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3 years ago

In parallelogram LMNO, what are the values of x and y?

Mathematics

2 answers:

borishaifa [10]3 years ago

8 0

Answer:

C.) x=55, y=14

Step-by-step explanation:

Norma-Jean [14]3 years ago

6 0

In a parallelogram, if two opposites are congruent, then the two opposites are equal. We apply this description to solve the problem.
∠O = ∠M since they are opposite
2x = 3x - 55
55 = 3x - 2x
55 = x

Total of all angles in the parallelogram is 360°
∠L + ∠N +∠O +∠M=360°
360° - ∠O -∠M = ∠L + ∠N note that ∠L =∠N
360° -110° -110° = 2∠N
70° = ∠N

Solving for Y,
∠N = 5Y = 70°
Y=70/5
Y=14

Therefore, the value of "x" is 55 and the value of "y" is 14. The answer is the letter "C".

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Help me please with this

AysviL [449]

Since both angle are congruent (equal/same), which means that both side is equal to 40 degrees, we will put the equation like this:

5x - 5 = 40

Now we’ll solve for x:

5x - 5 = 40
+ 5 + 5 (Add 5 to both sides)

5x = 45
—- —— (Five both side by 5)
5 5

x = 9

Now we left with x, so x is equal to 9.

8 0

3 years ago

Yuri computes the mean and standard deviation for the sample data set 12, 14, 9, and 21. He finds the mean is 14. His steps for

Tpy6a [65]

Answer:

B. Yuri divided by n instead of n-1

Step-by-step explanation:

It was stated in the question that the dataset was sample dataset. For a sample dataset, the standard deviation is given by the formula,

σ = √ Σ (Xi - mean)²/(n - 1) where i = 1,2,3.....n

Since this is just a sample dataset and not the whole population, Yuri should have divided by n-1 instead of n.

3 0

3 years ago

Greg budgeted carefully and by the time he turned 30 his retirement account balance was $22,000. If that amount grew at a rate o

Ratling [72]

Answer:

$618,253.61

Step-by-step explanation:

30 to 65 is 35 years

22000 × (1 + 10/100)³⁵

22000 × 1.1³⁵

618253.6107

6 0

4 years ago

Latanya and George

tekilochka [14]

Question is Incomplete, Complete question is given below.

Latanya and George are saving up money because they both want to buy new bicycles. Latanya opened a savings account with $50. She just got a job and is determined to save an additional $30 a week. George started a savings account with $75. He is able to save $25 a week. Find the time (in weeks) when Latanya and George will have the same amount of money in their savings accounts.

Answer:

Latanya and George will have same amount after 5 weeks.

Step-by-step explanation:

Given:

Opening Amount in account of Latanya = $50

Amount deposited every week = $30

Let number of week be 'w'.

Total Amount in Latanya savings account will be equal to Opening Amount plus Amount deposited every week multiplied by number of week.

framing in equation form we get;

Total Amount in Latanya savings account = $50+30w$

Also Given:

Opening Amount in account of George = $75

Amount deposited every week = $25

Let number of week be 'w'.

Total Amount in George savings account will be equal to Opening Amount plus Amount deposited every week multiplied by number of week.

framing in equation form we get;

Total Amount in George savings account = $75+25w$

Now we need to number of week when both will have same amount.

Now to find number of week when both will have same amount we need to make both the equation same we get;

$50+30w = 75+25w\\\\30w-25w = 75-50\\\\5w=25\\\\w=\frac{25}{5}=5$

Hence Latanya and George will have same amount after 5 weeks.

8 0

3 years ago

A walkway is being constructed using square cement tiles that each have an area of 19.0 ft2. 6 tiles will be lined up end to end

allochka39001 [22]

Answer:

26.3 feet

Step-by-step explanation:

We have to first find the length of the side of each tile.

The area of each tile is 19.2 $ft^2$ .

The area of a square is:

A = $L^2$

where L = length of side

Therefore:

$19.2 = L^2\\\\L = \sqrt{19.2} = 4.38 feet$

6 tiles will be lined end to end to construct the walkway, hence, the length of the walkway is:

6 * 4.38 ≅ 26.3 feet

7 0

4 years ago