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BaLLatris [955]
3 years ago
9

Consider the following equation.

Mathematics
1 answer:
siniylev [52]3 years ago
6 0

Answer:

A

Step-by-step explanation:

To find the perpendicular line you need to find the negative reciprocal of 4/7x which is -7/4x, so A is the correct answer

I hope this helps!!

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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
What are two powers of 10 that are greater than 100,000
CaHeK987 [17]

10⁶= 1 million= 1,000,000

10⁷=10 million= 10,000,000

5 0
3 years ago
What is 9x+10-2x+1 simplified?
Alexxandr [17]

Answer:

11+7x

Step-by-step explanation:

Simplifying

9x + 10 + -2x + 1

Reorder the terms:

10 + 1 + 9x + -2x

Combine like terms: 10 + 1 = 11

11 + 9x + -2x

Combine like terms: 9x + -2x = 7x

11 + 7x

Final result:

11 + 7x

7 0
3 years ago
-7/8 - (-h) = -7/12<br> solve for h<br> pls show work
Westkost [7]

Answer:

The answer is 7/24.

Step-by-step explanation:

I attached a picture, but I'll try to walk through it here.

1) A negative and a negative makes a positive, so h becomes positive.

2) I added 7/8 to both sides, in order to "isolate the variable", which simply means to get h by itself, on one side of the equation (you'll likely hear it said both ways).

3) I multiplied 7/8 by 3/3, and multiplied -7/12 by 2/2. This is known as a common denominator, which in this case is 24. You can only add and subtract fractions that have a common denominator.

4) Multiply both of the fractions to get 21/24 + (-14/24). "Adding a negative" is the same thing as subtracting.

5) 21 - 14 = 7, and since our denominators are the same, the answer is 7/24.

You can confirm the answer by substituting, or "plugging" 7/24 into your original equation, in place of h.

6 0
3 years ago
How do i find the constant rate of change in a graph
Marta_Voda [28]

Answer:

isnt it by the Y-intercept?

Step-by-step explanation:

5 0
3 years ago
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