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soldier1979 [14.2K]
3 years ago
11

Find the value of x ?

Mathematics
2 answers:
enyata [817]3 years ago
4 0

Answer:

Step-by-step explanation:

∠E = ∠G

∠D= ∠F because it’s a parallelogram ==> D=F=2x+12 and E=G=5x

5x+2x+12=180

7x=168

X=24

Solution 2:

2*5x+2*(2x+12)=360

10x+4x+24=360

14x=360-24=336

X=336/14

X=24

Fofino [41]3 years ago
4 0

Answer:

{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{☺☺Hope\ it\ helps\ you}}}}}}}}}}}}}

A/Q

5x+2x+12=180(Sum of adjacent angles is 180)

=>7x+12=180

=>7x=180-12

=>x=168/7

Hence,x=24....

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A rhombus has diagonals measuring 12 units and 16 units. What is the perimeter of the rhombus?
Misha Larkins [42]
4 * side^2 = diagonal1 ^2 + diagonal2 ^2
4 * side^2 = 12^2 + 16^2
4 * side^2 = 144 + 256
4 * side^2 = 400
side^2 = 100
side = 10
So the perimeter = 4*10 = 40


5 0
4 years ago
For what values of a and b are x+1 and x+2 factors of x3 – ax2 – bx –8? Write down the other factor.
emmainna [20.7K]
<h2>For a = 1 and b = 10 x+1 and x+2 factors of  x³-ax²-bx-8 = 0</h2><h2>Other factor is (x-4)</h2>

Step-by-step explanation:

We have

                 x³-ax²-bx-8 = 0

Its factors are x+1 and x+2

That is x = -1 and x = -2 are its roots

Substituting x = -1

               (-1)³-a(-1)²-b(-1)-8 = 0

                -1 - a + b - 8 = 0

                      b - a = 9 ---------------------eqn 1

Substituting x = -2

               (-2)³-a(-2)²-b(-2)-8 = 0

                -8 - 4a + 2b - 8 = 0

                      2b - 4a = 16 ---------------------eqn 2

eqn 1 x -2

                      -2b + 2a = -18 ---------------------eqn 3

eqn 2 + eqn 3

                      -2a = -2

                          a = 1

Substituting in eqn 1

                        b - 1 = 9

                         b = 10

For a = 1 and b = 10,  x+1 and x+2 factors of  x³-ax²-bx-8 = 0

The equation is  x³-x²-10x-8 = 0

Dividing with x + 1 we will get

                   x³-x²-10x-8 = (x+1)(x²-2x-8)

Dividing (x²-2x-8) with x + 2 we will get

                  x²-2x-8 = (x+2)(x-4)

So we have

               x³-x²-10x-8 = (x+1)(x+2)(x-4)

Other factor is (x-4)

8 0
3 years ago
Answer to 2ab(3a+4ab)
EleoNora [17]

Answer:

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Step-by-step explanation:

Use the Distributive Property to get the above answer.

* All you need to know is that according to the Product-to-Power Exponential Rule, whenever you multiply similar bases, you keep the base and add the exponents.

I am joyous to assist you anytime.

6 0
3 years ago
A magazine printed photos of three celebrities along with three photos of the celebrities as babies. The baby pictures did not i
Anna35 [415]

The probability of matching the first one correctly is  1/3 .
Then there are only two baby-pix left, so ...
The probability of matching the second one correctly is  1/2 .
Then there's only one baby-pic left, so ...
The probability of matching the third one correctly is  1 .

So the probability of matching all three correctly is

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4 years ago
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Can someone please help Im failing , I also need the work . It’s trig
Brut [27]

Answer:

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