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pickupchik [31]
3 years ago
5

Find all real numbers x such that 3x - 4 < 5 and -8x - 19 < 21

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
6 0

Answer:

3x<5+4

=3x<9

=x<<u>9</u>

<u> </u><u> </u><u> </u><u> </u><u> </u><u> </u>3

x<3

-8x-19<21

-8x<21+19

-8x<40

x<<u>4</u><u>0</u>

<u> </u><u> </u><u> </u><u> </u><u>-</u><u>8</u>

x<-5

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BC and DF are parallel lines. B is a point on AD and E is a point of DF. BD=BE. work out angle DBE give a reason. ITS ON MATHSWA
zloy xaker [14]

Answer:

(Angle DBE) ∠DBE = 50°

Step-by-step explanation:

It is crucial for us to be able to interpret plane geometry related question in order to solve them efficiently.

From the question given; we have analysed and come up with a diagrammatic expression and mathematical solution that clearly explains the question .

Given that

BC and DF are parallel lines.

B is a point on AD  

B is a point on AD

BD=BE

work out angle DBE and give a reason.

The diagram can be seen in the attached image below.

SInce ∠BD = ∠DE

Then triangle BDE is an isosceles triangle. In an isosceles triangle ; two sides are equal in length.

The sum of angles in an isosceles triangle = 180° (sum of angles in a triangle)

So;

∠BDE + ∠BED + ∠DBE = 180° (sum of angles in a triangle)

From the diagram; we will see that ∠ABC = ∠BDE  (corresponding angle)

Since ; ∠ABC is not given and which is needed to solve this question.

Let's just assume that ∠ABC is 65° , the main thing is to be able to interpret and understand the concept of the question.

Now;

Since

∠ABC = ∠BDE  

∠ABC  = 65°

∠BDE  = 65°

Again;

∠BDE + ∠BED + ∠DBE = 180° (sum of angles in a triangle)

∠BDE will be aso equal to  ∠BED ; this is because since the length of the opposite sides of the isosceles triangle are equal, their angles will also be equal.

Therefore;

65° + 65° + ∠DBE = 180° (sum of angles in a triangle)

130 ° + ∠DBE = 180° (sum of angles in a triangle)

∠DBE = 180° - 130°

∠DBE = 50°

3 0
3 years ago
When the amount paid for land is 36,000 and the amount for expenses is 10,000 what is the balance in total transactions
I am Lyosha [343]
46,000 is the total transactions.
5 0
3 years ago
As an estimation we are told £3 is €4.<br> Convert €52 to pounds.
kati45 [8]

Answer:

£69.33

Step-by-step explanation:

4/3=1.33333333333 so that 52*1.33333333333 would convert  52 euros into 52 pounds

7 0
3 years ago
over 5 days 8,208 people visited the amusement park about how people visited the park per day using rates
Nadusha1986 [10]
Number of people visited per day =  Number of People visited / Number of days

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a coin weighs 3/4, debra picked up 6 of these coins, what is the total weight of coins she picked up?
Keith_Richards [23]

Answer:

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Hope this helps

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