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PIT_PIT [208]
3 years ago
14

Read the proof. Given: AB ∥ DE Prove: △ABC ~ △EDC Statement Reason 1. AB ∥ DE 1. given 2. ∠ACB and ∠ECD are vert. ∠s 2. definiti

on of vertical angles 3. ∠ACB ≅ ∠DCE 3. vertical angles are congruent 4. ∠BDE and ∠DBA are alt. int. ∠s 4. definition of alternate interior angles 5. ∠BDE ≅ ∠DBA 5. alternate interior angles are congruent 6. △ABC ~ △EDC 6. ? AA similarity theorem ASA similarity theorem AAS similarity theorem SAS similarity theorem
Mathematics
2 answers:
mrs_skeptik [129]3 years ago
8 0

Answer:

AA similarity theorem

Step-by-step explanation:

When two triangles have two angles congruent then the two triangles are similar by AA similarity

Here we are given that AB is parallel to DE

AE and BD are joined to intersect at C.

Angle ACB = Angle ECD (vertically opposite angles_

Angle BDE = Angle DBA (alternate interior angles)

Hence the two triangles are similar by AA similarity theorem

Gre4nikov [31]3 years ago
6 0

the correct answer is  AA similarity theorem

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10 less than a number translate this expression
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Answer: x - 10
Explanation: less than means subtraction
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3 years ago
The graphs below represent the equations y = 2* and y = 2x + 1.<br> Graph 1<br> Graph 2
sveticcg [70]

Answer:

a. Graph 1 is y=2^x and Graph 2 is y=2x+1

b. The slope increases over time on Graph 1, and remains the same on Graph 2

c. Graph 1 is exponential (y=2^x) and Graph 2 is linear (y=mx+b)

Hope this helps!

Step-by-step explanation:

a:  y=2* is exponential, so it is graph 1 (it makes a curve) y=2x+1 is linear (makes a line), and it has a slope of 2 and a y-intercept of 1, so y=2x+1 is graph 2!

b. slopes of Exponential Functions usually continue to increase (unless the number that is being affected by the exponent x is less than 1, in which they would continue to decrease), and linear functions have a set slope (m in y=mx+b)

c. Explanation is in the answer (it says to explain)

8 0
3 years ago
It took 9 gallons of gas for a car to travel 216 miles. What is the rate of the car in miles per gallon of gas? help me quick
neonofarm [45]

Answer:

24 miles per gallon

Step-by-step explanation:

To find the rate of <u>miles per gallon</u> divide the miles (216) by the gallons (9). 216/9 is 24. So the answer is 24 miles per gallon.

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5 0
3 years ago
Read 2 more answers
What is 10:16:3 simplified?
WITCHER [35]
It would be just that. There is nothing to divide with the same number... If you need any more questions, just ask me.
6 0
3 years ago
Write a number between 80 and 100 that has exactly 3 factors, one of which is a 5
Flura [38]
Answer:

answer is 90

Explanation:

Here 5 is one of the 4 prime factors, so dividing the lower (80) and upper limit (100) by 5 we have new lower limit 16 and new upper limit 20.

So the product of other 3 factors should be greater than 16 and less than 20.

And we can have it from 18 only. Hence the number is 90.

The numbers between 80 and 100 having factor 5 are

<span>80,85,90,95,100</span>

<span>16=<span>24</span></span>

<span>17=17</span>

<span>18=2×3×3</span>

<span>19=19</span>

<span>20=<span>22</span>×5</span>

<span>90=2×<span>32</span>×<span>5</span></span>

<span><span>
</span></span>

5 0
4 years ago
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