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devlian [24]
3 years ago
5

The sum of 6 consecutive even numbers is 126. What is the fourth number in this sequence?

Mathematics
1 answer:
lilavasa [31]3 years ago
4 0

Answer:

The 6 numbers are: 16, 18, 20, 22, 24, and 26 so the answer would be 22.

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Complete the proof proving YUZ~VWZ
iVinArrow [24]

Answer:

1. ΔXYZ is a right Δ with altitude YU.

Given

2. ΔXYZ ~ ΔYUZ

Right Triangle Altitude Similarity Theorem

3. VW || XY

Given

4. ∠VWZ ≅ ∠XYZ

Corresponding angles

5. ∠Z ≅ ∠Z

Reflexive property of congruence

6. ΔXYZ ~ ΔVWZ

AA Similarity postulate

7. ΔYUZ ~ ΔVWZ

Transitive property of similar triangles

Step-by-step explanation:

The first statement is given in the problem.  Since we know the altitude of a right triangle, we can use the Right Triangle Altitude Similarity Theorem to say that the triangles formed by the altitude are similar to each other and the original triangle.

Next, we are given in the problem statement that the lines VW and XY are parallel.  Therefore, ∠VWZ and ∠XYZ are corresponding angles, which makes them congruent.  And since ∠Z is equal to itself (by reflexive property), we can use AA similarity to say ΔXYZ and ΔVWZ are similar.

Finally, combining statements 2 and 6, we can use transitive property to say that ΔYUZ and ΔVWZ are similar.

4 0
3 years ago
3(4+6)-16 what does it equal and how did you get the answer
Alecsey [184]

Answer:

14

Step-by-step explanation:

you can do this two ways:

<u>First: </u>

3(10)-16\\=30-16\\=14

<u>Second: </u>

Distribute the 3 first

\\12+18-16\\=30

5 0
3 years ago
The air temperature is −6℃ at sunrise and rises 4℃ every hour for several hours. The air temperature after x hours after sunrise
Nezavi [6.7K]

Answer:

Step-by-step explanation:

F(x)=4x-6

It will start at -6C and every hour we will be going up by 4

6 0
3 years ago
AABC=ARST AnglezAngles and Sides​
mario62 [17]

Answer:

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Step-by-step explanation:

i can help?

3 0
3 years ago
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Answer: i am a 7th grade child and i dont know an idea of how to solve this..... just kidding but its b :) hopefully this will help u

Step-by-step explanation:

5 0
3 years ago
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