Answer:
<em>angle Y is 29 degrees</em>
<em>angle X is 120 degrees</em>
Step-by-step explanation:
Well, if the triangle is an equilateral, then all the angles are equal to
60 degrees
that means the the angle at the top point is 60+31 = 91 degrees
the right point is 60 degrees
every triangle has 180 degrees total
180 - (91+60) = 29 degrees
NOW FORGET ABOUT THE EQUILATERAL FOR A BIT
180 = 31+x+29
simplify
180 = 60+x
subtract 60 from both sides
120 = x
Answer:
x=2
Step-by-step explanation:
So if the equation is -12+7x=x, you need to subtract 7x, because you want to know the value of x. So the equation now looks like this: -12=-6x
you divide-6 to both sides because we want to iscolate the x
The answer is x=2
Hope it helps!
Area and perimeter of figure be: 562.08 m² and 123.68 m
<h3>What is Area and perimeter?</h3>
Perimeter is the distance around the outside of a shape. Area measures the space inside a shape.
The figure comprises of a parallelogram and semicircle.
1. For Area
Area of parallelogram = base x height
= 24 x 14
= 336 m²
Area of semicircle = (π x r²)/2
= (3.14 * 12 * 12)/2
= 226.08 m²
Total Area of the figure = 336+ 226.08 =562.08 m²
2. Perimeter
Perimeter of parallelogram= 2 (a+b)
= 2 (19 +24)
= 86 m
Perimeter of semicircle= π * r
= 3.14 * 12
= 37.68 m
Total Perimeter of the figure= 86 + 37.68 = 123.68 m
Learn more about perimeter and area is:
brainly.com/question/11957651
#SPJ1
Answer: 9/17
Reason
The reciprocal is simply flipping the denominator and numerator of a fraction.
1-8/9 as a mixed fraction is 17/9
So the reciprocal would be to flip it,
Giving you 9/17 which is in its simplest form
f(x) = 2 
-4x
Step-by-step explanation:
Step 1 :
Given, f(x) = a(x - h)2 + k
Point on the parabola is (3, 6)
Vertex (h,k) = (1,-2)
Step 2:
Substituting the vertex in the equation we have,
f(x) = a(x-1)2 -2
Substituting the point (3,6) in this we have,
6 = a(3-1)2 - 2 => 6 = 4a -2
=> 4a = 8 => a = 2
Step 3 :
Substituting the value for a and the vertex in the given equation we have
f(x) = 2(x-1)2 -2 = 2(x2 - 2x + 1) -2 = 2x2 - 4x
=> f(x) = 2 -4x which is the standard form
