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Scrat [10]
3 years ago
9

Given: A(0,0) B(0,3) C(4,0) D(0,6) and E(8,0) Prove:ABC~ADE

Mathematics
1 answer:
tester [92]3 years ago
7 0
ADE is 2 times ABC. 
A times 2 is 0,0 which is the same as A
B times 2 is 0,6 which is the same as D
C times 2 is 8,0 which is the same as E
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Rachel jogged along a trail that was 1/4 of a mile long. She jogged along the trail 8 times. How many miles did Rachel jog?
ki77a [65]
I am thinking as wisely as I can. I believe that Rachel would have jogged 2 miles, if you think about it. If 1/4 of the trail is jogged each time, and she does that 8 times, 1/4 + 1/4 + 1/4 + 1/4 +1/4 + 1/4 + 1/4 + 1/4= 8/4 or 2. I hope this helped!



5 0
3 years ago
A personnel director at a large company studied the eating habits of employees by watching the movements of a selected group of
Gnesinka [82]

Answer:

  1. c) an observational study
  2. c) convenience sample
  3. a) blocking for gender

Step-by-step explanation:

It is an abservational study because she is only watching and not asking the all or a group of employees to tell her their response to what she wants to know.

It is a convenience sample because subjects are selected because of their closeness to the researcher.

8 0
3 years ago
Since BC is parallel to DE, triangles ABC and ADE are similar. What are the lengths of the unknown sides?
NikAS [45]

Answer:

C

Step-by-step explanation:

Step 1: find BC

Given Triangles ABC and ADE are similar,

\frac{AB}{AD} = \frac{BC}{DE}

BC = \frac{AB}{AD} x DE

= \frac{8}{8 + 4} x 9

= 6 cm

Step 2: use Pythagorean theorem to find AC and / or AE

Consider triangle ABC,

by Pythagorean theorem,

AB² + BC² = AC²

AC² = 6² + 8² = 100

AC = √100 = 10 (answer... we can see that C is the only one with AC=10.

Step 3: Verify.. even though we know that it is C because AC  = 10,  you can verify that the ansewer is correct by finding CE and confirming that CE=5

By using similar triangles ABC and ADE,

AC/AE = AB / AD

AE = AD/AB x AC = 12/8 x 10 = 15

CE = AE - AC = 15 - 10 = 5 (answer confirmed)

5 0
2 years ago
Leo has $4.80 in dimes a d quarters he has 6 more dimes than quarters how many quarters does he have
Kryger [21]

Answer:

Step-by-step explanation:

he has 4.80 in dimes and quarters....dimes (d) are worth 0.10 and quarters (q) are worth 0.25

0.10d + 0.25q = 4.80

he has 6 more dimes then quarters

d = q + 6

====================

d = q + 6...so we sub q + 6 in for d, back into the other equation

0.10(q + 6) + 0.25q = 4.80

0.10q + 0.60 + 0.25q = 4.80

0.35q = 4.80 - 0.60

0.35q = 4.20

q = 4.20 / 0.35

q = 12 <====== there is 12 quarters

d = q + 6

d = 12 + 6

d = 18 <===== there is 18 dimes

6 0
3 years ago
Read 2 more answers
When h has the value of 4, calculate <br> 4h+9
Artemon [7]
4h+9
We can plug 4 into h to result in this expression:
4*4+9
16+9=
25
8 0
2 years ago
Read 2 more answers
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