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ioda
3 years ago
7

Please help !!!!!!!!!!!!!

Mathematics
1 answer:
saw5 [17]3 years ago
8 0
Since they are opposite angles about the intersection of two straight lines they are equal angles....

5x+12=6x-10  subtract 12 from both sides

5x=6x-22  subtract 6x from both sides

-x=-22  divide both sides by -1

x=22°

So those angles are 5*22+12=122°

Now HJI is an adjacent angle so it is 180°-122°=58°
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The width of a rectangle is the length minus 3 units. The area of the rectangle is 10
sergeinik [125]

Answer:

w=2

Step-by-step explanation:

A=length times width (A=lw)

w= l-3

A=10

Substituting in, we get:

10= l(l-3)

Now, solve the equation.

10= l^{2}-3l

l^{2}-3l-10=0

(l+2) (l-5)=0 (factoring the equation)

Therefore, l= -2 or 5

Throw out the negative value because a length of rectangle will never be negative.

Now let's solve for width

Remember w=l-3

therefore

(5)-3=2

so, w=2

(honestly, this is easier to just do in your head. But here is the long form math if you happen to run into more complicated problems.)

3 0
3 years ago
You are ordering a hamburger and can get up to 7 toppings, but each topping can only be used once. You tell the cashier to surpr
natima [27]

Answer:

Probability, P(getting 2 toppings)= 0.1984

Step-by-step explanation:

Probability, P(1 toppings)= 1/7

Probability P of getting a particular topping is q = 1 - P = 1 - 1/7 = 6/7

Probability of( getting 2 toppings)= 7!/(2!5!)(1/7)^2 × (6/7)^5

P(getting 2 toopings)= (5040/240) × (0.020)× (0.4627)

P(getting 2 toppings)= 21 × 0.00948 = 0.1984

6 0
3 years ago
One year, the population of a city was 80,000. Several years later it was 66,400. Find
Shalnov [3]

Answer:

The population decrease by 17%.

Step-by-step explanation:

This is because 66,400 is 83% of 80,000.

100%-83%= 17%

Therefore, the percentage of the population that decreased was 17%

7 0
3 years ago
3x=15-6y in slope intercept form
sdas [7]

Answer:  y= -1/2x + 5/2

Step-by-step explanation:

3x = 15 -6y

+6y       + 6y

3x +6y =15

-3x           -3x

6y= 15-3x   divide both sides by 6

y= 15/6 - 3/6x

in slope intercept form us y= -3/6x + 15/6  in simplest form is y= -1/2x + 5/2

3 0
3 years ago
5. Four bottles of Powerade cost $3.88. Find
Ede4ka [16]

Answer: .97 cents

Step-by-step explanation:

$3.88 ÷ 4 bottles of Gatorade = .97 cents each

5 0
3 years ago
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