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3 years ago

Consider the following pair of equations:

Mathematics

1 answer:

Mariana [72]3 years ago

8 0

Hellooo..
my answer is (-4,2)

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Given m || n, find the value of x

il63 [147K]

Answer:

if m and n are parallel then the value of x is 11

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3 years ago

If LR = 12 and PR = 4, find LP. Explain.

Softa [21]

<h2>Answer:</h2>

LP = 8 because LR + PR = LP according to the Segment Addition Postulate, and 8 + 4 = 12 using substitution

<h2>Step-by-step explanation:</h2>

From this problem, we know that:

LR = 12

PR = 4

So here we have a Line segment. Recall that a line segment has two endpoints, places where they end or stop and they are named after their endpoints, so the line segment here is LR whose measure is 12. Then, according to Segment Addition Postulate it is true that:

LP + PR = LR

By substituting LR = 12 and PR = 4, we have:

LP + 4 = 12

Subtracting 4 from both sides:

LP + 4 - 4 = 12 - 4

LP + 0 = 8

Finally:

LP = 8

7 0

3 years ago

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A carpenter is assigned the job of expanding a rectangular deck where the width is one-fourth the length. The length of the deck

leva [86]

Let the width be W, then the length is 4W (since the width is 1/4 the length)

The area of the original deck is $W*4W=4W^{2}$

The dimensions of the new deck are :

length = 4W+6
width=W+2

so the area of the new deck is :

$(4W+6)(W+2)= 4W^{2}+8W+6W+12= 4W^{2}+14W+12$

"<span>the area of the new rectangular deck is 68 ft2 larger than the area of the original deck</span>" means that we write the equation:

$4W^{2}+14W+12=68+4W^{2}$

$14W+12=68$

$14W=68-12=56$

$W= \frac{56}{14}= 4$

the length is $4W=4*4=16$ ft

Answer: width: 4, length: 16

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3 years ago

What additional information is needed to prove the triangles are congruent by the SAS Prostulate

VladimirAG [237]

It is that the angle has to be formed by two pairs of congruent/corresponding sides of the triangle

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3 years ago

What is the decimal at the bottom of an element on the periodic table?

attashe74 [19]

Answer:

The atomic mass

Step-by-step explanation:

The decimal at the bottom of an element represents how much one atom of that element weighs.

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3 years ago

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