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
Answer:
64 pi
Step-by-step explanation:
lmk if you need an explanation
Answer:
Pam: $181
Amanda: $362
Julie: $452
Step-by-step explanation:
(What does Mike have to do with this problem?)
Let a = Amanda's pay
Let p = Pam's pay
Let j = Julie's pay
"Amanda made twice what Pam earned"
a = 2p
"Julie made $90 more than Amanda"
j = a + 90
j = 2p + 90
Pam earned p
Total salary
a + p + j = 2p + p + 2p + 90
Total salary
$995
2p + p + 2p + 90 = 995
5p = 905
p = 181
a = 2p = 2(181) = 362
j = 2p + 90 = 362 + 90 = 452
Answer:
Pam: $181
Amanda: $362
Julie: $452
(√5 + 3)² / √20=
((√5 + 3)² / √20)(√20/√20)=
(√20(√5 + 3)²) / (√20)²=
√20(5+6√5+9) /20=
√20 (14+6√5) /20=
(14√20 +6√100) /20=
(14√20 +60) / 20=
(14(√4√5) + 60) /20=
(14(2)(√5)+60) / 20=
(28√5+60) /20=
(7√5+15) / 5
Answer:(√5 + 3)² / √20= <span>(7√5+15) / 5</span>
<span>Y = -4x - 18
</span>This is the order pair (-5,2)
