Answer:
c = 85 yd
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is
c² = 77² + 36² = 5929 + 1296 = 7225 ( take square root of both sides )
c = 
= 85
Answer:
a = 70°
b = 80°
Step-by-step explanation:
Angles on a straight line add up to 180°
⇒ a + 110 = 180
⇒ a = 180 - 110
⇒ a = 70°
The sum of the interior angles of a quadrilateral is 360°
⇒ a + b + 130 + 80 = 360
⇒ 70 + b + 130 + 80 = 360
⇒ b + 280 = 360
⇒ b = 360 - 280
⇒ b = 80°
Answer:
24
Step-by-step explanation:
4n-2n+4=-1+17
2n+4=-1+17
-1+17=16
2n+4=16
Move + 4 to the other side. Sign changes from +4 to -4
2n+4-4=16-4
2n=12
Divide by 2 for 2n and 12
2n/2=12/2
n=6
Check answer by using substitution method
4(6)-2(6)+4=16
24-12+4=16
12+4=16
16=16
Answer : n=6
Answer:
n = 45
Step-by-step explanation:
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
2+2*(4+3)+4+4*n-(200)=0
Step 1 :
Pulling out like terms :
-180 + 4n = 4 • (n - 45)
Equation at the end of step 1 :
Step 2 :
Equations which are never true :
2.1 Solve : 4 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation :
2.2 Solve : n-45 = 0
Add 45 to both sides of the equation :
n = 45
One solution was found :
n = 45
Processing ends successfully
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