Answer:
The number is -6.
Step-by-step explanation:
Variable x = a number
Set up an equation:
3x + 12 = -6
Isolate variable x:
3x = -18
x = -6
Check your work:
3(-6) + 12 = -6
-18 + 12 = -6
-6 = -6
Correct!
Answer:
B) 4.5
Step-by-step explanation:
The area of the first figure is 10x
The area of the second figure is 6(x+3)=6x+18
To solve, find the x that makes 10x=6x+18
1) 10x=6x+18
2) 4x=18
3) x=4.5
To check work)
1) 10(4.5)=6(4.5)+18
2) 45=27+18
3) 45=45
When the diagonals of a quadrilateral are perpendicular, the area of that quadrilateral is half the product of their lengths.
.. A = (1/2)*d₁*d₂
Substituting the given information, this becomes
.. 58 in² = (1/2)*(14.5 in)*d₂
.. 2*58/14.5 in = d₂ = 8 in
The length of diagonal BD is 8 in.
Answer:
x=−6±3√5
Step-by-step explanation:
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Answer:
C. 12
Step-by-step explanation:
Corresponding sides are proportional. Sides with the same mark are the same length.
WX/XY = LM/MN = LM/KJ
WX/10 = 18/15
WX = 180/15 . . . . multiply by 10
WX = 12