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3 years ago

From the given figure 7 ,find the value of x if AB is parallel CF and AE = DE, angle BAE = 38°.

Mathematics

1 answer:

Ganezh [65]3 years ago

5 0

*see the given given in the attachment below

Answer:

x = 109°

Step-by-step Explanation:

Since AB is parallel to CF, m<BAE = m<AED = 38° (alternate interior angles are congruent)

Since AE = DE, ∆AED is an isosceles ∆.

The two base angles of any given isosceles ∆ are said to be congruent.

This means, m<EAD = m<EDA = ½(180 - m<AED)

m<EDA = $\frac{1}{2}*(180 - 38)$

m<EDA = $\frac{1}{2}*(142) = 71$

x + m<EDA = 180° (angle on a straight line)

$x + 71 = 180$

$x + 71 - 71 = 180 - 71$

$x = 109$

Value of x = 109°

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4 years ago

The data represents the number of runs allowed by 8 college softball pitchers. {18, 49, 38, 41, 33, 44, 42, 22}

lawyer [7]

This Question is incomplete

Complete Question:

The data represents the number of runs allowed by 8 college softball pitchers. {18, 49, 38, 41, 33, 44, 42, 22}

What is the five number summary:

a) Minimum

b) Q₁

c) Median

d) Q₃

e) Maximum

Answer:

a) Minimum = 18

b) Q₁ = 27.5

c) Median = 39.5

d) Q₃ = 43

e) Maximum = 49

Step-by-step explanation:

From the above diagram, we were given the following set of data.

{18, 49, 38, 41, 33, 44, 42, 22}

Before answering any of the questions, we have to rearrange the data from the lowest to the highest (ascending order). Hence, we have:

{18, 22, 33, 38, 41, 42, 44, 49}

a) Minimum

{18, 22, 33, 38, 41, 42, 44, 49}

Looking at this set of arranged data, the minimum number is the least or lowest number.

This number is 18

b) Q₁

{18, 22, 33, 38, 41, 42, 44, 49}

Q₁ means First Quartile. The formula is = ¼(n + 1)th value

n = Number of terms in the data set = 8

= ¼(8 + 1)th value

= ¼(9)th value

= 2 1/4 value

= 2.25 value

In the above Question, the 2.25 value is the value between the second and third number.

Hence:

22+33/2 = 55/2 = 27.5

Therefore, Q₁ = 27.5

c) Median

{18, 22, 33, 38, 41, 42, 44, 49}

The median of the number is the number in the middle

For this data, we have 8 number, Hence the median is the sum of the 4th and 5th term divided by 2

4th term = 38

5th term = 41

= 38 + 41/ 2 = 79/2

= 39.5

Hence, the median = 39.5

d) Q₃

{18, 22, 33, 38, 41, 42, 44, 49}

Q₃ means Third Quartile. The formula is = ¾(n + 1)th value

n = Number of terms in the data set = 8

= ¾(8 + 1)th value

= ¾(9)th value

= 6 3/4 value

= 6.75 value

In the above Question, the 6.75 value is the value between the sixth and seventh number.

Hence:

42+44/2 = 86/2 = 43

Therefore, Q₃ = 43

e) Maximum

{18, 22, 33, 38, 41, 42, 44, 49}

Looking at this set of arranged data, the Maximum number is the highest number.

This number is 49

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4 years ago

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Step-by-step explanation:

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3 years ago

Read 2 more answers

What is the equation for this math problem? Steven spent $90 on clothes. He bought a pair of jeans that cost $34 and spent the r

dexar [7]

Answer:

The equation for the given maths problem is $ 34 + $ 8x = $ 90

Step-by-step explanation:

According to question :

The Total amount spent on cloths = $ 90

The cost of a pair of jeans = $ 34

The cost of each t-shirt pair = $ 8

The amount spent on t-shirt = $ 90 - $ 34 = $ 56

Let the number of t-shirt pair = x

So, $ 34 + $ 8x = $ 90

Or, $ 8x = $ 90 - $ 34

∴ x = $\frac{ 90 - 34}{8}$

Hence The equation for the given maths problem is $ 34 + $ 8x = $ 90 Answer

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3 years ago