You can solve using the pythagorean theorem which is
a^2+b^2=c^2 where a and b are the legs and c is the hypotenuse in a right triangle.
12^2+x^2=24^2
144+x^2=576
x^2=432
x =20.78 (approximately)
An exterior angle of a triangle is an angle formed by one side of the triangle and the extension of an adjacent side of the triangle.
FACTS:
- Every triangle has 6 exterior angles, two at each vertex.
- Notice that the "outside" angles that are "vertical" to the angles inside the triangle are NOT called exterior angles of a triangle.
1. Angles 1, 5 and 6 are inteior angles of the given triangle.
2. Angle 3 is vertical to the interior angle 5.
3. Angles 2 and 4 are exterior angles of the triangle.
Answer: correct options are A and B.
Answer:
b=-31/9
Step-by-step explanation:
m=y2-y1/x2-x1
m=3-4/-4-5
m=-1/-9
m=1/9
y=mx+b
-4=1/9+b
-4+1/9=b
-31/9=b
The answer to the problem is -5
<u>Answer:</u>
Mary simplified an expression.
is correct representation in scientific notation.
<u>Solution:</u>
Given that Mary simplified an expression and got
for answer in scientific notation.
According to Angela, answer is incorrect. Need to find reason why Angela consider
as incorrect scientific notation and find the correct answer.
Let’s understand what is scientific notation of any number.
Scientific notation is a way of representing number between 1 and 10 including 1 and excluding 10 multiplied by appropriate power of 10.
According to Mary’s simplification the number she is getting is 12.9 but in scientific notation, number must be in between 1 to 10
So
is not correct scientific notation.

Now we got 1.29 which is in between 1 and 10 multiplied by 
Hence
is correct representation in scientific notation.