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s344n2d4d5 [400]
3 years ago
13

The points ( 2,4) and (5,y) lie on the same line. If the slope of the line is -IA, what is the value of y

Mathematics
1 answer:
raketka [301]3 years ago
4 0

Answer:

<h3>y = 1</h3>

Step-by-step explanation:

Correct question

The points ( 2,4) and (5,y) lie on the same line. If the slope of the line is --1, what is the value of y

The formula for calculating slope of a line is expressed as;

m = y2-y1/x2-x1

Substitute the given point

y - 4/5-2 = -1

y-4/3 = -1

y-4 = -3

y = -3+4

y = 1

Hence the value of y is 1

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What is the solution to 3/4b=8
soldier1979 [14.2K]

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b=\frac{32}{3}

Step-by-step explanation:

\frac{3}{4}b=8

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4\times \frac{3}{4}b=8\times4

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\frac{3b}{3}=\frac{32}{3}

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3 years ago
Given klmn is a trapezoid, kl = mn, m&lt;1 = m&lt;2, lm/kn = 8/9, pklmn = 132. Find: the length of the legs
Ilia_Sergeevich [38]

Answer:

The length of legs lm, mn, and lk is 32 while that of kn is 36.

Step-by-step explanation:

The diagram is attached in the answer.

As both the angles are equal thus the two forms isosceles triangles. This is true because the converse of base angle theorem is applicable here. The theorem clearly states that when a trapezoid is divided by the diagonal, it forms two set of angles where m<1=m<2 and m<lmk=m<nmk

This leads the two set of legs such as

\dfrac{lm}{kn}=\dfrac{8}{9}

Or this could be written as

lm=8x\\kn=9x

Now the remaining two sides are given as

lk=lm as this form an isosceles triangle so

lk=8x

Similarly

mn=lm\\

Or

mn=8x

Now the perimeter is given as

\text{perimeter}=lm+mn+kn+lk\\

Here perimeter is given as 132 so this gives:

\text{perimeter}=lm+mn+kn+lk\\132=8x+8x+8x+9x\\132=33x\\x=\dfrac{132}{33}\\x=4

So the four legs are of length as given below:

lm=8x=8\times 4=32\\mn=8x=8\times 4=32\\lk=8x=8\times 4=32\\kn=9x=9\times4=36

So the length of legs lm, mn, and lk is 32 while that of kn is 36.

6 0
2 years ago
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