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enyata [817]
3 years ago
5

Lines m and n are parallel and m<1=140* What is m<7?

Mathematics
1 answer:
Arada [10]3 years ago
6 0
m\angle 7=180-m\angle 5\\&#10;m\angle 5=m\angle 1=140\\&#10;m\angle 7=180-140\\&#10;m\angle 7=40
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You want to make a rectangular banner that is 18ft. Long with a trim around the entire border of the banner . You have no more t
lys-0071 [83]

Answer:

6 ft

Step-by-step explanation:

Given that:

Length of rectangular banner = 18 ft

Total trim of banner available = 48 ft

To find:

Possible widths of the banner = ?

Solution:

Maximum trim available of the banner around the entire border of the banner = 48 ft

i.e. we are given the total perimeter of the rectangular banner.

Formula for perimeter of a rectangle is given as:

Perimeter = 2 \times (Length + Width)

Putting the values of perimeter and length to find the value of width.

48 = 2 \times (18 + Width)\\\Rightarrow 48 =36+2 \times Width\\\Rightarrow 2 \times Width = 48-36\\\Rightarrow 2 \times Width = 12\\\Rightarrow \bold{Width = 6\ ft}

So, width possible is <em>6ft.</em>

3 0
3 years ago
Work out m and c for the line:2y+3x=5
Gekata [30.6K]

Step-by-step explanation:

General line equation: y = mx + c.

2y + 3x = 5

2y = -3x + 5

y = -1.5x + 2.5

Hence m = -1.5 and c = 2.5.

5 0
2 years ago
Read 2 more answers
Is this an example of a horizontal asymptote?
8_murik_8 [283]

Answer:

Step-by-step explanation:

Hi there,

The graph indicated is showing a horizontal asymptote. In fact, it is showing both a horizontal and a <em>vertical </em>asymptote.

To tell which type it is, notice where the graph "shoots off" and almost forms an imaginary straight line in one direction. Using this logic, the horizontal asymptote will be exactly horizontal, parallel to x-axis, and vertical asymptote will be exactly vertical, parallel to y-axis.

With this graph, we notice the horizontal asymptote is at y=0, where the x-axis is. The vertical asymptote is bit more difficult to determine graphically, but can definitely say it is past x=-10. We could determine it if we had the function, but that is not necessary for this question.

Study well, and persevere. If you liked this solution, leave a Thanks or give a rating!

thanks,

6 0
3 years ago
How many variable terms are in the expression 3x3y + 5xz − 4y + x − z + 9? (Input a numeric value only.)
Sunny_sXe [5.5K]
It would be three.....
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2 years ago
Read 2 more answers
Data collected over a long period of time show that the length of time x to complete a particular college entrance test is norma
Finger [1]

Using the z-table, the probability that a student taking this test will finish in 100 minutes or less is 0.0824 or 8.24%.

For a normally distributed set of data, given the mean and standard deviation, the probability can be determined by solving the z-score and using the z-table.

First, solve for the z-score using the formula below.

z-score = (x – μ) / σ

where x = individual data value = 100

μ = mean = 125

σ = standard deviation = 18

z-score = (100 – 125) / 18

z-score = (-25) / 18

z-score = -1.39

Find the probability that corresponds to the z-score in the z-table. (see attached images)

-1.39 - (-1.3) : -1.4 - (-1.3) = x - 0.0968 : 0.0808 - 0.0968

-0.09 : -0.1 = x - 0.0968 : -0.016

x - 0.0968 = -0.09(-0.016)/-0.1

x = -0.0144 + 0.0968

x = 0.0824

x = 0.0824

Hence, the probability that a student taking this test will finish in 100 minutes or less is 0.0824 or 8.24%.

Learn more about probability here: brainly.com/question/26822684

#SPJ4

7 0
1 year ago
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