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Answer:

x=35

Step-by-step explanation:

Since a quadrilateral's interior angles add up to 360°, we get this:

360-85-20=360-4x+x

340-85=360-3x

255=360-3x

-105= -3x

Multiply both sides by -1

105=3x

3x=105

Divide both sides by 3

x=35

Answer:

C. Multiply 3 by 18

Step-by-step explanation:

Susan reads:

1 page in 3 mins

So,

1 page = 3 mins

If we want the time for 18 pages, we would multiply both sides by 18

So,

18 pages = 3×18 mins

18 pages = 54 mins

Answer:

C

Step-by-step explanation:

1 page every 3 minutes

18 pages will take 3 × 18 = 54 minutes to read.

Step-by-step explanation:

[tex] log(x) = 2 \\ {10}^{2} = x \\ x = 100[/tex]

then for y:

[tex] log( y) = - 1 \\ {10}^{ - 1} = y \\ y = 0.1[/tex]

so:

[tex]xy - 100 {y}^{2} \\ = 100 \times 0.1 - 100 \times {(0.1)}^{2} \\ = 10 - 100 \times 0.01 \\ = 10 - 1 \\ = 9[/tex]

Answer:

-4

Step-by-step explanation:

f(x) = 4x - 12

Let x=2

f(2) = 4*2 - 12

     = 8-12

    = -4

Answer:

B. False

Step-by-step explanation:

Given

[tex]Points: (x_7 - y_i),(4,8)[/tex]

Required

Is the distance between them [tex]\sqrt{(x_7 - 8)^2 + (y_1 - 4)^2}[/tex]

Given that there are two points, the distance between them is calculated using

Distance = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

In this case;

[tex](x_1,y_1)= (x_7 - y_i)\\(x_2,y_2) =(4,8)[/tex]

Substitute these in the given formula

Distance = [tex]\sqrt{(4- x_7)^2 + (8 - y_1)^2}[/tex]

Comparing this with the given formula, both are not the same;

Hence, the formula is false and the correct formula is of the form [tex]\sqrt{(4- x_7)^2 + (8 - y_1)^2}[/tex]

Answer: 84 3/8 or 84.375 inches cubed

Step-by-step explanation:

4 1/2 * 5 = 22 1/2

22 1/2 * 3 3/4 = 45/2 * 15/4 = 675/8

675/8 = 84 3/8 or 84.375

Answer:

D

Step-by-step explanation:

Both of them can complete 7/12 of the job in  2 hours.

Rate is the mathematical term use to show how one quantity varies with a standard quantity.

Analysis:

If He can do the job in 8 hours, then he can do 1/8 of the job in 1 hour

If his friend can do the same job in 6 hours, then he can do 1/6 of that job in 1 hour.

So both of them would do the same job combine in 1 hour = 1/8 + 1/6

LCM of 6 and 8 is 24 so that 3/24 + 4/24 = 7/24

In 2 hours they would complete = 7/24 x 2 = 7/12

In conclusion, both of them can do 7/12 of that job in  2 hours.

Learn more about rate: brainly.com/question/24304697

#SPJ1

Answer: $479.20

Step-by-step explanation:

[tex]499.20*0.04=19.968[/tex]

[tex]round \\[/tex] [tex]19.968[/tex]

= 20

tax= $20

[tex]499.20-20=479.2[/tex]

The price of the TV before tax was $479.20

Answer:

36

Step-by-step explanation:

I cant be asked

Answer:

the answer is x = ( 5 + r )²

Step-by-step explanation:

I hope this was helpful

Answer:

40

Step-by-step explanation:

The sum equals 80 80/2=40

Answer:

3

Step-by-step explanation: If you write out all the numbers and you cross them out in order you will find that 3 is your median.

Answer:

(or 132 inches)

Step-by-step explanation:

Since there are 6 bracelets to make, we can multiply 22 and 6 to get 132.

The correct unit / format to answer this is in feet and all we have right now is the amount of inches we must convert.

132 inches converted into feet can be found by dividing by the amount of inches there are in a 1 foot.

Since there are 12 inches in a foot, we can divide 132 by 12 to get 11.

Answer:

45 + c = 110

c = 65

Step-by-step explanation:

110 - 45 = 65

Please mark as brainliest!

Answer:

They need to wash 65 more cars to reach their goal.

Step-by-step explanation:

45+c=110

subtract 45 from both sides

c=65

Answer: A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

just got it right EDG 2021

Answer:

x ≈ 6.9

Step-by-step explanation:

We use tan∅ to solve this:

tan21° = x/18

18(tan21°) = x

x = 6.90955

Answer:

CD = 9

Step-by-step explanation:

ΔADE is similar to ΔBCD

Such that:

AD is similar to CD

BD is similar to ED

AE is similar to BC

Taking the proportion of their sides to find the unknown sides CD

=> [tex]\frac{6}{2} = \frac{CD}{3}[/tex]

Cross Multiplying

=> 2(CD) = 3*6

=> CD = 18/2

=> CD = 9

Step-by-step explanation:

first find the side length by

considering a triangle under

the square

[tex]l \: = \sqrt{ {3}^{2} + {1}^{2} } = \sqrt{10} \: cm \\ area \: = \: \sqrt{10} \times \sqrt{10} = 10 \: {cm}^{2} \: \: \: \: ans[/tex]

Answer:

0.97

Step-by-step explanation:

97 /100

You can round once from behind to convert 97% to 0.97

9 7/10 equals 9.7

sorry if the answer is wrong

Answer:

Option D. 91/4950

Step-by-step explanation:

The following data were obtained from the question:

Barcelona (B) = 23

Real Madrid (R) = 23

Liverpool (L) = 22

Manchester City (M) = 18

Juventus (J) = 14

Total (T) = 100

Next, we shall determine the probability of the first pick i.e probability of Juventus. This is illustrated below:

P(J1) = n(J) /n(T)

P(J1) = 14/100

Now, the picking is done without replacement. The next pick being Juventus will reduce in number and likewise the total number will also reduce i.e

Juventus = 13

Total = 99

Therefore, the probability that the 2nd pick is Juventus is given below:

P(J2) = 13/99

Now, we can obtain the probability that the 1st and 2nd student prefer Juventus as follow:

P(J1 and J2) = P(J1) x P(J2)

P(J1) = 14/100

P(J2) = 13/99

P(J1 and J2) = P(J1) x P(J2)

P(J1 and J2) = 14/100 x 13/99

P(J1 and J2) = 7/50 x 13/99

P(J1 and J2) = 91/4950

Therefore, the probability that the 1st and 2nd student prefer Juventus is 91/4950

Answer:

(B) The electrician charges $40 per hour.

Step-by-step explanation:

Total cost=fixed cost + variable cost

F(x)=60+40x

Fixed cost =60

Variable cost=40x

x=hours of service

40=40 dollar per hour charge

The coefficient 40 represent the electrician charge of $40 per hour

(B) The electrician charges $40 per hour.

Answer:

[tex]6\:\mathrm{pages}[/tex]

Step-by-step explanation:

[tex]3 \times 4 = 12[/tex]

[tex]1\frac{1}{2} \times 4=6[/tex]

Answer:

6 pages

Step-by-step explanation:

1.5 pages         x pages

--------------- = ------------

3 minutes         12 minutes

Using cross products

1.5 * 12 = 3x

Divide each side by 3

18 /3 = 3x/3

6 =x

6 pages

Answer:

the answer is true

Step-by-step explanation:

Because a parallelogram would be the result.

Answer:

36 degrees.

Step-by-step explanation:

All the angles in a triangle add up to be 180 degrees. Since the ratio is 1:2:2, you can say that the angles are x, 2x, and 2x.

x + 2x + 2x = 180

5x = 180

x = 180 / 5

x = 36

Since the smallest part of the ratio is 1, the smallest angle is 36 degrees.

Hope this helps!

Answer:

A

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here b = 13 and h = 4 , thus

A = [tex]\frac{1}{2}[/tex] × 13 × 4 = [tex]\frac{1}{2}[/tex] × 52 = 26 units² → A

Answer:

A, 26

Step-by-step explanation:

Since the area of a triangle is one half base times height, and we have our height as 4, and our base as 13, we get 1/2 * 13 * 4, which is equal to 13 times 2, which is 26. Thus, our answer is A, 26.

Answer:

volume of water in the tank when it its half full

The capacity of the water tank = (5.04) /2 = 2.52 m³

2,520 litres

Step-by-step explanation:

Dimensions of a water tank:

Length (l) = 2.0 m,

wide (w) = 1.4 m,

Depth (h)= 1.8 m,

Volume of the tank (V)

LWH

2.0m × 1.4m × 1.8 m

= 5.04 m³

= 5.04 × 1000 litres

/* 1m³ = 1000 litres */

5,040 litres

Therefore,

The capacity of the water tank = 5.04 m³

5,040 litres

Answer:

A , B and C are similar to each other

Step-by-step explanation:

Please give me branlest

Answer:

63 minutes or 1 hour 3 minutes

Step-by-step explanation:

We can use ratios to solve

18 minutes    x minutes

--------------- = --------------

2 bowls          7 bowls

Using cross products

18*7 = 2x

Divide by 2

18/2 *7 = x

63 minutes

Answer: 63 minutes or 1 hour and 3 minutes

Step-by-step explanation:

18 minutes is how long it takes to make 2 bowls. To find out how long it takes to make 1 bowl, divide by 2.

18 / 2 = 9

Now multiply that by 7 to find out how long it takes to make 7 bowls.

9 * 7 = 63

63 minutes

Answer:

t = 5,-5

Step-by-step explanation:

35/7 = 5

because it is an absolute value, it will always be positive:

-35/7 = -5

Answer:

T = 5,

Step-by-step explanation:

7T = 35

divide 7 by both

T = 5

hope this helps

Answer:

C). y = ln x + 4

Step-by-step explanation:

First off, we can cancel out the [tex]e^{x}[/tex] graphs.

Now looking at the graph, one can see that when x = 1, y = 4.

So for each [tex]ln[/tex] function, plug in 1 for x.

In doing this, one will find that y = ln x + 4 is the only [tex]ln[/tex] graph that produces 4 when x = 1.

The slope of the line represented by this equation is 4/5.

We know this because this line is in slope-intercept form, y=mx+b, where m represents the slope and b represents the y-intercept. Thus, we can conclude that the slope is 4/5, which means that for every 4 units the line moves up, it also moves 5 units over (because slope is defined as rise/run).

This equation is in slope-intercept form, or

y = mx + b where m is the slope and b is the y-intercept.  The number in the m position in our equation is 4/5, so the slope is 4/5

Hope this helps!

please mark me brainliest!