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1 year ago

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20. When you divide a decimal by a number greater than 1, how does the quotient compare with the dividend? When you divide a dec

imal by a number less than 1, how does the quotient compare with the dividend? Give examples to support your answer. 1. Ja. Than salue

1 answer:

BartSMP [9]1 year ago

4 0

B is the correct answer bc I know

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Someone help me solve 10-16 please thank you!

SVEN [57.7K]

Answer:

Part 10)

a) $OM=46\ units$

b) $PN=23\ units$

c) $ON=23\sqrt{2}\ units$

d) $MN=23\sqrt{2}\ units$

Part 12) x=11

Part 14) see the explanation

Step-by-step explanation:

Part 10) we know that

In a square all four sides are congruent

The diagonals of a square are congruent and bisect each other at right angles

Part a)

Find the length of diagonal OM

we know that

$OM=LN$ ---> the diagonals are congruent

we have

$LN=46\ units$

therefore

$OM=46\ units$

Part b)

Find the length of PN

we know that

$PN=PL$ ---> remember that the diagonals bisect each other

$PN=\frac{LN}{2}$

we have

$LN=46\ units$

substitute

$PN=\frac{46}{2}=23\ units$

Part c)

Find the length of ON

Applying the Pythagorean Theorem

$OM^2=ON^2+MN^2$

we know that

$ON=MN$ ----> remember that all four sides are congruent

so

$OM^2=2ON^2$

$OM=46\ units$

substitute

$46^2=2ON^2$

$2,116=2ON^2$

$1,058=ON^2$

$ON=\sqrt{1,058}\ units$

simplify

$ON=23\sqrt{2}\ units$

Part d)

Find the length of MN

we know that

$MN=ON$ ----> remember that all four sides are congruent

we have

$ON=23\sqrt{2}\ units$

therefore

$MN=23\sqrt{2}\ units$

Part 12) we know that

The diagonals of a square bisect its angles

Remember that the interior angles of a square is 90 degrees

so

$(6x-21)\°=45\°$

solve for x

$6x=45+21\\6x=66\\x=11$

Part 14) we know that

A parallelogram has opposite parallel sides, so a parallelogram will always have consecutive supplementary angles.

The rectangle, rhombus and a square are all parallelograms

therefore

parallelograms, rectangles,rhombi and squares will always have consecutive supplementary angles.

7 0

4 years ago

(9 times 10 to the third power) (7 times 10 to the -1 power)

Mnenie [13.5K]

Scientific Notation: 6.3 x 10^3

Expanded Form: 6300

7 0

3 years ago

There are 12 red and blue pencils on a desk.There are twice as many red pencils as blue pencils.How many read pencils are there

Mrac [35]

r+b =12

r =2b (twice as many red as blue)

substitute r = 2b into r+b=12

2b + b = 12

3b =12

divide by 3

b=4

r = 2b

r=2(4)

r=8

There are 4 blue pencils and 8 red pencils

3 0

3 years ago

Read 2 more answers

If joe can paint a house in 3hr, and Sam can paint the same house in 5hr, how long does it take them to do it together?

aleksandrvk [35]

It will take them 4 hours together.

6 0

4 years ago

Solve for x: -5 < 8x + 11 < 19

vladimir1956 [14]

Answer:

-2<x<1

Step-by-step explanation:

-5 < 8x + 11 < 19

Subtract 11 from all sides

-5-11 < 8x + 11-11 < 19-11

-16 < 8x<8

Divide by 8

-16/8 < 8x/8 <8/8

-2<x<1

6 0

3 years ago