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Scorpion4ik [409]
3 years ago
13

Select the correct answer from each drop-down menu.

Mathematics
1 answer:
zepelin [54]3 years ago
3 0
<h3>Answer:</h3>

y = 0.1x +1500

<h3>Explanation:</h3>

You need an equation that will give Gary a salary of $1500 even if he makes no sales (x=0). The only possible choice for the second item is then ...

... +1500

You are expected to know that Gary's commission of 10% of sales is computed by multiplying sales (x) by 10%. That is, if Gary sells $100 worth of items, his commission is ...

... 10% × $100 = $10

That is, the multiplier is 0.1.

Gary's salary (y) is then computed as

... y = 0.1x +1500

_____

<em>Comment on percentages</em>

The % symbol is a shorthand way to write /100. That is, 10% = 10/100, ten hundredths, or 0.10. (You might notice here that "percent" and "hundredths" can be used interchangeably.)

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Two isosceles triangles share the same base. Prove that the medians to this base are collinear. (There are two cases in this pro
Anna71 [15]

Answer:

Given: Two Isosceles triangle ABC and Δ PBC having same base BC. AD is the median of Δ ABC and PD is the median of Δ PBC.

To prove: Point A,D,P are collinear.

Proof:

→Case 1.  When vertices A and P are opposite side of Base BC.

In Δ ABD and Δ ACD

AB= AC   [Given]

AD is common.

BD=DC  [median of a triangle divides the side in two equal parts]

Δ ABD ≅Δ ACD [SSS]

∠1=∠2 [CPCT].........................(1)

Similarly, Δ PBD ≅ Δ PCD [By SSS]

 ∠ 3 = ∠4 [CPCT].................(2)

But,  ∠1+∠2+ ∠ 3 + ∠4 =360° [At a point angle formed is 360°]

2 ∠2 + 2∠ 4=360° [using (1) and (2)]

∠2 + ∠ 4=180°

But ,∠2 and ∠ 4 forms a linear pair i.e Point D is common point of intersection of median AD and PD of ΔABC and ΔPBC respectively.

So, point A, D, P lies on a line.

CASE 2.

When ΔABC and ΔPBC lie on same side of Base BC.

In ΔPBD and ΔPCD

PB=PC[given]

PD is common.

BD =DC [Median of a triangle divides the side in two equal parts]

ΔPBD ≅ ΔPCD  [SSS]

∠PDB=∠PDC [CPCT]

Similarly, By proving ΔADB≅ΔADC we will get,  ∠ADB=∠ADC[CPCT]

As PD and AD are medians to same base BC of ΔPBC and ΔABC.

∴ P,A,D lie on a line i.e they are collinear.




3 0
3 years ago
Can someone help me please
Dafna1 [17]

Answer:

B) -4, - 1, 2, 5, 8

Step-by-step explanation:

Hope it helps you in your learning process

8 0
1 year ago
Find f(x)=x^2-x^3,find f(-10)
sergij07 [2.7K]

Answer:

f(-10) = 1,100

Step-by-step explanation:

f(-10) = (-10)^2 - (-10)^3

= 100 - (-1000)

= 1,100

3 0
3 years ago
Factorize py+ pz + y² + yz​
Troyanec [42]

Answer:

you could either say p(y+z)+y(y+z)or y(p+y)+ z(p+y)

Step-by-step explanation:

I cant really explain it but I hope this helps

6 0
2 years ago
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Tammy is playing a game where she is trying to roll a three with a standard
patriot [66]

Answer:

3/4 is the probablity

Step-by-step explanation:

7 0
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