Answer:
x = 20
Step-by-step explanation:
x° + 2x° + (x+10)° = 90°
3x° + x° + 10° = 90°
4x° + 10° = 90°
4x° = 90°-10°
4x° = 80°
x = 80/4
x = 20
Answer:
3/25
More right handed
3/25 ≤ 22/25
Step-by-step explanation:
There are more right handed people because 88% of them are right handed.
12/100 = 3/25
Answer:
Step-by-step explanation:
step a system of two equations c = child ticket a = adult ticket
eq 1) 2c + 1a = 8.2 multiply by 2
eq 2) 3c + 2a = 14.1
I will multiply eq 1 times TWO and subtract eq 2 from eq 1a)
eq 1a) 4c + 2a = 16.4
eq 2) 3c + 2a = 14.1
subtract (4c - 3c) + (2a -2a) = 16.4 - 14.1
c + 0 = 2.3 euros for one child ticket
Now find the adult ticket price, plug 2.3 for c into eq 1)
eq 1) 2c + 1a = 8.2
eq 1) 2(2.3) + 1a = 8.2 solve for a
4.6 + a = 8.2 substract 4.6 from both sides
a = 8.2 - 4.6
= 3.6 euros for one adult ticket
double check using eq 2) we know c and a values
eq 2) 3c + 2a = 14.1
eq 2) 3(2.3) + 2(3.6) = 14.1
6.9 + 7.2 = 14.1
14.1 = 14.1
Answer:
78.64 feet
Step-by-step explanation:
Refer the attached figure
Height of the tall building = AC
The angle of depression from the top of one building to the foot of a building across the street is 53°. i.e.∠ADC = 53°
The angle of depression to the top of the same building is 19°.i.e.∠AEB = 19°
Height of small building = ED
The two buildings are 80 feet apart i.e. CD =BE= 80 feet
In ΔABC
In ΔABE
AC - AB = BC
106.16-27.52=BC
78.64=BC
So, BC = ED = 78.64 feet
Hence the height of the shorter building is 78.64 feet