Answer:
20 months
Step-by-step explanation:
Initial difference = 500$
Monthly difference = 25$
500 / 25 = 20
Answer:
The triangle has three acute angles, so it is an acute triangle. The triangle has two congruent sides, so, it is an isosceles triangle. It is an acute isosceles triangle.
Step-by-step explanation:
Answer:
x(12x^2+18x)
Step-by-step explanation:
x(12x^2+18x)=12x^(3)+18x^2
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
2/17 + 3/7(3x - 5) = -4
2/17 + 9/7x - 15/7 = -4...multiply by LCD of 119 to get rid of fractions
14 + 153x - 255 = - 476
-241 + 153x = -476
153x = -476 + 241
153x = - 235
x = -235/153