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son4ous [18]
2 years ago
10

Choose the postulate or theorem when combined with the AAA Postulate for triangle similarity can be used to establish the AA Pos

tulate for triangle similarity?
A) SAS Postulate
B) ASA Postulate
C) Angle Sum Theorem
D) Angle Bisector Theorem
Mathematics
2 answers:
Ket [755]2 years ago
7 0
This is the concept of geometry, for us to prove the similarity of angles we can use the following postulates:
SAS (side-angle-side)
ASA (Angle side Angle)
SSS (side side side)
AAS (Angle Angle side)
therefore, given that AAA is used to prove similarity, another postulate that can be used to strengthen the postulate is SAS, because we already have the angle sizes, adding more sides will make the prove even stronger since we shall have three corresponding angles plus wo corresponding sides.

Yuliya22 [10]2 years ago
4 0

The correct answer to this question is C

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Sean's house is currently worth $188,900. According to a realtor, house prices in Sean's neighborhood will increase by 4.8% ever
mrs_skeptik [129]

Answer  

Given

Sean's house is currently worth $188,900.

According to a realtor, house prices in Sean's neighborhood will increase by 4.8% every year.

To prove

Formula

Compound\quaterly\ interest = Principle (1 + \frac{r}{4})^{4t}

Where r is the rate in the decimal form.

As given

Take\ Principle\ = P_{0}

Rate = \frac{4.8}{100}

              = 0.048

Put in the formula

Compound\quaterly\ interest = P_{0}(1 + \frac{0.048}{4})^{4t}

Compound\quaterly\ interest = P_{0} (1 + \frac{0.048}{4})^{4t}

Compound\quaterly\ interest = P_{0} (1 + 0.012)^{4t}       Compound\quaterly\ interest = P_{0} (1.012)^{4t}  

Now also calculated monthly.

Formula

Compound\ monthly = Principle (1 + \frac{r}{12})^{12t}

As given

Take\ Principle\ = P_{0}

Rate = \frac{4.8}{100}

              = 0.048

Put in the formula

Compound\ monthly = P_{0} (1 + \frac{0.048}{12})^{12t}

Compound\ monthly = P_{0} (1 + 0.004)^{12t}

Compound\ monthly = P_{0} (1.004)^{12t}

As the approximation quarterly growth rate of the value of sean's house is near the Compounded quarterly interest .

Thus Option (A) is correct.

i.e

The expression (1.0118)^{4t} reveals the approximate quarterly growth rate of the value of Sean's house.




                                               

                                                       




6 0
3 years ago
Read 2 more answers
Solve for x.<br> <br> 13x + 7 = 5x - 20
myrzilka [38]
The answer is -27/8= -3.375
7 0
3 years ago
Read 2 more answers
A rectangle has a perimeter of 58 inches. The length is five more than twice the width. Write and solve an equation to determine
Ymorist [56]

Answer:

The width is 8 inches.

Step-by-step explanation:

Let the width be x. Per the question, the length should be 2x + 5. Set up a perimeter equation and solve for x.

I have attached the work to your problem.

Please see the attachment below.

I hope this helps!

8 0
3 years ago
Which expression will determine the perimeter, in inches, of the rectangle? O 10 x 7 10 + 7 O (2 x 7) + (2 x 10) O 10 x 7 x 7 x
fredd [130]

Answer:

(2 * 7) + (2 * 10)

Step-by-step explanation:

The missing details in the question are:

Length = 10

Width = 7

Required

The perimeter

This is calculated as:

Perimeter = 2 * (Length + Width)

So, we have:

Perimeter = 2 * (10 + 7)

Open bracket

Perimeter = 2 * 10 + 2 * 7

Rewrite as:

Perimeter = (2 * 7) + (2 * 10)

3 0
2 years ago
Read 2 more answers
@mehek14
gayaneshka [121]
X=cost per hamburgurs
y=cost per hot dog

200x+150y=1450
200x+250y=1750

we can multiply first equation by -1 and add to 2nd

-200x-150y=-1450
<u>200x+250y=1750 +</u>
0x+100y=300

100y=300
divide both sides by 100
y=3

sub back

200x+150y=1450
200x+150(3)=1450
200x+450=1450
minus 450 both sides
200x=1000
divide both sides by 200
x=5


the cost of a hamburgur is $5
the cost of a hot dog is $3
8 0
2 years ago
Read 2 more answers
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