Answer:
x = 113
Step-by-step explanation:
Since the shape is a quadrilateral, the angles add up to 360 so:
x + 87 + 113 + 47 = 360
x + 247 = 360
x = 360 - 247
x = 113
Hi!
Now I can answer.
I used systems of equations That is how I solved it. Always remember to check your answer by plugging it back into the word problem. If you aren't comfortable with systems of equations then find some help in this area.
(.85x)1.25=y new line
x + 10=y new line
x=y-10 new line
(.85(y-10))1.25=y new line
(.85y-8.5)1.25=y new line
1.0625y-10.625=y new line
.0625y=10.625 new line
y=170 new line
x=160
Hope this helps!!
<h2><em>
~~PicklePoppers~~</em></h2>
Answer:
108 th term is zero
Step-by-step explanation:
The nth term of an AP is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₉ = 99 and a₉₉ = 9 then
a₁ + 8d = 99 → (1)
a₁ + 98d = 9 → (2)
Subtract (1) from (2) term by term to eliminate a₁
0 + 90d = - 90
90d = - 90 ( divide both sides by 90 )
d = - 1
Substitute d = - 1 into (1) for value of a₁
a₁ + 8(- 1) = 99
a₁ - 8 = 99 ( add 8 to both sides )
a₁ = 107
Then
107 - (n - 1) = 0
107 - n + 1 = 0
- n + 108 = 0 ( subtract 108 from both sides )
- n = - 108 ( multiply both sides by - 1 )
n = 108
The 108th term is zero
Take out the 3 , to make the vertex form easier;)
Answer:
Great use of desmos! But since one line doesn't touch the x- axis it would have to be +infinity. the other line does touch at (0,0) so the x would be 0. This is a question that you should ask your teacher about for sure.
Sorry I cant be more help!