Find a counterexample to the following statement. Explain.

If the measure of an altitude and side of a triangle are proportional to the corresponding altitude and corresponding side of another triangle, then the triangles are similar.

Answer: 84%

Step-by-step explanation:

The percentage increase is 160%

Formal of percentage= \(new value-old value/old value*100\)

new value: $221

old value: $85

percentage =    \(new value-old value/old value*100\)

                   = 221-85/85*100

                   =136/85*100

                    =1.6*100

                    =160%

The percentage increase is 160%

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Answer:

(3x^3)(8x + 1)

= (3x^3)(8x) + (3x^3)(1)

= 24x^4 + 3x^3

= 3x^3(8x + 1) + 24x^2 - 24x^2 + 3x^3

= 3x^3(8x + 1) - 24x^2 + 3x^3

= 24x^4 - 24x^2 + 3x^3

= 3x^3 + (-24x^2 + 24x^4)

Step-by-step explanation:

Answer:

i couldnt type it out so heres an iamge

Step-by-step explanation:

Answer:

4−2x<−3

Step-by-step explanation:

check:

now --- 4°

after 1 hr --- 2°

after 2 hrs--- 0°

after 3 hrs--- -2°

after 4 hrs--- -4°

so between 3 and 4 hrs it will reach -3°

4-2x < -3

-2x < -7

x > 3 1/2

Answer:

y = 8.7

Step-by-step explanation:

Assuming we can use decimal places, y is equal to 8.7.

In programming, += is often used as a substitute for y = y + x (example)

Therefore, y = y + 3.7, and since y = 5, y = 5 + 3.7, y = 8.7

The angles are 11°, 42° and 35°.

Given are circles, we need to find the missing angles,

1) ∠1 = 1/2 [119° - (360° - (119°+174°)]

= 1/2 [119° - 97°]

∠1 = 11°

2) ∠1 = 1/2[360°-138°-138°]

∠1 = 1/2 x 84

∠1 = 42°

3) ∠1 = 1/2[111°-360°-(111°+104°+104°)]

∠1 = 1/2 x 70

∠1 = 35°

Hence the angles are 11°, 42° and 35°.

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Answer: 2 red balloons and 4 white balloons in each bunch

Step-by-step explanation:

divide 16/8 = 2 balloons in each bunch

divide 32/8 = 4 balloons in each bunch

Answer:

8000 is the right answer 100%

Answer:

Yes

Step-by-step explanation:

Yes, the question asks for an average not the rainfall on one specific day, therefore it is a statistical question.

(accidentally answered as a comment)

Answer:

\(\sf 9.6\:hours \:\: or \:\: 576\: minutes\)

Explanation:

\(\sf Time \ taken : \dfrac{Distance}{Speed}\)

Here given:

Applying formula,

\(\sf Time \ Taken = \dfrac{48}{5} = 9.6 \ hours = 576 \ minutes\)

Answer: There are 24 ways.

Step-by-step explanation:

All the numbers are divisible by 11, so divide all the numbers by 11 to make the problem simpler: Jo climbs a flight of 6 stairs. Jo can take the stairs 1, 2, or 3 at a time.

A recursive approach can now solve this problem. The number of ways to climb one stair is 1. There are two ways to climb 2 stairs: (1, 1) or (2). For 3 stairs, there are 4 ways: (1, 1, 1), (1, 2), (2, 1), and (3). Extending this pattern, there are 1+2+4 = 7 ways to climb up 4 stairs, 2+4+7 = 13 ways to climb up 5 stairs, and 4+7+13 = 24 ways to get up 6 stairs.  

The total number of ways by which Jo climbs the stairs at school when he can take the stairs 1, 2, or 3 at a time.

Arrangement of the things or object is mean to make the group of them in a systematic order, in all the possible ways. The number of possible ways to arrange is n!.

Here, n is the number of objects.

Every day at school, Jo climbs a flight of 6 stairs.  Jo can take the stairs 1, 2, or 3 at a time. For example, Jo could climb 3, then 1, then 2.

With one stair, there is one way to climb. With two stairs, the ways to climb are two 1-1 at a time or 2 at a time. For the three stair, there are 4 ways,

\(1+1+1,1+2,2+1,3\)

For the three stair, there are 7 possibilities he can climb the stair.

\(1+1+1+1,\;1+1+2,\;1+2+1,\;2+2\;,2+1+1\;1+3.\;3+1\)

In the same way for the 5 the stair there are 6 additional steps add in it, which makes it 13.

For the six stair for single step, we have 13 ways, for double step we have 7 ways and for triple step we have 4 ways. Thus,

\(\rm Number\; of \; ways=13+7+4\\\rm Number\; of \; ways=24\)

Thus, the total number of ways by which Jo climbs the stairs at school when he can take the stairs 1, 2, or 3 at a time.

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The double exponential smoothing is an additive method. It is used to model trend and level components for the univariate times series data. So, option(d) is right one.

Additive relationships mean that you add the same number to any value of x to get the corresponding value of y, and are written as y = x + a. The basic idea behind double exponential smoothing is to introduce a term that accounts for the possibility that the series exhibits some form of trend. This slope component updates itself using exponential smoothing. ) is the trend smoothing factor. Double exponential smoothing is generally greater reliable for handling data that represents the trends compared to the single procedure. Double exponential smoothing with a linear trend. It therefore follows an additive trend (Holt's linear trend model). Therefore, option (d) is the correct choice.

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Complete question :

double exponential smoothing is a(n) method. multiple choice question.

a)subtractive

b)multiplicative

c)divisive

d)additive

Answer:

AB is chord

GF is tangent

DE is diameter

HJ is secant

C is center of the circle

DC is radius

K is point of tangency

AB is arc

Step-by-step explanation:

Answer:

PQ = 98.21

Step-by-step explanation:

PQ/23 = 47/11

PQ × 11

23 × 47

11PQ = 1081

11PQ/11 = 1081/11

PQ = 98.21

The angles formed by the angle bisector BF are ∠FBA and ∠FBC.

The step in which the mistake was made is step 3; Then, she placed the compass on point C and drew an arc on the interior of ∠ABC which intersects the previous arc.

Reasons:

The steps to draw an angle bisector are;

Place the compass at the vertex of the angle and draw an arc intersecting the the two rays forming the angle at points D and E

Place the compass at point D and draw an interior arc to the given angle

Place the compass at point E and draw a second interior arc intersecting the previous arc

The point of intersection of the two arcs can be labelled F and joined to the vertex of the given angle to complete the angle bisection

Therefore, the step in which the mistake was made is; Step 3 where the compass is placed at point C rather than point E to draw the second arc of the angle bisector

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Answer:

Step three

Step-by-step explanation:

she placed the point on C when it was supposed to be on E

Answer:

ab+5a+3b+15

Step-by-step explanation:

(a+3)(b+5)

a(b+5)+3(b+5)

ab+5a+3b+15

Answer:

12x plus 9x

Step-by-step explanation:

Answer:

Step-by-step explanation:

3:3:2 = 3x +2x +3x = 8x

112 = 8x

x = 14

alex = 3x = 3(14) = 42

sara = alex = 42

henry = 2x = 28

The difference between F(8) and F(2) is 12

What are Functions?

A function is an expression, rule, or law in mathematics that describes a connection between one variable (the independent variable) and another variable (the dependent variable).

Solution:

Given: Function of Warming Room = F(m) = 2m + 58

To Find: F(8) - F(2)

F(8) = 2*8 + 58 = 16+58 = 74

F(2) = 2*2 + 58 = 4+58 = 62

F(8) - F(2) = 74 - 62 = 12

The difference between F(8) and F(2) is 12

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Answer:

He should have said that his small brother had 100 small building bricks, but lost 5 in total now.

The graph of line a and line b is shown in the image attached below. The lines do not intersect each other.

To check if both lines intersect, we need to graph the system of equations. First, use the points given to write out the equations.

Line a:

Slope (m) = change in y / change in x = 6 - 4 / 8 - 0 = 2/8

m = 1/4

Find the y-intercept (b) by substituting m = 1/4, x = 0 and y = 4 into y = mx + b:

4 = 1/4(0) + b

b = 4

The equation of line a is: y = 1/4x + 4.

Line b:

Slope (m) = change in y / change in x = 1 - (-2) / 8 - 0

m = 3/8

Find the y-intercept (b) by substituting m = 3/8, x = 0 and y = -2 into y = mx + b:

-2 = 3/8(0) + b

b = -2

The equation of line b is: y = 3/8x - 2.

Both lines are graphed in the image attached below. Line a is the red line and line b is the red line. They do not intersect at any point.

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Answer:

Step-by-step explanation:

so by the power of a power rule we know that when you raise a power to another power you have to multiply the powers.

so i my oponion it would be 3 to the 10th* -2/15*-1= 10 times 2/15*-2

which in my oponion should be 3 to the negative 4/15

The result of (f - g)(x) is 3x^2 - 2x - 1. There are no domain restrictions for this operation.

To compute (f - g)(x), we subtract the function g(x) from f(x).

Distributing the negative sign to g(x) yields -2x^2 - x + 2. Combining like terms with f(x) = 5x^2 - 3x + 1, we subtract the corresponding coefficients.

The resulting expression is (f - g)(x) = (5x^2 - 2x^2) + (-3x - (-x)) + (1 - 2) = 3x^2 - 2x - 1.

There are no domain restrictions for this operation, as both f(x) and g(x) are defined for all real numbers.

The resulting function represents the difference between f(x) and g(x) and can be used to analyze the behavior of the two functions when subtracted from each other.

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Answer:

\(x>-\frac{5}{2}\)

Step-by-step explanation:

Represent as equation: \(3x+6>\frac{3}{5}x\)

Steps to solve:

The relationship between the angle of elevation and the angle of depression between two points is that they are alternate interior angles and are equal when measured from the same horizontal line.

The angle of elevation and the angle of depression are related to each other as follows. The angle of elevation is the angle between the horizontal line and the line of sight when an observer is looking upwards to an object. The angle of depression is the angle between the horizontal line and the line of sight when an observer is looking downwards to an object.

The two angles are complementary, which means that they add up to 90 degrees. This is because the horizontal line and the line of sight form a right angle.

So, if the angle of elevation is x degrees, then the angle of depression is (90 - x) degrees, and vice versa.

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Placing the letters on the number line (with 0 on the left and 1 on the right): 0 1  

a. b. c.

|---|--------------|-------|------------------|---|

0% 1% 50% 70% 100%

what is probability?

Probability is a measure of the likelihood that an event will occur. It is expressed as a number between 0 and 1, with 0 indicating that an event is impossible and 1 indicating that an event is certain.

a. The probability of the next baby born at a local hospital being a boy is approximately 0.5 or 1/2.

Fraction: 1/2

Decimal: 0.5

Percent: 50%

b. The probability of your neighbors getting a pet dinosaur is very low, as dinosaurs are extinct and not suitable as pets. Assuming this is a hypothetical scenario, the probability can still be estimated as extremely low, perhaps less than 0.01 or 1/100.

Fraction: 1/100

Decimal: 0.01

Percent: 1%

c. The probability of having a test in one of your classes this month depends on the number of classes you are taking and the frequency of tests in each class. Assuming you are taking multiple classes and tests are given regularly, the probability could be estimated as moderate, perhaps around 0.7 or 7/10.

Fraction: 7/10

Decimal: 0.7

Percent: 70%

Placing the letters on the number line (with 0 on the left and 1 on the right):

0 1

a. b. c.

|---|--------------|-------|------------------|---|

0% 1% 50% 70% 100%

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Answer:

x=56/66

Step-by-step explanation:

In angle relationships in circles, the similarity that angle measures and their intercepted arcs share in their relationships is that they are proportional, i.e., the sum of the angle measures will always equal the measure of the intercepted arc.

The similar aspect about all the relationships between angle measures and their intercepted arcs can be observed in the following cases:
1. Central angle: The measure of a central angle is equal to the measure of its intercepted arc.

2. Inscribed angle: The measure of an inscribed angle is half the measure of its intercepted arc.

3. Tangent-chord angle: The measure of an angle formed by a tangent and a chord is half the difference of the intercepted arcs on the circle.

4. Chord-chord angle (interior angle): The measure of an angle formed by two intersecting chords is half the sum of the measures of the intercepted arcs.

In all these relationships, the angle measures are consistently related to the intercepted arcs, making it the similar aspect in angle relationships in circles.

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