The value of x is 1.
The value of y is 4.
Solution:
Given TQRS is a rhombus.
<u>Property of rhombus:
</u>
Diagonals bisect each other.
In diagonal TR
⇒ 3x + 2 = y + 1
⇒ 3x – y = –1 – – – – (1)
In diagonal QS
⇒ x + 3 = y
⇒ x – y = –3 – – – – (2)
Solve (1) and (2) by subtracting
⇒ 3x – y – (x – y) = –1 – (–3)
⇒ 3x – y – x + y = –1 + 3
⇒ 2x = 2
⇒ x = 1
Substitute x = 1 in equation (2), we get
⇒ 1 – y = –3
⇒ –y = –3 – 1
⇒ –y = –4
⇒ y = 4
The value of x is 1.
The value of y is 4.
Answer:
1 2/9 minutes faster
Step-by-step explanation:
Take the larger number and subtract the smaller number
8 5/9 minutes - 7 1/3 minutes
Get a common denominator
8 5/9 - 7 1/3 *3/3
8 5/9 - 7 3/9
1 2/9 minutes faster
Answer:
D.
Step-by-step explanation:
Look for the closed circle with the arrow pointing to the right on this one.
Answer: <em>y = 3/4 x + 8</em>
Step-by-step explanation: First you must find the slope of line k.
<em>y2 - y1</em>
<em>m = -----------</em> <em>The slope is 3/4</em>
<em> </em><em>x2 - x1</em>
Since the two lines are paralell you know that line h has the same slope.
Next you must find the y-intercept by replacing x and y with the values given by the point.
<em>y = 3/4x + ? -----> 12 = 3/4(4) + ?</em>
<em> 12 = 3 + 8</em>
The y-intercept is 8
Your equation for line h is <em> </em><em>y = 3/4 x +8 </em>
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<em>Hope this was helpful!</em>
Answer: DC = 4
Step-by-step explanation: Because it is going 1 subtract everytime
