Answer:
(9.37, 17.7) ; (14.10, 19.42); (20.8, 22.3)
Step-by-step explanation:
For the first picture :
The missing angle :
180 - (32 + 90)
180 - (122) = 58°
To obtain the length of side x:
From ptthagoras:
Tan58° = opposite / Adjacent
1.6003345 = 15 / x
x = 15 / 1.6003345
= 9.37
y = sqrt(15^2 + 9.37^2)
y = sqrt(312.7969)
y = 17.7m
2)
Missing angle :
From ptthagoras :
Sin54° = opposite / hypotenus
0.8090169 = y/ 24
y = 0.8090169 * 24
y = 19.42
x = sqrt(24^2 - 19.42^2)
x = sqrt(198.8636)
x = 14.10
3)
Sin21° = opposite / hypotenus
0.3583679 = 8 /y
y = 8 / 0.3583679
y = 22.3
x = sqrt(22.3^2 - 8^2)
x = sqrt(433.29)
x = 20.8
7(x-2) +3x=46
7x-14+3x=46
10x-14=46
10x=60
X=6
Answer:
x=29. Angle C= 93
Step-by-step explanation:
3(x+2)= 3x+6.
3x+6+52+35= 3x+93.
180-93=87.
87/3= 29. So that means x=29.
for proof you can do 3(29)+93 and you'll get 180.
For angle C; 3(29+2)= 3x31. 31x3= 93.
Angle C= 93 degrees.
Answer:
Step-by-step explanation:
because interior angles are equal with parallel lines
There are 6 other positions in the string, each with 26 choices. So if you fix BO as the first two letters, there are
possible strings that you can make.
If BO is at the end of the string, you still have
possible strings.
Together, then, you have
possible strings.
