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PSYCHO15rus [73]
3 years ago
5

Show that the triangles are similar

Mathematics
1 answer:
ss7ja [257]3 years ago
6 0

Answer:

<ACB is supplementary to the < ECD by the definition of supplementary angles. Therefore the first part of your answer is <ACB = <ECD

We know that similar triangles have the same corresponding angle measurements for their angles and therefore one of the triangles is just a scaled up or down version of the original. Triangle EDC is a scaled down version of ABC. Therefore, the corresponding sides of triangle ECD have the same ratio to the corresponding sides of ABC. For example line segment EC and BC are corresponding line segment and lets find the ratio: 14/21 = 2/3

THe ratio of EC to BC is 2/3 and the ratio of CD to AC is also 2/3 (18 / 27=2/3)

Therefore, CE / BC is equal to DC / AC

Your full answer is

<ACB = <ECD, CE / BC = DC / AC

So triangle ABC ~ triangle CDE

Step-by-step explanation:

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A jar contains n nickels and d dimes. There is a total of 257 coins in the jar. The value of the coins is $17.35. How many nicke
Alona [7]

Answer:

Here's what we know:

n + d = 20 (there are a total of 20 nickels and dimes)

.05n + .1d = 1.4 (total change equals $1.40)

There are a couple of ways to solve this. You can go the elimination method by multiplying the second equation by an amount to get rid of a variable, or we can go substitution by isolating a variable in the first equation. I'll go with elimination in this case:

-10(.05n + .1d = 1.4) this will cause the d-variable to equal 0:

n  +  d = 20

-.5n - d = -14

------------------

.5n = 6

n = 12

Now that we know n, we can solve for d:

12 + d = 20

d = 8

Check:

.05 * 12 + .1 + 8 = 1.4

.6 + .8 = 1.4

1.4 = 1.4

Step-by-step explanation:

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3 years ago
Neelam is pouring sand into a clear box to make sand art. The box is a right rectangular prism, and the base of the box is a rig
Komok [63]
This is math right it’s Easter with a tutor
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3 years ago
What is the lowest common multiple of 42 and 63?
gtnhenbr [62]
Because 42 doesn't go into 63, you have to go larger. Start by multiplying 63 by 2.

63*2=126

42 goes into 126 3 times even, so the LCM of 42 and 63 is 126 :)
8 0
3 years ago
__•__=42<br> __+__=23<br><br><br> Can someone help me solve this?
RoseWind [281]

Answer:

21 * 2 = 42

21 + 2 = 23

Step-by-step explanation:

well I know that 6 * 7 = 42 so I’m assuming that’s correct

Then 11 + 12 = 23 it could be the answer I’m not positive for this one though.

The first one should be correct.

Maybe try

21 * 2 = 42

21 + 2 = 23

3 0
2 years ago
How do you graph f(x)=|x^2-4|?
Citrus2011 [14]
*Hint: When an equation has | it means the absolute value.

Up in the attachment I have provided above is the way that equation should be graphed.

Because the x is squared, it's known that the graph will have a parabola. The -4 is showing the indent it will have.

7 0
4 years ago
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