Answer:
Width: 85 yards
Length: 95 yards
Step-by-step explanation:
Ok, so we need to make an equation for this problem. Let's call the width, w. We know that the length is 10 more than the width, so we can call it w +10.
180 = w + w + 10
Now, i order to isolate the w's we need to subtract 10 from each side.
170 = 2w
Now, we just have to divide by 2 on both sides.
W = 85
So we now know that the width is 85 and because the length is 10 more, the length is 95 yds.
64, 45, 53 I think if I’m wrong don’t be mad haha
we know that
<u>Vertical angles</u> are a pair of opposite and congruent angles formed by intersecting lines.
so
Let
x1---------> angle vertical 1
x2---------> angle vertical 2
x1=x2 ------> equation 1
in this problem
if the vertical angles formed are supplementary
that means that
x1+x2=180 ------> equation 2
substitute equation 1 in equation 2
x1+x1=180
2x1=180
x1=180/2
x1=90 degrees
therefore
<u>the answer is</u>
The vertical angles are right angles
Answer:
[Vertex form]
Step-by-step explanation:
Given function:
We need to find the vertex form which is.,
where 
represents the co-ordinates of vertex.
We apply completing square method to do so.
We have
First of all we make sure that the leading co-efficient is =1.
In order to make the leading co-efficient is =1, we multiply each term with -3.
Isolating 
and 
terms on one side.
Subtracting both sides by 15.
In order to make the right side a perfect square trinomial, we will take half of the co-efficient of term, square it and add it both sides side.
square of half of the co-efficient of term = 
Adding 36 to both sides.
Since 
is a perfect square of 
, so, we can write as:
Subtracting 21 to both sides:
Dividing both sides by -3.
[Vertex form]
100. This is very easy thanks teacher
