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Fantom [35]
3 years ago
15

If the perimeter of a triangle is 10x + 5y and two of the sides are 3x + 4y and 5x − y, which is the third side? A. 2x + 2y B. 2

x + y C. −2x + 2y D. x + 2y
Mathematics
1 answer:
Vlad [161]3 years ago
5 0
The measures of two sides of a triangle are 3x + 4y and 5x - y. If the perimeter is 10x + 5y, find the measure of the third side. 

<span>Let measure of the 3rd side be 'b'. </span>

<span>Substitute the values of length of the two sides and perimeter in equation and solve for b. </span>

<span>So, 10x + 5y = 3x + 4y + 5x - y + b..........[Substitute the values] </span>
<span>10x + 5y = 8x + 3y + b </span>
<span>(10x + 5y) - (8x + 3y) = b </span>
<span>10x + 5y - 8x - 3y = b </span>
<span>10x - 8x + 5y - 3y = b </span>
<span>2x + 2y = b </span>

<span>So, the measure of the third side is 2x + 2y. </span>
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There are 102102 students in a statistics class. The instructor must choose two students at random. Students in a Statistics Cla
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Answer:

0.0087 probability that a freshman non-Statistics major and then a junior Statistics major are chosen at random

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

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8 0
3 years ago
The school band collected $2,892 for 480 tickets sold to their spring concert. Adult tickets were $8 each and student tickets we
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5 0
4 years ago
Read 2 more answers
(-4, -2); y = - 2x + 4
padilas [110]

Answer:

y = -2x - 10

Step-by-step explanation:

Slope intercept form of equation is of form

y = mx+c

where m is the slope of line and c is the y intercept of the line.

Y intercept is point on y axis where the line intersects the y axis.

_____________________________

Given equation

y = -2x +4

comparing it with y = mx+ c

m = -2 , c = 4

_____________________________

when two lines are parallel, their slopes are equal.

Let the equation of new line in slope intercept form be y = mx + c

Thus slope of of new required line is -2

Thus m for new line is -2.

now, equation of required line : y = -2x+c

Given that this line passes through (-4, -2). This point shall should satisfy equation  y = -2x+c.

Substituting the value of (-4, -2) we have

-2 = -2(-4)+c

=> -2 = 8 +c

=> -2 -8 = c

=> c = -10.

Thus , equation of required line is  y = -2x - 10.

8 0
3 years ago
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