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gulaghasi [49]
3 years ago
11

5. Classify each triangle by its angle and sides

Mathematics
1 answer:
PIT_PIT [208]3 years ago
3 0

Answer:

5 is D

6 is C

Step-by-step explanation:

Define:

Equilateral - All sides and angles are congruent

Isosceles: Two congruent sides and two congruent angles

Scalene: No congruent sides or angles

Right triangle: A triangle with a right angle ( note that a right angle has a measure of 90 degrees )

obtuse triangle: A triangle with an obtuse angle ( obtuse angles have a measure of more than 90 degrees. )

Acute triangle : A triangle with an acute angle ( an acute angle has a measure of less than 90 degrees )

Answer:

the triangle shown in # 5 has a right angle and 2 congruent sides and angles

Therefore the triangle in #5 is a right isosceles

The triangle shown in #6 has an angle with a measure that is more than 90 degrees and have no congruent sides or angles therefore the triangle in #6 is an obtuse scalene.

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Identify the equation of the circle that has its center at (9, 12) and passes through the origin.
LiRa [457]

Answer:  (x-9)^2 + (y-12)^2 = 225\\\\

This is the same as writing (x-9)^2 + (x-12)^2 = 225

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

Explanation:

Any circle equation fits the template of (x-h)^2 + (y-k)^2 = r^2\\\\

The center is (9,12) which tells us the values of h and k in that exact order.

h = 9

k = 12

To find the radius r, we need to find the distance from the center (9,12) to a point on the circle. The only point we know on the circle is the origin (0,0).

Apply the distance formula to find the distance from (9,12) to (0,0)

d = \sqrt{ (x_1-x_2)^2+(y_1-y_2)^2}\\\\d = \sqrt{ (9-0)^2+(12-0)^2}\\\\d = \sqrt{ (9)^2+(12)^2}\\\\d = \sqrt{ 81+144}\\\\d = \sqrt{ 225}\\\\d = 15\\\\

The distance from (9,12) to (0,0) is 15 units. Therefore, r = 15

An alternative to finding this r value is to apply the pythagorean theorem. The distance formula is effectively a modified version of the pythagorean theorem.

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

Since h = 9, k = 12 and r = 15, we can then say:

(x-h)^2 + (y-k)^2 = r^2\\\\(x-9)^2 + (y-12)^2 = 15^2\\\\(x-9)^2 + (y-12)^2 = 225\\\\

which is the equation of this circle.

4 0
2 years ago
Is this solution true <br> 2<br> — 36+h=8,when h=4<br> 6
Crazy boy [7]

Answer:

yes

Step-by-step explanation:

8 0
3 years ago
Help!!!!!!!!!!!!!!!!!!!!!
Stells [14]

your answer is B. I believe im not 100% sure though.

7 0
3 years ago
PLSSSS HELP MEEE IM FIXING MY GRADES 2 to the power of 2 + 2(4 − 2)
Vitek1552 [10]

Answer:

8

Step-by-step explanation:

2^2+2(4-2)

4+8-4

8

Hope this helps :D

4 0
3 years ago
Read 2 more answers
What is the answer i need help 6(3+5)4
fomenos

Answer:

192

Step-by-step explanation:

6(3+5)4

3+5=8

6(8)4

6x8=48

48x4=192

4 0
2 years ago
Read 2 more answers
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