In the rhombus, m<1=18x m<2=x+y m<3=30z
Find the value of the variables X,Y, and Z. {angle 1 is on bottom right, angle 2 is on bottom left, on the upper half is angle three on the left. the figure is shaped like a wide diamond}
Thank You ^0^ It means alot!
1. Classify the figure in as many ways as possible
- A. rectangle; square; quadrilateral; parallelogram; rhombus
2. Which statement is true?
- C. All rectangles are quadrilaterals.
3. Lucinda wants to build a square sandbox, but she has no way of measuring angles. Which of the following explains how she can make sure the sandbox is square by measuring only length.
- B. Arrange four equal-length sides, so the diagonals are equal lengths also.
4. J and M are base angles of isosceles trapezoid JKLM. If mJ=20x+9 and mM=14x+15, find mK.
- A. 151 degrees
5. In the Rhombus m1=18x, m2=x+ y, and m3=30z. Find the value of x+y+z. The diagram is not drawn to scale
- A. 93
6. In the rectangle KLMN, KM=6x+16, and LN=49. Find the value of x.
- D. 5.5
7. Find the value of a. The diagram is not to scale.
- B. 144 degrees
8. LM is the mid segment of trapezoid ABCD. If AB=46 and DC=125, what is LM?
- D. 85.5
9. Use Amy, she got it
- In the rhombus all the 4 sides are equal.
ABC is congruent to CDA because..
AD=BC
DC=AB
AC=AC
therefore all three side from each triangle are the same and they are congruent according to SSS
Okay in all honesty, this made no sense, but I got the same answer in a different way.
We know that the diagonals of a rhombus always intersect at 90 degrees right? So that means that...
Angle 1 is
18x=90
Simplify that and get your answer for variable x
x = 5
For Angle 2, substitute the x in x + y, with the answer you got from Angle 1. (5) + y = 90
So simplify this and then you get y.
y = 85
For Angle 3, there are two ways it could go;
It could be going as 18x = 30z
We know what x is, so we substitute that:
18(5) = 30z
Simplify and...
3 = z
Flip...
z = 3
as for the second version, its easier really, but you can do either one
30z = 90
Simplify and...
z = 3
And thats it! I've known Steve to be correct most of the time, but they don't explain too much (Sorry Steve). I used what I knew, so I can't guarantee that the teachers with accept it, but its all I can do to help. I still got the same answers as Steve though -3-
sdjf was right for multiple choice but I haven't gotten my essay back yet
still don't understand, what's the answer?
im coming back and giving all the answer bruh
Thank you (:
thanks
thanks
To solve for the variables x, y, and z in the given rhombus, we need more information or equations. The given information only provides the measures of the angles (m<1, m<2, m<3) in terms of variables.
If you have any additional information or equations related to x, y, and z, please provide them so that we can help you find their values.
One answer:
x = 5
y = 85
z = 3
There are also many other answers, but not with all three variables as integers.
All we really know is that
x < 10
y < 175
z < 6
18x = 30z
18x + x+y = 180