<h3>
Answer: x = 12</h3>
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Work Shown:
I'm assuming the diagram shows that interior angles F and G are 24 and 12+5x respectively.
We can use the remote interior angle theorem to get:
(interior angle F)+(interior angle G) = exterior angle FEH
(24) + (12+5x) = 8x
5x+36 = 8x
36 = 8x-5x
36 = 3x
3x = 36
x = 36/3
x = 12
Lets do this step by step.
1st.) what is 15% as a decimal
15% = 0.15
2nd.) multiply
220 x 0.15 = 33
3rd) we add that 33 and 220 since this its asking for the increase
220 + 33 = 253
Answer = 253
Answer:
the integer is 5
Step-by-step explanation:
x^2+3(x+1)=43
x^2+3x+3=43
x^2+3x+(9/4)=43-3+(9/4)
(x+(3/2))^2=42 1/4
x+(3/2)=sqrt(42 1/4)
x+(3/2)=6 1/2
x=(6 1/2)-(3/2)
x=5
check:
5^2+3(6)=43
25+18=43
43=43
Answer:
= 147.1369 pi
Step-by-step explanation:
The diameter is 24.26
The radius is d/2 = 24.26/2 =12.13
The area of a circle is
A = pi r^2
= pi (12.13)^2
= 147.1369 pi
Using trigonometric ratio, the value of x is 63.6°
<h3>Trigonometric Ratio</h3>
This is the ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.
Trigonometric ratio are often coined as SOHCAHTOA
In the given triangle, we need to find the value of x using trigonomtric ratio.
Since we have the value of adjacent and hypothenuse, we definitely need to use cosine
cosθ = adjacent / hypothenuse
adjacent = 4
hypothenuse = 9
Substituting the values into the equation;
cos θ = 4 / 9
cos θ = 0.444
θ = cos⁻¹ 0.4444
θ = 63.6°
Learn more on trigonometric ratio here;
brainly.com/question/24349828
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