Answer:
116 km squared
Step-by-step explanation:
When you get crazy shapes like this, try and look for the basic ones inside (i.e. triangles, rectangles, etc.) I can find one big triangle and two rectangles, one small and one larger. Vide the attatchment for reference.
Step 1. Find the missing variables, x, y, and z
y = 2
x = 6 - 2 = 4
z = 8 + (4) + 2 = 14
Step 2. Find the area of each shape
Triangle:
Area = bh/2 = (8 x 14)/2 = <u>56 km sq</u>
Big rectangle:
Area = bh = 8 x 6 = <u>48 km sq</u>
Small rectangle:
Area = bh = 2 x 6 = <u>12 km sq</u>
Step 3. Add all the areas together
56 + 48 + 12 = <u>116 km sq</u>
I hope this helps!
Answer:
80
Step-by-step explanation:
The value of x must be greater than 77
The only number greater than 77 is 80
Solve <span>3x+2y-6=0 for y
2y-6=-3x
2y=-3x+6
y=-1.5x+3
So the slope of the reference line is -1.5. For two lines to be parallel they must have the same slope so our line will also have a slope of -1.5 so we have:
y=-1.5x+b, now we can solve for b given the point (0,0)
0=-1.5(0)+b
0=0+b
b=0 so our line is:
y=-1.5x</span>
Total heads = 10
Total legs = 26
Cat = 4 legs
Birds = 2 legs
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Assumed all birds :
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Total legs = 10 x 2 = 20
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Difference in legs :
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26 - 20 = 6
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Difference in legs between the two animals:
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4 - 2 = 2
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Find number of cats :
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6 ÷ 2 = 3
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Find number of birds :
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10 - 3 = 7
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Answer: There are 3 cats and 7 birds.
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Answer:
Step-by-step explanation:
To find the value of y, you can create an equation where two parts of the line are equal to the whole line:
Substitute given values:
Solve for y. Simplify parentheses:
Combine like terms to simplify the equation:
Get the variable on one side of the equation and the constants on the other. Add 9 to both sides:
Subtract 9y from both sides:
Isolate the variable. Divide both sides by 10:
The value of y is 2. Insert this value into each line segment value and solve:
:Done
You can check by using:
This statement is true, so the values are correct.
