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kicyunya [14]
3 years ago
15

Lm is the midsegment of trapezoid ABCD ab=46 dc=125 what is lm

Mathematics
2 answers:
balu736 [363]3 years ago
5 0

Answer: Choice D) 85.5

Work Shown:

To get the midsegment, we add up the sides parallel to this midsegment, then we divide by 2.

LM = (AB + DC)/2

LM = (46 + 125)/2

LM = 171/2

LM = 85.5

Andreas93 [3]3 years ago
3 0

Answer: D is the answerb

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8 0
3 years ago
Un industrial obtiene un préstamo de $ 15.000, al 23% anual por el lapso de 5 años. Calcular el monto a la finalización de este
olasank [31]

Answer:

$18,781.5

Step-by-step explanation:

According to the problem, calculation of the given data are as follows,

Loan amount (P) = $15,000

Rate of interest (r) = 23%

Time (t) = 5 years

Let this loan is compounding annually, then the amount after 5 years can be calculated as follows,

Final amount = P  (1 + ( r/t))^{t}

by putting the value in formula, we get

= $15,000 (  (1 + ( 0.23/5))^{5}

= $15,000 × 1.2521

= $18,781.5

4 0
3 years ago
When solving the equation x2 – 8x - 7 = 0 by completing the square, which equation
IgorLugansk [536]
<h3><u>A</u><u>n</u><u>s</u><u>w</u><u>e</u><u>r</u><u>:</u><u>-</u></h3>

Lets Solve

\\  \rm \longmapsto \:  {x}^{2}  - 8x - 7 = 0 \\  \\  \rm \longmapsto \:  {x}^{2}  - 8 {}^{}x = 7 \\  \\  \rm \longmapsto \: 4( {x}^{2}  - 8x) = 4 \times 7 \\  \\  \rm \longmapsto \:  {4x}^{2}  - 32x = 28 \\  \\  \rm \longmapsto \:  {(2x)}^{2}  - 2 \times 2x \times 8 = 28 \\  \\  \rm \longmapsto \: (2x) {}^{2}  - 2 \times 2x \times 8 +  {8}^{2}  = 28 +  {8}^{2}  \\  \\  \rm \longmapsto \:  {(2x - 8)}^{2}  = 64 + 28 \\  \\  \rm \longmapsto \:  {(2x - 8)}^{2}  = 92 \\  \\  \rm \longmapsto \: 2x - 8 =  \underline{ + }9.3 \\ \\  \rm \longmapsto \:2x =  8 + 9.3  \: or \: 8 - 9.3 \\ \\  \rm \longmapsto \:2x = 17.3 \:or \:  - 1.3 \\ \\  \rm \longmapsto \:2x = 17.3 \\ \\  \rm \longmapsto \:x =  \frac{17.3}{2}  \\ \\  \rm \longmapsto x = \:8.6

  • Ignore negative value
4 0
3 years ago
The five-number summary suggests that about 75% of salons in Janesville have fewer than how many stylists employed?
Archy [21]

The 5 - number summary :

Min____ Q1 ___ median ____ Q3 ____ max

7 ______ 9 _____ 12 _______ 15 _____ 18

Answer:

Hence, from the 5 number summary, about 75% of sons have fewer than 15 stylist.

Step-by-step explanation:

Explaining the table :

Minimum number of stylist salons have = 7

Maximum number of stylist = 18

Q1 = first quartile, (25 /100) ;About 25% of salons have fewer Than 9 stylist

Q2 = second quartile or median ; About 50% of salons have fewer Than 12 stylist

Q3 gives the 75th percentile value.

Q3 = third quartile (75/100) ; About 75% of salons have fewer Than 15 stylist

6 0
3 years ago
(4x)m+(5x+3)m+(5x+1)m=102 <br> Find the sides of the triangle. Perimeter =102
11Alexandr11 [23.1K]

Here is the set up:

Side 1 is 4x.

Side 2 is 5x + 3

Side 3 is 5x + 1

The perimeter is 102.

Perimeter = side 1 + side 2 + side 3

102 = 4x + 5x + 3 + 5x + 1

102 = 14x + 4

Take it from here.

5 0
3 years ago
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