Answer:
√112
Step-by-step explanation:
a^2+b^2=c^2
3^2+b^2=11^2
9+b^2=121
b^2=121-9
b^2=112
b=√112
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I assume c, because usually to get to the opposite you reflect the line or figure on the x axis
Answer:
y=4/9
Step-by-step explanation:
Substitute 2y into the x
2(2y)+5y=4
4y+5y=4
9y=4
y=4/9
Answer:
θ = 38°
Step-by-step explanation:
The lower right triangle is congruent to the upper left triangle, so we have θ and 20° being the two acute angles in the triangle. The law of sines tells you ...
sin(θ)/9 = sin(20°)/5
sin(θ) = (9/5)sin(20°)
θ = arcsin(9/5·sin(20°)) ≈ 38°
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Another solution to the triangle is θ = 180° -38° = 142°. The diagram clearly shows θ as an acute angle, so we take this second solution to be extraneous.
Answer:
x=28
Step-by-step explanation:
6(x+2)=180 Step 1: Write equation
6x+12=180 step 2: Expand the equation
6x=168 Step 3: Do 180-12 first
x=28 Step 4: Divide by 6 answer you got in Step 3
Step 5: replace 28 with x to see if it's correct 6(28+2)= 180
Put comment if answer is wrong and i will change my answer soon as possible
I hope this helps