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siniylev [52]
2 years ago
8

in parallelogram JKLM, the ratio of the measure of angle J to the measure of angle M is 5:4. Find the measurement of angle J and

the measurement of angle M.
Mathematics
1 answer:
Helga [31]2 years ago
5 0
Since we know that these two are consecutive angles and consecutive angles add up to 180 deg, we can come up with the equation 4x +5x =180. Solving this out shows us that x = 20 and the measure of angle J is 100 deg while the measure of angle M is 80 deg. 
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barxatty [35]
<h2>Answer: x=-2(-y+4)</h2>

Step-by-step explanation:

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-2x+4y-4y=16-4y

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-2x=16-4y

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-2x/-2=16/-2- 4y/-2

<h2>x=-2(-y+4)</h2>

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Bumek [7]

Answer:

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Step-by-step explanation:

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2 years ago
A father's age is 4 times as that of his son's age. in 5 years time, the father will be 3 times as old as his son. what are thei
Vadim26 [7]

Answer:

<h3>present age of son = 10 </h3><h3>present age of father = 40</h3>

Step-by-step explanation:

Let, present age of son be 'x'

present age of father be 'y'

y = 4x→ equation ( i )

After five years,

Son's age = x + 5

father's age = y + 5

According to Question,

y + 5 = 3(x + 5)

Put the value of y from equation ( i )

4x + 5 = 3(x + 5)

Distribute 3 through the parentheses

4x + 5 = 3x + 15

Move variable to L.H.S and change it's sign

Similarly, Move constant to R.H.S. and change its sign

4x - 3x = 15 - 5

Collect like terms

x = 15 - 5

Calculate the difference

x = 10

Now, put the value of X in equation ( i ) in order to find the present age of father

y = 4x

plug the value of X

= 4 \times 10

Calculate the product

= 40

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Present age of son = 10

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8 0
3 years ago
Give each trig ratio as a fraction in simplest form.
nirvana33 [79]

Answer:

Step-by-step explanation:

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sin(D) = 20/29

D = arcsin(20/29)

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cos( 43.60281897 °)= DF / 29

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sin(D) = 20/29

cos(D) = 21/29

tan(D) = 20 / 21

sin(E) = 21/29

cos(E) = 20/29

tan(E) = 21 / 20

7 0
3 years ago
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