Determine whether -FG is tangent to ®E . Justify your answer.

To prove triangles ACB and ECD to be congruent using SAA we need

A. Both ∠B and ∠D need to be congruent and ∠A and ∠E need to be congruent.

As given in the question,

In the triangle ACB and ECD,

Given : AC ≅ EC

            ∠ACB ≅∠ECD

To prove triangles to be congruent using SAA.

Two angles need to be congruent.

∠B ≅ ∠D

∠A ≅ ∠E

Therefore, to prove triangles ACB and ECD to be congruent using SAA we need

A. Both ∠B and ∠D need to be congruent and ∠A and ∠E need to be congruent.

Learn more about triangles here

brainly.com/question/2773823

#SPJ1

Answer:

-6, -5, -5.9, -1, 0, 1, 5, 5.9, 6, 6.1, 7, 11

Step-by-step explanation:

Its basically saying that all values of x must be greater than or equal to -6. So, we can substitute -6, -5, -5.9, -1, 0, 1, 5, 5.9, 6, 6.1, 7, 11

-6.1, -7, and -11, is wrong because it is less than -6,

hope this helped

Answer:

-12

i hope this helps;/

Answer:

The answer is -12.

Step-by-step explanation:

Basically when it says, "when h = -1 ", we need to substitute t for -1.

So, here's what the equation would look like now,

h(-1) = (-1 + 7) (-1 - 1)

= (6)(-2)

= -12

So, our answer is -12.

Hope this helps!

The tables 2, 3 and 4 represent linear equations. (Correct choice: D)

Algebraically speaking, linear functions are represented by a expression of the form y = m · x + b, where m is the slope of the function and b is the y-intercept of the line. Slope can be interpretated in accordance with the secant line formula:

m = Δy / Δ x

Where:

In other words, a table represents a linear function if for all difference between two consecutive values in x means the same change for two corresponding values in f(x).

After a quick inspection, we find that tables 2, 3 and 4 represent linear as they show the following features:

Table 2: Δx = 1, Δy = 3, Table 3: Δx = 1, Δy = 4, Table 4: Δx = 1, Δy = 2

To learn more on linear equations: https://brainly.com/question/13738061

#SPJ1

Answer: a. h=3V/(πr^2)

b. h=27 inches

Step-by-step explanation:

a. V=1/3 π r^2 h

V*3=3*1/3 π r^2 h

3V=3/3 π r^2 h

3V=π r^2 h

3V/π=π/π r^2 h

3V/π=r^2 h

h=3V/(πr^2)

b. h=3(1017.36)/(3.14(6^2))

h=3052.08/(3.14(36))

h=3052.08/(3.14(36))

h=3052.08/113.04

h=27 inches

The answer would be: B. No, the slope of the line perpendicular to the line 3x + 2y = –11 should be 2/3.

The equation in slope-intercept form of a line is, y = mx + b, where we have the slope value as m. If two lines are perpendicular, the value of their slope (m) will be negative reciprocals to each other.

Rewriting the equation, 3x + 2y = -11 in slope-intercept form, we would have:

2y = -3x - 11

y = -3/2x - 11/2

The slope (m) is, -3/2. The negative reciprocal is, 2/3.

Therefore, the slope of the line that is perpendicular to the given line would be: 2/3.

Thus, the answer would be: B. No, the slope of the line perpendicular to the line 3x + 2y = –11 should be 2/3.

Learn more about the slope of perpendicular lines on:

https://brainly.com/question/1362601

#SPJ1

Answer:

b. No, the slope of the line perpendicular to the line 3x+ 2y = –11 should be .

Step-by-step explanation:

its right on edge

Answer:

Step-by-step explanation:

Givens

Let the height = x

Let the base = 2*x +6

Let the area = 88 square feet.

Formula

A = Base * height / 2

Solution

88 = (2x + 6)*x/2                       Multiply both sides by 2

88*2 = (2x+6)*2*x/2                Combine

176 = (2x + 6)*x                        Remove the brackets

176 = 2x^2 + 6x                         Subtract 176 from both sides

0 = 2x^2 + 6x - 176                   This factors without the quadratic

0 = (2) (x^2 + 3x - 88)

0 = 2 (x +11)(x - 8)

Note: x + 11 has no meaning. Measurements of this type cannot be minus. What is - 11 feet.

x - 8 =0

x = 8

Answer

height = 8 feet

base = 2*8 + 6

base = 22

Answer:

262144

Step-by-step explanation:

8*8*8*8*8*8

64*8*8*8*8*8

512*8*8*8*8

4096*8*8*8

32,786*8

262144

The function of correct growth or decay factors are,

[tex]y = (0.3) (0.5)^{x}[/tex] is an exponential decay factor of 50%.

[tex]y = 2000(\frac{4}{5} )^{x}[/tex] is an exponential decay factor of 15%.

[tex]y = 800 (1.15)^{x}[/tex] is an not exponential decay factor related to growth factor 15%.

[tex]y = 1200 (1.05)^{x}[/tex] is an not exponential decay factor related to growth factor 5%.

[tex]y = 3(0.85)^{x}[/tex] is an exponential decay factor of 85%, then the related to  20%.

We know that,

Exponential Decaying factor is [tex]y = ab^{x}[/tex]

Where, 0<b<1

The decay rate is expressed as a percentage. We convert it to a decimal by simply reducing the percent and dividing it by 100.

Growth factor is the factor by which a quantity multiplies itself over time. Growth rate is the addend by which a quantity increases (or decreases) over time.

Here,

Option(1) : [tex]y = (0.3)(0.5)^{x}[/tex]

Then,  0.5 < 1        (0.5 means 50%)

So, [tex]y = (0.3) (0.5)^{x}[/tex] is an exponential decay factor .

Hence,  [tex]y = (0.3) (0.5)^{x}[/tex] is an exponential decay factor of 50%.

Option(2) : [tex]y = 2000(\frac{4}{5}) ^{x}[/tex]

Then,  4/5 < 1

⇒ 0.8 < 1

So, [tex]y = 2000(\frac{4}{5} )^{x}[/tex] is an exponential decay factor.

Hence, [tex]y = 2000(\frac{4}{5} )^{x}[/tex] is an exponential decay factor of 15%.

Option(3) : [tex]y = 800 (1.15)^{x}[/tex]

Then,  1.15 > 1

So, [tex]y = 800 (1.15)^{x}[/tex] is an not exponential decay factor.

Hence, [tex]y = 800 (1.15)^{x}[/tex] is an not exponential decay factor of 115%, so it is not decay factor, then the related to growth factor 15%.

Option(4) : [tex]y = 1200 (1.05)^{x}[/tex]

Then,  1.05 > 1

So, [tex]y = 1200 (1.05)^{x}[/tex] is an not exponential decay factor.

Hence, [tex]y = 1200 (1.05)^{x}[/tex] is an not exponential decay factor of 105%, so it is not decay factor, then the related to growth factor 5%.

Option(5) : [tex]y = 3(0.85)^{x}[/tex]

Then,  0.85 < 1

So, [tex]y = 3(0.85)^{x}[/tex] is an exponential decay factor.

Hence, [tex]y = 3(0.85)^{x}[/tex] is an exponential decay factor of 85%, then the related to  20%.

Therefore,

[tex]y = (0.3) (0.5)^{x}[/tex] is an exponential decay factor of 50%.

[tex]y = 2000(\frac{4}{5} )^{x}[/tex] is an exponential decay factor of 15%.

[tex]y = 800 (1.15)^{x}[/tex] is an not exponential decay factor related to growth factor 15%.

[tex]y = 1200 (1.05)^{x}[/tex] is an not exponential decay factor related to growth factor 5%.

[tex]y = 3(0.85)^{x}[/tex] is an exponential decay factor of 85%, then the related to  20%.

To learn more about growth or decay factors :

brainly.com/question/22740958

#SPJ1

Answer:

y = -x + 5

Step-by-step explanation:

slop m = -1, x = -1, y = 6

y = mx + b

6 = (-1)(-1) + b

6 = 1 + b

b = 5

so y = -x + 5

Answer:

4 5/6

Step-by-step explanation:

1/2 -> 3/6

2/3 -> 4/6

? 3/6 - ? 4/6 = ? 5/6

10 - 5 ( Take away one because you needed to do 3/6-4/6 which results in a negative number )

4 5/6

Answer:

See below

Step-by-step explanation:

See graph below

just an addition to the great reply above by jsimpson11000

Check the picture below.

Answer:

1/4 inches/hour

Step-by-step explanation:

We need inches per hour, which means inches divided by hours, so we divide the number of inches by the number of hours.

2 inches / 8 hours = 2/8 inches/hour = 1/4 inches/hour

Whole numbers are defined as a set of natural numbers plus the integer zero. There exists no fractions, decimals, or negative integers in whole numbers, which are actual numbers.

Whole numbers are defined as a set of natural numbers plus the integer zero. In mathematics, the set of whole numbers is denoted by the letter W and is given as 0, 1, 2, 3, etc.

Examples:

1. Learning geometry and trigonometry can help people who desire to get better at sports.

2. The ability to compute an area is useful since it will be useful when we renovate our homes and rental properties.

3. When making many purchases, we must decide which retailer gives the best price or financing.

4.People use ratios or proportions to calculate the right amount of each item when they cook.

To learn more about whole numbers, refer to:

https://brainly.com/question/572936

#SPJ4

The required average score of the class is 68.

Given that,
A class of 25 students took a science test. 10 students had an average (arithmetic mean) score of 80.
The other students had an average score of 60, which is the average score of the whole class is to be detrmined.

The average of the values is the ratio of the total sum of values to the number of values.

Here,
The average of 10 students is 80,
The average of the remaining students is 60 i.e. = 25 - 10 = 15
Now an average of the class,
Average = 80 * 10 + 15 * 60 / 25
              = 1700 / 25
              = 68

Thus, the required average score of the class is 68.

Learn more about average here:

brainly.com/question/24057012

#SPJ1

Answer:

(x;y)=(24;10)

y = 1/6 * x + 6; y = 1/3 * x + 2

Substitute the given value of y into the equation y = 1/3 * x + 2

1/6 * x + 6 = 1/3 * x + 2

Solve the equation for x

x = 24

Substitute the given value of x into the equation y = 1/3 * x + 2

y = 1/3 * 24 + 2

Solve the equation for y

y = 10

The average of 4 numbers a, b, c, d is equal to the sum of the numbers divided by 4 is (a + b + c + d) / 4

From the information, the average of 4 numbers a, b, c, d is equal to the sum of the numbers divided by 4.

It should be noted that this can be illustrated as:

(a + b + c + d) / 4

It should be noted that average simply means the addition of the numbers and then dividing them.

Learn more about average on:

brainly.com/question/26215194

#SPJ1

The slope of the line is the ratio of the rise to the run, or rise divided by the run.

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction. [1] The letter m is frequently used to represent slope; the reason for this usage is unclear, although it can be found in O'Brien's (1844)[2] and Todhunter's (1888)[3] formulations of the equation for a straight line as "y = mx + b" and "y = mx + c," respectively.

According to the given statements;

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane. Calculating the slope of a line is similar to finding the slope between two different points.

To know more about Slope, visit;

https://brainly.com/question/3605446

#SPJ9

The value of the expression 3(2 a+5)+2(3-a) at a=4 is 37 .

An Algebraic expression is defined as an expression that consists of variables and constants linked with mathematical operators (+,-,x,÷).

According to the question

=3(2 a+5)+2(3-a)

Substituting the value a=4 in the above expression.

We get,

=3(2(4)+5)+2(3-4)

=3(8+5)+2(3-4)

Solving terms in bracket first ,

=3(13)+2(-1)

=39-2

=37

Therefore , The value of the expression 3(2 a+5)+2(3-a) at a=4 is 37 .

Learn more about Algebraic Expression here https://brainly.com/question/13863650

#SPJ4

A line that bisects or cuts an objects into two equals parts is called the axis of symmetry for that object. The axis of symmetry creates a mirror-like reflection of each side of the object.

The function f(x) = |x| is called an absolute value function. The highest or lowest point on the graph of the absolute value function is called the vertex. The absolute value graph has an axis of symmetry through the vertices.

The axis of symmetry (x=0 or y-axis) is the line that divides the graph into two congruent halves. Translate is a transformation that moves the graph horizontally or vertically, but does not change its overall shape or orientation.

So, it does not affect the axis of symmetrical. Is symmetrical about the Y axis (axis of symmetry).

More problems are given in the link below.

https://brainly.com/question/20527725?referrer=searchResults

#SPJ4

The value of the expression below when x=5x=5?

8x+9 is equal to [tex]7^{2}[/tex] (or) 49.

Substitute [tex]\left \{ {{x=5x} \atop {5x=5}} \right. into (8x+9)[/tex]

The expression,

y = 8x + 9

If the domain of the function is x = 5, hence the range of the function is gotten by substituting x = 5 into the given function as shown:

So, we can substitute x = 5,

Then, y = 8 * 5 + 9

Calculate the product or quotient,

y = 40 + 9

Calculate the sum or difference,

y = 49

We can write alternative form,

y = [tex]7^{2}[/tex]

Therefore,

Hence the value of the expressions if x = 5 is [tex]7^{2}[/tex] (or) 49.

To learn more about value of expression problems visit : brainly.com/question/26170139

#SPJ9

Answer:90

Step-by-step explanation:

the angle is perpendicular

Based on the total amount that Karen spent in one week at the Starbucks, the cost of one latte was $6.83

Karen left a tip of a dollar every day she bought a Latte so this comes to:

= 1 x 5 days

= $5

The cost of a single latte is therefore:

= (Total amount spent - Total tips) / Number of days

= (39.15 - 5) / 5

= 34.15 / 5

= $6.83

In conclusion, a single latte at the Starbucks to Karen for the weekdays was $6.83.

Find out more on solving for cost at https://brainly.com/question/10556151

#SPJ1

The equation of the circle (x + 2)^2 + (y - 10)^2 = 4 has a radius of 2 and a center located at (-2 , 10).

The standard form of the equation of  circle is given by

(x - h)^2 + (y - k)^2 = r^2

where (h , k) is the location of the center and r is the radius of the circle.

On the other hand, the general form of the equation of  circle is given by

x^2 + y^2 + Dx + Ey + F = 0

where D = -2h, E = -2k, and F = h^2 + k^2 -r^2.

If the equation of the circle, (x + 2)^2 + (y - 10)^2 = 4, is in standard form, then

h = -2

k = 10

r = 2

Learn more about equation of a circle here: https://brainly.com/question/1559324

#SPJ4

Answer: y<11

Step-by-step explanation:

y<-2x+3

y<-2(-4)+3

y<-(-8)+3

y<8+3

y<11

Answer:

algebra = 21

Step-by-step explanation:

the answer is 21

branbliest, please

According to the question, the first part has square box with two diagonal lines and two values. In a square, all the sides are equal as well as opposite diagonal values are equal.

Therefore, from the figure ABCD is a square in which AC and BD is a diagonal. So the remaining empty boxes will have (-2,6).

In the second part, using probability the arrangement of the alphabets can be done. As per question, total three alphabets are there that is A, B,D. The three alphabets can be arranged as:

Probability = 3! = 6 ways

Hence, the arrangement of alphabets can be done in 6 ways.

What is probability?

Probability defines the occurrence of the events or the outcomes of the occurred events. It is the ratio of favored outcomes to total number of occurred outcomes.

To learn more about probability from the given link:

https://brainly.com/question/24756209

#SPJ1