\1+d-1>3-1\\\\\mathrm{Simplify:}\\\\d>2[/tex]

See attachment below.

Best Regards!

3 to the power of 14

Step-by-step explanation:

you need to add the exponents together. When you multiply exponents you actually add them.

so [tex]3^{14}[/tex] is your answer.

or 4783969 if you solve the whole thing

i hope this helps

Answer:

3 to the power of 14

Step-by-step explanation:

Answer:

112°

Step-by-step explanation:

∠OLM= 2x, ∠PON= x

∠LOK= x

∠OKL= 180-124= 56

∠OLM= ∠OKL+∠LOK

x+56°= 2x

x= 56°

2x= 112°

Answer:

Step-by-step explanation:

The slope is 3 and the y-intercept is 2 or (0, 2)

Answer:

The y-intercept of the equation is -2.

Step-by-step explanation:

This equation is in slope-intercept form (y = mx + b). b represents the y-intercept, and m represents the slope.

Answer:

12 in^2

Step-by-step explanation:

A = l*w

   = 2in * 6 in

  = 12 in^2

Answer:

Area = 12 in.²

Step-by-step explanation:

Area = length × width

Where w = 2 and L = 6

So,

Area = 2 × 6

Area = 12 in.²

Answer:

30% percent profit

Step-by-step explanation:

100 pence in a pound.

1000 grams in a kilogram.

She bought 5000g of sweets.

She pays 10×100=1000 pence.

She put them into 5000÷250=20 bags.

She sells the bags for 65 pence each.

She sells them all for 20×65=1300 pence.

She gets a profit of 300 pence or 3 pounds.

She gets a percent profit of 30%.

Answer:

17ft/min

Step-by-step explanation:

1865-1525 =  340

multiply the rest by 20 and see which gets 340 ft. so the only correct one is 17ft/min

Answer:

What am I supposed to do

Step-by-step explanation:

Answer: 3/8

Step-by-step explanation:

When you subtract fractions, you want them to have a common denominator.

[tex]\frac{36}{24}-\frac{27}{24} =\frac{9}{24}[/tex]

This answer is correct, but it is not in the simplest term. To get the simplest term, you want to divide the numerator and denominator by the same number.

[tex]\frac{9}{24} =\frac{3}{8}[/tex]

Answer:

9 carrots

Explanation:

There are different ways to solve these.

The first one is identify the pattern of the graph. You can see that the slope has 3 rises up and 2 runs to the right. So follow that point and you can see that the next coordinate is (6,9).

The second way is identify the pattern of the table. As you can see, the pattern goes like this: [tex]\frac{2}{3} ,\frac{4}{6} ,\frac{6}{y}[/tex]

2/3 = 2/3

4/6 = 2/3

6/y = 2/3

Solve the last one algebraically (cross-multiply first):

6/y = 2/3

2y = 18

y = 18 ÷ 2

y = 9

6/9 = 2/3 (correct)

Answer:

9 carrots

Step-by-step

Answer:

D

Step-by-step explanation:

(160x243)^1/5=8.27

D also equivalates to 8.27

Answer:

so the answer for that is D.

Step-by-step explanation:

160 X 243= 38880

38880^.2 (or 1/5) = 8.27

D. 5 carrot thing 5= 1.379..x 6= 8.27

Answer:

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

Step-by-step explanation:

x ∝ p

x = kp -------(1)

Where k is the constant of proportionality.

Now, x = 2 when p = 4

Putting in the above formula

2 = k(4)

Dividing both sides by 4

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

=> k = [tex]\frac{1}{2}[/tex]

Putting k in (1)

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

Now this is the required equation connecting both.

Answer:

y = 3x - 10

Step-by-step explanation:

Step 1: Rewrite 1st equation

2y = 6x + 4

y = 3x + 4

Step 2: Find 2nd equation

y = 3x + b

-4 = 3(2) + b

-4 = 6 + b

b = -10

Step 3: Rewrite 2nd equation

y = 3x - 10

And we have your parallel equation!