What is the value of x in QRST?
rhombus QRTS with intersecting lines with values 8, 12, 3x and 2x
If this is for Lesson 2: Properties of Parallelograms: Unit 1 quick check...
The correct answers are...
1. B- 53 degrees
2. D- 4
3. C- 12
4. C- 80 degrees
5. C- 15 degrees
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1. B
2. D
3. C
4. C
5. C
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Write an equation for the line that has slope 1 and contains the points 3 -2
To find the value of x in QRST, we need to use the given information about the intersecting lines with values 8, 12, 3x, and 2x in the rhombus QRTS.
In a rhombus, opposite sides are congruent. This means that the segments QR and TS have the same length, as well as the segments RT and QS.
Given:
QR = 8
RT = 12
QS = 3x
TS = 2x
Since QR and TS are congruent, we can set up an equation:
QR = TS
8 = 2x
Solving for x:
Divide both sides of the equation by 2:
8/2 = 2x/2
4 = x
Therefore, the value of x in QRST is 4.