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Serhud [2]
3 years ago
8

Help me to factorise the following expressions1.tu+tv+su+sv2.mn+3m+kn+3k​

Mathematics
1 answer:
ioda3 years ago
4 0

Answer:

1. (t + s)(u + v).

2. (m + k)(n + 3).

Step-by-step explanation:

1.  tu+tv+su+sv

Note that t is common in the first 2 terms and s is common to the last 2.

= t(u + v) + s(u + v)

Now u + v is common so we have:

(t + s)(u + v).

2. mn+3m+kn+3k​

=  m(n + 3) + k(n + 3)

= (m + k)(n + 3).

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Complete the pairs of corresponding parts if △ABD ≅ △EFC.
vovangra [49]

Answer:

We conclude that:

∠A = ∠ FEC

Step-by-step explanation:

Given

△ABD ≅ △EFC

To determine:

∠A =

As

△ABD ≅ △EFC

So the triangles △ABD and △EFC are congruent to each other.

  • We know that congruent triangles have equal corresponding parts.

Please check the attached graph.

From the graph, it is clear that ∠A is correspondent to ∠E.

∠A = ∠E

From the attached figure, it is clear that:

∠F can also be denoted by ∠ FEC

as

∠A = ∠E

so

∠A = ∠ FEC

Therefore, we conclude that:

∠A = ∠ FEC

6 0
3 years ago
Given: △FKL, FK=a, m∠F=45°, m∠L=30° Find: FL
drek231 [11]

The best way to do this is to draw a picture of ΔFKL and include line segment KM that is perpendicular to FL.  This creates ΔFKM which is a 45°-45°-90° triangle and ΔLKM which is a 30°-60°-90° triangle.

Find the lengths of FM and ML.  Then, FM + ML = FL

<u>FM</u>

ΔFKM (45°-45°-90°): FK is the hypotenuse so FM = \frac{a}{\sqrt{2}} = \frac{a\sqrt{2} }{2}

<u>ML</u>

ΔLKM (30°-60°-90°): from ΔFKM, we know that KM = \frac{a\sqrt{2} }{2} , so KL = \frac{a}{\sqrt{6}} = \frac{a\sqrt{6} }{6}  

<u>FM + ML = FL</u>

(\frac{3}{3})\frac{a\sqrt{2}  }{2} + \frac{a\sqrt{6}  }{6}

= \frac{3a\sqrt{2} + a\sqrt{6} }{6}

8 0
3 years ago
Read 2 more answers
What is the value of b<br> 2b + 8 − 5b + 3 = −13 + 8b − 5
Yuri [45]

Answer:

See below.

Step-by-step explanation:

2b + 8 − 5b + 3 = −13 + 8b − 5

Reorder like terms.

2b-5b+8+3=8b-13-5

Combine those like terms. Then solve.

-3b+11=8b-18

      -11       -11

-3b=8b-29

-8b -8b

-11b=-29

/-11    /-11

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-hope it helps

3 0
3 years ago
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What is the slope intercept form when m = 1/2 &amp; b = 89 ?<br> Helppppppppp
Zina [86]

Answer:

y = \frac{1}{2}x + 89

Step-by-step explanation:

slope-intercept form: y  = mx + b

y = (x , y)

x = (x , y)

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b = y-intercept = 89

Plug in the corresponding numbers & variables to the corresponding variables:

y = (1/2)x + 89

y = \frac{1}{2}x + 89  is your answer.

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5 0
3 years ago
Read 2 more answers
Someone explain it please
Alina [70]

9514 1404 393

Answer:

  ∠A = 44°

Step-by-step explanation:

In order to find the measure of angle A, you need to know the value of the variable x. This means you need some relation that you can solve to find x.

Happily, that relation is "the sum of angles in a triangle is 180°." This means ...

  84° +(x +59)° +(x +51)° = 180°

  (2x + 194)° = 180° . . . collect terms

  2x = -14 . . . . . . . . . . divide by °, and subtract 194

  x = -7 . . . . . . . . . . . .divide by 2

Now, the measure of angle A is ...

  ∠A = (x +51)° = (-7 +51)°

  ∠A = 44°

4 0
3 years ago
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