In the rhombus m1 = 10x, m2 = x + y, m3 = 18z. Find the value of each variable
1 answer:
I think the question is missing some details. I found a similar question with an image as i attached in this question.
From this image, it its clear that m1, m2 and m3 refers to the angles in the middle of the rhombus
Answer:
x = 9
y = 81
z = 5
Step-by-step explanation:
Note that in rhombus, all sides are the same. If the diagonal lines are made, it will create 4 division of angles of 90 degrees.
Therefore m1 = m2 = m3 = 90 degrees
m1 = 10x and m1 =90
So, 10x = 90. Rearrange it to get x = 90/10 = 9
x = 9
m2 = x + y and m2 = 90
So, x + y = 90
9 + y = 90
y = 90 - 9 = 81
m3 = 18z and m3 = 90
So, 18z = 90
z = 90/18 = 5
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Question:
The temperatures at several times of the day are shown in the coordinate plane below. The x-axis represents the number of hours before or afternoon. For example, -1 would represent 11 a.m. The y-axis represents the temperature in degrees Celsius.At 5 p.m, the temperature is halfway between the temperature at 2 p.m. and the temperature at 8 p.m.
What coordinates represent the temperature at 5 p.m.?
Answer:
(5, 2)
=> At 5pm, the temperature is at 2⁰C
Step-by-step Explanation:
Coordinates of any point on a cartesian/coordinate plane is represented by (x, y). Where x is the number at the point on z-axis, while y is the number at the same point on the y-axis.
From the diagram of the coordinate plane attached below, we can simply find out what coordinates represent the temperature at 5pm.
==> Given that the temperature at 5pm is half way between the temperature at 2pm (y=7) and temperature at 8pm (y=-3), the point that is being referred to = [7+(-3)] ÷ 2 = ⁴/2 = 2 (i.e. 2 on the y axis representing temperature)
*The position of the point is indicated in the second picture that is attached below.
At that position of the point, we have 2 as the coordinate for the y axis representing temperature, and at that same position, we have 5 on the x-axis representing the number of hours.
Therefore, coordinates of the point (x, y) representing 5p.m = (5, 2)
==> At 5pm, the temperature is at 2⁰C
