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timurjin [86]
2 years ago
5

How do you write 6.359 × 10^-14 in standard form?

Mathematics
1 answer:
elixir [45]2 years ago
6 0

6.359*10^-^1^4

Standard form:

-6.359*10^-^1^4

Since the exponent of the scientific notation is negative −14, move the decimal point 14 places to the left. 0.00000000000006359.

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Based on the information given say whether or not △ABC∼△FED. Explain your reasoning.
GalinKa [24]

Answer:

Yes, △ABC ∼ △FED by AA postulate.

Step-by-step explanation:

Given:

Two triangles ABC and FED.

m∠A = m∠B

m∠C = m∠A + 30°

m∠E = m∠F = x

m∠D = 2x-20°.

Now, let m∠A = m∠B = y

So, m∠C = m∠A + 30° = y+30

Now, sum of all interior angles of a triangle is 180°. Therefore,

m∠A + m∠B +  m∠C = 180

y+y+y+30=180\\3y=180-30\\3y=150\\y=\frac{150}{3}=50

Therefore, m∠A = 50°, m∠B = 50° and m∠C =  m∠A + 30° = 50 + 30 = 80°.

Now, consider triangle FED,

m∠D+ m∠E + m∠F = 180

2x-20+x+x=180\\4x=180+20\\4x=200\\x=\frac{200}{4}=50

Therefore,  m∠F = 50°  

m∠E = 50° and  

m∠D =  2x-20=2(50)-20=100-20=80\°

So, both the triangles have congruent corresponding angle measures.

m∠A = m∠F = 50°

m∠B = m∠E = 50°

m∠C = m∠D = 80°

Therefore, the two triangles are similar by AA postulate.

5 0
3 years ago
3x+2y-z=8<br> -3x+4y+5z=-14<br> X-3y+4z=-14
Luda [366]

Answer:

B? I think

Step-by-step explanation:

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4 0
3 years ago
What is the value of x when -3x + 7x = -12?
Natalka [10]
-3 + 7x = -12

First, simplify -3x + 7x to get 4x. / Your problem should look like: 4x = -12
Second, divide both sides by 4. / Your problem should look like: x = - \frac{12}{4}
Third, simplify \frac{12}{4} to 3. / Your problem should look like: x = -3

Answer: x = -3

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3 years ago
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Vaselesa [24]

Answer:

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Step-by-step explanation:

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