What is the next item in the pattern -1, 2, -4, 9

Name an angle adjacent to ∠DGE. A. ∠FGI B. ∠EGH C. ∠HGJ D. ∠JGI

spin [16.1K]

Answer: Choice B) Angle EGH

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The given angle is DGE. Exactly two of the letters (D, G, and E) will be found in any adjacent angle to this given one. For example, angle FGD is adjacent to DGE because of the shared letters D and G. The two angles share the segment DG.

Similarly, angle DGE is adjacent to EGH for the same reason. Now segment EG is the overlapping shared segment. Note how "E" and "G" can be found in the given angle and the answer.

Edit: see the attached image for visual proof. The given angle is in red. The angle for the answer is in blue.

7 0

3 years ago

An assembly line produces 2 toasters per minute. It is 2:00pm and the line has finished 560 out of its goal of 900 for the day.

LenaWriter [7]

Answer:

I won't stop the line for a half hour break.

Step-by-step explanation:

Proportions

One quantity A is said to be proportional to other B if A can always be obtained by multiplying or dividing B by any constant number. Numbers {4,8,12} are proportional to {2,4,6} because they can be computed as twice their value

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There is a situation described in the problem where we need to know if there will be enough time to produce the 900 toasters (the goal for the day) when the assembly line is stopped by half an hour.

Actual time: 2:00 pm

Final time: 5:00 pm

Rate of production: 2 toasters/minute

Actual production: 560 toasters

Updated goal: 900-560 = 340 toasters

Those 340 toasters must be produced in the remaining 3 hours (180 minutes) of work. If the assembly line stops for half an hour (30 minutes), there will be only 150 minutes to finish the goal production. At a rate of 2 toasters/minute, there will be 2*150 = 300 toasters produced. But we need to produce 340 more toasters, so that break cannot be granted or we'll be 40 toasters under goal.

It the line keeps producing for 180 minutes, it would produce 2*180 = 360 toasters, 20 more than the goal.

Note: The maximum break time that can be granted is 20/2 = 10 minutes

4 0

4 years ago

Which answer is in slope intercept form for the given equation? 4x + 2y = 10

german

2y=-4x+10
y=2/-4x+2/10
y=-2x+5

3 0

4 years ago

PLEASEE HELP ASAPPPP! x9/x4 PLEASSEEEEEEEE

Semmy [17]

Answer:

x^5

Step-by-step explanation

If this is dividing exponents, you just subtract the denominator from the numerator.

5 0

4 years ago

Why are 7 and 2 like terms? help please!!

bazaltina [42]

Like terms are terms whose variables are the same. In this case, 7 and 2 have no coefficients therefore are like terms. For example, 7x and 2x would both be like terms because they have the same coefficient which is x.

7 0

3 years ago