So, if written as an expression:
4(x+3)=16
Now, all you have to do is rewrite for x
x+3 = 4
Subtract 3 from both sides
x = 4-3
x = 1
Hope this helps!
Answer:
x=1.816298 or x=−1.162524
Step-by-step explanation:
Step 1: Multiply both sides by x^2.
x2=x4−3x3+8x2−16
x2−(x4−3x3+8x2−16)=x4−3x3+8x2−16−(x4−3x3+8x2−16)(Subtract x^4-3x^3+8x^2-16 from both sides)
−x4+3x3−7x2+16=0
(Use quartic formula)
x=−1.162524,1.816298
Check answers. (Plug them in to make sure they work.)
x=1.816298(Works in original equation)
x=−1.162524(Works in original equation)
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You first wanna find <BAD, because if AB is perpendicular to AC, then it has to form a 90 degree angle. So 90-56=34 degrees. So now you have a 34 & 63 degrees in the ABD triangle. In a triangle, all angles add up to equal 180 degrees. So 34+63+x=180...and x=83. So <ADB= 83 degrees. Now you want to find angle ADC...which you can just subtract 83 from 180 (because <ADB & <ADC forms 180 degree angle). You will then get 97 as angle ADC. So, the same thing as before, add up 56+97+x=180, because all angles (in the triangle ADC) add up to be 180 degrees. X will then equal 27 degrees. Angle ACB= 27 degrees.