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3 years ago

Which pairs of polygons are congruent?

Mathematics

1 answer:

Feliz [49]3 years ago

5 0

I’m going to go with A, because it seems they all meets the definition of congruent

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Roland was driving to campus but realized that his car is out of gas. He started driving around Syracuse looking for a gas stati

tester [92]

Answer:

Roland is right, he can be 95% sure that average gas prices have gone up since the same time last year.

Step-by-step explanation:

Let μ be average gas price around Syracuse.

Then hypotheses are:

$H_{0}:$ μ = $2.68

$H_{a}:$ μ > $2.68

Then test statistic can be calculated as:

z= $\frac{X-M}{\frac{s}{\sqrt{N} } }$ where

X is the Roland's calculated average gas prices of 50 gas stations ($2.74)

M is the average average gas prices in the entire of Syracuse last year

s is the standard deviation ($0.11)

N is the sample size(50)

Then z= $\frac{2.74-2.68}{\frac{0.11}{\sqrt{50} } }$ ≈ 3.86

Since P-value of test statistic ≈ 0.00006 <0.05 (significance level), we can reject the null hypothesis.

7 0

4 years ago

The low temperature (t) is 75 Degree F for today and the maximum temperature is 92 degree F. Write the sentence as an inequality

Yuki888 [10]

That would be

75 ≤ t ≤ 92

8 0

3 years ago

Lucero dibujo las diagonales de un polígono regular y se dio cuenta que tiene que trazar 7 diagonales más que el numero de lados

Schach [20]

Answer:

The sum of all internal angles of this polygon is: $900^o$

Step-by-step explanation:

Recall that the formula for the number of diagonals of a polygon with n-sides is given by the formula:

$diagonals=\frac{n\,(n-3)}{2}$

and since Lucero noticed that the number of digonals was 7 more that the number of sides, then, these two quantities (n + 7) and the number of diagonals must be equal. we can set an equation stating such, and solve for "n" (number of sides of the polygon):

$n+7=\frac{n\,(n-3)}{2} \\2(n+7)=n(n-3)\\2\,n+14=n^2-3\,n\\n^2-3\,n-2\,n-14=0\\n^2-5\,n-14=0\\(n-7)\,(n+2)=0\\$

therefore n = 7 or n = -2

The only answer with meaning is the first one (7 sides), since a polygon must have a positive number of sides.

Now that we know the number of sides of the polygon, we can find what the sum of its internal angles should give, based on the equation;

Addition of internal angles of a polygon is = $(n-2)\,180^o$

Which in our case renders:

$(n-2)\,180^o=(7-2)\,180^o= 5\,(180^o) = 900^o$

4 0

3 years ago

20 points!! What is the value of p? 10p+5= 18p–6/2 A–8 B–1/8 C4 D8

Artemon [7]

The answer is D.) 8

Explanation: 10p+5= 18p–6/2

Subtraction Property of equality states that you subtract the same number from both sides of an equation.

Subtract 10p from both sides of an equation

10p+5-10p = 18p-62-10p

Simplify:

5 = 8p -62

Addition Property of equality states that you add the same number from both sides of an equation.

Add 62 to both sides of an equation:

5+62 = 8p -62 +62

Simplify:

67 = 8p

Division Property of equality states that you divide the same number from both sides of an equation.

Divide by 8 in equation [3] ;

Simplify;

p = 8.375 ≈ 8 (approx)

Therefore, the value of p is, 8

Hope this helps :) sorry if wrong and sorry about confusion.

8 0

3 years ago

Help!<br> factor as the product of biomionals <br>64-16x+x^2

ruslelena [56]

Answer:

(x-8)(x-8) are the factors of the following biominals

7 0

3 years ago

Read 2 more answers