the 2 triangles are similar. if the perimeter of triangle abc is 28, find the value of x​

Answer:

5 units of football

Step-by-step explanation:

Given that :

2.5 times as many footballs as basket balls is sold;

This means that ; for every unit of basketball sold 2.5 times that unit is the number of football sold ;

Hence, for every 2 basket balls sold, the number of units of football sold is ;

2 * 2.5 = 5 units

Answer:

23 marbles

Step-by-step explanation:

Number of children = 10

Number of marbles = 180

Since Betsy gets the most and no 2 children gets the same number of marbles

The least number of marbles Betsy could get will be x ; with the other 9 children receiving 1 less each

That is :

Betsy = x

9th child = x - 1

8th child = x - 2,... 1st child = x - 9

Hence,

(x + x - 1 + x - 2 + x - 3 + x - 4 + x - 5 + x - 6 + x - 7 + x - 8 + x - 9) = 180

10x - 45 = 180

10x = 180 + 45

x = 225 / 10

x = 22.5

x = 23

Hence, the least Betsy could get is 23 marbles

Answer:

7:4 would be the ratio I think

Answer:

1.5x ≤ 60

Step-by-step explanation:

He wants to run no more than 60 minutes a day

No more than means Less than or equal to with the inequality sign of ≤

Each lap = 1.5 minutes.

The greatest number of laps Peter could run = x

Therefore, the inequality that best represents the situation and represents x, the greatest number of laps Peter could run in a day

1.5 × x ≤ 60 minutes

= 1.5x ≤ 60

Solving for x

1.5x ≤ 60

x ≤ 60/1.5

x ≤ 40 laps

Hence, the Greatest number of laps = x that he can run is 40 laps

Answer:

side

Step-by-step explanation:

Answer:

150.88 cm²

Step-by-step explanation:

A rectangular prism also known as cuboid is a three dimensional object with six rectangular faces and eight vertices. It is a prism because it has the same cross section along the length. It is called a rectangular prism because its cross section is rectangular.

The opposite faces of a rectangular prism are equal to each other.

The total surface area (TSA) of a rectangular prism is:

TSA = 2(wl + wh + lh)

where w is the width of the base, l is the length of the base and h is the height of the prism.

From the question, we can see that:

w = 5 cm, l = 7.4 cm and h = 3.1 cm. therefore:

TSA = 2(wl + wh + lh) = 2[(5 * 7.4) + (5 * 3.1) + (7.4 * 3.1)] = 2(37 + 15.5 + 22.94)

TSA = 2(75.44)

TSA = 150.88 cm²

Answer:

[tex]20\:\mathrm{miles}[/tex]

Step-by-step explanation:

After travelling two hours, the two cruise ships form a triangle. One of the legs  of this triangle will be the distance Cruise A travelled, and another will be the distance Cruise B travelled. We can find the distance they travel using:

[tex]s=\frac{d}{t}, d=s\cdot t[/tex]

Cruise A is travelling at 18 miles per hour for 2 hours. Therefore, Cruise A has travelled:

[tex]d=s\cdot t=18\cdot 2=36\:\mathrm{miles}[/tex]

Cruise B is travelling at 15 miles per hour for 2 hours. Therefore, Cruise B has travelled:

[tex]d=s\cdot t=15\cdot 2=30\:\mathrm{miles}[/tex]

Because we are given the angle between these legs, we can use the Law of Cosines to find the third leg. The Law of Cosines is given by:

[tex]c^2=a^2+b^2-2ab\cos C[/tex], where [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] are interchangeable. Let [tex]c[/tex] represent the distance between the two cruises. We have:

[tex]c^2=36^2+30^2-2\cdot36\cdot30\cdot \cos 35^{\circ},\\c^2=426.63,\\c\approx \fbox{$20\:\mathrm{miles}$}[/tex](one significant figure).

9514 1404 393

Answer:

  20.7 miles

Step-by-step explanation:

The distance that A travels in the same direction as B is ...

  (18 mi/h)(2 h)cos(35°) = 29.489 mi

So, the difference in distances in that direction is ...

  (15 mi/h)(2 h) -29.489 mi = 0.511 mi

__

The distance A travels in the direction perpendicular to B is ...

  (18 mi/h)(2 h)sin(35°) = 20.649 mi

So, the straight-line distance between the ships is the hypotenuse of the right triangle with these distances as legs:

  AB = √(0.511² +20.649²) = √426.632 . . . miles

  AB = 20.655 miles ≈ 20.7 miles . . . separation after 2 hours

Answer:182.88cm

Step-by-step explanation:

12in in a foot

12in x 6 ft. = 72in

72in x 2.54cm = 182.88cm

Answer:

182.88

Step-by-step explanation:

6 ft = 72 inches

72(in) x 2.54(cm per inch) = 182.88cm

Answer:

R(t) = 10 + 0.50t

Step-by-step explanation:

Answer:

24,000

Step-by-step explanation:

Answer:

24,000

Step-by-step explanation:

Every kilogram is 1,000 grams

Answer:

y = 7/4x

Step-by-step explanation:

All you have to do is find the slope by using the formula change in y divided by change in x of the two points. You can see that y goes up by 14 when x goes up by 8. This means that the slope is 14/8, or 7/4.

The equation would then be y = 7/4x

Answer:

Total cost after x days = 100 + 5(x)

Step-by-step explanation:

Given:

Fixed cost = $100

Per day charges = $5

Find:

Total cost after x days

Computation:

Assume;

Number of days = x

Total cost after x days = $100 + $5(x)

Total cost after x days = 100 + 5(x)

Answer:

Hey!

Step-by-step explanation:

Legit just like make a graph like this:

10 | 1

20 | 2

30 | 3

And so on and so forth

Answer:

[tex]\frac{1}{r^{10} }[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]\frac{a^{m} }{a^{n} }[/tex] ( with n > m )

= [tex]\frac{1}{a^{(n-m)} }[/tex]

Then

[tex]\frac{r^{2} }{r^{12} }[/tex]

= [tex]\frac{1}{r^{(12-2)} }[/tex]

= [tex]\frac{1}{r^{10} }[/tex]

Answer: O {(0, -9), (-9, 0), (-3, -3)}

Step-by-step explanation:

Answer:

Shawn.

Step-by-step explanation:

We can solve for apples per hour and pears per hour. For Shawn, to get the apples per hour, we do 4/2 which is 2 bushels of apples per hour. For pears, we do 5/2 which is 2.5 bushels of pears per hour.

When Carla is picking, we can do:4/3 which is 1 and 1/3, which is her apple bushel picking per hour. For her pears, she picks them at 2 bushels of pears per hour.

Since Shawn picks her apples quicker per hour, and her pears quicker per hour, Shawn picks at a faster fruit pace.

Answer:

y = 81°

Step-by-step explanation:

let the 5 th angle in the pentagon be x

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 5, then

sum = 180° × 3 = 540°

sum the angles and equate to 540

x + 95 + 125 + 116 + 105 = 540

x + 441 = 540 ( subtract 441 from 540 )

x = 99°

x and y are adjacent angles and supplementary, sum to 180° , that is

x + y = 180°

99° + y = 180° ( subtract 99° from both sides )

y = 81°

Answer:

x = ~8.76

Step-by-step explanation:

Since we know that the scale factor is 4:7, we can figure that 5 will be 4/7 the size of x.

4/7 = 0.571

5 / 0.571 = ~8.76

Answer:

He earns $400 weekly and $57.14

Step-by-step explanation:

40*10 = $400

Answer:

-3.4

Step-by-step explanation:

-26=10A+8

-26-8=10A

-34=10A

-34/10=A

-3.4=A

Answer:

a= -17/5 or -3.4

Step-by-step explanation:

Move all terms that don't contain  a  to the right side and solve.

Answer:

Step-by-step explanation:

thx for the points

Answer:

Jack took 10 pictures on his bike ride.

Step-by-step explanation:

Given that:

Given measurements of sides are 3 miles and 4 miles

We will find the distance of the new route by using Pythagorean theorem.

[tex]a^2+b^2=c^2[/tex]

(3)² + (4)² = c²

9 + 16 = c²

25 = c²

c² = 25

Taking square root on both sides

[tex]\sqrt{c^2}=\sqrt{25}\\c=5[/tex]

The distance of new route = 5 miles

Picture taken per mile = 2

Picture taken on bike ride = 2*5 = 10 pictures

Hence,

Jack took 10 pictures on his bike ride.

Answer:

3) B

4) D

5) C

Step-by-step explanation:

3) Slope is before X

4) Set equal to Y

5) Use rise over run to find slope then find y intercept