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2 years ago

Given: quadrilateral MNOL with MN ≅ LO and ML ≅ NO

2 answers:

5 0

The answers are ONM, NOM, and alternate interior angles.
Based on the SSS postulate, the two triangles △MLO and △ONM are congruent since three sides of △MLO are respectively equal to the three sides of △ONM.
Based on CPCTC, all of the corresponding angles of △MLO and △ONM are congruent as well since the two triangles are congruent, that is,
∠LMO≅∠NOM and ∠NMO≅∠LOM.
Since the pair ∠LMO and ∠NOM as well as ∠NMO and ∠LOM are angles on the inner side of two lines but on opposite sides of the transversal MO, these pairs of angles are also alternate interior angles.

AnnyKZ [126]2 years ago

4 0

Answer:

1. ONM

2. NOM

3. alternate interior angles

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The area of a trapezoid is 864 cm2. It has a height of 24 cm, and the length

Paha777 [63]

Answer:

Step-by-step explanation:

Area of trapezium = 1/2 × h (a+b) = 864 cm^2

where h is the height and a and b are the two parallel sides

h = 24 cm

a = 30 cm

b = ?

1/2 × 24 ( 30 + b ) = 864

12 ( 30 + b ) = 864

30 + b = 864/12

30 + b = 72

b = 72 - 30

b = 42

Therefore the lenght of other base = 42 cm

Plz mark it as brainliest !!!!!!!!!!

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2 years ago

Write the simplest form of a rational number 177/413

olchik [2.2K]

117 and 413 have no common denominator, so 117/413 is it's simplest form

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2 years ago

Read 2 more answers

Jada invests $590 in a money market account her account pays 7.2% simple interest if she does not add or withdraw any money how

denis-greek [22]

Answer:

$169.92

Step-by-step explanation:

<em>Multiply Yearly Interest By How Many Years</em>

7.2 * 4 = 28.8

<em>Take 28.8 Percent Of Amount Of Money In The Account</em>

28.8 percent of 590 = 169.92

3 0

2 years ago

You are in charge of a crew that inspects cars. Each car takes approximately 1/2 hour for 1 person to inspect. The normal crew h

jonny [76]

Answer:

Each inspectors NEEDS to work 20 hours in order to review 320 cars.

Step-by-step explanation:

The amount of time taken to inspect 1 car = 1/2 hr = 0.5 hr

The total people in crew are supposed to be 10

But 2 people are MISSING.

So, the total number of present people in crew = 10 - 2= 8

The total number of cars to be inspected = 320 cars.

Since each car takes 0.5 hour to be reviewed.

So, the time required to review 320 cars = 320 x 05 = 160 hours.

So, the total hours needed to inspect all 320 cars = 160 hours

Now,as there are total 8 crew members.

$\implies \textrm{The number of hours each inspector needs to work} = \frac{\textrm{Total working hours needed}}{\textrm{Toal number of inspectors}} \\= \frac{160}{8} = 20$

Hence , each inspectors NEEDS to work 20 hours in order to review 320 cars.

7 0

2 years ago

A dentist is making identical dental care bags for patients using 56 tubes of toothpaste, 112 packets of floss, and 85 toothbrus

marin [14]

Answer : Greatest number of identical dental care bags the dentist can make with the least items leftover is 1.

Number of bags will be 2,4,3 respectively.

Explanation:

Number of tubes of toothpaste = 56

Number of packets of floss = 112

Number of toothbrushes = 85

So, Greatest number of identical dental care bags the dentist can make with the least amount of items leftover from toothbrush = H.C.F of 56,112, 85= 1 ( ∵ as they are coprime to each other )

Since there is no common factor among 56,112,85 but there is common factor between 56 and 112 i.e. 56 remaining bags from toothbrushes will be 85-56=29 .

So we consider 28 ,

Now, 56 can be written as 28×2

112 can be written as 28×4 and

84 can be written as 28× 3

So, there can be 28 bags in which all the three materials can be present and there is no leftover from toothpaste and floss but there is leftover from toothbrushes only as we consider 84 instead of 85 to get divisible by 28 so we get the common factor easily.

so, there will be 2 two bags for toothpastes and 4 bags for floss and 3 bags for toothbrushes.

8 0

2 years ago