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Mars2501 [29]
3 years ago
9

In the diagram, what is the measure of angle 1?

Mathematics
2 answers:
kozerog [31]3 years ago
6 0

Answer:

45

Step-by-step explanation:

3x+9x=180

x=180/12=15

<3x=<1

3x=3*15=45

then <1 =45

grin007 [14]3 years ago
5 0
3X+9X=180
12X=180
X=15°
Angle 1=3X
Angle 1 =45°
That's your answer.
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Find the missing dimension.
Alecsey [184]

Answer:

2 m

Step-by-step explanation:

Here the area and the lengths of the two parallel sides of this trapezoid are given:

A = 7m^2, b1 = 3 m and b2 = 4 m.  What's missing is the width of the trapezoid.

First we write out the formula for the area of a trapezoid:

       b1 + b2

A = --------------- * w, where w represents the width of the figure.

             2

We need to solve this for the width, w.  Multiplying both sides of the above equation by

     2

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

b1 + b2

results in

 2A

------------ = w

b1 + b2

Substituting 7 m^2 for A, 3 m for b1 and 4 m for b2 results in

        2(7 m^2)           14 m^2

w = ------------------ = ---------------- = 2 m

        (3 + 4) m             7 m

The missing dimension is the width of the figure.  This width is 2 m.

4 0
3 years ago
1 2 3 4 5 6 7 8 9 10 11 12 13
Rina8888 [55]

Answer:

The mean will increase more than the median, but both will increase.

[third option listed]

Step-by-step explanation:

the <em>median </em>of a data set is the number in the middle [when listed from lowest to highest in value]

1 2 3 4 5 6 7 8 9 10 11 12 13

is the current median

let's consider what adding 12 would mean--it would mean that we move the median slightly higher [further along in the data set] because there are more numbers (but let's try this out to confirm:)

1 2 3 4 5 6 7 8 9 10 11 12 12 13

[if a median placement is shared between two numbers, the mean/average of those two numbers is taken, and that is considered to be the median]

so, 7.5 is the current median

(this is an increase of 0.5)

--

the <em>mean</em> of a data set is what we commonly refer to as the "average"

[you find this value by adding all of the numbers in the data set together and dividing by the number of terms in the data set]

1 2 3 4 5 6 7 8 9 10 11 12 13

mean of original data set:

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + 13 [= 91]

_______________________________________

                                    13

[91 ÷ 13 = 7]

because our number is <em>greater </em>than our original mean [12 > 7], we know that the mean must increase:

[91 + 12 = 103]

[103 ÷ 14 ≈ 9.36]

[we had an increase of 2.36]

so, median increased by 0.5, mean increased by 2.36

so, both values increased, whilst the mean increased by <em>more </em>than the median [as to be expected]

you could also express this as "The mean will increase more than the median, but both will increase." [third option listed]

hope this helps!! :)

3 0
2 years ago
The sum of (3 - 5i) + (-2 + 8i) is
andreyandreev [35.5K]

Answer:

<em><u>Answer is below</u></em>

Step-by-step explanation:

<u><em>3−5i−2+8i</em></u>

<u><em>=1+3i</em></u>

8 0
3 years ago
PLEASE HELP
Mumz [18]
If you use/make a number line, then you will see that the answer is -18 or a. When using a number line, negative = ← and positive = →.
6 0
3 years ago
Use the drop-down menus to complete the statements about Euler's life after he lost his sight. After the cataract took Euler's s
Sav [38]

Answer: after the cataract took Euler’s sight he wrote more books and articles. He wrote 450 books after he lost his eye sight.

Step-by-step explanation:

Got it correct on edge.

5 0
3 years ago
Read 2 more answers
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