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3 years ago

Factorise each of the following.

Mathematics

1 answer:

kupik [55]3 years ago

5 0

Step-by-step explanation:

a) 2(32-4j+8k-jk)

b)a(3a-ab+3c -bc)

c)m(2m - mn + 2n - n^2)

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Determine the unknown side lengths

Tems11 [23]

Answer:

Where is the shape?

Step-by-step explanation:

3 0

3 years ago

4/12×1/8 in simplest form

Sliva [168]

Answer:

$\frac{1}{24}$

Step-by-step explanation:

$\frac{4}{12} *\frac{1}{8} =\frac{1}{24}$

6 0

3 years ago

Which of the following statements is needed in order to prove these triangles are congruent by AAS?

creativ13 [48]

Answer:

$RQ\cong UT$

Step-by-step explanation:

Two triangles are congruent by AAS postulate if two adjacent corresponding angles are congruent and the next adjacent sides to any of the angles is are also congruent. The adjacent sides should not be in between the two congruent angles.

From the triangles RQS and UTV

$\angle R\cong \angle U\\\angle S\cong \angle V$

The adjacent side to $\angle R$ is RQ and for $\angle U$ is UT.

Similarly, the adjacent side to $\angle S$ is QS and for $\angle V$ is TV.

So, the possible sides that could be congruent by AAS postulate are:

$RQ\cong UT$ or $QS\cong TV$

So, the correct option is $RQ\cong UT$

5 0

3 years ago

Triangle A B C is reflected over side A C and then is dilated to form smaller triangle D E C. Angles B C A and D C E are right a

andreyandreev [35.5K]

Answer:

A. △ABC ~ △DEC

B. ∠B ≅ ∠E

D. 3DE = 2AB

Step-by-step explanation:

Transformation involves the reshaping or resizing of a given figure. The types are: reflection, dilation, rotation and translation.

In the given question, the two operations performed on triangle ABC are reflection and dilation to form triangle DEC. The length of each side of triangle DEC is two-third of that of ABC. Therefore, the correct statements about the two triangles are:

i. △ABC ~ △DEC

ii. ∠B ≅ ∠E

iii. 3DE = 2AB

4 0

3 years ago

the area of a square garden is 267 ft^2 what is the side length of each side? round your answer to the nearest hundredth place.

aksik [14]

Answer:

Side Length=16.34 ft
No

Step-by-step explanation:

The area of the square garden= $267$ ft^2$

Area of a Square of Side length s $=s^2$

Therefore:

$s^2=267$ ft^2\\$Take the square root of both sides\\s=\sqrt{267} \\$Side Lenght, s=16.34 ft (to the nearest hundredth place)$

<u>Perimeter</u>

Perimeter of a Square of Side length s=4s

Therefore, the perimeter of the garden =4*16.34=65.36 ft

Since 65 ft < 65.36 ft

Therefore, if you had 65 ft of fencing, it will not be enough to go around and cover the garden.

5 0

3 years ago