Please check the attached images for the answer. Answer with full explanation is screenshoted. Plz refer.
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n=number of nickles
q=number of quarters
d=number of dimes
4 more dmes than nickles, 3 more quarters than dimes
d+4=n
q=3+d
total value is 455 cents
10d+5n+25q=455
divide both sides by 5 to simplify
2d+n+5q=91
now we convert all to one coin
q=3+d and n+4=d
subsitute 3+d for q and n+4 for d
2(n+4)+n+5(3+d)=91
2(n+4)+n+5(3+n+4)=91
2(n+4)+n+5(n+7)=91
2n+8+n+5n+35=91
8n+43=91
minus 43 both sides
8n=48
divide both sides by 8
n=6
sub back
n+4=d
6+4=d
10=d
q=3+d
q=3+10
q=13
6 nickles
10 dimes
13 quarters
The triangles that are similar would be ΔGCB and ΔPEB due to Angle, Angle, Angle similarity theorem.
<h3>How to identify similar triangles?</h3>
From the image attached, we see that we are given the Parallelogram GRPC. Thus;
A. The triangles that are similar would be ΔGCB and ΔPEB due to Angle, Angle, Angle similarity theorem.
B. The proof of the fact that ΔGCB and ΔPEB are similar pairs of triangles is as follow;
∠CGB ≅ ∠PEB (Alternate Interior Angles)
∠BPE ≅ ∠BCG (Alternate Interior Angles)
∠GBC ≅ ∠EBP (Vertical Angles)
C. To find the distance from B to E and from P to E, we will first find PE and then BE by proportion;
225/325 = PE/375
PE = 260 ft
BE/425 = 225/325
BE = 294 ft
Read more about Similar Triangles at; brainly.com/question/14285697
#SPJ1
Answer:
Please read all of this! Underlined things are the answers. The area of the entire circle is 19.625
Step-by-step explanation:
(This is a circle so the middle line is the diameter. According to the attachment, the diameter is 5 cm. To find the area, we have to multiply π and the radius squared. The radius is half of the diameter.
5 ÷ 2 = 2.5
2.5² = 6.25
π = 3.14
3.14 x 6.25 = 19.625)
Ignore the top I just realized what I'm supposed to do but I left it there just in case you need help!
<u>The right and left shaded regions areas are 6.28 each.</u>
4 ÷ 2 = 2
2² = 4
3.14 x 4 = 12.56
Since this is a semi circle, we cut it in half.
12.56 ÷ 2 = 6.28
To find the top and bottom shaded region's areas, repeat the same steps.
3 ÷ 2 = 1.5
1.5² = 2.25
3.14 x 2.25 = 7.065
7.065 ÷ 2 = 3.5325
<u>The areas of the the top and bottom shaded regions are 3.5325 each.</u>
