Three straight lines are shown in the diagram. Work out the sizes of angles a,b and c.

15 points to whoever gets this by the way.

Answer:

the answer is 5 + x

Step-by-step explanation:

The reason is because since you do not know the age of sam you cant put a number infront of x. So you just add 5 + x

Answer:

Your answer is B, the second one.

Step-by-step explanation:

Answer:

x = 30

Step-by-step explanation:

Supplementary angles sum to 180° , then

2x + 10 + 3x + 20 = 180 , that is

5x + 30 = 180 ( subtract 30 from both sides )

5x = 150 ( divide both sides by 5 )

x = 30

Answer:

64.8 inches, 1.8 feet

Step-by-step explanation:

5.4*12=64.8

5.4/3=1.8

Answer:

Inches: 64.8, Yards: 1.8

Step-by-step explanation:

To get inches you multiply 5.4 by 12 and you get 64.8. To get yards you divide 5.4 by 3 and you get 1.8.

Answer:

$144

Step-by-step explanation:

Use the simple interest formula, I = prt, where I is the interest money created, p is the starting amount, r is the interest rate as a decimal, and t is the amount of time.

Plug in the original amount, interest amount, and amount of time:

I = prt

I = 450(0.08)(4)

I = 144

So, $144 in simple interest is made in 4 years

Answer: 3x/6=4

Step-by-step explanation:

3x/6 = 4

multiply 6 on both sides to remove fraction.

3x=24

x=8

Answer:

1+b/a

Step-by-step explanation:

To find the amount of a/b we have to solve the equation

(a+b)/a

a/a+b/a

a/a is one so

1+b/a

Answer:

226.2 in³ and 452.4 in³

Step-by-step explanation:

Volume of original shape:

Volume = base area x height
Volume = πr² x 2
Volume = π(6)² x 2
Volume = 113.10 x 2
Volume = 226.2 in³

Volume with same radius but double the height:

Volume = base area x height
Volume =  πr² x 2(2) ----------> multiplied by 2 because height is being doubled
Volume = 113.10 x 4
Volume = 452.4 in³

Answer:

The other part is 27 in. long

Step-by-step explanation:

1 ft is 12 in

2 ft are 24 in

4 ft are 48 in

48 in - 21 in = 27 in

Answer:

Part A

Green rope = 4 ft

As 1 ft = 12 in

Then 4 ft = 4 × 12 in = 48 in

Antonia cuts the green rope into 2 pieces.  One of the pieces is 21 in long.  To find the length of the unknown piece, subtract the length of the known piece from the total length:

length of unknown piece = 48 - 21

                                           = 27 in

Part B

Blue rope = 2 yd

1 yd = 36 in

Therefore, 2 yd = 2 × 36 = 72 in

Antonia wants to cut the rope into MORE than 3 pieces, and all the pieces need to be of equal length.  As the length of the rope is an even number of inches, Antonia could first cut the rope in half, so she would have 2 pieces each of 36 in in length.  Then she could cut both of those lengths in half, so she would have 4 pieces each of 18 in in length.

Answer:

132

Step-by-step explanation:

Answer:

[tex]x+7; x+5; 27; 25[/tex]

Step-by-step explanation:

First of all, we need to write [tex]x^2+12x+35[/tex] as a product. The easiest way is to find a pair of numbers whose product is 35 and sum is 12. Looking at the product, you notice it's 7 and 5, which added together indeed give 12.

The two side length are thus [tex]x+7[/tex] and [tex]x+5[/tex].

In the specific case, when [tex]x=20[/tex] the two sides measures 27 and 25.

Answer:

if you want an item that is 100 dollars of then you would like the precent of because 1-100 percent is 1-100 so the larger the number the more you would want the percent but if it is 10% or 5 dollars of on an item of 10 dollars then the dollars of would be better so the higher the number the more you want percentage.

It would take Jenna half an hour, or 30 minutes, to run 3 km.

Hope this helps!

Answer:

475.019

Step-by-step explanation:

I hope this helps! Have a lovely day!! :)

Answer:

you mean

2x-8y=12

8y=2x-12

y=(1/4)x-(3/2)

so intercept is-3/2

Answers:

Side note: The double arrow over WY and XV in statement 5 is supposed to be an unbroken line.

Answer:

Less than

Step-by-step explanation:

One quart is .25 of a gallon

5.76 KG as 180 x 0.032 (3.2 percent) = 5.76

Answer:

As Per Provided Information

We have been asked to determine the volume of triangular Prism . Volume of Triangular Prism is calculated by using the following formula

[tex] \bf \: Volume_{(Triangular~Prism)} = \cfrac{1}{2} \times b \: \times h \times l [/tex]

Substitute the given value and let's calculate the volume of cabinet .

[tex] \sf \: \longrightarrow Volume_{(Triangular~Prism)} \: = \cfrac{1}{2} \times 14 \times 22 \times 67.5 \: \: \\ \\ \sf \: \longrightarrow Volume_{(Triangular~Prism)} \: = \frac{1}{ \cancel2} \times \cancel14 \times 22 \times 67.5 \: \: \\ \\ \\ \sf \: \longrightarrow Volume_{(Triangular~Prism)} \: = 7 \times 22 \times 67.5 \: \: \\ \\ \\ \sf \: \longrightarrow Volume_{(Triangular~Prism)} \: = \: 154 \times 67.5 \: \: \\ \\ \\ \sf \: \longrightarrow Volume_{(Triangular~Prism)} \: = 10395 {cm}^{3} [/tex]

Therefore,

Answer:

f(2.5) = 16.5

Step-by-step explanation:

To evaluate f(2.5), substitute x = 2.5 into f(x) , that is

f(2.5) = 6(2.5) + 1.5 = 15 + 1.5 = 16.5

Answer:

600 and 1200

Step-by-step explanation:

I don't know to this problem sorry

Answer:

The baby's rectangular room is 14 feet long and 12 feet wide

Step-by-step explanation:

Assume we set:

x=width of the room

y=length of the room

The width of the room is 2 feet less than the length:

[tex]x=y-2\qquad\qquad [1][/tex]

The total length of the wallpaper needed is the perimeter of the room. The formula for the perimeter of a rectangle is:

P=2x+2y

And the perimeter is equal to 52 feet:

2x+2y=52

Dividing by 2:

[tex]x+y=26\qquad\qquad [2][/tex]

Substituting x from [1]:

y-2+y=26

Simplifying:

2y-2=26

Adding 2:

2y=28

Solving:

y=28/2=14

y=14

Find x:

x=y-2=14-2=12

The baby's rectangular room is 14 feet long and 12 feet wide

Answer: 9,28

4,22

Step-by-step explanation:

Answer:

Step-by-step explanation:

If one half-life of U-236 is 23 million years then it will take 45.5 or approximately 46 million years to decay. Then the correct option is A.

Half-life is the time interval that is needed to decay the atomic nuclei of a radioactive sample.

A sample contains 16.75 g of the radioisotope U-236 and 50.25 g of its daughter isotope, Th-232.

Initially, the whole sample is consisting the radioisotope. Then the initial total mass will be

m₀ = 16.75 + 50.25

m₀ = 67 g

Now we also know that the half-life is 23 million years. Then we have

[tex]m = m_oe^{- \lambda t}[/tex]

Then put the value

[tex]\begin{aligned} 16.75 &= 67 e^{- \lambda t}\\\\0.254 &= e^{- \lambda t}\\\\\lambda t &= 1.37\\\\\dfrac{ln2}{23 \rm \ million \ years } \times t &= 1.37\\\\t &= 45.5 \ \rm million\ years \end{aligned}[/tex]

If one half-life of U-236 is 23 million years then it will take 45.5 or approximately 46 million years to decay. Then the correct option is A.

More about the half-life link is given below.

https://brainly.com/question/24710827

Answer:

a. 46 million years

Step-by-step explanation:

Answer:

2x+8

Step-by-step explanation:

Since the two lines are crossing each other, angles on one side should be equal to the angle directly opposite them.

Answer:

Rip dude XD Ur gonna die

Answer:

Step-by-step explanation:

pitch=4/12=1/3

The finance charge on Rachel's loan if she takes all 36 months to pay it off is $1730.16.

The amount of personal loan = $4500

Monthly payment =$173

Loan tenure = 36 months

The total amount that Rachel will pay for 36 months = 36*173.06

The total amount that Rachel will pay for 36 months = $6230.16

A finance charge refers to any cost related to borrowing money, obtaining credit, or paying off loan obligations.

The finance charge on Rachel's loan if she takes all 36 months to pay it off  = The total amount that Rachel will pay till 36 months - Amount of personal loan

The finance charge on Rachel's loan = 6230.16-4500 = $1730.16

Therefore, The finance charge on Rachel's loan if she takes all 36 months to pay it off is $1730.16.

To get more about monthly payments visit:

https://brainly.com/question/2151013

Answer:

Step-by-step explanation:

The missing factor has the form (x - a).  The given factor is (x - 7).  The product (a)(-7) must be -42, and therefore the missing factor is (x + 6)