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Charra [1.4K]
3 years ago
12

KLM is isosceles. Calculate the segment EF from the data in the drawing. HELP!!

Mathematics
1 answer:
Arte-miy333 [17]3 years ago
5 0

Answer:

4.5 cm

Step-by-step explanation:

KL = LM as triangle is isosceles

LM = KM as LF = FM = KN = NM, so the triangle is equilateral

EF ║ NM as LE⊥EF and LN⊥NM

EF is half the midsegment as ∠KLN ≅ ∠MLN, and LN is angle bisector of ∠KLM

Midsegment is half the side length, and all sides are 18 cm.

EF = 1/2(1/2*18) = 4.5 cm

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Marshall drove to work in rush hour traffic, going just 27 miles in 1 hour and 20 minutes. Later that day, he left work early to
iragen [17]

Answer:

The average speed of Marshall is 29.7 mph

Step-by-step explanation:

Given;

distance traveled to work, d₁ = 27 miles

distance traveled back home, d₂ = 27 miles

initial time taken, t₁ = 1 hour and 20 minutes

final time taken, t₂ = 29 minutes

Total distance traveled, d = d₁ + d₂ = 27 miles + 27 miles = 54 miles

Total time taken for the journey, t = t₁ + t₂ = 1 hour + ( 20 mins + 29 mins)

t = 1 hour + 49 mins = 1 hour + 0.817 hour = 1.817 hour

The average speed is given by;

v = total distance / total time

v = 54 miles / 1.817 hour

v = 29.7 mph

Therefore, the average speed of Marshall is 29.7 mph

8 0
3 years ago
If AB≅DE, BC = EF, and ∠ACB ≅ ∠DFE, then ΔABC ≅ ΔDEF.
Ede4ka [16]

Answer:

false

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Yolanda used a reconciliation worksheet provided by her bank. Line 5 should equal line 6 at the end of the reconciliation, but i
forsale [732]

Answer is 19.99 dollars

Explanation:

Let us draw the reconciliatin done by Yolanda linewise

Banking reconciliation Worksheet Amount of Mega

1) Closing balance                                                       $ 345 89

2) the sum of any outstanding deposits or credits.         0.00

3)   Sum of 1 and 2                                                          345.89

4. sum of any outstanding checks or debits.                $ 37 51 5.

5) (3)-(4)                                                                           $ 308 38

6) checkbook balance.                                                   $ 328 37  

7) Difference (6)-(5)                                                         $   19.99


SInce difference is exactly 19.99 dollars Yolanda should look for the amount 19.99 dollars to find a solution to the problem i.e. to see the reason for the difference between lines 5 and 6                

4 0
3 years ago
Read 2 more answers
Convert 10 yards to feet
densk [106]

Answer:

30 feet

Step-by-step explanation:

each yard is 3 feet 3x10=30

6 0
3 years ago
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On three 150-point geography tests, you earned grades of 88%, 94%, and 90%. The final test is worth 250 points. What percent do y
Semmy [17]
You must earn 243 points to have earned 93% of all possible points.

We first multiply each percentage on the previous tests by 150:

0.88*150 = 132
0.94*150 = 141
0.9*150 = 135

The total number of points possible is given by adding up the possible points for the three previous tests and the 250 for the last test:
150+150+150+250 = 700

93% of the 700 points would be 0.93(700) = 651 points.

Now we have 132+141+135+x (last test) = 651
408 + x = 651

Subtract 408 from both sides:
408+x-408 = 651-408
x = 243
7 0
3 years ago
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