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Nadusha1986 [10]
4 years ago
13

At the electronics store, Martin earns a 4.5% commission on his monthly sales.If his sales for January were $1,350, how much of

a commission did he earn?
Mathematics
1 answer:
Crank4 years ago
8 0

Answer:

60.75

Step-by-step explanation:

Since he earns a <em>4.5% commission</em>

you need to find 4.5% of $1,350

<em />

1350 x 0.045 = 60.75

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Jamie needs to determine the distance across a river. She selects a rock, R, on the opposite river bank. She finds a tree, T, on
Setler [38]

Since RT is perpendicular to the river, you have that segment CT is perpendicular to RT and, thus, CT⊥RB, because point B lies in a straight line with points R and B. Angles TCR and TCB are congruent (she walks from C in a direction that makes the same angle as TCR with the river bank on her side of the river).

This means that triangle CRB is isosceles triangle with base BR and height CT, because height CT is also a bisector of angle BCR.

The height CT divides triangle BCR into two right triangles BCT and RCT, where:

  • CT is common leg;
  • ∠TCR≅∠TCB,

then by LA Theorem these two triangles are congruent (ΔBCT≅ΔRCT).

Congruent triangles have congruent corresponding sides:

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  • CT≅CT;
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If BT turns out to be 75 yards, then TR=75 yards.

By the Pythagorean theorem,

BC^2=CT^2+BT^2,\\ \\BC^2=50^2+75^2=2500+5625=8125,\\ \\BC=\sqrt{8125}=25\sqrt{13}.

If BC=25\sqrt{13}, then distance from the spot to the rock is  CR=25\sqrt{13}.

Answer: RT=75 yards, CR=25\sqrt{13} yards.

4 0
3 years ago
Read 2 more answers
You buy 4 breakfast sandwiches at $2.59 each, 4
Paha777 [63]

Answer:

all 4 meals equal $20.95

Step-by-step explanation:

4 sandwiches = $2.59 each

4 hashbrowns = $1.10 each

4 orange juice = $1.25 each

sales tax = 6%

now you have two options you could either add all of the one meal prices together or you could do how much it would cost for the each individually

adding one meal

2.59 + 1.10 + 1.25 = 4.94

4.94 x 4 = 19.76

adding all the items individually

2.59 x 4 = 10.36

1.10 x 4 = 4.40

1.25 x 4 = 5.00

10.36 + 4.40 + 5.00 = 19.76

now if the sales taxes

19.76 x 0.06 = 1.19

now sales taxes plus all the items

19.76 + 1.19 = 20.95

3 0
3 years ago
Look at the figure. How can you prove the triangles are congruent?
lisabon 2012 [21]
<h3>Answer: SSS Postulate</h3>

The tickmarks tell us which pairs of sides are the same length.

  • AB = BC due to the single tickmarks
  • AD = CD due to the double tickmarks

So far we have two pairs of congruent sides.

The third pair of congruent sides are the overlapping or shared sides BD = BD which is true by the reflexive property (anything is congruent to itself).

Overall we have three pairs of congruent sides allowing us to use SSS. Each "S" stands for "Side".

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On Monday,a driver purchased 18 gallons of gas for $61.38.What was the price of gas per gallon that day?
maw [93]

Answer:

$3.41

Step-by-step explanation:

Divide 61.38 by 18 to get the price for one gallon of gas

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Help find slope, y intercept, rise/run, and function
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Answer:

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