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kotykmax [81]
2 years ago
8

Vernon's work for finding the value of x is shown below. Lines A C and B D intersect at point E. Angle A E D is (16 x + 8) degre

es and angle D E C is 76 degrees. Step 1: 16x + 8 = 76 Step 2: 16x = 68 Step 3: x = 4.25 Did Vernon solve for the correct value of x? If not, explain where he made his error. Yes, he solved for the correct answer. No, he should have set the sum of ∠AED and ∠DEC equal to 180°, rather then setting ∠AED and ∠DEC equal to each other. No, he should have added 8 to both sides rather than subtracting 8 from both sides. No, he should have multiplied both sides by 16 rather than dividing both sides by 16.
Mathematics
2 answers:
Marta_Voda [28]2 years ago
5 0

Answer:

<em>No, he should have set the sum of ∠AED and ∠DEC equal to 180°, rather then setting ∠AED and ∠DEC equal to each other</em>

Step-by-step explanation:

Find the diagram attached

If line AC and BD intersects, then m<AED + m<DEC = 180 (sum of angle on a straight line is 180 degrees)

Given

m<AED = 16x+8

m<DEC = 76 degrees

16x + 8 + 76 = 180

16x + 84 = 180

16x = 180-84

16x = 96

x = 96/16

x = 6

Hence the value of x is 6

Hence the correct option is <em>No, he should have set the sum of ∠AED and ∠DEC equal to 180°, rather then setting ∠AED and ∠DEC equal to each other</em>

ANEK [815]2 years ago
4 0

Answer:

b is correct

Step-by-step explanation:

Yes, he solved for the correct answer.

✔No, he should have set the sum of ∠AED and ∠DEC equal to 180°, rather then setting ∠AED and ∠DEC equal to each other.

No, he should have added 8 to both sides rather than subtracting 8 from both sides.

No, he should have multiplied both sides by 16 rather than dividing both sides by 16.

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Find the mean absolute deviation (MAD) of the data set of 0.4, 0.2, 0.4, 0.6
kupik [55]

Answer:

Assuming data is from population, 0.1

Step-by-step explanation:

7 0
2 years ago
NO LINKS!!
dexar [7]

Answer: Anything between 0 and 10, excluding both endpoints.

In terms of symbols we can say 0 < w < 10 where w is the width.

===================================================

Explanation:

You could do this with two variables, but I think it's easier to instead use one variable only. This is because the length is dependent on what you pick for the width.

w = width

2w = twice the width

2w-5 = five less than twice the width = length

So,

  • width = w
  • length = 2w-5

which lead to

area = length*width

area = (2w-5)*w

area = 2w^2-5w

area < 150

2w^2 - 5w < 150

2w^2 - 5w - 150 < 0

To solve this inequality, we will solve the equation 2w^2-5w-150 = 0

Use the quadratic formula. Plug in a = 2, b = -5, c = -150

w = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\w = \frac{-(-5)\pm\sqrt{(-5)^2-4(2)(-150)}}{2(2)}\\\\w = \frac{5\pm\sqrt{1225}}{4}\\\\w = \frac{5\pm35}{4}\\\\w = \frac{5+35}{4} \ \text{ or } \ w = \frac{5-35}{4}\\\\w = \frac{40}{4} \ \text{ or } \ w = \frac{-30}{4}\\\\w = 10 \ \text{ or } \ w = -7.5\\\\

Ignore the negative solution as it makes no sense to have a negative width.

The only practical root is w = 10.

If w = 10 feet, then the area = 2w^2-5w results in 150 square feet.

----------------------

Based on that root, we need to try a sample value that is to the left of it.

Let's say we try w = 5.

2w^2 - 5w < 150

2*5^2 - 5*5 < 150

25 < 150 ... which is true

This shows that if 0 < w < 10, then 2w^2-5w < 150 is true.

Now try something to the right of 10. I'll pick w = 15

2w^2 - 5w < 150

2*15^2 - 5*15 < 150

375 < 150 ... which is false

It means w > 10 leads to 2w^2-5w < 150  being false.

Therefore w > 10 isn't allowed if we want 2w^2-5w < 150 to be true.

4 0
2 years ago
Please help =/ And my heard hurt...
Ber [7]
Not too sure but i think it’s D
4 0
2 years ago
K/75 + 57.1 = 40.8<br> k = ?
Ronch [10]
K/75 + 57.1 = 40.8

k/75 = 40.8 - 57.1

k/75 = -16.3

k = -16.3 • 75

k = -1222.5 or -1222 1/2

Hope it helps!
5 0
3 years ago
What is 2x + 2y equal?
alekssr [168]
If you're trying to factor it, the answer would be >> 2<span>(<span>x+y</span><span>)


</span></span>
6 0
3 years ago
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