A quilt is designed using a square pattern. each square contains two rectangles. each rectangle contains a shaded rhombus. each
1 answer:
Based on the calculations, the value of x in this rhombus is equal to: B. 55.
<h3>How to determine the value of x?</h3>Since the opposite angles in a rhombus are always congruent, the sum of each angle in any rhombus must be equal to 360 degrees.
From the image of the rhombus, we can deduce the following parameters:
Adjacent angles = 2x + 20 and 50 degrees.
Opposite angles = 2x + 20 and 50 degrees.
Adding the angles, we have:
2x + 20 + 2x + 20 + 50 + 50 = 360
4x + 140 = 360
4x = 360 - 140
4x = 220
x = 220/4
x = 55°
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1. The values of p and q are: p=31 and q= 4
2. B(11, 29/5)
Further explanation:
<u>1. L(15. 1) is the midpoint of the straight line joining point (p. - 2) to point D(-1. q) find p and q.</u>
Given:
M = (15. 1)
(x1, y1) = (p, -2)
(x2, y2) = (-1, q)
The formula for mid-point is:
Hence,
p=31
q=4
<u>2. M is the midpoint of the straight line joining point A (3. 1/5) to point B.If m has coordinates (7. 3), find the coordinates of B.</u>
Here,
(x1,y1) = (3, 1/5)
(x2, y2) = ?
M(x,y) = (7,3)
Putting values in the formula of mid-point
So, the coordinates of point B are (11, 29/5) .
Keywords: Finding mid-point, Finding coordinates through mid-point
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Answer:
132 cm cubed
Step-by-step explanation:
so if = 3
cylinder 1 = 3 x 2 x 2 x 7 = 84 cm cubed
cylinder 2 - 3 x 4 x 4 x 1 = 48 cm cubed
all together = 84 + 48 = 132 cm cubed
area of this object = 132 cm cubed