Given that the triangles shown below are simiar, what is the value of x?

Answer:

B) 2:5

Step-by-step explanation:

it should be 2:5 since the girls are only 10, while the boys are 25 in number which makes their ratio bigger.

Answer:

y = - [tex]\frac{5}{2}[/tex] x + 5

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 )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (4, - 5) and (x₂, y₂ ) = (2, 0)

m = [tex]\frac{0+5}{2-4}[/tex] = [tex]\frac{5}{-2}[/tex] = - [tex]\frac{5}{2}[/tex] , then

y = - [tex]\frac{5}{2}[/tex] x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (2, 0 )

0 = - 5 + c ⇒ c = 0 + 5 = 5

y = - [tex]\frac{5}{2}[/tex] x + 5 ← equation of line

Answer:

 4.50

Step-by-step explanation:

4 = Whole number. 1 = Numerator. 2 = Denominator. To get 4 1/2 in decimal form, we basically convert the mixed number to a fraction and then we divide the numerator of the fraction by the denominator of the fraction.

The decimal form of  4 and 1/2  is 4.5

Decimal is a fraction written in a unique form. The dot notation is used to represent the fraction form.

Therefore, 4 and 1/2 in decimal form is represented as follows;

Mixed fraction = 4  1 / 2

Improper fraction = 9 / 2

decimal form of  1 / 2 = 0.5

Therefore, 4 1 / 2 = 4.5

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Weight limit of an elevator = 1800 pounds

Average weight of each person who comes in the elevator = 160 pounds

Quantity of items with them = 3 pounds

Let the number of people who can ride the elevator at one time be x.

Which means :

[tex] =\tt 160x + 3 = 1800[/tex]

[tex] = \tt160x = 1800 - 3[/tex]

[tex] = \tt160x = 1797[/tex]

[tex] =\tt x = \frac{1797}{160} [/tex]

[tex] =\tt x = 11[/tex]

Thus, number of people who can enter the elevator is 11.

▪︎Therefore, the correct option is (b) 11.

Answer:

B) 2 1/4

Step-by-step explanation:

Answer:

B.2 1/4

C.9/4

Step-by-step explanation:

2 1/4 is what shown

9/4=2 1/4

Answer:

The slope is: -1/9

Answer:

-1/9

Step-by-step explanation:

You have 2 points, (x1, y1) and (x2, y2). To find slope, do (y2-y1)/(x2-x1)

(10, 7) and (1, 8)

slope is

(8 - 7)/(1 - 10)

= 1/-9

= -1/9

Answer:

csc

x

−

sin

x

=

1

sin

x

−

sin

x

=

1

−

sin

2

x

sin

x

=

cos

2

x

sin

x

=

cos

x

⋅

cos

x

sin

x

=

cos

x

cot

x

Step-by-step explanation:

9514 1404 393

Answer:

  3 19/30 hours

Step-by-step explanation:

The given fractions will have 30 as a common denominator.

  12/30 + 1 5/30 + 2 2/30 = (1 +2) +(12 +5 +2)/30 = 3 19/30 . . . hours

Jenny ran 3 19/30 hours this week.

Answer:

Step-by-step explanation:

Total hours that Jenny ran = 3.63 hours.

Step-by-step explanation:

Jenny ran on Tuesday for = 2/5 hours or 0.4 hours.

Time consumed to run on Thursday = 11/6 hours or 1.83 hours.

Time consumed to run on Saturday = 21/ 15 hours or 1.4 hours.

Here, the total hours can be calculated by just adding all the running hours. So the running hours of Tuesday, Thursday, and Saturday will be added to find the total hours.

Total hours that Jenny ran = 0.4 + 1.83 + 1.4 = 3.63 hours.

Answer:

y=18-5x

Step-by-step explanation:

Answer:250

Step-by-step explanation:

150/3 =50

50x5=250

The quantity of strawberries in jar is 250 gram.

Comparing two amounts of the same units and determining the ratio tells us how much of one quantity is in the other. Two categories can be used to categorise ratios. Part to whole ratio is one, and part to part ratio is the other. The part-to-part ratio shows the relationship between two separate entities or groupings.

Given the Jam is made from sugar and strawberries in a ratio of 3:5,

ratio of sugar to strawberries = 3/5

sugar in jam = 150 gram

let quantity of strawberries  be x gram

the ratio of sugar to strawberries = 150/x

since both ratios are in proportions so

3/5 = 150/x

x = 150 * 5/3

x = 250 gram

Hence the quantity of strawberries is 250 grams.

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Answer:

1/81

Step-by-step explanation:

P(H,H,H,H)=16/81

fourth root of 16/81= 2/3

so the probability of getting tails would be 1/3

probability of getting 4 tails would be:

P(T,T,T,T)=(1/3)^4

=1/81

The probability of getting 4 tails when the coin is thrown 4 times is 1/81

We have:

P(Head 4 times) = 16/81

This means that:

P(Head)^4 =  16/81

Take the 4th root of both sides

P(head) = 2/3

The probability of a tail is calculated as:

P(tail) = 1 - P(Head)

This gives

P(tail) = 1 - 2/3

P(tail) = 1/3

When thrown 4 times, we have:

P(tail)^4 = (1/3)^4

P(tail) = 1/81

Hence, the probability of getting 4 tails when the coin is thrown 4 times is 1/81

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Answer:

764 numbers

Step-by-step explanation:

Number of multiples of 2: is 2x50–2x499 which is 450 numbers.

Number of multiples of 3: 3x34–3x333 is 300 numbers

Multiples of 5: 5x20–5x199 is 180 numbers

Multiples of 2x3 or 6: 6x17–6x62 or 46 numbers.

Multiples of 3x5 or 15: 15x7–15x66 or 60

numbers.

Multiples of 2x5 or 10: 10x10–10x99 or 90 numbers.

Multiples of 2x3x5 or 30: 30x4–30x33 or 30 numbers.

450+300+180–46–60–90+30=

764 numbers.

Answer:

u = 0

Step-by-step explanation:

55 - 11u = 55

-11u = 0

u = 0

Answer:

x = 60°

Step-by-step explanation:

Vertical Angles Theorem states that vertical angles, angles that are opposite each other and formed by two intersecting straight lines, are congruent.

Answer:

X= 60° because vertically opposite angles

Answer:

Step one- Divide both sides by 2

Step two- Add three to both sides

Step three- Divide both sides by 6

Step-by-step explanation:

Hope that helped

Answer:

Step-by-step explanation:

b

Answer:

y = x + (6+x)

Step-by-step explanation:

Y represents the total number of marbles.

X represents number of blue marbles.

6+X represents number of yellow marbles.

To Solve:

  24 = 2x + 6

  Subtract 6 from both sides: 18 = 2x

  Divide boths sides by 2: 9 = x

Now fill in the values: Blue Marbles = 9, Yellow marbles = 15

Answer:

13

Step-by-step explanation:

Answer:

your awnser should be 42°

Answer:

6x + 10

Step-by-step explanation:

2+4=6

and 10 doesn't have an x next to it so it doesn't count

Answer:

7629.39453125

Step-by-step explanation:

The formula for the n-th term is:

[tex]k_n = \frac{5^{n-1}}{2^{n-2}}[/tex]

So:

[tex]k_{10} = \frac{5^9}{2^8}[/tex] = 1953125 / 256 = 7629.39453125

Answer:

7629.395 correct answer

Answer:

if two central angles of a circle (or of congruent circles) are congruent, then their intercepted arcs are congruent. (Short form: If central angles congruent, then arcs congruent.) 2. If two arcs of a circle (or of congruent circles) are congruent, then the corresponding central angles are congruent.

tell me if you need a better answer :v

Answer:

Step-by-step explanation:

You are given adjacent and you want opposite. You can use the relationship of tangent. SOHCAHTOA

tan(51) = x/15

x = 18.5

Answer:

Step-by-step explanation:

a). tan(75°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

                  = [tex]\frac{11}{k}[/tex]

    k = [tex]\frac{11}{\text{tan}(75)}[/tex]

    k = 2.947

    k = 2.95 cm

b). cos(52°) = [tex]\frac{16}{s}[/tex]

    s = [tex]\frac{16}{\text{cos}(52)}[/tex]

    s = 25.988

    s ≈ 25.99 cm

c). sin(5°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

               = [tex]\frac{16.1}{q}[/tex]

    q = [tex]\frac{16.1}{\text{sin}(5)}[/tex]

    q = 184.727

    q ≈ 184.73 cm

Answer:

0.6m²

Step-by-step explanation:

Length: 1.2 m

Width: 50cm=0.5m

Area=length×widtg