Triangle ABC is dilated by a scale factor of 1.5 to form Triangle DEF. Are Triangles ABC and DEF congruent? Why or why not?

Answer:

1.25 hours

Step-by-step explanation:

While driving on the highway, Mason put his car on cruise control at 68 miles per hour. Therefore it takes 1.25 hours to drive 85 miles.

Answer:

what does the graph look like

Step-by-step explanation:

This is just an algebraic problem, the correct option is:

"Myra should have multiplied 4.5 and 2.1 first."

Here we want to evaluate the expression:

-31.7 + 4.5*x

in x = 2.1

This just means that we need to replace x by 2.1 in the given equation.

Now, what Myra does is:

-31.7 + 4.5*2.1 = -27.2*2.1

So she took the sum between -31.7 and 4.5 first, this is her mistake, you only would do that if the expression was:

(-31.7 + 4.5)*2.1

But in our expression:

-31.7 + 4.5*2.1

The first thing you need to solve is the product in the second term, so we get:

-31.7 + 4.5*2.1 = -31.7 + 9.45 = -22.25

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Answer:

5.5 km/h

Step-by-step explanation:

→ 5% of 110

→ (5/100) × 110

→ 0.05 × 110

→ 5.5 km/h

Answer:

Nijah has 6 stickers left.

Step-by-step explanation:

Starting stickers:

45

2/5 are given away:

\(\frac{2}{5}\) * 45

\(\frac{2}{5}\) * \(\frac{45}{1}\)

\(\frac{90}{5}\)

18

1/3 of the remaining are given away:

\(\frac{1}{3}\) * 18

\(\frac{1}{3}\) * \(\frac{18}{1}\)

\(\frac{18}{3}\)

6

Nijah has 6 stickers left.

Answer:

18

Step-by-step explanation:

Find the part she gave to her sister

45 *2/5 = 18

The part remaining is

45 - 18 = 27

She gives 1/3 to Brett

27 * 1/3 = 9

She has 27 - 9 = 18

She has 18 remaining

Answer:

The answer is -49

Step-by-step explanation:

the answer is going to be 49

Answer:

false

Step-by-step explanation:

15²+30² =  225+900 = 1125

35² = 1225

Since Pythagoras theorem doesn't hold for this triangle, it is not a right triangle.

Answer:

1 = 19.     3 = 21.     7 = 25

Step-by-step explanation:

w = t + 18

19 = 1 + 18

21 = 3 + 18

25 = 7 + 18

Answer:

25, 1+pie/2, 12/5, root(17) - 2

Step-by-step explanation:

Im sorry I can't type each number as it appears on your book. My phone's keyboard...

The formula for allocation deviation is as follows:σA = (w1σ1^2 + w2σ2^2 + … + wσn^2)^(1/2)σB = (w1σ1^2 + w2σ2^2 + … + wσn^2)^(1/2)

Here,

σ1 = 15%

σ2 = 10%

w1 = 50%,

w2 = 50%

Substituting the values in the above formula:

σA = (0.5 × 0.15^2 + 0.5 × 0.10^2)^(1/2)

= (0.0225 + 0.0100)^(1/2)

= 0.0158 = 1.58%σB

= (0.5 × 0.15^2 + 0.5 × 0.10^2)^(1/2)

= (0.0225 + 0.0100)^(1/2)

= 0.0158

= 1.58%

Hence, the correct option is

D. σ(A) = 14.14%;

σ(B) = 16.33%.

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The length of the secant AC, obtained using the tangent secant theorem is AC = 25 units

The tangent secant theorem indicates that when a secant ABC and a tangent, CD meets at an external point C  to a circle, the relationship between segments are; AC × BC = CD².

Segment addition postulate indicates that we get;

AC = AB + BC

Where;

AB = 3·x + 1

BC = 9

Therefore;

AC = (3·x + 1) + 9 = 3·x + 10

AC × BC = (3·x + 10) × 9 = 27·x + 90

AC × BC = 27·x + 90

CD = 15

CD² = 15² = 225

AC × BC = CD²

Therefore; 27·x + 90 = 225

27·x = 225 - 90 = 135

x = 135/27 = 5

x = 5

AC = 3·x + 10

Therefore; AC = 3 × 5 + 10 = 25

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26.= 6000ft.

1.convert the yards to feet 100 yards= 300 ft

2. to find the area multiply the 20 ft by 300 ft

3. answer is 6000 ft

4 . if the answer needs to be in yards use a converter to convert the feet to yards

Answer:ken

Step-by-step explanation:

Answer: it is 5 times bigger

Step-by-step explanation:

Answer:

Imaginary 0= 18

I think it will help you

This is a point, so it has x- and y-coordinates. Both of these coordinates are positive, therefore the point must be in the first quadrant.

The pattern for the points on a unit circle is 3 - 2 - 1 starting at 0 and up to pi/2. The pattern for the radian denominators on a unit circle is 6 - 4 - 3 starting at 0 and up to pi/2.

(sqrt(3) / 2, 1/2) = pi / 6 radians

Hope this helps!

Answer:

A. pi/6 radians

Step-by-step explanation:

The ratio of the lengths of the sides of a 30-60-90 triangle is

1/2 : sqrt(3/2) : 1

sin theta = opp/hyp

tan theta = 1/2 / 1

tan theta = 1/2

theta = pi/6 radians

Answer: A. pi/6 radians

(a) The domain closed and bounded.

(b) The domain bounded.

(c) The domain closed.

(d) The domain bounded.

(e) The domain closed and bounded.

(f) The domain closed and bounded.

In this question, we have been given some domains.

We need to check which domains are closed and which are bounded.

A domain of function is said to be closed if the region R contains all boundary points.

A bounded domain is nothing but a domain which is a bounded set.

(a) {(x,y)∈R2:x^2+y^2≤1}

The domain of x^2+y^2≤1 contains set of all points (x, y) ∈R2

so, the domain closed and bounded.

(b) {(x,y)∈R2:x2+y2<1}

The domain of x^2+y^2 < 1 contains set of all points (x, y) ∈R2

so, the domain is bounded.

(c) {(x,y)∈R2: x ≥ 0}

The domain of x ≥ 0 is R2 - {x < 0}

So, the domain is closed.

(d) {(x, y) ∈ R2 : x > 0,y > 0}

The domain is R2 - {(x, y) ≥ 0}

So, the domain is bounded.

(e) {(x, y) ∈ R2 : 1 ≤ x ≤ 4, 5 ≤ y ≤ 10}

The domain is closed and bounded.

(f) {(x,y)∈R2:x>0,x^2+y^2≤10}

The domain is closed and bounded.

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The proportion of people with weights between Marie's and Geraldine's is approximately 0.1762, or 17.62%.

To find the proportion of people with a weight between Marie's and Geraldine's, we need to calculate the area under the normal distribution curve between their respective z-scores.

Let's denote the proportion of people with weights between Marie's and Geraldine's as \( P(M < X < G) \), where \( M \) represents Marie's z-score and \( G \) represents Geraldine's z-score.

To calculate this proportion, we can use a standard normal distribution table or a statistical software. Since Marie's z-score is 0.53 and Geraldine's z-score is 1.43, we need to find the area under the curve between these two z-scores.

Using a standard normal distribution table or a statistical software, we find that the proportion of people with weights between Marie's and Geraldine's is approximately 0.1762, or 17.62%.

Therefore, approximately 17.62% of people have a weight in-between Marie's and Geraldine's.

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Answer:

Han forgot to divide -10x by 4

Step-by-step explanation:

Han made a mistake when isolating y in the slope intercept equation.

When dividing both sides by 4, he only divided 20 by 4, and forgot to divide -10x by 4.

The equation in slope intercept form should have been y = -2.5x + 5

Using this, the x intercept should have been (2, 0) instead. He got the y intercept right, which is (0, 5)

So, the mistake he made was forgetting to divide -10x by 4

The error in the calculation made is that Han did not divide 10x by 4 to Obtain the correct slope - intercept relation :

From ; 4y = 20 - 10x

Divide both sides by 4 to isolate y :

y = 5 - 2.5x

Hence, the slope intercept equation is y = 5 - 2.5x

X - intercept :

Value of x ; when y = 0

0 = 5 - 2.5x

2.5x = 5

x = 5 / 2.5

x = 2

Hence, intercept = (2, 0)

Y - intercept :

Value of y when x = 0

y = 5 - 2.5(0)

y = 5 - 0

y = 5

y - intercept = (0, 5)

Therefore, the error made is failing to divide 10 by 4 in the slope intercept equation.

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Answer:

x = d/5 - $50

Step-by-step explanation:

Basiclly what this sentence is saying that the price d is equal to $250 + 5 prices of staying in a hotel for a night.

If we let "x" be the price per night then we can get the following..

d = $250 + 5x

5x = d - $250

\(x = \frac{d - 250}{5}\)

x = d/5 - $50

The numeral EA3 (base 16) is equivalent to 3,523 in base 10.

To convert the numeral EA3 (base 16) to base 10, we can use the formula:

\((14 * 16^2) + (10 * 16^1) + (3 * 16^0) = 3,523\)

Therefore, the numeral EA3 (base 16) is equivalent to 3,523 in base 10.

To understand how this conversion works, it is helpful to first understand what these two number systems represent.

Base 16 (hexadecimal) is a positional number system that uses 16 digits: 0-9 and A-F. Each digit represents a different power of 16, with the rightmost digit representing 16^0, the next digit to the left representing 16^1, and so on. Therefore, the numeral EA3 (base 16) can be interpreted as:

\(14 * 16^2 + 10 * 16^1 + 3 * 16^0\)

To convert this numeral to base 10 (decimal), we simply evaluate this expression:

14 * \(16^2\) = 3,584

10 * \(16^1\)= 160

3 * \(16^0\) = 3

Adding these values together, we get:

3,584 + 160 + 3 = 3,523

Therefore, the numeral EA3 (base 16) is equivalent to 3,523 in base 10.

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Answer:

34079 millimeters

Step-by-step explanation:

__________________________________

I assume you mean millimeters, but

All together adds up to 79 millimeter

34000 + 40 + 5 = 34079 mm

__________________________________

Hope this helped

(Edit) Sorry I didn't see meters

Answer:

Step-by-step explanation:

First, you need to graph all given points in the table, that way you will be able to determine the end behavior.

Remember, the end behavior of a function is the behavior of f(x) as x approaches to positive infinity and negative infinity.

So, based in the graph, we can say that as x approaches to positive infinity, f(x) approaches to negative infinity, and as x approaches to negative infinity, f(x) approaches to negative inifinity. In other words, in either case, f(x) always approaches to negative infinity.

Therefore, the right answer is the last choice.

Answer:

As x → ∞, f(x) → –∞, and as x → –∞, f(x) → –∞

Step-by-step explanation:

Just took the test!!!

The error term is a random variable with an expected value of zero.2. The error term is normally distributed

The assumptions underlying the simple linear regression model `y = Bo + B1x + e` are: 1.

The variance of the error term e is constant across all values of x.Thus, the assumptions that are underlying the simple linear regression model `y = Bo + B1x + e` are the second and the third options, which are "The error term is normally distributed." and "The variance of the error term e is constant across all values of x." respectively.

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a. The graph of the budget line would have hamburgers on the x-axis and bags of figs on the y-axis. b. the budget line equation represents Rachel's affordability based on her income and the prices of hamburgers and figs. Changes in prices, income, or additional resources can affect the slope, position, or rotation of the budget line on a graph.

a) Rachel's budget line equation can be written as follows:

Budget = (Price of Hamburger * Quantity of Hamburgers) + (Price of Figs * Quantity of Figs)

Since the price per hamburger is $3 and the price per bag of figs is $2, the equation becomes:

Budget = 3x + 2y

Where x represents the quantity of hamburgers and y represents the quantity of bags of figs. The graph of the budget line would have hamburgers on the x-axis and bags of figs on the y-axis.

b) If the price of figs increases to $3, the new budget line equation becomes:

Budget = 3x + 3y

The graph of the new budget line would show a steeper slope compared to the original budget line. This indicates that the relative price of figs has increased, making them relatively more expensive compared to hamburgers.

c) In this scenario, Rachel has an income of $50, the price per hamburger is $3, the price per bag of figs is $3, and she receives an additional $10 in cash from a friend. The new budget line equation can be written as:

Budget = (3x + 3y) + 10

The graph of the new budget line would shift upward parallel to the original budget line. The additional cash from Rachel's friend increases her purchasing power, allowing her to afford more hamburgers and/or bags of figs.

d) Now, Rachel's friend gives her a gift basket containing 3 free bags of figs. In this case, the budget line equation remains the same as in part c:

Budget = (3x + 3y) + 10

However, since Rachel receives 3 free bags of figs, she can allocate more of her budget towards purchasing hamburgers. This would cause the budget line to rotate outward from the y-intercept, resulting in a flatter slope. The new budget line would reflect Rachel's ability to purchase more hamburgers with the same income and price of figs.

In summary, the budget line equation represents Rachel's affordability based on her income and the prices of hamburgers and figs. Changes in prices, income, or additional resources can affect the slope, position, or rotation of the budget line on a graph.

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The term "resilience" encompasses the psychological processes and traits that enable individuals to deal with traumas and recover their healthy and effective functioning.

To understand resilience more deeply, let's consider a mathematical analogy.

Just as mathematical equations can be adjusted or modified to solve different problems, individuals need to adapt their coping mechanisms to match the specific demands of a trauma. Being adaptable allows people to assess the situation, identify necessary adjustments, and find effective strategies for recovery.

Resilience is not solely about returning to a pre-trauma state but also involves personal growth and transformation. In mathematics, this growth can be compared to solving a complex problem that requires expanding one's knowledge and skills.

It's important to note that resilience is not a fixed trait, but rather a dynamic process that can be developed and strengthened over time. Just as mathematical skills can be improved through practice and learning, individuals can cultivate resilience through various interventions, such as therapy, support groups, self-care practices, and building healthy relationships.

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The compound Inequality for the given graph is; -2 < x ≤ 6

The graph in the attached file shows conjunction. This means that the two statements of the inequality are equally true at the same time. Therefore, it follows that:

x > -2 ("we use greater than sign" because the empty/unshaded circle indicates that -2 is not included)

The second inequality will be;

x ≤ 6 (we use greater than or equal to sign because the shaded circle indicates 6 is included)

Joining both statements together, we would have the compound inequality written as:

-2 < x ≤ 6

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Step-by-step explanation:

i don't know sorry i didnt understand