Answer:
The number, x = { -5 < x < 14}
This means x is any integer between -5 and 14
Step-by-step explanation:
From the statement, let the number be x
3 + x = y; y = { -2 < y < 17}
This means that y is any integer between -2 and 17
Therefore, x = y - 3
Subtract 3 from the limits of y
i.e. -2 - 3 = -5 and 17 - 3 = 14
Hence, x = { -5 < x < 14}
We Cannot conclude that triangles DEF and LNM are similar if DF = 8 and LM = 4.
<u>Solution:</u>
Given that for two triangle DEF and LNM, DE = 8 and LM = 4.
To say that two triangles are similar the provided information is not complete.
Two triangles DEF and LNM , will be similar if there corresponding sides are in ratio which means
But we have only information of 
But do not have any information regarding two remaining ratios that are 
Hence cannot conclude that triangles DEF and LNM similar if DF = 8 and LM = 4
Answer:
-9p -4q + 69
Step-by-step explanation:
5p +4q + (-9p +69)
=> 5p + 4q -9p +69
=> -4p +4q +69
Now, we need to subtract 5p +8q from -4p + 4q +69
=> -4p +4q +69 - (5p +8q)
=> -4p + 4q +69 - 5p -8q
=> -9p -4q + 69
Answer:
-15/7
Step-by-step explanation:
Let B(x1, y1) be on vertical (y-axis) then B = (0, 15) and
A(x2, y2) be on horizontal (x-axis) then A = (7, 0).
Now, slope = (y2 - y1)/(x2 - x1)
then slope = (0 - 15)/(7 - 0)
=> slope = (-15)/7
slope of the budget = -15/7
That would be 6 and 6/8 inches
