Answer:
the first box
fourth box
fifth box and last box
Step-by-step explanation:
Answer:
m<A > m<B > m<C
Step-by-step explanation:
In triangles, the measure of angles is proportional with the side length's they see,
The angle with the biggest the biggest measure sees the biggest side length
in triangle ABC the side lengths are given as
BC = 14, CA = 13 and AB = 5
from this, we can conclude:
m<A > m<B > m<C
we know that
if two lines are perpendicular, then the product of their slopes is equal to minus one
so
Step 1
<u>Find the slope of the given line</u>
we have
Solve for y
Divide by both sides
the slope of the given line is
Step 2
<u>Find the slope of a line that is perpendicular to the given line</u>
we have
substitute the value of m1
therefore
<u>the answer is</u>
the slope is
The value of x is 3, while the length of the rectangle is 30 units and the width is 24 units.
<h3>How to determine the dimensions?</h3>
The given parameters are:
Base = 5(x+3)
Height = 2(x+9)
Perimeter = 108
The perimeter of a rectangle is
P = 2 *(Base + Height)
So, we have:
2 *(5(x + 3) + 2(x + 9)) = 108
Divide both sides by 2
5(x + 3) + 2(x + 9) = 54
Open the brackets
5x + 15 + 2x + 18 = 54
Evaluate the like terms
7x = 21
Divide by 7
x = 3
Substitute x = 3 in Base = 5(x+3) and Height = 2(x+9)
Base = 5(3+3) = 30
Height = 2(3+9) = 24
Hence, the value of x is 3, while the length of the rectangle is 30 units and the width is 24 units.
Read more about perimeter at:
brainly.com/question/24571594
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