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kipiarov [429]
3 years ago
6

What additional information would you need to prove that ΔABC ≅ ΔDEF by ASA?

Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
6 0

Yes this is the correct answer

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The sum of the first five terms of 3,-9,27,-81
xeze [42]

Answer:

<em>183</em>

Step-by-step explanation:

The answer above is correct, but I do want to elaborate on how to receive this answer;

This pattern takes an alternate of positive and negative numbers at a time. If you can see for each positive number, there is a negative consecutively. Imagine these values were all positive. What would then be the difference between each? 3 * 3 = 9, 9 * 3 = 27, 27 * 3 = 81, and so each number would be 3 times the other. Now let us go back to the state we have at hand, negative and positive numbers. 81 * 3 = 243, and as we alternate between negative and positive numbers, 243 should be positive as the previous number - 81, is negative. We have now received our 5th term!

The questions asks us to determine the sum of each of the terms however, so let us do so;

3 - 9 + 27 - 81 + 243,\\- 6 + 27 - 81 + 243,\\21 - 81 + 243,\\- 60 + 243,\\\\183\\Solution = 183

Hope that helps as well!

4 0
3 years ago
X =4<br> x+y=-6<br> 4x - 3y + 2z = 26
slega [8]

Answer:

x = 4 ,y = -10 , z = -10  

Step-by-step explanation:

Solve the following system:

{y + 4 = -6 | (equation 1)

16 - 3 y + 2 z = 26 | (equation 2)

Express the system in standard form:

{y+0 z = -10 | (equation 1)

-(3 y) + 2 z = 10 | (equation 2)

Swap equation 1 with equation 2:

{-(3 y) + 2 z = 10 | (equation 1)

y+0 z = -10 | (equation 2)

Add 1/3 × (equation 1) to equation 2:

{-(3 y) + 2 z = 10 | (equation 1)

0 y+(2 z)/3 = (-20)/3 | (equation 2)

Multiply equation 2 by 3/2:

{-(3 y) + 2 z = 10 | (equation 1)

0 y+z = -10 | (equation 2)

Subtract 2 × (equation 2) from equation 1:

{-(3 y)+0 z = 30 | (equation 1)

0 y+z = -10 | (equation 2)

Divide equation 1 by -3:

{y+0 z = -10 | (equation 1)

0 y+z = -10 | (equation 2)

Collect results:

Answer: y = -10 , z = -10

6 0
3 years ago
Riya is applying mulch to her garden. She applies it at a rate of 250,000 cm^3 for every m^2 of garden space
Fudgin [204]
Rate is the change in one variable in relation to another variable. Generally, rate is calculated as follows:

R = ΔV1/ΔV2

Where
R = Rate
ΔV1 = Change in variable 1
ΔV2 = Change in variable 2

In the current scenario,
ΔV1 = 250,000 m^3 of mulch applied
ΔV2 = 1 m^2 of garden space

Therefore,
Rate of applying much is, R = 250,000/1 = 250,000 m^3/m^2
8 0
3 years ago
Read 2 more answers
What 2 numbers multiply to get -120, but add to get 2?
Evgen [1.6K]
-10 times 12
Hope I Helped!
6 0
3 years ago
PLEASE HELP ITS DUE IN 3 MINUTES!!! Find the length of the unknown side. Round your answer to the nearest tenth.
olga55 [171]

Answer:

I need to see the image of the shape I think In order to answer

4 0
3 years ago
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