Answer:
x = 58°
Step-by-step explanation:
First, we need to find the green angle on the bottom left of the triangle.
We know that straight lines are supplementary, or equal 180 degrees, so we can say that 114° + a (a variable representing the measure of the angle) = 180°.
Equation:
114 + a = 180
Solve:
114 + a = 180
-114 -114
a = 66
Therefore, the value of the green angle is 66 degrees.
Now, we need to find the value of angle x.
We know that the sum of the angles in a triangle is 180 degrees.
So, 56° + 66° + x = 180°
Equation:
56 + 66 + x = 180
Add:
56 + 66 + x = 180
122 + x = 180
Subtract:
122 + x = 180
-122 -122
x = 58
Therefore, x is 58 degrees.
See the attached image for the drawings of the 45-45-90 triangle and the 30-60-90 triangle.
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For the 45-45-90 triangle, the two legs are both 3 while the hypotenuse is unknown. Call it x for now.
Using trig we can say
sin(angle) = opposite/hypotenuse
sin(A) = BC/AC
sin(45) = 3/x
sqrt(2)/2 = 3/x
sqrt(2)*x = 2*3
sqrt(2)*x = 6
x = 6/sqrt(2)
x = (6/sqrt(2))*(sqrt(2)/sqrt(2))
x = (6*sqrt(2)/(sqrt(2)*sqrt(2))
x = (6*sqrt(2)/(2)
x = 3*sqrt(2)where "sqrt" is shorthand for "square root"
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For the 30-60-90 triangle, we can say
cos(angle) = adjacent/hypotenuse
cos(D) = DE/FD
cos(60) = 4/y
1/2 = 4/y
1*y = 4*2
y = 8and we can also say
sin(angle) = opposite/hypotenuse
sin(D) = EF/FD
sin(60) = z/y
sin(60) = z/8
8*sin(60) = z
z = 8*sin(60)
z = 8*sqrt(3)/2
z = (8/2)*sqrt(3)
z = 4*sqrt(3)
Answer:
a)4
Step-by-step explanation:
(a+b)²=43 eqn 1
(a²+b²)=35 eqn 2
solving eqn 2 by putting the value of (a+b)² by eqn 1
- (a+b)²-2ab=35
- 43-2ab=35
- -2ab=35-43
- ab= -8/-2
- ab =4
hope it helps
<h2>stay safe healthy and happy.</h2>
Nicole used only a fraction of her ribbon to wrap the present
the length of ribbon she used is 6 feeet
so lets name the length of the ribbon she had originally as X
the fraction of X she used was - 3/8 of X
so we can write the following equation
when of function is used we multiply
3X = 6*8
3X = 48
X = 16
therefore length of the original ribbon piece Nicole had was 16 feet
Answer:
4
Step-by-step explanation:
you know what to do with a different person and you know what to do with 33rd grade and you know what to do with your child and your family