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Alex Ar [27]
3 years ago
5

A given line has a slope of - ⅚.  (ie, m = -⅚)

Mathematics
1 answer:
Nastasia [14]3 years ago
8 0

Answer:

Step-by-step explanation:

The slope of the line parallel to that line is -5/6 because parallel lines have the same slope.

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A rectangle or piece of paper has a width is 3 inches less than its link it is cut in half along a diagonal to create two congru
kolezko [41]

The length and width of the rectangle is 11 in and 8 in respectively.

Step-by-step explanation:

Given,

The width of a rectangle is 3 in less than the length.

The area of each congruent right angle triangle = 44 in²

To find the length and width of the rectangle.

Formula

The area of a triangle with b base and h as height = \frac{1}{2}bh

Now,

Let, the width = x and the length = x+3.

Here, for the triangle, width will be its base and length will be its height.

According to the problem,

\frac{1}{2}×(x+3)×x = 44

or, x^{2} +3x = 88

or,x^{2} +3x-88 = 0

or, x^{2}+(11-8)x-88 = 0

or, x^{2}+11x-8x-88 =0

or, x(x+11)-8(x+11) = 0

or, (x+11)(x-8) = 0

So, x = 8 ( x≠-11, the length or width could no be negative)

Hence,

Width = 8 in and length = 8+3 = 11 in

3 0
3 years ago
16 cm<br> 20 cm<br> 15 cm<br> 20 cm<br> find the volume of the prism
vichka [17]

Answer:

267.

Step-by-step explanation:

8 0
2 years ago
What is 0.472 rounded to the nearest tenth? (2 points)<br><br>​
MA_775_DIABLO [31]

To round 0.472 to the nearest tenth consider the hundredths' value of 0.472, which is 7 and equal or more than 5. Therefore, the tenths value of 0.472 increases by 1 to 5.

So, the answer would be 0.5.

<u>I hope this helped!</u>

7 0
3 years ago
Read 2 more answers
Answer with explanation please!
VLD [36.1K]

Answer:

E

Step-by-step explanation:

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

8x + 15 is an external angle of the triangle, thus

8x + 15 = 3x + 20 + 4x + 5, that is

8x + 15 = 7x + 25 ( subtract 7x from both sides )

x + 15 = 25 ( subtract 15 from both sides )

x = 10

Thus none of them on the list → E

3 0
3 years ago
Nacy walked 50 minutes each day for 4 days last week . gillian walked 35 minutes each day for 6 days last week.how does the tota
frez [133]
G > n. gill walked more than nancy

3 0
3 years ago
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