4. In the figure below, what is the value of x?
130°
(x + 15)

Answer: Yes, the triangles are similar.

The triangles are similar due to the AAA similarity theorem.

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Explanation:

Recall that for any triangle, the three inside angles must add to 180 degrees.

So for triangle ABC, this means that

A+B+C = 180

40+120+C = 180

160+C = 180

C = 180-160

C = 20

Similarly, we can find angle T by following these steps

R+S+T = 180

20+120+T = 180

140+T = 180

T = 180-140

T = 40

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To summarize, we found angle C to be 20 degrees, and angle T is 40 degrees.

Now note these angle pairings in which they are the same measure

We have three pairs of corresponding angles that are congruent. By the AAA (angle angle angle) similarity theorem, this proves the triangles are similar. We can say triangle ABC is similar to triangle TSR. The order is important so we know how the angles pair up. For instance, A and T are the first letters of ABC and TSR respectively, helping us see that A and T pair up together.

Technically the minimum amount we need is only two pairs of corresponding angles, so some math textbooks use AA instead of AAA. It's the same idea though.

Unfortunately we don't have enough information to prove the triangles congruent or not. We would need to know some information about a pair of sides. Specifically, if we had one pair of congruent sides, then we could use either ASA or AAS.

Answer:

6188

Step-by-step explanation:

Answer: 6188

Step-by-step explanation:

Answer: 0.9 is the same as 9 tenths

0.009 is the same as 9 thousandths

Answer:

Acct A      $96.80

Acct B      $48.40

Step-by-step explanation:

I = PRT

Acct A      I = 1000(.0242)(4)

                  = $96.80

Acct B      I = 1000(.0242)2)

                  = $48.40

Answer:

Do you think it's 60 feet^2

Step-by-step explanation:

Was it correct??

Answer:

$4720

Step-by-step explanation:

Simple Interest

A=P(1+in)

A- Accumulated Amount

P- Principal Amount

i- Interest (÷100)

n- Number Of Years

A=P(1+in)

A=4000(1+0.06×3)

A=4000(1.18)

.°.A=$4720

Answer:

x = 48

Step-by-step explanation:

solved it just now-

Answer:

12.43 and 11.65

Answer:

12.43

11.65

12.05

Step-by-step explanation:

if a number ends in .5 or more ex:12 it will round up. if a number ends in anything smaller than that it rounds down

Answer:

300 dollars is your answer

Answer:

300$

Step-by-step explanation:

400 - 100 = 300 dollars

Answer:  3

Step-by-step explanation:

Answer:

6 mangoes

38p in return

Step-by-step explanation:

Answer:

a is your answer!!

Step-by-step explanation:

Hope this Helps!!!

Answer:

The answer is B (4,10).

Step-by-step explanation:

Answer:

(2-3)

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

1. The area of a circle is given by the formula ...

  A = πr² . . . . . where r is the radius

The radius is shown as 6 cm, so the area is ...

  A = (3.14)(6 cm)² = 113.0 cm²

__

2. The radius is shown as 28 in. We note that this is a number divisible by 7, so we choose 22/7 for π.

  A = (22/7)(28 in)² = 2464 in² . . . . see comment

__

3. The radius is half the diameter, so is 11/2 = 5.5 ft. Then the area is ...

  A = (3.14)(5.5 ft)² = 95.0 ft²

_____

Additional comment

If you use a more exact value of π for problem 2, the area is 2463.0 in². If you use 3.14 as the value of π, the area rounds to 2461.8 in². For these values of pi (3.14 or 22/7), the answer is only good to about 3 significant digits. 2464 has more significant digits, so digits beyond the first 3 may be in error.

Answer:C

Step-by-step explanation:

C. 2/3 cm/s

Answer:

If you don't try yes

Step-by-step explanation:

Answer:

im not sure but you should try your best

Explanation:

Answer:

-8

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

The computation is shown below:

Here we applied the pythagoras theroem

Given that

Diagonal of 18.4 feet

Width of 7 feet

So, the area would be

= 18.4^2 - 7^2

= 17

Answer:

5(6+2x)

Step-by-step explanation:

Answer:

total volume = (1150/3)pi cm^3

approximate total volume = 1204 cm^3

Step-by-step explanation:

The compound solid looks like it's made up of a cylinder with a base with 10 cm diameter and height of 12 cm and a half sphere with radius 10 cm.

volume of cylinder: (pi)(r^2)h

volume of sphere: (4/3)(pi)r^3

total volume = (pi)(r^2)h + (1/2)(4/3)(pi)r^3

We are given a diameter of 10 cm, so the radius is 5 cm since r = d/2.

total volume = (pi)[(5 cm)^2](12 cm) + (2/3)(pi)(5 cm)^3

total volume = 300pi cm^3 + (250/3)pi cm^3

exact total volume = (1150/3)pi cm^3

approximate total volume = 1204 cm^3

Answer:

a)3/7

b)25%

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

Answer:

Not a function

Step-by-step explanation:

To answer this, we first need to know what a function actually is: A function is a relation between 2 sets which relates the element of the first set to only one element of the second set.

We can see in the provided image that the value -9 is related to 2 values of the second set, hence it is NOT a set.

Another way to think about it is that a function takes an input and gives only one output (where the left set is the input and the right set is the output). Since -9 gives 2 outputs from the given relation, it cannot be a function.

Answer:

The cirumference would be 78.5.

24*pi would equal 75.5398163397 so just round that.

Hope this helped

Answer:

a. 24x + 24

Step-by-step explanation:

Given

6(5x + 4) - 6x

= 30x + 24 - 6x

= 24x + 24

Hope it will help :)❤