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vlabodo [156]
3 years ago
8

URGENT! Are these congruent? If so by which theorem

Mathematics
1 answer:
timurjin [86]3 years ago
8 0

Answer:

They are congruent by the AAS theorem!

Step-by-step explanation:

Sides EF and HJ are congruent, angles E and J are congruent and angles EGF and HGJ are congruent because they are vertical angles. Therefore, the triangles are congruent by the AAS theorem!

Hope this helps you :)

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Helphelphelphelphelp​
harina [27]

Answer:

1.) Gallon

2.) Pound

3.) Foot

Step-by-step explanation:

Hope this helps :)

3 0
4 years ago
What Is the Answer To number 1 ?
DochEvi [55]

Answer: 4 apples for $3.64


Step-by-step explanation:

The best buy is going to be the one that costs the least. To figure this out, you divide the number of apples by the price. (do not round)

4/3.64=1.09

9/8.01=1.23

14/12.43=1.12

24/21.12=1.13

As you can see, the 4 apples for $3.64 is the better choice since the number is the least.

5 0
4 years ago
A B R and P are four points on a circle with centre 0. A O R and C are four points on a different circle. The two circles inters
Slav-nsk [51]

Answer:

x° = ∠OBR = ∠ABC (base angles of a cyclic isosceles trapezoid)

Step-by-step explanation:

APRB form a cyclic trapezoid

∠APO  = x° (Base angle of an isosceles triangle)

∠OPR  = ∠ORP (Base angle of an isosceles triangle)

∠ORB = ∠OBR (Base angle of an isosceles triangle)

∠APO + ∠OPR + ∠OBR = 180° (Sum of opposite angles in a cyclic quadrilateral)

Similarly;

∠ORB + ∠ORP + x°  = 180°

Since ∠APO = x° ∠ORB = ∠OBR and ∠OPR  = ∠ORP we put

We also have;

∠OPR = ∠AOP = ∠BOR (Alternate interior angles of parallel lines)

Hence 2·x° + ∠AOP = 180° (Sum of angles in a triangle) = 2·∠OBR + ∠BOR

Therefore, 2·x° = 2·∠OBR, x° = ∠OBR = ∠ABC.

6 0
3 years ago
Your crew can pave two driveways in a day. You work five days per week but take off 2 weeks each year for holidays and vacations
k0ka [10]
According to Philippine Payroll Regulations and Information, there will be a total of 247 working days for all employees working from Mondays to Fridays and considered Saturdays and Sundays as rest days. If the two weeks off is referring to employees working days only, it means employee can file a leave for 14 equivalent days off. Computations will be Total driveways= (247 days-14 days off) * 2 driveways per day and the answer is 466 driveways.
5 0
4 years ago
Frankie has guinea pigs, a land tortoise, and a hamster. The hamster needs 4 oz of food every 6 hours. The guinea pig needs 12 o
Anit [1.1K]

The hour all animals get fed at the same time if Frankie starts at 6:00 Am is 6:00 pm

<h3>Common multiple</h3><h3 />
  • Hamster 4oz of food = 6 hours
  • Guinea pigs 12oz of food = 12 hours
  • Land tortoise 24oz of food = 24 hours

Find the lowest common multiple

  • 6 hours = 6, 12, 18, 24
  • 12 hours = 12, 34, 36
  • 24 hours = 24, 48, 72

The lowest common multiple of 6, 12 and 24 is 12

if Frankie starts at 6:00 Am?

6:00 am + 12 hours

= 6:00 pm

Therefore, the hour all animals get fed at the same time if Frankie starts at 6:00 Am is 6:00 pm

Learn more about common multiple:

brainly.com/question/10749076

#SPJ1

6 0
2 years ago
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