9514 1404 393
Answer:
B) 171 units^2
Step-by-step explanation:
The area is given by the formula ...
A = 1/2(b1 +b2)h
Filling in the given base and height values, we find the area to be ...
A = 1/2(23 +15)(9) = (19)(9) = 171 . . . square units
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<em>Additional comment</em>
You can select the correct answer choice simply on the basis of "reasonableness." If this were a 9×15 rectangle, its area would be 9×15 = 135 square units, more than 85.5. You know its area is less than a 9×23 rectangle, so is less than 9×23 = 207 square units. Only one answer choice is a value between 135 and 207.
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Multiplication by 9 is not so hard. It is multiplication by 10-1:
15×9 = 15×(10 -1) = 150 -15 = 135
Answer:
scale factor = 
Step-by-step explanation:
Compare the ratio of corresponding sides, image to original.
AB = 6 units and A'B' = 2 units, thus
scale factor = 
= 
=
Answer:
x= 25
Step-by-step explanation:
2x + 3 + 4x + 6 + 12x + 18 = 477
FIRST combine like terms
take all "x"
2+4+12= 18x
take all whole numbers
3+6+18= 27
18x+27= 477
now solve for x
-27 on both sides
18x= 450
÷18 on both sides
x= 25
Answer:
Step-by-step explanation:
Divide both sides by 50 and you'll get x=17/50
If x is the exponent than we can take the natural log of both sides.
x(ln)50=ln(17)
Then divide ln50 on both sides
x=ln17/ln50= 0.72423228087
