Answer:
43°
Step-by-step explanation:
In a isosceles triangle, two angles HAVE to be equal.
This means that 94 can be one of the angles that are equal, or the angle that is not equal to another angle.
Let's start with the fact that 94 can be one of the angles that are equal. (Note: angles in a triangle add up to 180)
94+94+x=180
188+x=180
There is NOT a possible value for x in this situation, as you cannot have a negative value of an angle. Therefore we must try the other situation where 94 is the angle that is not equal to another angle.
x+x+94=180
2x+94=180
Subtract 94 from both sides
2x=86
Divide both sides by 2
x=43
Therefore the answer is 43°
Answer:
3rd option: x= 40
Step-by-step explanation:
4x° +20°= 180° (adj. ∠s on a str. line)
<em>Bringing</em><em> </em><em>constants</em><em> </em><em>to</em><em> </em><em>1</em><em> </em><em>side</em><em>:</em>
4x°= 180° -20°
<em>Simplify</em><em>:</em>
4x°= 160°
<em>Divide</em><em> </em><em>by</em><em> </em><em>4</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>:</em>
x°= 40°
Thus, x=40.
Answer:
<em>V = 16x² </em>
<em>Width = 12in</em>
<em>Height = 12in</em>
Step-by-step explanation:
Volume of the box is expressed as;
V = Length *Width * height
Given
Length = 16in
Width = x
Height = x
The volume of the box will be expressed as;
V = 16 * x * x
<em>V = 16x² (This gives the required equation)</em>
To get x:
We are given
V = 2304in³
Substitute;
2304 = 16x²
x² = 2304/16
x² = 144
x= √144
x = 12
<em>Hence the width and the height are both 12inches since they are the same.</em>
<em></em>
For the sma
Answer:
Type A coffee in lbs = 97 lbs
Step-by-step explanation:
Type a = 4.55/lbs = x
type b = 5.70/lbs = y
Total in lbs = 147lbs
total in sales = 726.50
First,
x + y = 147 lbs -------------------equ 1
4.55x + 5.70y = lbs ------------ equ 2
<em>Multiply equ 1 by 4.55</em>
4.55x + 4.55y = 668.85 -------------equ 3
4.55x + 5.70y = 726.50 ------------equ 4
<em>Subtracting equ 3 from equ 4</em>
1.15y = 57.65
y = 50
<em>Substituting y = 50 into equ 1</em>
x + 50 = 147
x = 97
Welp. I sure hope you like the Pythagorean theorem...
Top line:
One point is (-2,-2) while the other is (3,-3)
Thus the distance in between is sqrt((3-(-2))^2+(-3-(-2))^2)=sqrt(5^2+(-1)^2)=sqrt(26)
Most right line:
One point is (4,-6) while the other is (3,-3)
Thus the distance in between is sqrt((3-4)^2+(-3-(-6))^2)=sqrt((-1)^2+3^2)=sqrt(10)
Most bottom line:
One point is (1,-6) while the other is (4,-6)
Thus the distance in between is sqrt(4-1)^2+(-6-(-6))^2)=sqrt(3^2+0^2)=sqrt(9)=3
Most bottom left line:
One point is (1,-6) while the other is (-2,-4)
Thus the distance in between is sqrt((1-(-2))^2+(-6-(-4))^2)=sqrt(3^2+(-2)^2)=sqrt(13)
Lastly the most left line:
One point is (-2,-2) while the other is (-2,-4)
Thus the distance in between is sqrt((-2-(-2))^2+(-2-(-4))^2)=sqrt(0^2+(2)^2)=sqrt(4)=2
Thus to find the perimeter, we add up all the sides to get
sqrt(26)+sqrt(10)+3+sqrt(13)+2=16.8668 or B
