Since you are given that the triangle are similar, by definition of similar, we know that corresponding angles are congruent and corresponding sides are proportional.
The ORDER of the similarity statement is paramount.
Triangle ABC is similar to triangle EDC means that:
Angle A = Angle E
Angle B = Angle D
Angle C = Angle C
Angle B = 62 degrees so Angle D = 62 degrees.
Answer:The second choice is the correct one
Explanation:(2x+3)^2 + 8(2x+3) + 11 = 0
To use the u substitution, we will assume that:
2x + 3 = u
Substitute with this in the given expression, we will get:
u^2 + 8u + 11 = 0
The general form of the second degree equation is:
ax^2 + bx + c = 0
Comparing the expression we reached with the general one, we will find that:
a = 1
b = 8
c = 11
The roots can be found using the rule found in the attached picture.
This means that, for the given expression:
u = -4 ± √5
Now, we have:
u = 2x+3
This means that:
at u = -4 + √5
2x + 3 = -4 + √5
2x = -7 + √5
x = (-7 + √5) / 2
at u = -4 - √5
2x + 3 = -4 - √5
2x = -7 - √5
x = (-7 - √5) / 2
This means that, for the given expression:
x = (-7 ± √5 ) / 2
Hope this helps :)
Move all terms to the left side and set equal to zero. Then set each factor equal to zero
m= 5x-2016
_______
y (x-14)
(I'm trying to draw a fraction lol)
Okay, first we need to calculate the area of the rectangle.
Area of Rectangle- 16 x 6 = 96
Next, we need to calculate the area of the semicircles.
Formula: Radius x Radius x pi (3.14) = Area of circle
Since we know that the diameter is 6 we can figure out the radius.
The radius is half of the diameter. So our radius is 3.
3 x 3 x 3.14 = 28.26
Since it's a semi circle we now need to divide by 2.
28.26 divided by 2 = 14.13
Then, we add.
Area of rectangle
+
Area of 2 semi circles
96 + 14.13 + 14.13 = Total Area of The Figure
So our answer is 124.26
Answer:
code = 56
Step-by-step explanation:
E = GCF(22,30) = 2
F = LCM(3,8) = 24
Given
3 * (7+10) = G +30 => 51 = G + 30 => G = 21
5 * (3+H) = 15 + 45 => 3+H = (60/5) = 12 => H = 12 - 3 = 9
Sum E + F + G + H = 2 + 24 + 21 + 9 = 56