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kondor19780726 [428]
3 years ago
11

Anyone know this geometry question?

Mathematics
1 answer:
mr Goodwill [35]3 years ago
6 0
Given:
  ∠JEK + ∠DFH = 90°

Find:
  relationship, if any, of ∠JEK to angles CFL, HFG, LFE

Solution:
  We note that ∠DFG = 90° = ∠DFH + ∠HFG, so ∠JEK ≅∠HFG.
  We also note that ∠HFG and ∠CFL are vertical angles, so ∠JEK ≅∠CFL.
  And ∠LFE and ∠DFH are vertical angles, so ∠JEK + ∠LFE = 90°.

Evaluating the choices, we find
  A) false. The angles are not complementary, they are equal.
  B) false. The angles are not equal, they are complementary.
  C) false. The angles are not supplementary, they are equal.
  D) TRUE. The angles are equal.

The appropriate choice is ...
  D) 
 ∠JEK ≅∠CFL
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Austin is watching a football game. His team loses 9 yards and then gains 5 yards. He doesn’t watch the next play, but afterward
katrin [286]
The team gained 3 yards on the play audition missed
7 0
3 years ago
Seascapes rent small fishing boats for a day-long fishing trips. each boat can carry only 1200 lb of people and gear for safety
solmaris [256]

A. We are given that each person weighs 150 lb, each gear per person weighs 10 lb, and a total of 200 pounds of gear for the boat itself.

Since each person only carries one gear, therefore total weight per person in 160 lb (weight of person + weight of gear).

So let us say that x is the number of persons, the inequality equation is:

 

160 x + 200 ≤ 1200

 

 

B. There are three groups that wish to rent the boat.

> Solve the inequality equation when x = 4

160 (4) + 200 ≤ 1200

840 ≤ 1200           (TRUE)

 

> Solve the inequality equation when x = 5

160 (5) + 200 ≤ 1200

1000 ≤ 1200         (TRUE)

 

> Solve the inequality equation when x = 8

160 (8) + 200 ≤ 1200

1480 ≤ 1200         (FALSE)

 

So only the 4 people group and 5 people group can safely run the boat.

 

 

C. Find the maximum number of people that may safely use the boat, solve for x:

 

160 x + 200 ≤ 1200

160 x ≤ 1000

x ≤ 6.25

 

Therefore the maximum number of people that can safely use the boat is 6 people.

3 0
3 years ago
Just the 3rd and 4th plz help me
Mademuasel [1]

Answer:

3. 122.025

4. 469.2

Step-by-step explanation:

16.27/2 =8.135

8.135*15= 122.025


11.73 divided by 1/2= 23.46

23.46*20=469.2

6 0
3 years ago
(Geometry)
tatiyna

Answer:

A)Isosceles Triangle

B)Scalene Triangle

C)Equilateral Triangle

D)Isosceles Triangle

E)Scalene Triangle

F)Isosceles Triangle

Step-by-step explanation:

Helped me out with the triangles on the bottom but remember

all sides diffrent= Scalene Triangle

All sides the same = Equilateral Triangle

Only 2 sides the same = Isosceles Triangle

5 0
3 years ago
The marked price of an article is Rs 400. If 5% discount is allowed, how much should
kow [346]

Answer:

Rs.380

Step-by-step explanation:

Given data

Price=  Rs 400.

Discount= 5%

Let us find the amount of the discount

=5/100*400

=0.05*400

=Rs. 20

Hence the amount that should be paid for it is

=400-20

=Rs.380

7 0
3 years ago
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