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Ket [755]
2 years ago
5

Find the value of x in the following parallelogram x =

Mathematics
1 answer:
iVinArrow [24]2 years ago
5 0

Answer:

x=60\degree

Step-by-step explanation:

Consecutive angles of a parallelogram are are supplementay.

\implies \: x  + 2x  = 180 \degree \\  \\ \implies \: 3x  = 180 \degree \\  \\ \implies \: x  = \frac{ 180 \degree }{3} \\  \\ \implies \: x  =60 \degree

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The sum of two integers is 9 and the sum of their squares is 53. Find the integers.
Schach [20]
X + y = 9 Subtract x from both sides.
y = 9 - x

x^2 + y^2 = 53
x^2 + (9 - x)^2 = 53 Remove the brackets.
x^2 + 81 - 18x + x^2 = 53 Collect the like terms on the left.
2x^2 - 18x + 81 = 53 Subtract 53 from both sides.
2x^2 - 18x + 81 - 53 = 0
2x^2 - 18x + 28 = 0 This factors, but you can see it much easier if you pull out 2 as a common factor.
2(x^2 - 9x + 14) = 0
2(x - 2)(x - 7) =0 You could divide by 2 on both sides. But you can also leave it.
x - 2 = 0
x =  2
x - 7 = 0
x = 7
If x = 2 then y = 7
If x = 7 then y = 2
6 0
3 years ago
Which graph has an amplitude of 1/2?
Serjik [45]

Answer:

Step-by-step explanation:

The only graph shown in the question doesn't have amplitude 1/2. look for a graph of a periodic wave function that has maximum y-value 1/2 (0.5) and minimum y-value 1/2 (0.5), or if it is not oscillating around the x-axis, verifies that the distance between minimum y-value and maximum y-value is "1" (one). This is because the amplitude is half of the peak-to-peak distance.

Look at the attached image as example.

8 0
3 years ago
What are the coordinates of the point where the line y = -x +5 intersects the x-axis?
Alona [7]

The answer is (3,0)

<em>Sure hope this helps you</em>

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4 0
2 years ago
Which expression represents the follow-
Varvara68 [4.7K]

Answer:

the sum of x and 5.

x + 5

the sum of is adding

4 0
3 years ago
Add or Subtract to Simplify:<br> (x5 + x3) - (6x - x3 + 6x5)
ziro4ka [17]

Answer:

\boxed{ \bold{   \boxed{ \sf{ - 5 {x}^{5}  + 2 {x}^{3}  - 6x}}}}

Step-by-step explanation:

\sf{( {x}^{5}  +  {x}^{3} ) - (6x -  {x}^{3}  + 6 {x}^{5}) }

When there is a ( - ) in front of an expression in parentheses , change the sign of each term.

Also, remove the parentheses

⇒\sf{ {x}^{5}  +  {x}^{3}  - 6x +  {x}^{3}  - 6 {x}^{5} }

Collect like terms

⇒\sf{ {x}^{5}  - 6 {x}^{5}  +  {x}^{3}  +  {x}^{3}  - 6x}

⇒\sf{ - 5 {x}^{5}  + 2 {x}^{3}  - 6x}

Hope I helped!

Best regards!!

3 0
3 years ago
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