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r-ruslan [8.4K]
3 years ago
7

You and your friend are shopping for painting supplies. Your friend wants five bottles of paint and one set of paint brushes. Yo

u want seven bottles of paint and two sets of paint brushes. Each bottle of paint costs $3.69. If you and your friend’s total cost is $51.69, what is the cost of one set of paint brushes?
Mathematics
1 answer:
ANTONII [103]3 years ago
7 0
So your friend bought 1 set of brush and 5 bottles of paint
you bought 2 brushes and 7 bottles of paint
1 bottle=3.69
friends cost+your cost=51.69
total you bought 3 brushes and 12 bottles

each bottle is 3.69
12*3.69=44.28
totalcost=51.69=3brushes+12bottles

51.69=3brushes+44.28
minus 44.28 from both sides
7.41=3brushes
divide both sides by 3
2.47=1brush



1 set of paint brushes=$2.47
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mafiozo [28]

Answer: The option is D.

Step-by-step explanation:

A line that intersects another line segment and separates it into two equal parts is called a bisector.

In a quadrangle, the line connecting two opposite corners is called a diagonal. We will show that in a parallelogram, each diagonal bisects the other diagonal.

Problem

ABCD is a parallelogram, and AC and BD are its two diagonals.  Show that AO = OC and that BO = OD

Strategy

Once again, since we are trying to show line segments are equal, we will use congruent triangles. And here, the triangles practically present themselves. Let’s start with showing that AO is equal in length to OC, by using the two triangles in which AO and OC are sides: ΔAOD and  ΔCOB.

There are all sorts of equal angles here that we can use. Several pairs of (equal) vertical angles, and several pairs of alternating angles created by a transversal line intersecting two parallel lines. So finding equal angles is not a problem. But we need at least one side, in addition to the angles, to show congruency.

As we have already proven, the opposite sides of a parallelogram are equal in size, giving us our needed side.

Once we show that ΔAOD and  ΔCOB are congruent, we will have the proof needed, not just for AO=OC, but for both diagonals, since BO and OD are alsocorresponding sides of these same congruent triangles.

ABCD is a parallelogram    

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AD || BC                                

From the definition of a parallelogram

AD = BC                                 Opposite sides of a parallelogram are equal in size

∠OBC ≅ ∠ODA                      Alternate Interior Angles Theorem, ∠OCB ≅ ∠OAD                      Alternate Interior Angles Theorem,

ΔOBC ≅ ΔODA                     

Angle-Side-Angle

BO=OD                                Corresponding sides in congruent triangles AO=OC                             Corresponding sides in congruent triangles.

5 0
3 years ago
A production manager at a wall clock company wants to test their new wall clocks. The designer claims they have a mean life of 1
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Hence the probability that the mean clock life would differ from the population mean by greater than 1.5 years is 98.30%.

Learn more about probability at brainly.com/question/24756209

#SPJ4

There is a mistake in question and correct question is as under:

What is the probability that the mean clock life would differ from the population mean by greater than 12.5 years?

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Answer:

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Step-by-step explanation:

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