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pantera1 [17]
11 months ago
13

In parallelogram DEFG, DH equals X +3, HF equals 3Y, GH equals 2X -5 and HE equals 5Y plus to find the values of X and Y

Mathematics
1 answer:
daser333 [38]11 months ago
8 0

The values of X and Y are 30 and 11 respectively

<h3>How to determine the values of X and Y?</h3>

The figure that represents the complete question is added as an attachment

The given parameters are:

DH = X +3

HF  = 3Y

GH = 2X -5

HE = 5Y

From the attached parallelogram, we have:

DH = HF

GH = HE

Substitute the known values in the above equation

X + 3 = 3Y

2X - 5 = 5Y

Make X the subject in X + 3 = 3Y

X = 3Y - 3

Substitute X = 3Y - 3 in 2X - 5 = 5Y

2(3Y - 3) - 5 = 5Y

Expand

6Y - 6 - 5 = 5Y

Evaluate the like terms

Y = 11

Substitute Y = 11 in X = 3Y - 3

X = 3*11 - 3

Evaluate

X = 30

Hence, the values of X and Y are 30 and 11 respectively

Read more about parallelograms at:

brainly.com/question/3050890

#SPJ1

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For the second week of June, Kevin Adams worked 46 hours. Kevin earns $18.40 an hour. His employer pays overtime for all hours w
zimovet [89]

<u>Answer:</u>

$165.60 overtime money only

$736 regular time only

added together (gross income)

$901.60

<u>Step-by-step explanation:</u>

  • 46hrs
  • 18.40 an hr
  • hrs <em>over</em> 40 = overtime= *1.5

To figure out if there is any overtime here, we <em>subtract</em>.

46-40= 6hrs of overtime

To figure out the amount of cash gained for regular time, we <em>multiply.</em>

40*18.40 = 736

----------------

We need to know how much money is paid per overtime hour.

18.40*1.5 = 27.60

To figure out the amount of cash gained during overtime, we <em>multiply.</em>

6*27.60 = 165.60

<em>add</em> for gross income (total earnings)

165.60+736 = 901.60

7 0
2 years ago
The probability of drawing a quarter from a bag of coins is 4/5. What is the probability of drawing a coin that is not a quarter
elixir [45]
The sum of probability for an event happening and not happening must be equal to 1 because there is a 100% chance that one or the other will occur.

So the probability on not drawing a quarter:

P(!Q)=1-4/5

P(!Q)=5/5-4/5

P(!Q)=1/5

As a percentage:

p/100=1/5

p=100/5

p=20%
8 0
2 years ago
Mark has no basketballs. cat has eight basketballs and Sophia has six balls how many do they have all together?
Aleks04 [339]

14 because Mark has none, Cat has 8 and Sophia has 6 so 8+6=14.

4 0
3 years ago
5/8 of the 64 musicians in a music contest are guitarists. Some of the guitarists play jazz solos, and the rest play classical s
motikmotik

The first thing we must do for this case is find the number of total guitarists.

We have then:

(\frac{5}{8}) * (64) = 40

We now look for the relationship between the number of guitarists playing jazz alone to the total number of guitarists.

We have then:

\frac{x}{40} = \frac{1}{4}

Where,

x: number of guitarists playing jazz alone

From here, we clear the value of x.

x = (\frac{1}{4}) * (40)\\x = 10

Then, the number of guitarists who play classical solo is:

40 - 10 = 30

Answer:

30 guitarists play classical solos in the contest

5 0
3 years ago
Read 2 more answers
Which term can be added to the list so that the greatest common factor of the 3 terms is 12h3
sashaice [31]
The term that can be added to the list so the GCF is 12h3 would be 48h5. 
The reason being is that 48 is first divisible by 12 and does not yield a fraction, and we can remove upon dividing 3 h's from this term as it contains a total of 5 h's.
3 0
3 years ago
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