91 IS THE AREAS OF THE SIX RECTANGLES
Step-by-step explanation:
22.00 is the answer of this problem
Answer:
$8.75
Step-by-step explanation:
$35 x .25 = $8.75 (Amount Dara has saved)
Answer:
- you - 4 rocks and 16 fossils
- friend - 12 rocks and 8 fossils
Step-by-step explanation:
Let the rock be r and the fossil be f
<u>Equations</u>
- You: r + f = 20
- Friend: 3r + 1/2f = 20
<u>Double the second equation and subtract the first one:</u>
- 2(3r + 1/2f) - (r - f) = 2*20 - 20
- 6r - r = 20
- 5r = 20
- r = 4
<u>Then find f:</u>
So you collect 4 rocks and 16 fossils
<u>Friend collects:</u>
- 4*3 = 12 rocks and
- 1/2*16 = 8 fossils
9514 1404 393
Answer:
BE = 266 2/3
PE = 233 1/3
Step-by-step explanation:
<u>Part A</u>: The figure has 3 triangles, all similar. In order of shortest-to-longest side lengths, they are ...
ΔBPE ~ ΔBCG ~ ΔGRE
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<u>Part B</u>: They can be declared similar by the AA postulate. For BPE and BCG, the angles at B are vertical angles, so are congruent. The angles at C and G are alternate interior angles, so are congruent.
For triangles BPE and GRE, angle E is congruent to itself, The angles at R and P are corresponding angles, so are congruent.
(Remember, GRPC is a parallelogram, so any line in the figure is a transversal crossing parallel lines.)
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<u>Part C</u>:
From parts A and B, we know ΔBPE ~ ΔBCG. Corresponding sides are proportional:
BP/BC = BE/BG = PE/CG
200/300 = BE/400 = PE/350
BE = (400)(2/3) = 266 2/3
PE = (350)(2/3) = 233 1/3