Answer:
The correct option is C
Step-by-step explanation:
I attached an image that forms the complete question.
The converse Pythagorean theorem states that, "If the square of the longest side of a triangle is equal to the square of the other two sides, then the triangle is a right triangle."
That is if c is the longest side of a triangle and then a and b are the other sides, then if,
c² = a² + b², the triangle is a right triangle.
Looking at all the options, option C fits the theorem well. Because
3² + 4² = 5² implies the triangle is a right triangle and the converse theorem is established.
The option D also looks close, but it's not correct because you can just draw any two sides and put the right angle in between them. The longest is always the part of the triangle that is opposite to the right angle, 90°. If for instance, you draw 3 and 5 then put the right angle in between them, 4 will take the position of the longest side which is wrong.
Therefore, the correct option is c.
If Two Angles in a Triangle are Equal, Then Sides Corresponding to those Angles are also Equal
From the Figure, We can Notice that ∠C = ∠B
⇒ Length of AC = Length of AB
⇒ 2x - 24 = x - 2
⇒ x = 24 - 2
⇒ x = 22
Answer:
ΔEFG ~ ΔRPQ - Angle Angle Angle Theorem
ΔEFG ~ ΔRFQ - Side Side Side Proportional Theorem
Step-by-step explanation:
First set : using triangle sum theory to find missing angle. Letters should match congruent angles when creating statement.
Second set :
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The length of the rectangle in #7 is 18 ft
I cannot see which region is shaded so I will solve for both:
1.
the radius of one circle is 3:
A=
A=(3.14)(9)
A=(28.26)
The area of the three circles is 84.78 feet squared
Area of rectangle is 108 feet squared (16*8)
108-84.78=23.22
The area of the shape around the circles is 23.22 feet squared
2:
The area of 1 circle is 28.26
The area of 3 circles is 84.78 feet squared
The area of the circles in the rectangle is 84.78 feet squared.
If the values are accurate there will be <span>84 Turkish vultures, 14 bald eagles, 28 northern goshawks, and 49 red-tailed hawks.
Jeff's observation accounted for 25 total birds. 175/25 is 7. Multiply the original values by 7 to get an estimate of the total birds in the sanctuary this year.
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