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3 years ago

What can you conclude and reason

Mathematics

1 answer:

SSSSS [86.1K]3 years ago

6 0

Answer:

ABC is an isosceles triangle.

Because it consists of two congruent triangles created by CD, side AC = CB, making it an isosceles triangle.

Step-by-step explanation:

I can conclude that triangle ABC is an isosceles triangle.

Perpendicular means intersecting at 90°. Bisector means intersecting at the midpoint, halfway between the two ends.

Since CD is dropped from vertex C and is a perpendicular bisector of AB, angle C is also bisected.

Therefore angle C for both triangles CDA and CDB is of equal measure.

We know angle D for both triangle CDA and CDB is of equal measure, 90°, because CD is a <em>perpendicular </em>bisector of AB.

The two triangles also share the same side CD.

Triangles CDA and CDB are congruent for having 2 equal angles and 1 equal side (ASA property).

Since they are congruent, AD = AB and AC = CB. Therefore triangle ABC is an isosceles triangle.

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Rhianna is buying a car for $14,390. She has a $1000 trade-in allowance and will make a $1500 down payment. She will finance the

antoniya [11.8K]

Answer:

(a)

Original price for the Car Rhianna buy = $14,390.

Trade in allowance she has =$1000

So, the reduced price= $14,390-$1,000=$13,390.

Now, she make a $1500 down payment initially, so the remaining amount she pay using Auto-Loan is, $13,390-$1500=$11,890

Therefore, $11,890 money will she borrow in an auto loan.

(b)

To find the monthly(M) auto payment be:

Since the monthly auto payment in 4 year with 2.6% APR(Annual percentage rate)

Now, Monthly Auto payment(M) be :

P=$11,890, Monthly Car payment per $1000 borrowed at 2.6% for 48 months = $21.958

∴ $M=$11,890\cdot \frac{21.958}{1000}$

On solving we get, M=$261.082

Therefore, $261.082 will be her monthly auto payment.

(c)

Total amount of interest(A) she will pay ,

A=total payment in 4 years-total loan amount= $(\$261.082\cdot 48)-11,890$

=$12,531.936-$11,890=$641.936

So, the total amount of interest she will pay is, $641.936

(d)

Rhianna total payment for the car = total payment in 4 years+Down payment= $(261.082\cdot 48)+$1500$ =$12531.936+$1500=$14,031.936

(e)

∵ Rhianna is 22 years female :

From the given Data in the picture:

Rating factor= 1.2

Liability insurance 50/100/25 , Bodily injury 50/100

Premium= $310 and Property damage 25 : Premium $175

Collision insurance=$500 deductible: Premium $148

Comprehensive insurance= $500 deductible : Premium $85

Her total annual premium $= 1.2\cdot (\$310+\$175+\$148+\$85) = \$861.60$

8 0

3 years ago

The law of cosines reduces to the Pythagorean theorem whenever the triangle is acute. true or false

inysia [295]

False- the included angle must be a right angle for cos C to be 0 & two other points are normally used

6 0

3 years ago

Read 2 more answers

If you flip a coin 90 times, how many times would you expect to land on tails?

GarryVolchara [31]

Answer:

It would be expected to land on tails 45 times.

Step-by-step explanation:

If there is a 50% chance to land on tails, about half of the time it would land on heads.

5 0

3 years ago

The sum of two numbers is odd. Can the quotient of the two numbers be an odd number?

Natalka [10]

Answer: No.

Step-by-step explanation:

I guess that here we have the statement:

If the sum of two numbers is odd----> can their quotient be an odd number?

first, for n an integer number, we have that:

an odd number can be written as 2n + 1

an even number can be written as 2n.

The sum of two numbers is only odd if one of them is odd and the other even.

Then we have a number that is 2n and other that is 2k + 1, for n and k integer numbers.

Now, let's see if the quotient can also be an odd number.

One way to think this is:

There is an odd number such that when we multiply it by another odd number, the result is an even number?

no, and i can prove it as:

let 2k + 1 be an odd number, and 2j + 1 other.

the product is:

(2k + 1)*(2j + 1) = 2*(2*k*j + k + j) + 1

and as k and j are integers, also does 2*k*j + k + j, so:

2*(2*k*j + k + j) + 1 is an odd number.

This says that the product of two odd numbers is always odd, then we never can have that the quotient between an even number and an odd number is odd.

4 0

3 years ago

HELP I HAVE TEN MINUTES!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Flura [38]

No

Explanation

Do it on your own

8 0

3 years ago