Answer:
one answer
Step-by-step explanation:
the answer is x=2
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The best and most correct answer among the choices provided by the question is <span>x = 4</span>.<span>
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Hope my answer would be a great help for you.</span>
Assuming the equation is 3x-2y+4=0 then the equation of the line, solving for y in terms of x, gives y=3/2x+2 the slope of this line is 3/2 then the slope of a line that is perpendicular is -2/3 .An easy way to see this is to draw the line. By definition the slope, m=tan(α) where α is the angle the line makes with the x axis. Let L=slope of the perpendicular line then L=tan(β) but the two lines with the x axis form a right triangle hence α+π-β=π/2 so β=π/2+α and L=tan(β)=tan(π/2+α)=-cot(α) = -1/tan(α)=-1/m.In our problem m=3/2 so L=-2/3.The geometry becomes clear if you make a sketch of the two lines. Hope this helps
Answer: It is .571
Step-by-step explanation:
The correct answer is: Option (B) m∠a = 38°, m∠b = 52°, m∠c = 90°
Explanation:
Given measure of each angle:
m∠a = (48-x)°
m∠b = (9x-38)°
m∠c = 90°
Now, as you can see, that one angle, m∠C, of the triangle ABC is 90°; therefore, we can infer that it is a right-angled triangle.
For right-angled triangle, the sum of all the angles is 180°. We can write it mathematically as:
m∠a + m∠b + m∠c = 180° --- (1)
Plug in all the measure of angles in equation (1):
(1)=> (48-x)° + (9x-38)° + 90° = 180°
Solve to find the value of x:
8x + 100° = 180°
8x = 80°
x = 10°
Now put the value of x in all individual angles to find m∠a, m∠b, and m∠c.
m∠a = (48-10)° = 38°
m∠b = (9*10-38)° = 52°
m∠c = 90°
Hence the correct answer is Option (B).
