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Ainat [17]
3 years ago
9

Find the value of x in the parallelogram

Mathematics
1 answer:
const2013 [10]3 years ago
3 0

Answer:

x=50

Step-by-step explanation:

we know that

If LM is the midsegment

then

LM=\frac{1}{2}(AB+DC)

substitute the given values

4x+3=\frac{1}{2}(x+8+348)

Solve for x

8x+6=(x+356)

8x-x=356-6

7x=350

x=350/7

x=50

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Answer:

\large\boxed{x=-\dfrac{5}{4}\ \vee\ x=\dfrac{5}{4}}

Step-by-step explanation:

16y^2-25=0\\\\METHOD\ 1:\\\text{use}\ a^2-b^2=(a-b)(a+b)\\\\16=4^2\ \text{and}\ 25=5^2\ \text{therefore we have}\\\\4^2y^2-5^2=0\\\\(4y)^2-5^2=0\\\\(4y-5)(4y+5)+0\iff4y-5=0\ \vee\ 4y+5=0\\\\4y-5=0\qquad\text{add 5 to both sides}\\4y=5\qquad\text{divide both sides by 4}\\\boxed{y=\dfrac{5}{4}}\\\\4y+5=0\qquad\text{subtract 5 from both sides}\\4y=-5\qquad\text{divide both sides by 4}\\\boxed{x=-\dfrac{5}{4}}

METHOD\ 2:\\\\16y^2-25=0\qquad\text{add 25 to both sides}\\\\16y^2=25\qquad\text{divide both sides by 16}\\\\y^2=\dfrac{25}{16}\to y=\pm\sqrt{\dfrac{25}{26}}\\\\y=-\dfrac{\sqrt{25}}{\sqrt{16}}\ \vee\ x=\dfrac{\sqrt{25}}{\sqrt{16}}\\\\\boxed{y=-\dfrac{5}{4}\ \vee\ x=\dfrac{5}{4}}

7 0
3 years ago
Read 2 more answers
Meghan has her own business. When she makes money, it is called income. When she spends money, it is called expenses. Choose the
Dmitry_Shevchenko [17]

Answer:

Meghan should use positive integers to represent income. Income is money that flows into the business, and it is always positive. The higher the income, the more money a business will have.

On the other hand, expenses must be represented by negative integers. Expenses are money that flows out of a business, and is always negative. The higher the expenses, the less money the business will have. Expenses reduce a business's net income.

4 0
2 years ago
An elevator is on the twentieth floor. It goes down 11 floors and then up 5 floors. What floor is the elevator now
Llana [10]
To solve problems like this, we must simply break it down and read each part carefully. We can also set it up as a math problem to make it easier to visualize.

The elevator starts on the twentieth floor, so we will represent that with 20.

20

It goes down 11 floors, so we can represent that with a -11.

20-11=9

Now we are on floor 9. Then, we go up 5 floors, so we can represent that with a 5.

9+5=14

Using the math above, we can see the elevator is on the 14th floor.
6 0
3 years ago
What is the value of x?<br><br> Enter your answer in the box.<br> units<br><br> ___Units
kotykmax [81]

The value of x is 28 .

<h3>What is a Triangle ?</h3>

A triangle is a polygon with three sides , three angles and three vertices.

According to the Proportionality Theorem

When a line is parallel to one side and intersects the other lines at two different points then it divides both the line in similar ratio.

As in the given figure DC is parallel to AP ,

then RD : DP = RC:CA

42:15 = x: 10

42/15 = x / 10

x = 42 * 10 /15

x = 28

Therefore the value of x is 28 .

To know more about Triangle

brainly.com/question/2773823

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2 years ago
Determine the exact values of the six trigonometric functions of the real number t
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3 years ago
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