In parallelogram DEFG DH=x+2 HF=2y GH=3x-3 and HE=5y+1. Find the values of x and y.

Answer:

THX FOR POINTS

Step-by-step explanation:

Answer:

x = 4[tex]\sqrt{3}[/tex], y = 8[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Using the tangent ratio in the right triangle and the exact value

tan30° = [tex]\frac{\sqrt{3} }{3}[/tex] , then

tan30° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{x}{12}[/tex] = [tex]\frac{\sqrt{3} }{3}[/tex] ( cross- multiply )

3x = 12[tex]\sqrt{3}[/tex] ( divide both sides by 3 )

x = 4[tex]\sqrt{3}[/tex]

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Using Pythagoras' identity in the right triangle

y² = x² + 12² = (4[tex]\sqrt{3}[/tex] )² + 144 = 48 + 144 = 192 ( take square root of both sides )

y = [tex]\sqrt{192}[/tex] = [tex]\sqrt{64(3)}[/tex] = 8[tex]\sqrt{3}[/tex]

Answer:

67%

Step-by-step explanation:

difference between the numbers = $8

8 ÷ 12 X 100 = 67%

Answer:

z = 4.1

Step-by-step explanation:

(4.1 + 1.1)

(5.2)

4(5.2) = 20.8

Answer:

1674

Step-by-step explanation:

Answer:

1674

Step-by-step explanation:

Answer:

y=1/2x-3

Step-by-step explanation:

Answer:

the mean is 73.3 and the median is 77

Step-by-step explanation:

for mean you add up all the values and find the average for median you line them up in number order and find the number in the middle

Answer:

hi, want to say that Math. way is a good way to solve those kind of problems try that app some time

the answer is 4

Answer:

100

Step-by-step explanation:

possibility of getting 6 in one roll = 1/6

Possibility of getting 6 in 600 rolls = 1/ 6 x 600 = 100

I hope im right!!!

Answer:

The two hidden numbers are 8 and 1.

Step-by-step explanation:

Mean of a data-set:

The mean of a data-set is given by the sum of all its values divided by the number of values.

Mode of a data-set:

The mode of a data-set is the value that appears the most.

In this question:

4, 9, x, y, 8

Mode is 8 means that at least one of them must be 8, so i will say x is 8 and we have:

4, 9, 8, y, 8

The mean of the five numbers is 6

This means that:

[tex]\frac{4+9+8+y+8}{5} = 6[/tex]

[tex]29+y = 30[/tex]

[tex]y = 30 - 29[/tex]

[tex]y = 1[/tex]

The two hidden numbers are 8 and 1.

Answer:

its first one

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Since DE is tangent to the circle, that means DE is perpendicular to EF

==> DF = sqrt(4^2+3^2) = 5

Answer:

Isosceles Triangle

Step-by-step explanation:

Triangle ABC has vertices A(-5, -1), B(5, -1), and C(0, -4). Is it scalene, isosceles or equilateral?

We solve this question using vertices formula:

√(x2 - x1)² + (y2 - y1)² when given vertices: (x1, y1) and (x2 , y2)

For Side AB

A(-5, -1), B(5, -1)

AB = √(5 - (-5))² + (-1 -(-1))²

AB= √(5 + 5)² + (-1 + 1)²

AB = √10² + 0

AB = √100

AB = 10 units

For Side BC

B(5, -1), C(0, -4)

BC = √(0 - 5)² + (-4 -(-1))²

BC = √-5² + (-4 + 1)²

BC = √25 + -3²

BC = √25 + 9

BC = √34

For Side AC

A(-5, -1), C(0, -4).

AC = √(0 - (-5))² + (-4 - (- 1)²

AC = √5² + -3²

AC = √25 + 9

AC = √34

Therefore this triangle is an isosceles triangle because 2 of its sides (AC and BC ) are equal to one another

Answer:

tüm duruma (4×4×4 den 64)

(tum durum)-(tum rakamlari farklı olan üç basamaklı sayilar) =en az iki basamağı ayni olan üç basamaklı sayılar

Answer: 41.5692

Hope I helped :)

Answer:

1. Proportional

2. Not proportional

3. Proportional

Step-by-step explanation:

We have three questions with 2 ratios and are asked if they are proportional or not.

To define proportionality, basically its if the two ratios equal the same value when put in a certain way.

And that way is :

[tex]\frac{x}{y} =\frac{x}{y}[/tex]

You will substitute the numbers with the letters, in which you will cross multiply :

[tex]\frac{x * y}{x*y}[/tex]

So subtitute :

1.

[tex]\frac{1}{3} *\frac{7}{21}[/tex]

[tex]\frac{1*21}{7*3}[/tex]

[tex]21=21[/tex]

Therefore 1. is proportional.

2.

[tex]\frac{3}{4} *\frac{24}{18}[/tex]

[tex]\frac{4*24}{3*18}[/tex]

[tex]\frac{96}{54}[/tex]

96 = 54

Therefore 2. is not proportional.

3.

[tex]\frac{1}{5} *\frac{6}{30}[/tex]

[tex]\frac{1*30}{5*6}[/tex]

[tex]\frac{30}{30}[/tex]

30 = 30

Therefore 3. is proportional.

Answer:

Wasssupppp yallll

Answer:

The original price was 520

Step-by-step explanation:

To find this, we first need to note that we paid 75% of the price. This is because we took 25% off from the original. Now we take the price we paid and divide it by the percentage of it which we paid. This will give us the original price.

390/75% = Total

390/.75 = Total

520 = Total

Answer:Isolate the variable by dividing each side by factors that don't contain the variable.

d=−5

Step-by-step explanation:

Answer:

jdjdjdbxjx byee-

Answer:

➪          

⚠︎ ☻︎

ℍ ꨄ︎

The answer is E (4,5)

-4 + 9= 5

therefore y must be 5 so it is E.

Answer:

p greater than or equal to 36

Answer:

x=9

Step-by-step explanation:

Use Pythagorean Theorem -> a^2 + b^2 = c^2

a^2 + b^2 = c^2

(12^2) + b^2 = (15^2)

144 + b^2 = 225

225 - 144 = 81

√81 = 9

x = 9

Answer:

20%, since 100 is 20% of 500.

Step-by-step explanation:

Answer:

aprox 33%

Step-by-step explanation:

Answer:

1=5

2=3

3=3

4=2

Step-by-step explanation:

Answer:

x=67

Step-by-step explanation:

Sum of all angles is 180

36+77+x=180

113+x=180

x=180-113

x=67

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Answer:

3679

Step-by-step explanation:

11,472-7,793=3679 miles left