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3 years ago

Rebecca is given two triangles, AABC and A DEF. At first glance, she thinks

Mathematics

1 answer:

vitfil [10]3 years ago

5 0

Answer:

A. She can rotate AABC 90° and then compare the angles and sides.

She will see that the triangles are congruent by the Angle Side Angle theorem.

Step-by-step explanation:

Congruent is a term that implies that a thing is identical to another (having the same shape and size). For congruent triangles, they have the same shape and size; they can be tilted or rotated to be at different angles but they have the same shape and size irrespective.

The following information were given:

D - 30°, 3 cm, 65°

B - 30°, 3 cm, 65°

From this information, we can conclude that the triangles are congruent based on the Angle Side Angle theorem. However, because the diagram was not included, we cannot conclusively say which is the more accurate answer between Options A & B.

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Amazing number of 1 to 32 sum of two adjacent number of this cricle isaperfect square.......va

wlad13 [49]

Answer:

binj no i8huhh I'll go Jan has

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3 years ago

Find m∠PQR. A. 81 B. 90 C. 77 D. 72

AnnZ [28]

<h3>Answer: D. 72</h3>

Work Shown:

Angle PQR = (far arc - near arc)/2

Angle PQR = ( (major arc PR) - (minor arc PR) )/2

Angle PQR = ( (2x+252) - (2x+108) )/2

Angle PQR = 144/2

Angle PQR = 72

Notice how we didn't need to find the value of x at all.

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3 years ago

1. A woman deposits $10000 in a bank. The interest rate per annum is 8% How much will she have in the account in 15 years to the

jeka57 [31]

Answer:

The answer is $31,722.

Step-by-step explanation:

10,000 x 1.08 = 10,800

Do this 14 more times, your answer times 1.08.

You end up with 31,721.6911418.

Rounded to the nearest dollar, that would be $31,722.

4 0

2 years ago

Write a quadratic equation that can be solved by factoring. Solve your equation and show and explain all your work.

miv72 [106K]

Answer:

An example of a quadratic equation is:

${x}^{2} + 5x + 6 = 0$

Step-by-step explanation:

This answer follows the standard form for a quadratic equation:

$a {x}^{2} + bx + c = 0$

To solve this equation you do the following:

x^2 + 5x + 6 =0

The factors that can be added to get *5* and multiplied to get *6* are 3 & 2.

Therefore the new equation would be:

x^2 +3x + 2x + 6 = 0

group the terms: (x^2 +3x) (+2x + 6) = 0

factorize: x (x + 3) 2 (x + 3) = 0

therefore: (x + 2) (x + 3) =0

x = -1 x =-3

4 0

2 years ago

Read 2 more answers

Jack Steele needs $14,500 to computerize his inventory.

Alenkasestr [34]

Given:
Proceeds = $14,500
discount rate = 11%
term = 150 days

Simple discount note:
Discount = Maturity Value * discount rate * term

Proceeds from simple discount note:
proceeds = Maturity Value - discount

We will have to work back:

Discount = Maturity Value * 0.11 * 150/360
Discount = Maturity Value * 0.045833

Discount is 0.045833 of the Maturity Value. The proceeds is net of the Discount so we simple deduct 0.045833 from 1 to get the portion of the proceeds as compared to the Maturity Value.

14,500 / (1-0.045833) = 14,500 / 0.95416 = 15,196.61

My figure is nearest to choice A. $15,196.51

3 0

3 years ago