Answer:
see explanation
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Note ∠ Q is a right angle = 90°
Sum the angles and equate to 180
7b + 14 + 6b + 11 + 90 = 180, that is
13b + 115 = 180 ( subtract 115 from both sides )
13b = 65 ( divide both sides by 13 )
b = 5
Thus
∠ R = 6b + 11 = 6(5) + 11 = 30 + 11 = 41°
∠ S = 7b + 14 = 7(5) + 14 = 35 + 14 = 49°
∠ Q = 90°
Answer:
t ≤ 12
Step-by-step explanation:
Answer:
x=4
Step-by-step explanation:
Let's solve your equation step-by-step.
−x=2−3x+6
Step 1: Simplify both sides of the equation.
−x=2−3x+6
−x=2+−3x+6
−x=(−3x)+(2+6)(Combine Like Terms)
−x=−3x+8
−x=−3x+8
Step 2: Add 3x to both sides.
−x+3x=−3x+8+3x
2x=8
Step 3: Divide both sides by 2.
2x/2 = 8/2
x=4
Right angle: a^2 + b^2 = c^2
c = longest side which is 26
a = 10
Now plug it in to find b
10^2 + b^2 = 26^2
100 + b^2 = 676
b^2 = 576
b = squareroot of 576 = 24
Solution: 24
