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Elena L [17]
3 years ago
9

DF and GI are parallel lines.

Mathematics
2 answers:
Svetlanka [38]3 years ago
6 0

Angles FEH and IHJ are corresponding angles, and are congruent.

zepelin [54]3 years ago
6 0

Answer:

∠FEH and ∠IHJ

Step-by-step explanation:

Corresponding angles are angle which have the same relative position.

You might be interested in
Will the difference between 44,041 and 43,876 be greater or less than, 1,000 explain
ololo11 [35]

Answer:

Less

Step-by-step explanation:

44,041 - 43,876 is 165 and that is less than 1,000.

4 0
3 years ago
In a lab experiment, 80 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to doub
Effectus [21]

Answer:

The hourly growth rate is of 4.43%.

The function showing the number of bacteria after t hours is P(t) = 80(1.0443)^t

Step-by-step explanation:

Equation of population growth:

The equation for the population after t hours is given by:

P(t) = P(0)(1+r)^t

In which P(0) is the initial population and r is the growth rate, as a decimal.

The conditions are such that the number of bacteria is able to double every 16 hours.

This means that P(16) = 2P(0). We use this to find r.

P(t) = P(0)(1+r)^t

2P(0) = P(0)(1+r)^{16}

(1+r)^{16} = 2

\sqrt[16]{(1+r)^{16}} = \sqrt[16]{2}

1 + r = 2^{\frac{1}{16}}

1 + r = 1.0443

r = 1.0443 - 1

r = 0.0443

The hourly growth rate is of 4.43%.

80 bacteria are placed in a petri dish.

This means that P(0) = 80.

P(t) = P(0)(1+r)^t

P(t) = 80(1+0.0443)^t

P(t) = 80(1.0443)^t

The function showing the number of bacteria after t hours is P(t) = 80(1.0443)^t

6 0
3 years ago
Kallie has $45.50 saved towards a new bike. If the bike costs $184.76 including tax, how much d
alexandr1967 [171]

Answer:

Please read the step by step.

Step-by-step explanation:

184.76 - 45.50 = 139.26.|

If she wants to buy it in six weeks and only needs $139.26 you would need to divide $139.26 by 6 to see how much money she would have to make per week to meet the mark.

$139.26 divided by 6 is $26.21

Therefore Kallie would need to make $26.21 per week to reach her goal.

Looking at the equations none of the provided answers would even come close to the answer above.

1. 139.26 - 6 is not saying if it is a 6.00 or a 0.06 so it could be 133.26 or 139.20 but that wouldn't make any since involving the question.

2. 6 multiplied by 139.26 would be 835.56 but no where was it asked to multiply.

3. 139.6 - 8 isn't even brought up in the question above.

4. 45.50 x 6 is 273 and that would be too much unless tax is unreasonably high but even then it didn't mention what the tax would be. (it would be 47.76% on the dot btw)

In that case your closest bet would have to be 6x45.50 but your teacher is kind of insane to think a middle schooler should have to figure out how much a ungodly sales tax would be out of all of this.

Good luck on your assignment, I am here if you need anything else.

4 0
4 years ago
1) Alexa won 80 super bouncy balls playing horseshoes at her school's game night. Later, she gave two to each of her friends.
melisa1 [442]

Answer:1 is 36 friends. 2 is $24 as her weekly allowance. 3 is 37 students on each bus

Step-by-step explanation:1. 80-8 because 8 is the amount she has left. You would get 76 which is the amount she gave away. Then you divide 76 by 2 because she gave 2 balls to 1 friend. Then you get the amount of friends she has.

2. When we read the problem it says she spent half of her allowance on mini golf. The half is very important. She earns $20 from cleaning her parent’s car and ends up with $32 all you do is subtract the $20 from $32 because it’ll leave you with 1/2 the money she began with (32-20=12). Then she she already spent half of the money you can either add 12 or multiply the 12 by 2 to get your answer (12+12=24 or 12•2=24).

3.(229-5) you’re subtracting 5 from the 229 students because 5 of them traveled in car. Then you do 224 students divided by 6 buses and you should get 37 students per bus.

4 0
3 years ago
Mega Movies hosted a film premiere on Friday night. They charged $9 for adults and $5 for children. One hundred sixty-one adults
RUDIKE [14]
D.
15 children*5= $75
146 Adults*9=$1314

$1314+$75= $1,389 made in ticket sales
8 0
3 years ago
Read 2 more answers
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