Considering the slopes of the segments, the correct option is:
D. No, because the triangle ABC doesn't have a pair of perpendicular sides.
<h3>When are lines parallel, perpendicular or neither?</h3>
The slope, given by <u>change in y divided by change in x</u>, determines if the lines are parallel, perpendicular, or neither, as follows:
- If they are equal, the lines are parallel.
- If their multiplication is of -1, they are perpendicular.
- Otherwise, they are neither.
Here, we have to find if there are perpendicular segments, that is, if two slopes multiplied have a value of -1, then:
- mAB = (-7 - 9)/(11 - 1) = -8/5.
- mAC = (3 - 9)/(-9 - 1) = 3/5.
- mBC = (3 - (-7))/(-9 - 11) = -1/2.
No sides are perpendicular, hence option D is correct.
More can be learned about slopes at brainly.com/question/20847660
#SPJ1
Hey there!!
Recursive formula :
... a( n ) = a ( n - 1 ) + 7
The first term is 12
To find the second term, we will need to substitute 2 in place of ' n '
2 term :
... a( 2 ) = a ( 2 - 1 ) + 7
... a( 2 ) = a( 1 ) + 7
We know a( 1 ) = 12
... a( 2 ) = 12 + 7
... 19 is the second term and we will need to use this to find the other terms.
Hope my answer helps!
Answer:
Area of the shaded region = 1.72r²
Step-by-step explanation:
Radius of the circle = r
Length of the rectangle = 4r
Width of the rectangle = 2r
Area of the circle = πr²
Area of the rectangle = Length × Width
= 4r × 2r
= 8r²
Area of the shaded region = Area of the rectangle - 2 × Area of the circle
= 8r² - 2 × πr²
= 8r² - 2πr²
= r²(8 - 2π)
= r²(8 - 2 × 3.14)
= r²(8 - 6.28)
= 1.72r² 
Answer:
one solution
Step-by-step explanation:
<h2>
Hello!</h2>
The answers are:
A.
and 
D.
and 
<h2>
Why?</h2>
To find which of the following pairs of numbers contains like fractions, we must remember that like fractions are the fractions that share the same denominator.
We are given two fractions that are like fractions. Those fractions are:
Option A.
and 
We have that:

So, we have that the pairs of numbers
and

Share the same denominator, which is equal to 6, so, the pairs of numbers contains like fractions.
Option D.
and 
We have that:

So, we have that the pair of numbers
and

Share the same denominator, which is equal to 7, so, the pairs of numbers constains like fractions.
Also, we have that the other given options are not like fractions since both pairs of numbers do not share the same denominator.
The other options are:

and

We can see that both pairs of numbers do not share the same denominator so, they do not contain like fractions.
Hence, the answers are:
A.
and 
D.
and 
Have a nice day!