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taurus [48]
3 years ago
7

The total weight of a box cannot exceed 17 pounds so far she has packed 3 1/4 pictures two books weighing 1 3/4 pounds and a jac

ket weighing 1 1/2 how much more can be packed without going over
Mathematics
1 answer:
tatuchka [14]3 years ago
8 0
You can pack up to 10 1/5 pounds more stuff without going over
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-3x^2 plus 24x = 27 <br> complete the square
Rudik [331]

You can divide the whole expression by -3:

-3x^2+24x=27 \iff x^2-8x = -9

Recalling that

(x-a)^2=x^2-2ax+a^2

Let's compare the middle term:

-8x = -2ax \iff a=4

So, we want to complete

(x-4)^2 = x^2-8x+16

Which differs from x^2-8x by 16. So, if we add 16 to both sides, we have

x^2-8x=-9 \iff x^2-8x+16=7 \iff (x-4)^2=7

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3 years ago
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Factor completely: 9p^2 - 9
Ratling [72]

Answer:

9p^2 - 9

9(p²-1²)

9(p+1)(p-1)

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3 years ago
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What two numbers make on thousand
Igoryamba

Answer:

500 and 500

Step-by-step explanation:

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3 years ago
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Based only on the information given in the diagram, which congruence theorems or postulates could be given as reasons why DEF=JK
NISA [10]

Answer:

A) AAS; B) LA; C) ASA

Step-by-step explanation:

AAS is the Angle-Angle-Side congruence statement.  It says that if two angles and a non-included side of one triangle are congruent to the corresponding two angles and non-included side of a second triangle, then the triangles are congruent.  In these triangles, ∠E≅∠K, ∠F≅∠L, and DE≅JK.  These are two angles and a non-included side; this is AAS.

LA is the leg-acute theorem.  It states that if a leg and acute angle of one triangle is congruent to the corresponding leg and acute angle of another triangle, then the triangles are congruent.

The leg we have congruent from each triangle is DE and JK.  We also have ∠E≅∠K and ∠F≅∠L, both pairs of which are acute.  This is the LA theorem.

ASA is the Angle-Side-Angle congruence statement.  It says that if two angles and an included side of one triangle are congruent to the corresponding two angles and included side of another triangle, then the triangles are congruent.  

We have that ∠D≅∠J, DE≅JK and ∠E≅∠K.  This gives us two angles and an included side, or ASA.

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3 years ago
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Whats the sum and difference of 13-(-17)
ser-zykov [4K]
Sum= positive 30 because you add the opposite
The difference between the numbers is also 30
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