I think the answer is solution
Answer:
1). x = 81
2). x = 84
Step-by-step explanation:
1). By applying geometric mean theorem in the given triangle,

56x = (18√14)²
56x = 4536
x = 
x = 81
2). By applying geometric mean theorem,

16x = (8√21)²
16x = 1344
x = 
x = 84
Answer: Bajo del Gualicho has a higher elevation than Lago Enriquillo.
Step-by-step explanation:
Since in this case the "elevations" are negative because are under sea level, we can call it depth.
In this sense, we are given the "elevations" or depths of two places:
Bajo del Gualicho: -72 m
Lago Enriquillo: -46 m
Keeping in mind we are actually talking about the depth of this places, we can say Bajo del Gualicho is deeper than Lago Enriquillo, and this is best expressed with the following inequality:

Where
represents Bajo del Gualicho and
represents Lago Enriquillo.
Hey there, Bulgogi!
The correct answer will be the first one since [I'm assuming] you know that to calculate the percentage of something, it's the amount of that something divided by the total amount but since only 30 students voted [12+18] multiplied by 100.
So, we are calculating the percentage on votes and 12 students voted for Candidate A so our Numerator will be 12 and our Denominator will be the total amount of student who voted, so 30 [or 12+18]
Once put into a fraction, we will get

which would be equals to 2/5 or 0.4. Now we multiply by 100 and we get a total of 40% for Candidate A.
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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