Which set of angles measures could be the angles of a triangle?

Answer:

c: Fugitive Slave Act

Step-by-step explanation:

Search on Google.

Answer:

answer is (A) the Kansas Nebraska Act

Step-by-step explanation:

Answer:

linear and non-proportional

Step-by-step explanation:

1/45 \(\neq\) 1/30

2/60 = 1/30

Answer:

B linear & non proportional

Step-by-step explanation:

it DOESNT go thru 0,0

its a straight upward line

every point has the same rate

changes at a constant rate

x changed so does y

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Answer:

There is an asymptote at x = 0

There is an asymptote at y = 23

Step-by-step explanation:

Given the function:

(23x+14)/x

Vertical asymptote is gotten by equating the denominator to zero

Since the denominator is x, hence the vertical asymptote is at x = 0. This shows that there is an asymptote at x = 0

Also for the horizontal asymptote, we will take the ratio of the coefficient of the variables in the numerator and denominator

Coefficient of  x at the numerator = 23

Coefficient of x at the denominator = 1

Ratio = 23/1 = 23

This means that there is an asymptote at y = 23

Answer:

x = 46°

Step-by-step explanation:

Angles on a straight line sum to 180°.

Therefore, the interior angle of the triangle that forms a linear pair with the exterior angle marked 130° is:

⇒ 180° - 130° = 50°

The interior angle of the triangle that forms a linear pair with the exterior angle marked 96° is:

⇒ 180° - 96° = 84°

The interior angles of a triangle sum to 180°. Therefore:

⇒ 50° + 84° + x = 180°

⇒ 134° + x = 180°

⇒ 134° + x - 134° = 180° - 134°

⇒ x = 46°

Therefore, the size of angle x is 46°.

Answer:

sorry i really don't know :(

The 95.44% confidence interval for the population mean is approximately (19.87 minutes, 24.73 minutes).

To calculate the 95.44% confidence interval for the population mean, we can use the following formula:

Confidence Interval = sample mean ± (critical value) * (standard deviation / sqrt(sample size))

First, let's determine the critical value. Since the confidence level is 95.44%, we need to find the z-score that corresponds to a tail probability of (1 - 0.9544)/2 = 0.0228. Looking up this value in the standard normal distribution table or using a statistical calculator, we find that the z-score is approximately 2.17.

Next, we need to determine the standard deviation of the population. Since we don't have that information, we'll use the sample standard deviation as an estimate. Let's assume the sample standard deviation is 5 minutes.

Now we can calculate the confidence interval:

Confidence Interval = 22.3 ± (2.17) * (5 / sqrt(20))

Calculating the expression inside the parentheses:

= 22.3 ± (2.17) * (5 / sqrt(20))

= 22.3 ± 2.17 * (5 / 4.472)

= 22.3 ± 2.17 * 1.118

Calculating the confidence interval:

Lower Limit = 22.3 - (2.17 * 1.118)

Upper Limit = 22.3 + (2.17 * 1.118)

Lower Limit = 22.3 - 2.42706 ≈ 19.87294

Upper Limit = 22.3 + 2.42706 ≈ 24.72706

Therefore, the 95.44% confidence interval for the population mean is approximately (19.87 minutes, 24.73 minutes).

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Answer:

Step-by-step explanation:

\(We\ summarize\ (1) \ and\ (2),\ \ (2) \ and\ (3):\\\displaystyle\\\left \{ {{2x\geq -6\ |:2} \atop {-2x\geq -6\ |:(-2)}} \right. \ \ \ \ \ \left \{ {{x\geq -3} \atop {x\leq 3}} \right. \ \ \ \ \ \Rightarrow\ \ \ \ x\in[-3;3].\\\)

\(2)\ We\ subtract\ equation\ (2) \ from \ equation (1),\)

The probability that the T-shirt John picks is dark blue is 2/3.

To find the probability that John picks a dark blue T-shirt, we'll need to consider the total number of blue T-shirts and the number of dark blue T-shirts.
Determine the total number of blue T-shirts.
John has 2 dark blue and 1 light blue T-shirt, so he has a total of 2 + 1 = 3 blue T-shirts.
Determine the number of dark blue T-shirts.
John has 2 dark blue T-shirts.
Calculate the probability.
The probability that John picks a dark blue T-shirt is the number of dark blue T-shirts divided by the total number of blue T-shirts.
Probability = (Number of dark blue T-shirts) / (Total number of blue T-shirts) = 2 / 3.

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Answer:

There are 102 marbles in the jar

Step-by-step explanation:

16+18 = 34

34 = 1/3

3×34 = total marbles

3×34 = 102

Answer:

103°

Step-by-step explanation:

The total angle in a nonagon is 1260. To get the missing angle, we add up all the given angle together and subtract it from 1260.

138 + 154º + 145° + 132° + 148° + 143 + 147 + 150 = 1157

1260 - 1157 = 103

Therefore, the missing angle is 103°

Answer:

B

Step-by-step explanation:

a fraction is equal to 0 when the numerator is 0

x - 4 = 0

x = 4

The correct answer is x=4.

Step-by-step explanation:

When the numerator is 0, a fraction is equal to 0.

x - 4 = 0

x = 4

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Answer:

the answer to that question is 11/16

Using the probability principle, the probability of picking two tiles which sums above 7 is 11/16.

Recall :

The only way to choose two tiles which sums up to a number greater than 7 would be :

Since selection is performed with replacement ;

The probability of choosing two tiles whose sum is greater than 7 ;

Hence, probability of choosing tiles with a sum greater than 7 is 11/16

Therefore, the probability of picking two tiles which sums above 7 is 11/16.

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Answer:

30

Step-by-step explanation:

Answer:

The side of the base measures 7 yd. The height is 9 yd.

Step-by-step explanation:

V = (1/3)s²h

where s = side of the base, and h = height of the pyramid.

Let s = side of the base.

Then, h = s + 2.

(1/3)(s²)(s + 2) = 147

s³ + 2s² = 441

s³ + 2s² - 441 = 0

The volume is 147 cu yd.

If it were a cube, the volume would be 441 cu yd.

Cubic root of 441 is 7.6, so start with a guess of 7.

s³ + 2s² - 441 = 0

s = 7

7³ + 2(7²) - 441 =

= 343 + 98 - 441

= 0

7 is a root of the equation.

Try 7 yd as the side of the square.

(1/3)(7 × 7)(7 + 9) = 147

Answer: The side of the base measures 7 yd. The height is 9 yd.

The number of cans of paint used per square foot is 0.08 can

Number of cans used per square foot = Total cans of pains used / Total square feet of metal painted

= 4/50

= 0.08 can per square foot

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Based on the information given, it can be noted that the equation solved shows that the number of cans used will be 0.08 per square foot.

From the information given, it was stated that Jamars class painted 50 square feet of metal using 4 cans of paints.

Let the number of cans they used per square foot be represented by x.

Therefore, this will be:

x = 4/50 = 0.08

Therefore, the correct option is 0.08 per square foot.

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a. The price of the consol is approximately $133.33.

b. The new price of the consol would be $100. The price of the consol falls by 24.99% and the interest rate rises by 1%.

c. Your holding period return is approximately -49.99%.

a. The price of the consol can be calculated using the formula for the present value of a perpetuity:

Price = Annual Payment / Interest Rate

In this case, the annual payment is $4 and the interest rate is 3%. Substituting these values into the formula:

Price = $4 / 0.03 ≈ $133.33

Therefore, the price of the consol is approximately $133.33.

b. To calculate the new price of the consol if the interest rate rises to 4%, we use the same formula:

New Price = Annual Payment / New Interest Rate

Substituting the values, we get:

New Price = $4 / 0.04 = $100

The percentage change in the price of the consol can be calculated using the formula:

Percentage Change = (New Price - Old Price) / Old Price * 100

Substituting the values, we have:

Percentage Change in Price = ($100 - $133.33) / $133.33 * 100 ≈ -24.99%

The percentage change in the interest rate is simply the difference between the old and new interest rates:

Percentage Change in Interest Rate = (4% - 3%) = 1%

Comparing the two percentages, we can see that the price of the consol falls by approximately 24.99%, while the interest rate rises by 1%.

c. The holding period return can be calculated using the formula:

Holding Period Return = (Ending Value - Initial Value) / Initial Value * 100

The initial value is the purchase price of the consol, which is $133.33, and the ending value is the price of the consol after one year with an interest rate of 6%. Using the formula for the present value of a perpetuity, we can calculate the ending value:

Ending Value = Annual Payment / Interest Rate = $4 / 0.06 = $66.67

Substituting the values into the holding period return formula:

Holding Period Return = ($66.67 - $133.33) / $133.33 * 100 ≈ -49.99%

Therefore, the holding period return is approximately -49.99%.

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Step-by-step explanation:

Elijah runs at constant speed

2.4 hours -----------> 13.8 miles

1 hour ---------------> 13.8/2.4

1 hour ---------------> 5.75 miles

Elijah run 5.75 miles in each hour at constant speed

Answer:

y= 6x-8

Step-by-step explanation:

you pick two y values and subtract them. then take two x values and subtract them. divide those two awnsers with y on top. the -8 is the y intercept because when x is 0, the y is -8.

Answer:

Step-by-step explanation:

recall slope m is:

slope = m

m = (y2-y1) / (x2-x1)

point P1 (0,-8)  in the form (x1,y1)

point P2(1,-2)  in the form (x2,y2)

m = { -2-(-8) } / { 1-0 }

m = { -2+8 } / 1

m = 6 /1

m = 6

then plug in any point, I'll use P1

y - y1 = m(x -x1) (point-slope formula)

y - (-8) = 6*(x-0)

y+8 = 6x

y= 6x -8  (slope-intercept formula)  :)

The polar curve r = -2 sin θ can be graphed by first plotting the graph of r as a function of θ in Cartesian coordinates. To do this, we can set r = y and θ = x, and then plot the resulting equation y = -2 sin x.

This graph will have the shape of a sinusoidal wave with peaks at y = 2 and troughs at y = -2.
To sketch the same polar curve in Cartesian form, we can use the conversion equations x = r cos θ and y = r sin θ. Substituting in the given polar equation, we get x = -2 sin θ cos θ and y = -2 sin² θ. Simplifying these equations, we get x = -sin 2θ and y = -2/3 (1-cos² θ). This graph will have the shape of a four-petal rose.
The graphs from Part (a) and Part (b) are different because they represent different equations. Part (a) is the graph of y = -2 sin x, which is a sinusoidal wave. Part (b) is the graph of a four-petal rose. However, both graphs share some similarities in terms of their shape and symmetry. They are both symmetrical about the origin and have a repeating pattern.
In conclusion, we can sketch a polar curve by first graphing r as a function of θ in Cartesian coordinates and then converting it to Cartesian form. The resulting graphs may look different, but they often share similar patterns and symmetries.

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Answer:

15

Step-by-step explanation:

the answer is 15

Answer: 4x5-45÷9=15

Step-by-step explanation:

Answer:

43

Step-by-step explanation:

you plug in the values

3m^2 + 2p^2 - 15

= 3(3)^2+2(10)^2-15

= 3×9+2×100-15

= 27+200-15

= 227-15

= 212

Just subtitute the value of m and p to the equation

Hope it help u :)

Answer:

38°

Step-by-step explanation:

Complementary means that they add up to 90
So then to find the measure of angle 2, subtract the measure of angle 1 from 90.

90-52=38

Answer:

38°

Step-by-step explanation:

Complementary means that the two angles add up to 90 degrees.

m∠1 + m∠2 = 90°

Substitute using the given value of m∠1

52° + m∠2 = 90°

m∠2 = 38°

Hope this helps :)

Have a great day!

Answer:

There would be 10 more Girls.

She ran 15 miles at a quicker speed based on the information supplied. See explanation below. This is a distance time problem.

The distances between the two "half" of the race are our unknowns here. We must assign them to variables - Alicia ran x miles in the first half of the race and y miles in the second.

Since the race is 21 miles in total, x and y together must add up to 21.

Hence,

x + y = 21

The speeds at which she raced and the total time involved are then given; we can link this to the distances using the speed and distance equation

d = st, or t = d/s.

Because she completed in two hours, the hours spent running the first and second parts must sum up to two hours, or:

x/8 + y/12 = 2

Two equations are sufficient to solve for two unknowns. We can approach this by multiplying the second equation by the LCM, 24

3x + 2y = 48

And rearrange the first to get y = 21 - x, which we can plug into the above. This gives us:

3x + 2(21 - x) = 48

3x + 42 - 2x = 48

x = 6

Use y = 21 - x again:

y = 21 - (6) = 15.

Recall that the question asks how long she ran at the faster speed - this would be the second half of the race, which we've labeled y, so 15 miles. But first, let's make sure our solution works.

Obviously, 15 + 6 = 21, thus the overall distance is correct.

In terms of time, 6 miles at 8 mph takes

6/8 =.75 hours = 45 minutes, whereas

15 miles at 12 mph takes 15/12 = 1.25 hours = 75 minutes.

As stated in the question, the total time to complete would be.

75 + 1.25 = 2 hours.

As a result, this solution is correct, as Alicia ran 15 miles at a quicker rate.

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Answer: If the corresponding angles of two triangles are not congruent, then the triangles are not congruent.

Step-by-step explanation:

If the corresponding angles of two triangles are not congruent, then the triangles are not congruent.

A contrapositive statement is when you take the original statement, "flip" it around, and write the opposite of the original statement. Here's an example:

Original statement: The grass is wet because it was raining.

Contrapositive statement: It was not raining, so the grass is not wet.

Notice how we "flipped" the original sentence around, as wrote it's "opposite".

The solution to the given expression \(\frac{7}{5} \times ({\frac{1}{4} \div \frac{7}{4} }) \times (-10)\) is -2. Option (C) of all is correct.

Mathematically, an expression is a combination of numbers, variables, operations, and functions that are combined according to specific rules to represent a mathematical computation or relationship. It can be thought of as a mathematical phrase or formula.

To evaluate the expression  \(\frac{7}{5} \times ({\frac{1}{4} \div \frac{7}{4} }) \times (-10)\) , we follow the order of operations (PEMDAS/BODMAS), which dictates that we perform the division first, then the multiplication.

Division: \(\frac{1}{4}\) ÷ \(\frac{7}{4}\) can be rewritten as \(\frac{1}{4} \times \frac{4}{7}\) since division is equivalent to multiplying by the reciprocal.

\(\frac{1}{4} \times \frac{4}{7}\) = \(\frac{1}{7}\)

Multiplication: Now we can multiply the fractions and the remaining number.

\(\frac{7}{5} \times \frac{1}{7} \times (-10)\) = \(\frac{-70}{35}\)

                      = -2.

Therefore, the value of the expression \(\frac{7}{5} \times ({\frac{1}{4} \div \frac{7}{4} }) \times (-10)\) is -2.

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Triangle ABC is congruent to Triangle CDA using the SSS rule.

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

SSS rule states that,

If the three sides of one triangle are equal to the three sides of another triangle, then the triangles are congruent.

To prove:

ΔABC ≅ ΔCDA.

AB = DC ( given)

AD = BC (given)

AC = AC (common to both the triangles)

ΔABC ≅ ΔCDA ( By SSS rule )

Thus,

ΔABC ≅ ΔCDA by SSS rule.

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