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2 years ago

Factorise the following expressions. a) 6x + 5x + 1 b) 6x2 13x + 6

Mathematics

2 answers:

fredd [130]2 years ago

7 0

Answer:

a) 1 1 + 1

b)1 3 + 1 8

Step-by-step explanation:

Soloha48 [4]2 years ago

4 0

Answer
a) 11+1
b)13+18
hope this helps can make me brainlist if u want

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12. In the given figure, RS is parallel to PQ, If RS = 3 cm, PQ = 6 cm and ar(∆TRS) = 15cm³, then ar (∆TPQ) = ? (a) 70 cm² (b) 5

Gnesinka [82]

$\large\underline{\sf{Solution-}}$

Given that,

In triangle TPQ, 

RS || PQ,

RS = 3 cm,

PQ = 6 cm,

ar(∆ TRS) = 15 sq. cm

As it is given that, RS || PQ

So, it means

⇛∠TRS = ∠TPQ [ Corresponding angles ]

⇛ ∠TSR = ∠TPQ [ Corresponding angles ]

$\rm\implies \: \triangle TPQ \: \sim \: \triangle TRS \: \: \: \: \: \: \{AA \}$

Now, We know 

Area Ratio Theorem,

This theorem states that :- The ratio of the area of two similar triangles is equal to the ratio of the squares of corresponding sides.

$\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{ar( \triangle \: TRS)} = \dfrac{ {PQ}^{2} }{ {RS}^{2} }$

$\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = \dfrac{ {6}^{2} }{ {3}^{2} }$

$\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = \dfrac{36 }{9}$

$\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = 4$

$\rm\implies \:ar( \triangle \: TPQ) = 60 \: {cm}^{2}$

3 0

1 year ago

When Angela calculated her net worth; she got this: Net Worth = $435 - $560 = - $125. What does her negative net worth mean?

Tcecarenko [31]

Answer:

The negative net worth mean her liabilities are larger than her assets.

Step-by-step explanation:

Angela's calculation of net worth:

Net Worth = $435 - $560 = - $125

Net worth is the difference in assets and debt. If the net worth is negative it means that debt is greater than assets.
The same thing is in Angela's case. Her debt or liability is greater than total assets hence making her net worth negative.
Her liability is still $125 greater than all of her assets added upon.

6 0

2 years ago

A caterer prepared a turkey that weighed 22 1/2 pounds.Each serving of the turkey will be 1/3 pound.How many whole servings will

AlladinOne [14]