Answer:
32.9 inches
Step-by-step explanation:
this can be solved using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base = 49
c = hypotenuse = diagonal = 59
l² + 49² = 59²
l² = 59² - 49²
3481 - 2401 = 1080
find the square root
32.9 in
Step-by-step explanation:
line s || line t
r is the transversal,
Therefore,
(7x-2)°= (6x+18)° {exterior alternate angles}
7x-6x=18+2
x=20°
r is also a straight line,
therefore,
7x-2+angle1=180° (straight angle)
7x-2+ angle1=180°
7(20)-2+ angle 1= 180°
140°-2+ angle 1= 180°
angle 1= (180-140+2 )°= 42°
angle 1= 42°
Given:
Composite figure
To find:
The shapes in the composite figure.
Solution:
The image splitted into three shapes.
- Draw a line from top vertex to bottom vertex.
- We get one triangle.
- Similarly, draw another line adjacent to the previous line.
- We get another triangle and rectangle.
Therefore a composite figure divided into a rectangle and two triangles.
5 × 2 + 1
= 11/5
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Step-by-step explanation:
((a+b)/b − a/(a+b)) ÷ ((a+b)/a − b/(a+b))
To find the domain, remember that any denominators can't be 0.
b ≠ 0
a + b ≠ 0
a ≠ 0
(5/(a+1) − 3/(a−1) + 6/(a²−1)) × (a+1)/2
Distribute the a+1.
(5 − 3(a+1)/(a−1) + 6/(a−1)) / 2
Factor out 1/(a−1).
(5(a−1) − 3(a+1) + 6) / (2(a−1))
Simplify.
(5a − 5 − 3a − 3 + 6) / (2a−2)
(2a−2) / (2a−2)
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