There are 240 girls at the park. There are 360 more boys than girls at the park.How many boys are at the park?

Answer:

∠ B = 60°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

(10x - 45)° is an exterior angle of the triangle , then

10x - 45 = 3x + 4x = 7x ( subtract 7x from both sides )

3x - 45 = 0 ( add 45 to both sides )

3x = 45 ( divide both sides by 3 )

x = 15

Then

∠ B = 4x = 4 × 15 = 60°

Answer:

∡B=60°

Step-by-step explanation:

x = 15

so 4x = 60

7x + 180 - (10x-45) = 180

-3x + 225 = 180

-3x = -45

x = 15

Answer:

k=0 or k=9/10

Step-by-step explanation:

10k^2 - 10k- (-k) = - k- (-k)

10k^2-9k=0

k(10k-9)=0

k=0 or 10k-9=0

k=0 or k=9/10

Answer:k=(1/2,2/5)

Step-by-step explanation:

Opposite sides are equal in length and opposite angles are equal in measure. To find the area of a parallelogram, multiply the base by the height. The formula is: A = B * H where B is the base, H is the height, and * means multiply.

Answer:

A = 126 cm²

Step-by-step explanation:

The area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the perpendicular height )

Here b = 14 and h = 9 , then

A = 14 × 9 = 126 cm²

Answer:

See below.

Step-by-step explanation:

The formula for the volume of a sphere

= 4/3  π  r^3 where r = the radius.

So for number 1:

V = 4/3 π (5)^3

= 523 .60 mm^3   to nearest hundredth.

The others are solved in exactly the same way except where the diameter is given as in number 4 and 5 you get the radius r by dividing the diameter by 2. So in number 4,  r = 30/2 = 15.

Answer:

B) 13

Step-by-step explanation:

Average age means to calculate mean:

Mean = (Sum of all numbers)/(Number of numbers)

Mean = (14 + 14.5 + 12 + 11.5 + 15 + 13 + 10.5 + 13.5)/8

Mean = (104)/8

Mean = 13

Answer:

A triangle that has three acute angels is called an acute triangle.

Step-by-step explanation:

Answer:

I believe N = -1/10

Step-by-step explanation:

Answer:

LHS

[tex]\frac{cos x}{1+ sin x} + \frac{1+ sin x}{cos x} \\=\frac{cos2(x)+1+2sin(x)+sin2(x)}{cos(x)(1+sin(x)} \\= \frac{2+2sin(x)}{cos(x)(1+sin(x))} \\\\=\frac{2 (1 + sin(x))}{cos(x)(1+sin(x))} \\= \frac{2}{cos (x)} \\= 2 sec x[/tex]

= RHS PROVED

hope it helps :)

I believe the answer would be D.

Answer:

Answer is B . I took the quiz and got a 100.

Step-by-step explanation:

Answer:

$612

Step-by-step explanation:

Each side of the square garden is 17 meters, and fencing costs $9 per meter. "Around" is the key word, as it indicates perimeter. So, we just need to account for each side of the garden, and not the entirety of the garden. So,

17 · 9 = 153

This means that to cover one side of the garden, it would cost $153. Now, we just need to account for all sides of the garden.

153 x 4 = 612

Answer:

The answer would be 612$ to put a fence around the garden

or 153 for 17 meters

Step-by-step explanation:

I believe that it is 612 because it says sides

let me know if it is correct

Answer:

G

Step-by-step explanation:

Answer: [tex]45-48\ \text{mph}[/tex]

Step-by-step explanation:

Given

Car velocity is given by [tex]45, 46, 46, 45, 48[/tex]

The range of a given set of data is given by

[tex]\text{Range=Max-min. value}[/tex]

Maximum velocity=48

Minimum velocity=45

The Range of velocity is

[tex]\Rightarrow 48-45=3[/tex]

Velocity lies between [tex]45-48\ \text{mph}[/tex]

Answer:

Original slope: 3/4

Perpendicular slope: 4/3

Step-by-step explanation:

Find the original slope by using rise over run, then flip the original slope which finds your perpendicular slope.

Answer:

Right: Y=52

Left: X=19

Step-by-step explanation:

Answer:

X=-2

Step-by-step explanation:

4x-4=-12

Add 4 on both sides

+4 +4

4x=-8

Divide by 4 on both sides

÷4 ÷4

X=-2

Answer:

-2

Step-by-step explanation:

4x-4=-12

4x=-12+4

4x=-8

x=-8/4

x=-2

Answer:

A. 37.5

Step-by-step explanation:

Answer:

X=2.46

Step-by-step explanation:

Answer:

0.5 inches

Step-by-step explanation:

Volume of a cube = L × L × L = L³

0.125 = L³

L = ³√0.125

L = 0.5 inches

Answer:

Well,for me it's letter C.

Answer:

new salary = ₹ 14400

Step-by-step explanation:

here's your solution

==> monthly salary = ₹ 12000

==> percentage increase in salary = 20%

=> we need to find 20% of 12000

==> increased amount = ₹ 2400

==> salary of this month = 12000 + 2400

==> new salary = ₹ 14400

hope it helps

Answer:

x = -4

I hope it's helps you t

Answer:

x = -4

Step-by-step explanation:

Simplifying

6x + 6 = 3x + -6

Reorder the terms:

6 + 6x = 3x + -6

Reorder the terms:

6 + 6x = -6 + 3x

Solving

6 + 6x = -6 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

6 + 6x + -3x = -6 + 3x + -3x

Combine like terms: 6x + -3x = 3x

6 + 3x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0

6 + 3x = -6 + 0

6 + 3x = -6

Add '-6' to each side of the equation.

6 + -6 + 3x = -6 + -6

Combine like terms: 6 + -6 = 0

0 + 3x = -6 + -6

3x = -6 + -6

Combine like terms: -6 + -6 = -12

3x = -12

Divide each side by '3'.

x = -4

Answer:

1

Step-by-step explanation: