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anastassius [24]
1 year ago
14

Using the imagine below, find the measure of angle y.

Mathematics
1 answer:
koban [17]1 year ago
7 0

y+ (5x-10)= 180 º

Due to the lines are parallels

\alpha=\beta

So then

(5x-10)= (x+86)

5x - x = 86 + 10

4x = 96

x = 24

__________________

Checking

(5x-10= 5*24-10= 110º

(x+86) = 24+ 86= 110º

__________________________

y+ (5x-10)= 180 º

y+ 110º = 180 º

y= 180-110º

y= 70º

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Answer:

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\fbox {Roots : x = 1, x = -3}

Step-by-step explanation:

<u>Given</u> :

  • y = 4x² + 8x - 12

4 cancels throughout.

  • <u>y = x² + 2x - 4</u>

<u>Solving by quadratic formula</u> :

  • x =  -8 ± √(8)² - 4(4)(-12) / 8
  • x = -8 ± √64 + 192 / 8
  • x = -8 ± √256 / 8
  • x = -8 ± 16 / 8
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∴ Hence, the x-intercepts are (1, 0) and (-3, 0). The roots of the equation are 1 and -3.

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2 years ago
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Answer:

angle a is 73 and angle c is 180-(73+73)=34

6 0
3 years ago
What is the solution to this problem (1,3)(5,k) m=2
Mazyrski [523]

Answer:

The solution of given problem is k = 11

Step-by-step explanation:

<u>slope of given two points formula:-</u>

slope m = \frac{y_{2}- y_{1}  }{x_{2}-x_{1}  } .....(1)

Given points are (1,3) and (5,k)

given slope m = 2

now substituting m =2 and the given points are (1,3) and (5,k)

2 = \frac{k-3}{5-1}

on simplification we get solution

k-3 = 8

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3 years ago
Whoever helps me is my saviour! I need this in by tomorrow!
Alenkasestr [34]

Answer:

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2) 2\frac{1}{3}\times \frac{1}{4}=\frac{7}{3}\times\frac{1}{4}=\frac{7}{12}

hence, answer is 7/12.

3) We have to divide £72 in the ratio 2:3:1

the total of the ratio is=2+3+1=6

so on dividing 72 into 6 parts we have 72/6=12

First '2' parts=2×12=24

second '3' part=3×12=36

last '1' part=1×12=12

so dividing £72 in the ratio 2:3:1 is: £24,£36 and £12

4) 39 people out of 65 have blonde hair.

Number of people who do not have blonde hair=65-39=26

percentage people who do not have blonde hair is given by:

=\frac{26}{65}\times100\\ \\=40%

Hence, percentage people who do not have blonde hair is 40%

5) 20% of 90= (20/100)×90

                       =18

Hence, 20% of 90 is 18.

6) Factorise

  2x^2+18x^3=2x^2(1+9x)\\\\2x^2+18x^3=18x^2(x+\frac{1}{9})

7) Expand

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x^2+4x+3=x^2+x+3x+3=x(x+1)+3(x+1)=(x+3)(x+1).

9)

y^{0}=1

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0.0342=3.42\times10^{-2}

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and z=4 x-y^3

z=4×(-4)-3^3

z= -43

12) y+2x=x-2\\\\2x-x=-y-2\\\\x=-y-2

13) 8-7x=22\\\\7x=8-22\\\\7x=-14\\\\x=-2

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Hence,  nth term is 5n.

15) (63×128)/32.9=245.106.

16) 938×21=19698.




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Answer:

true

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