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vfiekz [6]
2 years ago
15

HEEEEEEELLLLLLLLLLLLPPPPPPPPPPPPP

Mathematics
2 answers:
weeeeeb [17]2 years ago
5 0

One Opposite side pair of a trapezoid has equal length

  • KL||JM

A is true

<J is supplement to <K

  • B is false
  • D is true

JK and LM are not paralle

  • C is false

<J is congruent to <M may be true

  • Option E is false

May not be

  • F is false
jolli1 [7]2 years ago
4 0

Answer:

A.  \sf \overline{KL} is parallel to \sf \overline{JM}

D.  ∠J is supplementary to ∠K

 

Step-by-step explanation:

<u>Properties of a trapezoid</u>:

  • One pair of parallel sides (the "bases" - top and bottom sides)
  • Interior angles sum to 360°
  • The two angles that are on the same leg (left and right sides) sum to 180°

Although the sides of the shape do not have any arrows to indicate that any are parallel, we know that a trapezoid has one pair of parallel sides, so:

  • \sf \overline{KL} is parallel to \sf \overline{JM}

When two angles <u>sum to 180°</u> they are called <u>supplementary angles</u>.

As the two angles that are on the same leg sum to 180° then:

  • ∠J is supplementary to ∠K
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3 years ago
N artist makes three types of ceramic statues (large, medium, and small) at a monthly cost of $760 for 210 statues. The manufact
Arlecino [84]

Answer:

20, 90 and 100

Step-by-step explanation:

Total number of statues = 210

Assuming that a large statue = x, medium statue = y and a small statue = z

Then, x + y + z = 210........i

Also, we're told that the monthly cost is $760, so

5x + 4y + 3z = 760.........ii

Cost of selling is $3640, so then

26x + 18y + 15z = 3640.........iii

Solving i and ii simultaneously, we have

5x + 5y + 5z = 1050

5x + 4y + 3z = 760

Subtracting, we have

y + 2z = 290.........iv

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On subtracting, we have

14y + 3z = 1560.........v

And finally, solving iv and v simultaneously, we also have

14y + 28z = 4060

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On subtracting,

25z = 2500

z = 2500 / 25

z = 100

Substituting for z = 100 in iv, we have

y + 2(100) = 290

y + 200 = 290

y = 290 - 200

y = 90

Substituting for y = 90, and z = 100 in i

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x + 190 = 210

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7 0
3 years ago
Ha: μ ≠ 30 we know that the sample standard deviation is 10 and the sample size is 70. for what sample mean would the p-value be
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From the given problem the same size is n = 70. Df = n – 1 = 70 – 1 = 69.

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1.995 = x – 30 / (10 sqrt of 70)

1.995 = x – 30 / 1.1952

X – 30 = 1.995 (1.1952)

X – 30 = 2.3844

X = 30 + 2.3844

X = 32.3844

 

The sample mean is 32.3844

<span> </span>

3 0
3 years ago
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( [72-60] / 72 )*100 =  50 / 3 = 16.7 %

6 0
3 years ago
Henry is following the recipe card to make a cake. He has 95 cups of flour. How many cakes can Henry make?
ahrayia [7]
For one cake alone, find a common denominator (which is 6). So 2 2/3 (8/3) is equal to 16/6 cups. 1/2 is 3/6 cups. So for one cake, it takes 19/6 cups of flour. Henry has 570/6 (=95) cups of flour. If you divide the 570 by 19, Henry can make 30 cakes.
3 0
3 years ago
Read 2 more answers
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