since the triangles are similar
angle DEC = 60 degrees
3 angles inside a triangle equal 180 degrees
BAC = DCE = 64
CBA = EDC = 56
DEC = 180 -56 -64 = 60 degrees
used angle-angle theorem
Answer:
$0.48
Step-by-step explanation:
Is means equals and of means multiply
W = 6% * 7.95
Change the percent to a decimal
W = .06*7.95
W = .477
Rounding to the nearest cent since this is money
W = .48
23 mm, 20mm, 13mm sides: No equal sides and No equal angles are characteristics of a Scalene Triangle.
62,72,46 angles : All angles are less than 90°, this means that the triangle is an acute triangle.
Based on the above information the triangle is an ACUTE SCALENE TRIANGLE.
Answer:
A'(8, -5)
Step-by-step explanation:
Reflection across the line y=x can be written as the transformation ...
(x, y) ⇒ (y, x) . . . . . . swap the values of x and y
Then point A(-5, 8) will be reflected to ...
A' = (8, -5)
Multiply out <span>f(x)=(x-8)(x-2): f(x) = x^2 - 8x - 2x + 16, or f(x) = 1x^2 - 10x + 16.
Thus, a=1, b= -10 and c=16.
One of several ways to find the vertex involves "completing the square."
x^2 - 10x + 16 = x^2 - 10x + 25 - 25 + 16, or y = (x-5)^2 -9, or y+9=(x-5)^2.
Compare this result to y-k = a(x-h)^2. We see that h=5 and k=-9.
Thus, the vertex is at (h,k) = (5, -9). </span>
