The constant of proportionality,m, is 3 (option B)
2011 because it has the higher gpa of all of them
Answer:
82.8 in²
Step-by-step explanation:
The surface area a triangular based pyramid :
Base area + 1/2(perimeter * slant height)
Base = 8 inches ; Slant height = 4.6 inches ; altitude of base measure = 6.9 inches
Base area of triangle :
1/2 * base * height
1/2 * 8 * 6.9
4 * 6.9
Base area = 27.6 in²
The perimeter, P = sum of sides ; (s1 + s2 + s3
P = 8 + 8 + 8 = 24 in
Hence,
Surface area = 27.6 in² + 1/2(24*4.6)
Surface area = 27.6 in² + (12 * 4.6) in²
Surface area = (27.6 + 55.2)
Surface area = 82.8 in²
<span>Given: Rectangle ABCD
Prove: ∆ABD≅∆CBD
Solution:
<span> Statement Reason
</span>
ABCD is a parallelogram Rectangles are parallelograms since the definition of a parallelogram is a quadrilateral with two pairs of parallel sides.
Segment AD = Segment BC The opposite sides of a parallelogram are Segment AB = Segment CD congruent. This is a theorem about the parallelograms.
</span>∆ABD≅∆CBD SSS postulate: three sides of ΔABD is equal to the three sides of ∆CBD<span>
</span><span>Given: Rectangle ABCD
Prove: ∆ABC≅∆ADC
</span>Solution:
<span> Statement Reason
</span>
Angle A and Angle C Definition of a rectangle: A quadrilateral
are right angles with four right angles.
Angle A = Angle C Since both are right angles, they are congruent
Segment AB = Segment DC The opposite sides of a parallelogram are Segment AD = Segment BC congruent. This is a theorem about the parallelograms.
∆ABC≅∆ADC SAS postulate: two sides and included angle of ΔABC is congruent to the two sides and included angle of ∆CBD
Answer: 10 dimes
Solve using system of equations.
q=number of quarters and d=number of dimes
.25q+.10d=5.50 because the total of dimes and quarters is $5.50
8+d=q because there are 8 more quarters than dimes
substitute 8+d for q into the first equation to get .25(8+d)+.10d=5.50
then simplify
2+.35d=5.50
.35d=3.50
d=10 he has 10 dimes
