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lisov135 [29]
3 years ago
15

I need help with this problem. ​

Mathematics
1 answer:
AfilCa [17]3 years ago
7 0

Answer:

x=6,\\m\angle 1=18^{\circ}

Step-by-step explanation:

Since the problem denotes the figure as a parallelogram, \overline{AB} is parallel to \overline{DC}. Therefore, angles 1 and 2 are equal (from corresponding angles and vertical angles).

Therefore, we have the following equation:

m\angle 1=m\angle 2,\\x+12=6x-18,\\30=5x,\\x=\boxed{6}

Substituting x=6:

m\angle 1=x+12=6+12=\boxed{18^{\circ}}

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I need some assistance please
zzz [600]

Answer:

2x + y = 20 .     y=3x

2x + 3x = 20

5x = 20

x/5 = 20/5

x = 4

(4,0)

6 0
3 years ago
A right triangle is labeled with the hypotenuse 12m and an acute angle 23 degree
IgorLugansk [536]

Answer:

sin23= x/12

sin23(12)=x

0.391(12)=x

x=4.7 or 5

3 0
3 years ago
Indiana’s population has increased by 9.5% since 2000, when it was about 6 million people. What is Indiana’s population now?
fomenos

Answer:

The answer is 3,166.7

Step-by-step explanation:

2,000*9.5 = 19,000

19,000/6 = 3,166.6666

4 0
3 years ago
F(x) = x°-9x
laila [671]
F(x)=x^3-9x
and
g(x)=x^2-2x-3

so you just need to divide f(x) by g(x)

Therefore:

f(x)/g(x) = (x^3-9x) / (x^2-2x-3)

and of course you need to factor these two function to see if some factor would cancel another

x^3-9x = x(x^2-9)=x(x-3)(x+3)
and
x^2-2x-3 = (x-3)(x+1)





8 0
3 years ago
Four hundred people were asked whether gun laws should be more stringent. three hundred said "yes," and 100 said "no." the point
Anna11 [10]
To find relative frequency of no voters; 

p(A)=favourable outcomes/total outcomes 

p(A)=100/400 

= 1/4 or 0.25 

Therefore, the probability a person will respond with a no is 0.25.

Hope I helped :)
8 0
3 years ago
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