Plz help me well mark brainliest if correct!

Given:

The figure of a right angle triangle with hypotenuse 10 and two angles [tex]45^\circ, 90^\circ[/tex]

To find:

The lengths of the legs.

Solution:

Two angles are given. By using the angle sum property, the third angle is:

Third angle = [tex]180^\circ-45^\circ- 90^\circ[/tex]

                   = [tex]45^\circ[/tex]

Base angles are equal it means the given triangle is an isosceles right triangle. So, the lengths of both legs are equal.

Let x be the lengths of both legs. Then by using Pythagoras theorem, we get

[tex]Hypotenuse^2=leg_1^2+leg_2^2[/tex]

[tex](10)^2=x^2+x^2[/tex]

[tex]100=2x^2[/tex]

[tex]\dfrac{100}{2}=x^2[/tex]

[tex]50=x^2[/tex]

Taking square root on both sides, we get

[tex]\pm \sqrt{50}=x[/tex]

[tex]\pm 5\sqrt{2}=x[/tex]

[tex]\pm 5\sqrt{2}=x[/tex]

The side length cannot be negative. So, the only value of x is [tex]5\sqrt{2}[/tex].

Therefore, the length of the both legs is [tex]5\sqrt{2}[/tex] units.

Answer:

A. Inscribed angle theorem

Step-by-step explanation:

The missing reasons in the proof are inscribed angles theorem​.

In mathematics, an arc is defined as a portion of the boundary of a circle or a curve. It can also be referred to as an open curve. The boundary of a circle is the perimeter or the distance around a circle, also known as the circumference.

Given that, a circle, with arcs AD and BC, we need to find the reason in the proof,

The reasons are inscribed angles theorem.

Inscribed angles theorem :-

The inscribed angle theorem states that an angle θ inscribed in a circle is half of the central angle 2θ that subtends the same arc on the circle. Therefore, the angle does not change as its vertex is moved to different positions on the circle.

Hence the missing reasons in the proof are inscribed angles theorem​.

Learn more about arcs, click;

https://brainly.com/question/29886215

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Answer:

The answer is in the picture below.

Step-by-step explanation:

Answer

$266.66

Step-by-step explanation:

We have here ,

We can use the formula of SI to calculate the SI . After adding it to principal we will get the amount .

⇒ SI = P × R × T / 100

⇒ SI = $ 200 × 16 × 10 / 12 × 100

⇒ SI = $ 26.66

Now Calculate amount as ,

⇒ A = SI + P

⇒ A = $ 200 + $ 26.66

⇒ A = $ 226.66

Answer: hope this helps

Step-by-step explanation:

Answer:

Hope this helped!!!

Step-by-step explanation:

Answer:

28,436,297,825

30,943,267,101

45,000,000,000

Step-by-step explanation:

ur welcome

Answer:

1500 millimeters is your answer

Answer:

What do you mean? If you are talking about the Community not always answering Questions well that means your they don't know the right Answer

the Mods are Annoying and very skeptic of the Guidelines of Brainly.

Answer:median

Step-by-step explanation: because median is used to be in the middle so those are numbers that would be in the middle, and if you add them up it would contain a high amount of number but if you subtract half you get your answer, and your Welcom!

Answer:

Pretty sure it would be b because it keeps scaling as the x axis continues with time

Answer:

I think A does not belong to the multiplication problems, because A's outcome is 2 digit while the others are 1 digit.

Step-by-step explanation:

Answer:

At the end of the month she has $578

Step-by-step explanation:

Given

[tex]Start\ balance = 600[/tex]

[tex]Deposits=50; 100; 48[/tex]

[tex]Withdrawal: 100; 20; 100[/tex]

Required

The balance at month end

Deposits simply means adding cash to the account and it has a very simple interest. So, we add .

While Withdrawal taking money out of the account. So, we subtract.

So, we have:

[tex]Month\ end = Start\ balance + Deposits + Withdrawal[/tex]

[tex]Month\ end = 600 + [50 + 100 + 48] - [100 + 20 + 100])[/tex]

[tex]Month\ end = 600 + 198 - 220])[/tex]

[tex]Month\ end = 578[/tex]

Hence, at the end of the month she has $578

Answer: It looks like a Trapezoid

Step-by-step explanation:

Answer:

trapezoid

Step-by-step explanation

there are two lines across from each toher that are parallel, but the other two lines aren't , so this has to be a trapezoid. there are also no right angles

Answer:

36°

Step-by-step explanation:

[tex]m\angle C =sin^{-1}\frac{17}{29}\\m\angle C =35.888297553\degree\\m\angle C =36\degree[/tex]

Answer:

11 books = 33 Pounds

Step-by-step explanation:

24 divided by 8 = 3 pounds per book.

3 x 11 = 33 pounds

Hope this helps

Answer:

38.5

Step-by-step explanation:

28÷8=3.5

3.5×11=38.5

Answer:

61.73 ft ^2

Step-by-step explanation:

area of rectangle

14x8 = 112

area of circle

π(4)(4) = 50.27

subtract

112-50.27 = 61.73

Answer:

31.43

Step-by-step explanation:

3 1/7 = 3.14285714285

3 1/7 x 10 = 31.4285714286 which is about 31.43

Answer:

31 [tex]\frac{3}{7}[/tex]

Step-by-step explanation:

[tex]\frac{22}{7}[/tex]×[tex]\frac{10}{1}[/tex]

[tex]\frac{220}{7}[/tex]

31 [tex]\frac{3}{7}[/tex]

Answer:

Radius = 26 yards.

Step-by-step explanation:

The complete rotation of the sprinkler makes a circle of radius R (R is the length of the stream of water).

Remember that the area of a circle of radius R is:

A = pi*R^2

where pi = 3.14

In this case, we know that the area is equal to 2,200 yd^2

Then:

A = 2,200 yd^2 = 3.14*R^2

Solving this equation we can find the value R.

(2,200 yd^2)/3.14 = R^2

√( (2,200 yd^2)/3.14) = R  = 26.47 yards.

We want to round it to the nearest yard, then we need to look at the first digit after the decimal point. It is smaller than 5, then we round down, we get:

Radius = 26 yards.

Answer:

24 2/5ft

Step-by-step explanation:

add all the sides together.

4ft x 2

3ft x 2      

10 2/5 x 1

=

24 2/5

Answer:x is a letter in music.} 3. Determine whether each set is well-defined. If it is not well-defined, explain why, ... true (e) {1, 3, 5, 7, 9) = {1, 5, 9, 3, 7) false_(f) {1,3,5, 9) = {1,3,5,9} ... Describe each of the following sets as either finite or infinite. ... 13 listened to heavy metal and alternative rock; 12 listened to rap and alternative rock;. or

x 2 - 2yZ = 7 with x = 2v + 1 and y = 2b + 1. These have solutions. (x, y; v, b) = (3, 1; 1,0), (5,3; 2,1), (13,9; 6,4),. (27,19; 13,9), (75,53; 37, 26), (157,111; 78, 55), .

Step-by-step explanation:

Answer:

I think E im not sure which other one.

Step-by-step explanation:

Answer:

A and E

Step-by-step explanation:

hope this helps and hope you get a good score on your assignment/test/quiz

Answer:

bro just search it on mathaway or calculator soup

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:j

Step-by-step explanation:

Answer:

J

Step-by-step explanation:

Answer:

6,912 i think that's the answer I'm not sure though

Step-by-step explanation:

Answer:

[tex]8,400in^2[/tex]

Step-by-step explanation:

Area of Trapezoid: [tex]A=h(\frac{b1+b2}{2} )[/tex]

Given: B1, B2 and h

B1 = 18 in

B2 = 24

h = 16 in

Substitute variables for the give numbers:

[tex]A=16(\frac{18+24}{2} )\\A = 336 in^2[/tex]

The 336 in is for one desk, and they want you to find 25 desks. So multiply 336 and 25.

[tex]x = 25(336)\\x = 8,400in^2[/tex]

Answer: The first one in the picture.

Step-by-step explanation: I got this right on Edmentum.

*There’s a picture below