Answer:
y=-3.667
x=
Step-by-step explanation:
-4(10y-59)+10y=86
30y+196=86
30y=-110
y=-3.667
Answer:
36
Step-by-step explanation:
it is given that there are total of 80 students
in German language there are 25 students
in French language there are 15 students
13 studying Spanish language
in German and French language there are 3 students
in French and Spanish language there are 4 students
in German and Spanish language there are 2 students
3 are studying all three languages
from the given bellow ven diagram
it is clear that the number of students that are not studying any languages are =80- (20+3+8+4+2+7)=36
Answer:
angle HMS = 62 degrees
x = 13 degrees
AT = 28
Step-by-step explanation:
angle SHM and angle HMS are both inside the triangle SMH.
We want to find the angle of HMS. We know that the sum of the angles in the triangle adds up to 180 degrees. There are two angles that we already know.
Angle SHM = 28 (given)
Angle HSM = 90 (because it is a right angle which is always 90 degrees, right angles are formed at two perpendicular lines)
Angle HMS = x (we let angle HMS be a variable as we don't know the value for it)
x + 90 + 28 = 180
x = 62 ddegrees
HMS is 62 degrees
TSA is a right angle in triangle AST because it is formed by two perpendicular lines. Right angles always equal 90 degrees.
10x - 40 = 90
10x = 130
x = 13 degrees
AT and HT are both congruent sides. We know this because the figure we are given is a kite. In a kite, we have two pairs of sides that are congruent to each other. HT is congruent to AT while HM is congruent to AM.
So,
8x - 4 = 2x + 20
Subtraact 2 x from both sides
6x - 4 = 20
Add 4 to both sides
6x = 24
Divide 6 on both sides.
x = 4
Plug x back to AT.
AT = 2(4) + 20 = 28

therefore, the sum of this infinite geometric series can be calculated using the formula
.
So, 
If 2 is the sum of this infinite series, then you'll never reach it.