Write an equation that could be used to find the value of x using the interior angles of ∆BDC, then solve it.

Answer:

(x-2)(x-10)

Step-by-step explanation:

Hope this helps :)

Answer:

4x - 90= 90

Explain:

Simplifying

(4x + -90) = 90

Reorder the terms:

(-90 + 4x) = 90

Remove parenthesis around (-90 + 4x)

-90 + 4x = 90

Solving

-90 + 4x = 90

Solving for variable 'x'.

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

Add '90' to each side of the equation.

-90 + 90 + 4x = 90 + 90

Combine like terms: -90 + 90 = 0

0 + 4x = 90 + 90

4x = 90 + 90

Combine like terms: 90 + 90 = 180

4x = 180

Divide each side by '4'.

x = 45

Simplifying

x = 45

Answer:

5/8.

Step-by-step explanation:

a^-1 = 1/a

So here we have:

(8/5)^-1

= 1/ (8/5)= 5/8.

Answer:

Step-by-step explanation:

x^2=13^2-12^2

x^2=25

x=5

(sin90)/13=(sin(90-A))/5

sin(90-A)=5/13

90-A=arcsin(5/13)

A=90-arcsin(5/13)

tan(90-arcsin(5/13))=5/y

y=5/(tan(90-arcsin(5/13))

y=25/12

z^2=(25/12)^2+5^2

z=65/12

(x,y,z)=(5, 25/12, 65/12)

Answer:

Area= l+b) ×2

6.5x+5ft +5ft

13x+20ft

Answer:

14.9cm

Step-by-step explanation:

20sin40= b

b= 14.9022

b = 14.9cm

Answer:

find the area of the rectangle in the middle....the two ends are half circles so just find the area of them put together as one circle and add the two areas together....good luck

Step-by-step explanation:

Answer:

Step-by-step explanation:

55

Answer:20

Step-by-step explanation:

Answer:huh

Step-by-step explanation:huh

The model is 28800 inches tall if the Mount Rushmore Monument is 60 feet tall. A model of the monument is sold in the gift shop.

The ratio among comparable dimensions of an object and a model with that object is known as an exponent in algebra. The replica will be larger if the scale factor is a whole number. The duplicate will be lowered if the step size is a fraction.

It is given that:

The Mount Rushmore Monument is 60 feet tall. A model of the monument is sold in the gift shop.

As we know, unit conversion can be defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.

1 feet = 12 inches

60 feet = 60x12 = 720 inches

The scale f 1 inch = 40 inches

720 inches after scale:

= 720x40

= 28800 inches

Thus, the model is 28800 inches tall if the Mount Rushmore Monument is 60 feet tall. A model of the monument is sold in the gift shop.

Learn more about the scale factor here:

brainly.com/question/22312172

#SPJ2

Answer:

166

Step-by-step explanation:

Answer:

$46.5

Step-by-step explanation:

Let X be the original price.

0.3X=13.95, X=13.95/0.3, X=46.5.

Answer:

18.135

Step-by-step explanation:

13.95×30/100=4.185

13.95+4.185=18.135

Answer:

Step-by-step explanation:

s + 40 + 60 = 180 {angle sum property}

s + 100        = 180

               s = 180 - 100

               s = 80

This figure is a cyclic quadrilateral. sum of opposite angles are 180

s + v + 60 + 10 = 180

80 + v + 60 + 10 = 180

             v + 150  = 180

                       v = 180 - 150

                      v = 30

y+ 10 + v  = 180 {angle sum property}

    y + 10 + 30 = 180

             y + 40 = 180

                   y = 180 - 40

                  y = 140

9514 1404 393

Answer:

  r = 80°, s = 80°, t = 10°, u = 60°, v = 30°

Step-by-step explanation:

Working clockwise from the left side, we can name the points on the circle as A, B, C, D. The given inscribed angles are half the measure of the arcs they intercept, so we have ...

  arc BD = 2×40° = 80°

  arc DA = 2×60° = 120°

  arc CD = 2×10° = 20°

From these measures, we can deduce the measures of the individual arcs as ...

  arc AB = 360° -BD -DA = 360° -80° -120° = 160°

  arc BC = BD -CD = 80° -20° = 60°

Then the angle measures of interest are ...

  r = AB/2 = 80°

  s = AB/2 = 80°

  t = CD/2 = 10°

  u = DA/2 = 60°

  v = BC/2 = 30°

Answer:

Step-by-step explanation:

Raheem , stuart and tommy share £594, the ratio of the amount of money raheem gets to amount of money tommy gets is 4:6. Raheem gets £108 less than tommy, how much does each person get.

Let the Amount of money

Raheem got = x

Tommy = y

Raheem gets £108 less than tommy

x = y - 108

The ratio of the amount of money raheem gets to amount of money tommy gets is 4:6.

Sum of Proportion =

4 + 6 = 10

=

Answer:

its correct don't sweat

Step-by-step explanation:

If I am right you are trying to find where the line cross each other it runs on 4 and rises to 2.

Answer:

39/22 = 1 17/22

Step-by-step explanation:

Attached below :

I hope im right!!

Answer:

#2:

To get rid of a radical we multiply the radical by itself, so we multiply [tex]\frac{3}{\sqrt{2}} by \frac{\sqrt{2}}{\sqrt{2}}[/tex]

to get [tex]\frac{3\sqrt{2}}{2}[/tex].

#3:

[tex]\sqrt\frac{2}{5}[/tex] is the same as [tex]\frac{\sqrt{2}}{\sqrt{5}}[/tex] so we multiply by [tex]\frac{\sqrt{5}}{\sqrt{5}}[/tex] so we get [tex]\frac{\sqrt{10}}{5}[/tex].

#4:

We combine like terms to get  [tex]-2\sqrt{2} + 4\sqrt{3}[/tex]

Hope this helps!

Answer:

50M

Step-by-step explanation:

The area of a trapezium = 1/2 x ( a + b) x h

a and b are the parallel sides

h = height

300sqm = 0.5 x (10 + b) x 10

divide both sides by 10

30 = 0.5 x  (10 + b)

Divide both sides by 0.5

60 =  (10 + b)

b = 60 - 10 = 50

Answer:

17 nickels

5 quarters

Step-by-step explanation:

Let n = no. of nickels

22 - n = no. of quarters

Each quarter is 25 cents and each nickel is 5 cents

5n = total amount of money in cents for the nickels

25(22 - n) = total amount of money in cents for the quarters

Since the total amount of money is $2.10 or 210 cents we have the equation

5n + 25(22 - n) = 210

5n + 550 - 25n = 210

-20n + 550 = 210

-20n = -340

n = 17 nickels

22 - n = 22 - 17 = 5 quarters

Now, you don't need to do all that I did.  I explained in detail what is going on in this problem.  All that you would need to do is write this:

let n = no. of nickels

22 - n = no. of quarters      and then write the equation and solve

5n + 25(22 - n) = 210

??                                          OK?

Answer:

1. a²⁴

2. b¹⁵ / c²⁰

3. 8x³ / 27y⁶

4. 16m¹⁰n²²

Step-by-step explanation:

Hope This Helps :)

Plz Mark Brainliest!!

Answer:

9 ppl

Step-by-step explanation:

hope this helped!!

Answer:

D!

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

-2p^2 - 35pr - 8r^2

Answer:

Move the decimal point 3 times to the left.

Step-by-step explanation:

Answer:

the radius of the circle is 5 and you find the raidus of the circle by using the formula A= (pi)r squared. then you'd divide that answer by two. :)

Step-by-step explanation:

Answer:

This statement is true.

Answer:

insufficient info

Step-by-step explanation:

as I see it neither there isn't enough info to find a answer

Answer:

4th option

Step-by-step explanation:

An inequality using > or < has a broken boundary when graphed.

An inequality using ≥ or ≤ has a solid boundary when graphed

Then y ≥ 9x + 9 has a solid boundary

Answer:

I think it is 21 employees

Step-by-step explanation:

hope I’m right :)

Answer:

down 6,right 4, rotate 180 degrees assuming we are starting from the blue heart.

Step-by-step explanation: