In the given ∆ABC, DE || BC. What is the value of x?
A)12 in.
B)16 in.
C)20 in.
D)30 in.​

Answer: 72.32

Step-by-step explanation:

The line is 180 so

7x + 8x + 44.4 = 180

15x + 44.4 = 180

-44.4         =  -44.4

15x = 135.6

divide both by 15

x = 9.04

So 8 * 9.04 = 72.32

Answer:

The answer is 72.32°

Step-by-step explanation:

So, since that is a straight line, we know that all of the angles add up to get 180° total. Using this knowledge, we can determine that 44.4 + 8x + 7x = 180°.

First, we need to find what x is to find the missing values. To do that, we have to set all the values, 44.4, 8x, and 7x equal to 180, because we know they add up to 180°.

44.4 + 8x + 7x = 180

Combine the like terms.

44.4 + 15x = 180

Bring the 44.4 over to the other side in order to get x alone by subtracting it from 180.

15x = 135.6

Divide both sides by 15 to get x completely alone.

x = 9.07

Now we have what x is, 9.07.

All you need to do now is substitute 9.07 into the place of x.

8(9.07) = 72.32

So now you know that the highlighted angle is 72.32°.

answer:

she can only buy 4 games

Answer:

8x-10

Step-by-step explanation:

5 * 3x = 8x, 5* -2 = -10

Answer:44

Step-by-step explanation:

Just you the proportions:

so you will get (20*33)/15 which is equals to 44

Answer:

44

Step-by-step explanation:

From the one side the relationship is 15:20, so for this side it's 33:??

15/20 = .75

33/.75 = 44

Answer:

4,498,252,900 km

Step-by-step explanation:

Answer:

It is not correct, x = -5

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

because 5+15=10

-15=15

x= -5

which means its NOT a solution because it equals -5

Answer:

8 hours

Step-by-step explanation:

Given data

Commission= 5%

Sales= $3,200

Total earnings= $240

Let us find the amount in commission earned

=5/100*3,200

=0.05*3,200

=$160

Hence 240-160=$80

$80 is the amount earned yesterday

we are told that per hour is $10

Hence $80 will be earned for

=80/10

=8 hours

Answer: 20 mph

Step-by-step explanation:

Given

The airplane is at a height of 528 ft with a rate of 20 mph

The automobile is also directing east at the rate of 40 mph

at this instant, they are separating by the relative velocity between them

[tex]\Rightarrow v_{rel}=40-20=20\ mph[/tex]

Answer:

Average rate of chage = [change of y] / [change of x] = [- 10.125 - (-.35)] /[4 - 2] =

= -3.3125

Answer: option B.

Step-by-step explanation:

please mark as brillant

Answer:

B.) −3.3125

Step-by-step explanation:

I am doing the test on flvs right now.

Answer:

9

Step-by-step explanation:

Answer:

The expected payoff for Ann is that she loses the game

Step-by-step explanation:

The expected payoff for Ann is that she loses the game, this is because only 5 out of the 20 sections allow Ann to win money, this is only 25% of the spinner. Meaning that 75% of the spinner will cause Ann to lose the game. Rolling two times increases the odds that she will lose the game. Since the greatest probability is that Ann will land on a section that causes her to lose the game, then this is the expected payoff.

Answer:

12, 15

Stepby-step explanation:

Answer:

Step-by-step explanation:

1. 520/13=40

140/7=20

40*20=80

2. 300*150=45000

   45000*6=270000

3. 230-70*2=90

   90/2=45 (width)

   70*45=3150(area)

Answer:

60 books were at the book sale

Step-by-step explanation:

Let

x = total books at the book sale

Percentage of books sold = 80% of x

= 80/100 * x

= 0.8x

Number of books sold = 48

Therefore,

0.8x = 48

Divide both sides by 0.8

0.8x / 0.8 = 48 / 0.8

x = 60 books

x = total books at the book sale = 60 books

Number of books unsold = Total books at the book sale - number of books sold

= 60 - 48

= 12

Number of books unsold = 12 books

Answer:

[tex](x,y) = (2,1)[/tex]

Step-by-step explanation:

Given

Coordinate: (-3,-9) and (4,5)

Ratio= 5 : 2

Required

Determine the point at the segment

The coordinate of the point is calculated using:

[tex](x,y) = [\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n}][/tex]

Where:

[tex]m : n=5:2[/tex]

[tex](x_1,y_1) = (-3,-9)[/tex]

[tex](x_2,y_2) = (4,5)[/tex]

So, we have:

[tex](x,y) = [\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n}][/tex]

[tex](x,y) = [\frac{5 * 4 + 2 * -3}{5+2},\frac{5*5+2*-9}{5+2}][/tex]

[tex](x,y) = [\frac{14}{7},\frac{7}{7}][/tex]

[tex](x,y) = (2,1)[/tex]

The coordinate of the point is: (2,1)

Answer:

160°

Step-by-step explanation:

The formula below gives the measure of an interior angle of a regular polygon of n sides.

[(n - 2)180]/n

[(18 - 2)180]/18

16(10)

160

Answer: 160°

Answer:

c=9.20p

Step-by-step explanation:

cost is what you're solving for so that goes on the outside. each package costs 9.20 so you multiply however many packages by that number when finding the cost.

Answer:

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

Step-by-step explanation:

Point slope form is

(y-y1) = m(x-x1)  where m is the slope and (x1,y1) is a point on the line

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

Answer:

Step-by-step explanation:

Answer:

C) $130

Step-by-step explanation:

simplify the equation:

p = 210 - (20 * 4)

p = 210 - (80)

p = 130

Answer:

y = 6x

Step-by-step explanation:

Equation representing the relation between duration of work and earning is,

y = kx

Here, y = earnings

x = Working hours

k = Proportionality constant

By substituting the values in the given equation,

x = 25 hours

y = $150

150 = k(25)

k = 6

Therefore, equation modeling the situation will be,

y = 6x

Answer:

its neither

Step-by-step explanation:

supplementary means the angles would equal 180° and complementary means the Angel's would equal 90°

in this case the angles equal to neither.

Answer:

1.neither

as there sum =56+142=198°

3.supplementary

sum =57+123=180°

Answer:

y=-3x-1.8

Step-by-step explanation:

y-y1=m(x-x1)

y-(-1.8)=-3(x-0)

y+1.8=-3(x)

y+1.8=-3x

y=-3x-1.8

Answer:

L'(1;1) M'(5;1) P'(5;4)

Answer:

m=10

n=12

Step-by-step explanation:

[tex]\frac{1}{5} m-\frac{1}{6} n=0\\m=\frac{5}{6} n\\5 \times \frac{5}{6} n-4n=2\\25n-24n=12\\n=12\\m=\frac{5}{6} \times 12=10[/tex]

Answer:

y=-6/5x-2

Step-by-step explanation:

We are given points (5,-8) and (-5,4)

Slope = m = (y₂-y₁)/(x₂-x₁) = (-8-4/(5-(-5)) = -12/10 = -6/5

Y-intercept = b = (0,-2)

Final equation: y=-6/5x-2

Answer:

y=-6/5x-2

Step-by-step explanation:

y=mx+b

Its sloping downwards, so a negative slope.

two points: (-5,4) and (5,-8)

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

so first find the slope.

y2-y1 / x2-x1  <= formula

so: -8-(4) / 5-(-5)

which becomes => -12/ 10

which is 6/5 the slope is 6/5

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

plug this into y=mx+b, where m is the slope

so: y=6/5x+b

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

obviously b is the y intercept, where the line meets y

the y intercept is -2

sooooooo final answer is

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

y=6.5x+(-2)

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

Negative slope, so becomes y=6/5x-2

Answer:

See the answers below

Step-by-step explanation:

Given data

Length = 1/5mile

Width= 3/8 mile

The expression for the perimeter

P=2L+2W

Substitute

P=2*1/5+ 2* 3/8

P= 2/5+6/8

P= 16+30/40

P=46/40

P= 23/40 miles

Area= Length *Width

Area= 1/5* 3/8

Area= 3/40 square miles

Answer:

-8

Step-by-step explanation:

Multiply -4 and 2

Answer:

-8

Step-by-step explanation: