Answer:
Step-by-step explanation:
we know hat
<u><em>Vertical Angles</em></u> are the angles opposite each other when two lines cross. They are always congruent.
In this problem
----> by vertical angles
we have
---> given problem
therefore
Step-by-step explanation:
The given inequality is
Subtract 10 from both sides
Divide both sides by 5 to get:
We draw a closed circle at 5 and draw the arrow to the left.
See it in the attachment.
Answer:
K = 10
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp/ hyp
sin K = 11 / 61
Taking the inverse sin of each side
sin ^-1 ( sin K) = sin ^-1 (11/61)
K =10.38885782
K = 10
Answer:
<h2>length = 159 yards</h2><h2>width = 42 yards</h2>
Step-by-step explanation:
Perimeter of a rectangle = 2l + 2w
where
l is the length
w is the width
From the question
Perimeter = 402 yards
The statement
the length of the field is 9 yards less than quadruple the width is written as
l = 4w - 9
Substitute this is expression into the above formula and solve for the width
That's
402 = 2( 4w - 9) + 2w
402 = 8w - 18 + 2w
10w = 402 + 18
10w = 420
Divide both sides by 10
<h3>w = 42</h3>
Substitute this value into l = 4w - 9
That's
l = 4(42) - 9
l = 168 - 9
<h3>l = 159</h3>
Therefore
length = 159 yards
width = 42 yards
Hope this helps you
