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kotykmax [81]
3 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]3 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]3 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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Mary crocheted a rectangular blanket whose diagonal measures approximately 7.21 feet. What are the most likely length and width
mote1985 [20]

Answer:

If both sides are integers, one side will be 4 feet and the other will be 6 feet. The other solution is the symmetrical solution (4 feet instead of 6 feet, and 6 feet instead of 4 feet).

Step-by-step explanation:

We have a rectangular blanket, that has a diagonal that measures h=7.21 feet.

The two sides of the rectangle a and b can be related to the diagonal h by the Pithagorean theorem:

a^2+b^2=h^2

Then, we can express one side in function of the other as:

a^2+b^2=h^2\\\\a^2=h^2-b^2\\\\a=\sqrt{h^2-b^2}=\sqrt{7.21-b^2}=\sqrt{52-b^2}

Then, if we define b, we get the value of a that satisfies the equation.

A graph of values of a and b is attached.

If both side a and b are integers, we can see in the graph that are only two solutions: (b=4, a=6) and (a=4, b=6).

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3 years ago
A gumball machine has different flavors sour apple,grape,orange and cherry . There are six of each flavor. $.50 are put in the m
tamaranim1 [39]

Answer:

30/552

Step-by-step explanation:

In order to solve this problem you need to multiply the probability of getting grape for the first gumball with the probability of getting grape for the second gumball. Since there are 6 grape gumballs and a total of 24 gumballs (6*4). Then the probability of getting grape for the firs one is

\frac{6}{24}

Now there are only 5 grape gumballs available and one less in the total supply, therefore the probability of getting grape in the second try is

\frac{5}{23}

Finally we multiply them together to find the probability of getting two grapes in a row.

\frac{6*5}{24*23} = \frac{30}{552}

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Answer:

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Step-by-step explanation:

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