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4 years ago

Find the value of x and y

Mathematics

2 answers:

Alex Ar [27]4 years ago

6 0

X = 12
Y = 10.28

Hope I helped!

Alik [6]4 years ago

4 0

Line EB is the mid segment of the triangle

EB and DC are parallel if angle EBA is equal to angle DCB

4x - 3 = 3x + 9 now solve for x

-3x -3x

x -3 = + 9

-3 -3

x = 12

Now I know x and 3x +9, so sub in for x

3(8) + 9 = 32 + 9 = 41

now we know angle EBA

and angle EBA and angle EBC are a linear pair meaning when I add them together they equal 180

angle EBA + angle EBC = 180

41 + 14y - 5 = 180 now solve for y

36 + 14y = 180

-36 -36

14y = 144

/14 /14

y = 10.28

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Can someone help me solve this geometry problem down below?

TiliK225 [7]

Answer:

x = 29

Step-by-step explanation:

Given that both triangles are congruent to each other, therefore, their corresponding angles are congruent as well. This means all three angles in one is the same as all three corresponding angles of the other.

Therefore:

m<CAB = m<CDE = 74°

m<ABC = 2x (given)

m<BCA = 48° (given)

Thus:

m<CAB + m<ABC + m<BCA = 180° (sum of triangle)

Substitute

74 + 2x + 48 = 180

Add like terms

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3 years ago

Consider each equation. is it the equation of the line that is parallel or perpendicular to y=3x+2? Select yes or no for a-c

Mkey [24]

Answer:

see explanation

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x + 2 is in this form with slope m = 3

• Parallel lines have equal slope

• The slopes of perpendicular lines are negative reciprocals of each other

y = - $\frac{1}{3}$ x - 8 has slope m = - $\frac{1}{3}$

3 and - $\frac{1}{3}$ are negative reciprocals

This line is perpendicular to y = 3x + 2

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This line is parallel to y = 3x + 2

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5 0

3 years ago

Determine the area of this triangle...

yanalaym [24]

Answer:

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Step-by-step explanation:

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4 0

4 years ago

Read 2 more answers

Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues. text({) 1/4,

lesya [120]

Answer:

The general term for the given sequence is:

$a_n=(-1)^{n+1}\dfrac{n}{(n+1)^2}$

Step-by-step explanation:

The given series is:

$\dfrac{1}4, - \dfrac{2}9, \dfrac{3}{16}, - \dfrac{4}{25}, ......$

First of all, let us have a look at the positive and negative sign of the sequence.

2nd, 4th, 6th ..... terms have a negative sign.

For this we can use the following

$(-1)^{n+1}$

i.e. Whenever 'n' is odd, power of (-1) will become even resulting in a positive term for odd terms i.e. (1st, 3rd, 5th ........ terms)

Whenever 'n' is even, power of (-1) will become odd resulting in a negative term for even terms i.e. (2nd, 4th, 6th ..... terms)

Now, let us have a look at the numerator part:

1, 2, 3, 4.....

It is simply $n$ .

Now, finally let us have a look at the denominator:

4, 9, 16, 25 ......

There are squares of the (n+1).

i.e. 1st term has a square of 2.

2nd term has a square of 3.

and so on

So, it can be represented as:

$(n+1)^2$

$\therefore$ nth term of the sequence is:

$a_n=(-1)^{n+1}\dfrac{n}{(n+1)^2}$

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3 years ago

Suppose the mean percentage in Algebra 2B is 70% and the standard deviation is 8% What percentage of students receive between a

LUCKY_DIMON [66]

Answer:

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Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Suppose the mean percentage in Algebra 2B is 70% and the standard deviation is 8%.

This means that $\mu = 70, \sigma = 8$