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Alik [6]
3 years ago
8

Given 2 lines cut by a transversal, what would the m<7 have to be if m <4=85 for the lines to be parallel and what is the

relationship between <7 and <4​

Mathematics
1 answer:
nlexa [21]3 years ago
8 0

Answer:

85º

Step-by-step explanation:

<7=<4 since we know the lines are parallel, and intersected at the same angle

Therefore, <7=85º.

You might be interested in
Suppose that the concentration of a bacteria sample is 60 comma 000 bacteria per milliliter. If the concentration triples in 4 ​
Elodia [21]

Answer:

1.932 days (or approximatelly 1 day, 22 hours and 22 minutes)

Step-by-step explanation:

The inicial concentration is 60,000, and this concentration triples every 4 days, so we can write the equation:

P = Po * r^t

where P is the final concentration after t periods of 4 days, Po is the inicial concentration and r is the ratio that the concentration increases (r = 3)

Then, we have that:

102000 = 60000 * 3^t

3^t = 102/60 = 1.7

log(3^t) = log(1.7)

t*log(3) = log(1.7)

t = log(1.7)/log(3) = 0.483

so the number of days that will take is 4*0.483 = 1.932 days (or approximatelly 1 day, 22 hours and 22 minutes)

3 0
3 years ago
The sum of the first five terms of 3,-9,27,-81
xeze [42]

Answer:

<em>183</em>

Step-by-step explanation:

The answer above is correct, but I do want to elaborate on how to receive this answer;

This pattern takes an alternate of positive and negative numbers at a time. If you can see for each positive number, there is a negative consecutively. Imagine these values were all positive. What would then be the difference between each? 3 * 3 = 9, 9 * 3 = 27, 27 * 3 = 81, and so each number would be 3 times the other. Now let us go back to the state we have at hand, negative and positive numbers. 81 * 3 = 243, and as we alternate between negative and positive numbers, 243 should be positive as the previous number - 81, is negative. We have now received our 5th term!

The questions asks us to determine the sum of each of the terms however, so let us do so;

3 - 9 + 27 - 81 + 243,\\- 6 + 27 - 81 + 243,\\21 - 81 + 243,\\- 60 + 243,\\\\183\\Solution = 183

Hope that helps as well!

4 0
3 years ago
Find the slope and y-intercept of line<br><br> -3x+5y=10
Lisa [10]
-3x+5y=10 (add 3x on both side)
5y=3x+10 ( divide 5 to each term)
y=3/5x+2
slope is 3/5
y-intercept is 2

7 0
4 years ago
Read 2 more answers
Consider the function.
Dennis_Churaev [7]

Answer:

12

Step-by-step explanation:

This function can also be seen as:

y=x+12

This is written in slope-intercept form:

y=mx+b

m is the slope and b is the y-intercept.

Therefore, the y-intercept of f(x) is 12.

:Done

4 0
3 years ago
Thank u so much much appreciated
attashe74 [19]

Answer:

A

Step-by-step explanation:

The definition of a parrelelogram is "a four-sided plane rectilinear figure with opposite sides parallel". Since you already know that EH and Fg are equal because of the black ticks on them. Now you only need to find out wheter or not  EF≅HG to meet the criteria of a parrelologram.

7 0
4 years ago
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