Please help me thank you! <3!
I really need help :/
I WILL GIVE BRAINLIEST
question:
1. Use the Pythagorean theorem to find AD.
2. Find AC. Show your work.
3. Is ΔABC a right triangle? Explain.
SHOW YOUR WORK

Problem 1

Answer: AD = 9

-------------------------------------------------

Work Shown:

Focus on triangle ADB, which is the smaller triangle on the left.

We have these side lengths

AD = unknown leg

BD = 12 = known leg

AB = 15 = known hypotenuse

Let's apply the Pythagorean Theorem to find the unknown leg

a^2 + b^2 = c^2

(AD)^2 + (BD)^2 = (AB)^2

(AD)^2 + (12)^2 = (15)^2

(AD)^2 + 144 = 225

(AD)^2 = 225-144

(AD)^2 = 81

AD = sqrt(81)

AD = 9

Side AD is 9 units long.

========================================================

Problem 2

Answer: AC = 25

-------------------------------------------------

Work Shown:

AC = AD + DC .... segment addition postulate

AC = 9 + 16 ..... substitution; refer to problem 1

AC = 25

========================================================

Problem 3

Answer: Triangle ABC is a right triangle.

-------------------------------------------------

Work Shown:

The Pythagorean Theorem Converse says "if a^2+b^2 = c^2 is a true equation, then the triangle with sides a,b,c is a right triangle". Keep in mind that c is always the longest side (hypotenuse). The order of 'a' and b doesn't matter. Convention has us usually do [tex]a \le b[/tex] but again the order isn't important.

We have these three sides

Plug those values into the equation below. Simplify each side.

a^2+b^2 = c^2

15^2 + 20^2 = 25^2

225 + 400 = 625

625 = 625

We get a true equation. Therefore, triangle ABC is a right triangle.

Answer:

Step-by-step explanation:

Pythagorean = c^2 =a^2 + b^2

we are given c and a   so solve for b

c^-a^2 = b^2

15^2- 12^ = b^2

81= b^2

[tex]\sqrt{81}[/tex]=b

9=b

AD=b

AC = AD + 16

AC =9 + 16 =25

if it's a right triangle then Pythagorean will work with the sides to make 25

AC^2 = 15^2+20^2

AC = [tex]\sqrt{625}[/tex]

AC = 25

help I don't understand so right answer please

solve for h
h=what
5 - 8h = 21

Help please I added the number line.

David divides his allowance equally over 5 days. Each day he has $4 to spend. How much is David’s allowance?

Simplify the expression: 2(5r + 8) - 4

Please help
can u answer this in picture form?

Nancy is replacing the mat on her trampoline. The circular mat has a diameter of 18 feet. what is the area of the trampoline mat to the nearest square foot?


Someone please help me <3 :( :)

What number is equivalent to 2.34 x 1.08 x 5.6?

A bag of chocolates is labeled to contain 0.384 lbs. The actual weight of the chocolates is 0.3798 lbs.

The net below shows the dimensions of Michelle’s living room. She is going to put wallpaper on the living room walls.
What is the difference, in square yards, between the total and lateral surface areas of the room?
Answer this, please

please answer right ill give brainliest to the right answerrrrrrr

helppppppppp;pppp]ppp

A bag of nuts weighs 3 ounces and costs 50 cents. What is the unit price? Round to the nearest cent.
50 ÷ _____ = _____-
per ounce

Photo below; Giving brainliest!

Pls help due in an hour

On a coordinate plane, lockers is 5 units to the left and 3.5 units up. Water fountain is 2.5 units to the left and 3 units up. Bleachers is 1.5 units to the right and 2 units up. Exit is 3 units to the left and 2.5 units down. Court is 2.5 units down. Office is 3.5 units to the right and 5 units down.
This coordinate plane shows the floor plan of the gym at Sunnydale High School. What is located at (–2.5, 3.0)?
bleachers
exit
lockers
water fountain

Students in a political science course were asked to describe their politics as "Liberal", "Moderate", or "Conservative." Here are the results: Politics Liberal Moderate Conservative Total Female 40 34 14 88 Male 48 50 26 124 Total 88 84 40 212 Given that the student is male what is the probability that he considers himself to be a "Liberal"? Round your answer to three decimal places if necessary. a. 0.226 c. 0.387 b. 0.415 d. 0.455 Please select the best answer from the choices provided A B C D

Please help with this

Car survey
In a survey of 3,200 people who owned a certain type of car 2,080 said they would buy that type o& car again. What percent of the people surveyed were satisfied with the car?

15 points

Which statements are true about the ordered pair (7, 19) and the system of equations?

{2x−y=−5 x+3y=22


Select each correct answer.


The ordered pair (7, 19) is a solution to the first equation because it makes the first equation true.

The ordered pair (7, 19) is a solution to the second equation because it makes the second equation true.

The ordered pair (7, 19) is not a solution to the system because it makes at least one of the equations false.

The ordered pair (7, 19) is a solution to the system because it makes both equations true.

:D hiiii im back with another most likely easy questionnnnnnnnnnnnnnnnnnnnnn

What is the variable equal to?
6x = 24
Group of answer choices

x = 5

x = 3

x = 144

x = 4

The vertices of a triangle are listed below:

E(-1, 2), F(-5, -1), G(-1, -4)

What is the area of the triangle?

In a museum there is a sculpture in the shape of a cylinder. The cylinder has a diameter of 18 feet and a height of h feet. Which equation can be used to find V, the volume of the cylinder in cubic feet?

V = π(9)2h

V =π (9h ) 2

V = π(18)2h

V = π(18h) 2

I need to find the area, what is it?

What is the ratio of green stars to red stars?

I need help!
You don’t have to.

PLEASE HELP FAST FAST FAST
Use the interactive number line to graph the inequality -1 ≥ x.

Y'all help, it's due at 12 ;-;

The owner of a small store buys coats for $55.00 each answer part a and d