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Rasek [7]
3 years ago
13

A ladder leaning against a wall forms a triangle and exterior angles with the wall and the ground. What are the measures of the

two exterior angles? (These are (1) the ladder to the ground and (2) the ladder to the side of the house.) Justify your answer.

Mathematics
1 answer:
Paha777 [63]3 years ago
7 0
11x° is interior angle of ladder to the ground
and 7X° is interior angle of ladder to the wall

exterior angle of a ladder to wall is 180-7x
and exterior angle of a ladder to ground is 180-11x
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HELP ASAP PLEASE
Roman55 [17]

Answer:

a. median is 8

b. first quartile is 7

c. third quartile is 9.5

d. below

e. below

Step-by-step explanation:

7, 10, 10, 6, 7, 8, 8, 7, 9.

Place number in order least to greatest

6, 7, 7, 7, 8, 8, 9, 10, 10

a. What is the median?

The median is the middle number in a data set

number of terms in data set (n) + 1 / 2 =

9 + 1 / 2 = 10 / 2

<u>6, 7, 7, 7,</u> 8, <u>8, 9, 10, 10</u>

The median is 8

b. What is the first quartile?

Q1 is the central point between the smallest score and the median

<u>6,</u> 7, 7<u>, 7 </u>

since there is even number of data points you find the average,

7 + 7 / 2 = 14 / 2 = 7

c. What is the third quartile?

Q3 is the central point between the median and the largest score

<u>8</u>, 9, 10, <u>10</u>

since there is even number of data points you find the average,

9 + 10 / 2 = 19 / 2 = 9.5

d. Draw a box plot of the data.

below

e. Write two conclusions about the data shown in the box plot.

There are no outliers with a minimum of 6 and a maximum of 10. The Interquartile Range is 2.5 (9.5 - 7)

3 0
2 years ago
The surface area, S, of a right rectangular prism with length, l, width, w, and height, h can be found using the formula below.
anygoal [31]

Answer:

246 in^2

Step-by-step explanation:

Given data

Length= 8 in

Width= 3 in

Height= 9 in

SA= 2( lw + wh + hl)

substitute

SA= 2(8*3+ 3*9+ 9*8)

SA= 2(24+ 27+72)

SA= 2(123)

SA= 246 in^2

Hence the SA is 246 in^2

4 0
2 years ago
if m is the least prime number and n is the least positive integer multiple of 12, what is the difference between n and m
ElenaW [278]

Answer:

10

Step-by-step explanation:

m = least prime number = 2

n = least positive integer multiple of 12 = 12

n - m = 12 - 2 = 10

8 0
2 years ago
Read 2 more answers
Tim and his family want to place a flower bed in the backyard and have a pretty border around it. They have chosen to make it a
abruzzese [7]

Answer:

Area = 60

Step-by-step explanation:

(h b)/2

h = 10

b = 12

12 x 10 = 120

120/2 = 60

(h = height and b = base)

6 0
3 years ago
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What is the surface area of a triangular pyramid if each face has an area of 80 m2?
TiliK225 [7]
There are 4 sides in a triangular pyramid. So just multiply 80m2 by 4
80×4=24
7 0
3 years ago
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