Answer:
The first one
Step-by-step explanation:
Answer: 50
Step-by-step explanation:
Answer:
1) AD=BC(corresponding parts of congruent triangles)
2)The value of x and y are 65 ° and 77.5° respectively
Step-by-step explanation:
1)
Given : AD||BC
AC bisects BD
So, AE=EC and BE=ED
We need to prove AD = BC
In ΔAED and ΔBEC
AE=EC (Given)
( Vertically opposite angles)
BE=ED (Given)
So, ΔAED ≅ ΔBEC (By SAS)
So, AD=BC(corresponding parts of congruent triangles)
Hence Proved
2)
Refer the attached figure

In ΔDBC
BC=DC (Given)
So,
(Opposite angles of equal sides are equal)
So,
So,
(Angle sum property)
x+x+50=180
2x+50=180
2x=130
x=65
So,
Now,

So,
In ΔABD
AB = BD (Given)
So,
(Opposite angles of equal sides are equal)
So,
So,
(Angle Sum property)
y+y+25=180
2y=180-25
2y=155
y=77.5
So, The value of x and y are 65 ° and 77.5° respectively
GIVEN:

remember:

And

SOLVE:
start by multiplying the factors:

simplify by combing like terms. Most terms subtract off, leaving:

This can be factored, but it is not a perfect square, which is really what we need to take the square root.

I'm not exactly sure what form they want the answer in...
so taking the square root:

so my best answer is:

or the more factored form:

I'm not sure how else to solve it. Taking the square root doesn't work out super well, so I left it in the most simple form I could.
sorry for not coming to a definitive answer!
Answer:
f(7) = 6
Step-by-step explanation:
f(7) is the y coordinate of the point on the given graph of y = f(x), whose x coordinate is 7.
From the graph of y = f(x), we see that f(7) = 6.