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3 years ago

Select the best attribute for the angle pair formed by two parallel lines intersected

Mathematics

1 answer:

Inga [223]3 years ago

7 0

Answer:

Corresponding Angles sum to 180°

Step-by-step explanation:

If a pair of parallel lines is cut by transversal that is not perpendicular to the parallel lines as shwon in the figures (attached below), then;

Four angles are acute, and four are obtuse.

All four acute angles are equal: 2=3=6=7
All four obtuse angles are equal: 1=4=5=8
The sum of acute and obtuse angles is 180: for example, 1+2=180, 3+4=180, 5+6=180, 7+8=180

so the best attribute for the angle pair formed by two parallel lines intersected by a transversal is that Corresponding Angles sum to 180°.

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An artist agrees to paint a landscape painting at 0.30 per square inch. if the painting is 13 inches by 17 inches, how much shou

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We know that
[area of the painting]=13 in* 17 in-----> 221 in²

if a<span>n artist painting at
$0.30 per --------------> 1 in</span>²
x$--------------> 221 in²
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the answer is
$66.30

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3 years ago

Find all the numbers for each shape

irina1246 [14]

Answer:

1 = pentagon
2 = diamond
3 = square
5 = circle
6 = rectangle
7 = oval
8 = triangle
9 = hexagon
10 = trapezoid

Step-by-step explanation:

Each half of a hanger divides the total weight in half. The right-most vertical has a total weight of 80/16 = 5. It consists of a square and a diamond, and we know the square is 1 more than the diamond. That means 2 diamonds weigh 5 -1 = 4. A diamond weighs 2, and a square weighs 3. The other half of that balance is a circle, which weighs 5.

The total of a square and oval is 10, so the oval is 10 -3 = 7. The two trapezoids weigh 20, so each is 10.

The second vertical from the left is a circle and diamond which will weigh 5+2 = 7. That makes the sum of a pentagon and rectangle also be 7. The 7+7 = 14 below the square on the left branch makes the total of that branch be 14+3 = 17, which is also the sum of the triangle and hexagon.

The weight below the rectangle at top left is 17+17 = 34, and the weight of that entire branch is 40. Thus the rectangle is 40-34 = 6, which makes the pentagon 7-6 = 1.

We require the sum of the triangle and hexagon be 17, with the triangle being the smaller value, and both being 9 or less (the trapezoid is the only figure weighing more than 9). Hence the triangle is 8 and the hexagon is 9.

The weights are summarized in the answer section, above.

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2 years ago

A motor with an efficiency of 75% must supply 240 j of useful work. what amount of work must be supplied to the motor? j 180 j 3

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Work applied to motor is 320j.

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3 years ago

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If f(x) and g(x) are inverse functions of each other, which of the following shows the graph of f(g(x))? On a coordinate plane,

Rudiy27

Answer:

its .B

Step-by-step explanation:

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3 years ago

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According to a poll, 55 % of Americans do not know that GOP stands for Grand Old Party (Time, October 17, 2011). Assume that thi

Ivenika [448]

Answer:

$\hat p \sim N (p , \sqrt{\frac{p(1-p)}{n}})$

The mean is given by:

$\mu_{\hat p} = 0.55$

And the deviation:

$\sigma_{\hat p} =\sqrt{\frac{0.55*(1-0.55)}{953}}= 0.0161$

Step-by-step explanation:

For this case we assume that the true population proportion of Americans do not know that GOP stands for Grand Old Party is 0.55 and we select a random sample of n = 953 americans

For this case we assume that we satisfy the conditions to use the normal approximation for $\hat p$

1) np >10 , n(1-p)>10

2) Independence

3) Random sample

4) The sample size is less than 10% of the population size

We assume that all the conditions are satisfied and the distribution for $\hat p$ would be:

$\hat p \sim N (p , \sqrt{\frac{p(1-p)}{n}})$

The mean is given by:

$\mu_{\hat p} = 0.55$

And the deviation:

$\sigma_{\hat p} =\sqrt{\frac{0.55*(1-0.55)}{953}}= 0.0161$

3 0

3 years ago