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Margarita [4]
1 year ago
8

Find the value of x and y in which each quadrilateral mist be a parallelogram.

Mathematics
1 answer:
natita [175]1 year ago
7 0

Recall the property of parallelograms that tell us that the diagonals intercept producing equal segments in each of them. Then, as the diagonals intercept in the midpoint of each diagonal, then we can create the following equations and solve them one at a time (making the measure of one segment equal the value on the other half of the diagonal):

5 y - 4 = 36 then we solve here for y

add 4 to both sides

5 y = 36 + 4

5 y = 40

divide both sides by 5

y = 40 / 5

y = 8

Now the second equation:

4 x - 10 = 18

add 10 on both sides

4 x = 28

divide both sides by 4 to isolate x

x = 28 / 4

x = 7

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An NBC News/Wall Street Journal poll conducted in 2010 predicted that 61% of Americans did not support the Tea Party movement. I
fomenos

Answer:

The right answer is:

The poll provides strong evidence that more than 61% of Americans oppose the Tea Party movement this year. Why? The P-value (0.026) is less than the significance level of 5%.

Step-by-step explanation:

At a level of significance of 5%, a P-value of 0.026 (2.6%) means that the difference is significant and the null hypothesis is rejected.

The difference between the proportions is significant, what means that more than 61% of Americans oppose the Tea Party movement this year.

Note: The difference in the sample proportions (3%) is not enough to claim that the difference is significant.

The right answer is:

The poll provides strong evidence that more than 61% of Americans oppose the Tea Party movement this year. Why? The P-value (0.026) is less than the significance level of 5%.

5 0
3 years ago
A kingfish needs to be cut into 8-ounce pieces. If the fish weights 12.5 pounds, how many pieces can be cut? 1 pound=16 ounces
Mkey [24]

Answer:

25 pieces

Step-by-step explanation:

12.5 * 16= 200 ounces

therefore 200/8=25

7 0
3 years ago
96/120 as a percentage
ivann1987 [24]
96÷120 =0.8 ⇒0.8 ×100 =80 % :))
7 0
3 years ago
Read 2 more answers
The table shows the advertised cost and total cost after sales tax is included to two items purchased.
Softa [21]

Answer:

t = 0.05a

t = 1.05a

Step-by-step explanation:

6 0
3 years ago
What is the measure of each interior angle of the regular polygon pictured below? If necessary, round to the nearest tenth.
sesenic [268]

Answer:

144

Step-by-step explanation:

The measure of each interior angle formula:

\frac{180(n-2)}{n} \\\\\frac{180(10-2)}{10} \\\\\frac{180(8)}{10} \\\\\frac{1440}{10} \\\\144

5 0
3 years ago
Read 2 more answers
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