Answer:
x = 46°
Step-by-step explanation:
the opposite angles of a cyclic quadrilateral are supplementary, sum to 180° , then
x + 134° = 180° ( subtract 134° from both sides )
x = 46°
Answer is a sphere (ball shape)
Answer:
<h3>Length = 29 inches</h3><h3>Width = 8 inches</h3><h3 />
Step-by-step explanation:
Perimeter of a rectangle = 2l + 2w
where
l is the length of the rectangle
w is the width
From the question
length of a rectangular picture is 5 inches more than three times the width is written as
l = 5 + 3w
Now substitute this into the above equation
Perimeter = 74 inches
74 = 2(5 + 3w) + 2w
74 = 10 + 6w + 2w
8w = 74 - 10
8w = 64
Divide both sides by 8
w = 8 inches
Substitute w = 8 into l = 5 + 3w
That's
l = 5 + 3(8)
l = 5 + 24
l = 29 inches
<h3>Length = 29 inches</h3><h3>Width = 8 inches</h3>
Hope this helps you
Answer: 
<u>Step-by-step explanation:</u>
The vertex form of a parabola is: y = a(x - h)² + k where
- (h, k) is the vertex
NOTE: p is the distance from the vertex to the focus
The vertex (h, k) is (2, -3)

Insert those values into the vertex formula to get:

Answer:
Width: 10 inches
Length: 15 inches
Step-by-step explanation:
Let the width be w.
Since the length is 5 inches longer than its width, the length = w +5.
Area of rectangle = length x width
w (w +5) = 150
w^2 + 5w = 150
w^2 + 5w -150 = 0
Using quadratic formula,
w = 10 or -15
Since the width cannot be negative,
the width is 10 inches.
Now just substitute w=10 into length = w +5.
length = 10 + 5
= 15 inches