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3 years ago

Which is the best estimate of 5 5/6 - (1 1/4 + 3 7/8)

Mathematics

1 answer:

pantera1 [17]3 years ago

3 0

Answer:

Step-by-step explanation:

"Best estimate' doesn't happen automaticallly, because you have to define "best" in this context. We could merely round all numbers and work with the results:

For example, starting with the work inside parentheses, we have:

5 5/6 - (1 + 4) = 5 5/6 - 5. We must round 5 5/6 up to 6. Then the "best estimate' is 6 - 5, or just 1.

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Select the correct answer.

Svetlanka [38]

Answer:

<h3> $\boxed{ \boxed{ \bold{ {x}^{2} + 4x - 21}}}$ </h3>

Step-by-step explanation:

$\sf{(x - 3)(x + 7)}$

Use the distributive property to multiply each term of the first binomial by each term of the second binomial.

⇒ $\sf{x(x + 7) - 3(x + 7)}$

⇒ $\sf{ {x}^{2} + 7x - 3x - 21}$

Collect like terms

⇒ $\sf{ {x}^{2} + 4x - 21}$

Hope I helped!

Best regards!!

3 0

4 years ago

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In the adjoining figure, XY = XZ . YQ and ZP are the bisectors of <img src="https://tex.z-dn.net/?f=%20%5Cangle" id="TexFormula1

svetlana [45]

Answer:

See Below.

Step-by-step explanation:

Statements: Reasons:

$1)\, XY=XZ$ Given

$2) \text{ $ m\angle Y= m\angle Z$}$ Isosceles Triangle Theorem

$\displaystyle 3) \text{ $m\angle Y=m\angle XYQ + \angle QYZ$}$ Angle Addition

$\displaystyle 4)\text{ $YQ$ bisects $\angle XYZ$}$ Given

$5) \text{ $m\angle XYQ=m\angle QYZ$}$ Definition of Bisector

$\displaystyle 6)\text{ $m\angle Y=2m\angle QYZ$}$ Substitution

$7)\text{ $m\angle Z=m\angle XZP+m\angle PZY$}$ Angle Addition

$8)\text{ $ZP$ bisects $\angle XZY$}$ Given

$\displaystyle 9) \text{ $m\angle XZP=m\angle PZY$ }$ Definition of Bisector

$\displaystyle 10) \text{ $ m\angle Z = 2m\angle PZY $}$ Substitution

$11)\text{ } 2m\angle QYZ=2m\angle PZY$ Substitution

$12)\text{ }m\angle QYZ=m\angle PZY$ Division Property of Equality

$13)\text{ } YZ=YZ$ Reflexive Property

$14)\text{ } \Delta YZP\cong\Delta ZYQ$ Angle-Side-Angle Congruence*

$15)\text{ } YQ=ZP$ CPCTC

*For clarification:

∠Y = ∠Z

YZ = YZ (or ZY)

∠PZY = ∠QYZ

So, Angle-Side-Angle Congruence:

ΔYZP is congruent to ΔZYQ

5 0

3 years ago

Read 2 more answers

A woman starts out walking due north for 2 miles, and then she turns due west and continues for another 2 miles. How far from he

Mrac [35]

For this case we can model the problem as a rectangle triangle.
We have:
Length of the sides of the triangle.
We want to find:
Length of the hypotenuse.
Using the Pythagorean theorem we have:
$d ^ 2 = 2 ^ 2 + 2 ^ 2
$
$d = \sqrt{2 ^ 2 + 2 ^ 2} 

d = \sqrt{4 + 4} 

d = \sqrt{8} 

d = 2\sqrt{2} 
$
Answer:
She is:
$d = 2\sqrt{2}$
miles far from her starting point

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3 years ago

What is 140% of 600? Round to the nearest hundredth (if necessary).

Bezzdna [24]

Answer:

840

Step-by-step explanation:

I think this is right hope it helps! :)

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3 years ago

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PLEASE HELP 30 POINTS!

tamaranim1 [39]

Answer:

The pentagon.

Step-by-step explanation:

Mark me Brainliest.

8 0

2 years ago

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Which is the best estimate of 5 5/6 - (1 1/4 + 3 7/8)​

Which is the best estimate of 5 5/6 - (1 1/4 + 3 7/8)