Solve for m 3-2(9+2m)=m

Mathematics

1 answer:

tester [92]2 years ago

7 0

Answer:

m=-3

Step-by-step explanation:

3-2(9+2m)=m

3-2(9)-2(2m)=m

3-18-4m=m

-15-4m=m

-15=m+4m

5m=-15

Divide by 5

5m/5=-15/5

m=-15/5

m=-3

To check if correct, subsitute m for -3 in the equation. And both sides of the equation must be equal

3-2(9+2m)=m

3-2(9+2(-3))=-3

3-2(9-6)=-3

3-2(3)=-3

3-6=-3

-3=-3

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MakcuM [25]

Answer:

64°

Step-by-step explanation:

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$\therefore m\angle DPE + m\angle APE = 180\degree \\\therefore (33k-9)\degree + 90\degree = 180\degree \\\therefore (33k-9)\degree = 180\degree -90\degree \\\therefore (33k-9)\degree = 90\degree \\\therefore 33k-9 = 90\\\therefore 33k= 90+9\\\therefore 33k= 99\\\therefore k= \frac{99}{33}\\\therefore k=3\\ m\angle CPD = (20k +4)\degree \\\therefore m\angle CPD = (20\times 3 +4)\degree \\\therefore m\angle CPD =(60+4)\degree \\\therefore m\angle CPD =64\degree \\m\overset {\frown}{CD} = m\angle CPD\\\therefore m\overset {\frown}{CD} = 64\degree$