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Rama09 [41]
3 years ago
11

Help please...... 28, 29, 30 please show work

Mathematics
1 answer:
love history [14]3 years ago
5 0

(28)

∠WAE = ∠WAM + ∠MAE

Since M bisects ∠WAE then ∠WAM = ∠MAE, hence

8x = 5x + 15 ( subtract 5x from both sides )

3x = 15 ( divide both sides by 3 )

x = 5

∠WAM = 8 × 3 = 24°

∠MAE = (5 × 3 ) + 15 = 30°

(29)

∠ABC = 90°, hence

∠ABD + ∠DBC = 90, that is

6x + 5 + 5x - 3 = 90

11x + 2 = 90 ( subtract 2 from both sides )

11x = 88 ( divide both sides by 11 )

x = 8

∠ABD = (6 × 8 ) + 5 = 53°

∠DBC = (5 × 8 ) - 3 = 37°

(30)

EH = EF + FG + GH = 28, hence

2x - 1 + x + 5 + x = 28

4x + 4 = 28 ( subtract 4 from both sides )

4x = 24 ( divide both sides by 4 )

x = 6

EF = (2 × 6 ) - 1 = 11

FG = 6 + 5 = 11



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8 0
3 years ago
Dylan just started a running plan where he runs 14 miles the first week and then increases the number of miles he runs by 10% ea
Vladimir79 [104]

Answer:

36 miles

Step-by-step explanation:

Given - Dylan just started a running plan where he runs 14 miles the first

            week and then increases the number of miles he runs by 10% each

            week.

To find - If he keeps up this plan for 11 weeks, how many total miles would  

              Dylan have run ?

Proof -

1st week = 14 miles

2nd week = 14 + 10% of 14 = 14 + 1.4 = 15.4

3rd week = 15.4 + 10% of 15.4 = 15.4 + 1.54 = 16.94

4th week = 16.94 + 10% of 16.94 = 16.94 + 1.694 = 18.634

5th week = 18.634 + 10% of 18.634 = 18.634 + 1.8634 = 20.4974

6th week = 20.4974 + 10% of 20.4974 = 20.4974 + 2.04974 = 22.54714

7th week = 22.54714 + 10% of 22.54714 = 22.54714 + 2.254714 = 24.801857

8th week = 24.801857  + 10% of 24.801857  = 24.801857  + 2.4801857  = 27.2820427

9th week = 27.2820427  + 10% of 27.2820427  = 27.2820427+ 2.72820427  = 30.01024697

10th week = 30.01024697  + 10% of 30.01024697  = 30.01024697 + 3.001024697  = 33.01127167

11th week = 33.01127167  + 10% of 33.01127167  = 33.01127167 + 3.301127167  = 36.31239884 ≈ 36

∴ we get

Total miles Dylan would run = 36 miles.  

8 0
3 years ago
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Answer:

drxtcfygvuihon

Step-by-step explanation:

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3 years ago
How many different arrangements of 7 letters can be formed if the first letter must be W or K (repeats of letters are allowed)?
mestny [16]

Answer:

Written

tin

ten

tent

wit

Step-by-step explanation:

is this Correct

coz I don't get the queen

4 0
3 years ago
Which sentence would be a good counter example to this statement ?
ArbitrLikvidat [17]

Answer:

The answer is "Option D".

Step-by-step explanation:

A line is a horizontal 1D-dimensional representation without any thickness and extends in every way. It sometimes is also known as the straight line. The line, which connects two planes lies simultaneously on both planes, that's why in this question only "option D" is correct.

8 0
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