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arsen [322]
3 years ago
10

Can someone please help me with this

Mathematics
1 answer:
Archy [21]3 years ago
4 0

Step-by-step explanation:

By Exterior Angle theorem,

(5y + 3)° + (4y + 8)° = 146°

=> 9y + 11 = 146

=> y = 15.

Hence Angle ABC = (4y + 8) = [4(15) + 8]° = 68°.

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What is the product of the complex numbers 3 - 4iand 6+i where i= -1
mixas84 [53]

Answer:

35

Step-by-step explanation:

Since i=-1, we can rewrite the equation as 3-[4(-1)} multiplied by 6+(-1). Since

4 x-1=, 3-(-4)=7. 6-1=5, and 7x5=35.

5 0
2 years ago
Read 2 more answers
Length of a rectangle is 5 cm longer than the width. Four squares are constructed outside the rectangle such that each of the sq
stiv31 [10]

Answer:

18

Step-by-step explanation:

Remark

This is one of those questions that can throw you. The problem is that do you include the original rectangle or not. The way it is written it sounds like you shouldn't

However if you don't the question gives you 2 complex answers. (answers with the sqrt( - 1) in them.

Solution

Let the width = x

Let the length = x + 5

Area of the rectangle: L * w = x * (x + 5)

Area of the smaller squares (there are 2)

Area = 2*s^2

x = s

Area = 2 * x^2

Area of the larger squares = 2 * (x+5)^2

Total Area

x*(x + 5) + 2x^2 + 2(x + 5)^2 = 120                 Expand

x^2 + 5x + 2x^2 + 2(x^2 + 10x + 25) = 120     Remove the brackets

x^2 + 5x + 2x^2 + 2x^2 + 20x + 50 = 120      collect the like terms on the left

5x^2 + 25x +  50 = 120                                   Subtract 120 from both sides.

5x^2 + 25x - 70 = 0                                         Divide through by 5

x^2 + 5x - 14 = 0                                               Factor

(x + 7)(x - 2) = 0                                                 x + 7 has no meaning  

x - 2 =  0

x = 2                                                              

Perimeter

P = 2*w + 2*L

w = 2

L = 2 + 5

L = 7

P = 2*2 + 2 * 7

P = 4 + 14

P = 18

8 0
2 years ago
Someone plz help me on number 4 and 5
nexus9112 [7]
I hope that this made sense to you.

number 4 is x = 9 and number 5 is x = 10

3 0
2 years ago
Evaluate -4² please hurry
alexgriva [62]

squaring something multiplies it by itself. -4^2 = -4*-4 = 16

8 0
3 years ago
Read 2 more answers
Solve 15/k when k=3 please
Shtirlitz [24]

Answer:

15 divided by 3 is 5

Step-by-step explanation:

Hope this helps

6 0
2 years ago
Read 2 more answers
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