Find the measure of angle B
A.15
B.96
C.84

The given values into the equation AE = 2a + 10. Therefore, The value of AE is 3 - x.

To find the value of AE, we can substitute the given values into the equation AE = 2a + 10.

Given:

AB = 10

AE = 2a + 10

ED = x + 3

CD = 4

Since AB is a segment on the line, it can be divided into AE and ED. Therefore, AB = AE + ED.

We know that AB = 10 and CD = 4. So, if we subtract CD from AB, we get AE + ED = 10 - 4.

AE + ED = 6.

Now, we can substitute the value of ED, which is x + 3, into the equation: AE + x + 3 = 6.

To find the value of AE, we need to isolate it on one side of the equation. Let's subtract x and 3 from both sides:

AE = 6 - x - 3.

Simplifying further, we get;

AE = 3 - x.

Therefore, the value of AE is 3 - x.

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Answer:

A) The reasonable domain is limited to positive whole numbers.

Step-by-step explanation:

got it right

Answer:

1/12

Step-by-step explanation:

The value of x in the triangle in part 1 and part 2 are 4 units and 15° respectively

Part 1 (47.)

Given: the triangle JKL

The ΔMJK has two equal sides and angles (isosceles) i.e. <K = <J and MJ = MK

Since MJ = x+1. Thus,  MK = x+1

ΔLMK is an equilateral triangle because all three angles are equal. Thus, all three sides will also be equal. This implies <L = <M = <K.

Also, MK = MK = LK. Since ML = 5. Thus, MK = 5

Equate the two values of MK:

MK = x+1

MK = 5

Thus,

x+1 = 5

x = 5 - 1

x = 4

Therefore, the value of x is 4 units

Part 2 (46.)

Given: the triangle ABC with equal sides of 9 units.

Since the triangle has equal sides, it will also have equal angles (i.e. it is an equilateral triangle).

Thus, <A = <B = < C =  4x°

Since the sum of angles in a triangle is 180°. We have:

<A + <B + < C = 180°

4x + 4x + 4x = 180°

12x = 180

x = 180/12

x = 15°

Therefore, the value of x is 15°

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Answer:

mmmmmmm

Step-by-step explanation:

n

Daisy will cover a total area of 647.625 square feet, if she uses all of the bags of mulch.

The amount of mulch is given as:

\(Bag = 2\frac 34\)

The area covered by each bag is given as:

\(Area = 235.5ft^2\)

If she uses all bags, the total area covered by the bags is:

\(Total = Bag \times Area\)

So, we have:

\(Total = 2\frac 34 \times 235.5ft^2\)

Rewrite the fraction as an improper fraction

\(Total = \frac {11}4 \times 235.5ft^2\)

This gives

\(Total = \frac {2590.5}4 ft^2\)

\(Total = 647.625 ft^2\)

Hence, she will be able to cover a total area of 647.625 square feet

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Answer:

  40 in

Step-by-step explanation:

The Pythagorean theorem tells you the relationship between the sides of a right triangle.

  b^2 +75^2 = 85^2

  b^2 = 85^2 -75^2 = 1600

  b = √1600 = 40

The length of the missing side is 40 inches.

1. The percentage of maize flour is given as 16.7 %

2. The common ratio of the GP is r = 1.5.

1. We have to set up equation

60x + 90(1 - x) = 85

60x + 90 - 90x = 85

now we have to solve for the value of x

-30x = -5

x = 5 / 30

x = 0.167

Hence percentage of maize flour is given as 16.7 %

2. a + ar = 20 (1)

ar + ar^2 = 30 (2)

We can rearrange equation (1) to get an expression for a:

a = 20 / (1 + r)

Now, we can substitute a into equation (2) to get an equation only in terms of r:

\(20r / (1 + r) + 20r^2 / (1 + r) = 30\\20r + 20r^2 = 30(1 + r)\\20r + 20r^2 = 30 + 30r\\20r^2 - 10r - 30 = 0\\2r^2 - r - 3 = 0\)

Solving this quadratic equation, we get:

We have two solutions, r = 1.5 and r = -1. But since the GP is increasing, we discard the negative solution. Therefore, the common ratio of the GP is r = 1.5.

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Answer:

x=2

y=1.732

Step-by-step explanation:

we use the formulae.....

SOHCAHTOA

where..Cos 60°=1/x

cos60=0.5

0.5=1/1

X=2

0.8660=y/2

y= 1.732

Answer: 26

Step-by-step explanation: values are between 15 and 20, whereas 26 is far above the rest of the values

Answer:

$37,940

Step-by-step explanation:

1. Divide $135,500 by 25%= $33,875

2. Divide $135,500 by 3%= $4065

3. Add both quotients

$33,875 + $4065

= $37940

Melinda and her husband will need $37,940 for the down payment and closing cost.

Answer:

YES

Step-by-step explanation:

4(Z-3)=16

4Z-12=16

  +12 +12

4Z=28

Z=7

Answer:7

Step-by-step explanation:

4(z-3)=16

4z-12=16

4z=28

4z/4=28/4

z =7

The measure of the complement of a 1-degree angle is 89 degrees.

The complement of an angle is defined as the angle that, when added to the given angle, results in a sum of 90 degrees. To find the measure of the complement of a 1-degree angle, we need to determine the angle that, when added to 1 degree, equals 90 degrees.

Let's denote the measure of the complement as x degrees. According to the definition, we can set up the equation:

1 degree + x degrees = 90 degrees.

To solve for x, we need to isolate it on one side of the equation. By subtracting 1 degree from both sides, we have:

x degrees = 90 degrees - 1 degree.

Simplifying the right side, we get:

x degrees = 89 degrees.

In summary, when an angle measures 1 degree, its complement measures 89 degrees. Complementary angles are pairs of angles that add up to 90 degrees. In this case, since the given angle measures only 1 degree, its complement is significantly larger, nearly forming a right angle. The concept of complementary angles is fundamental in geometry and can be applied to various problems involving angles and their relationships.

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Answer:

-40

Step-by-step explanation:

-40+12=-28

-28/4

=-7

The sum of integers from 33 to 47 is 600.

So, the sum of integers:

Simply perform addition as follows:

Therefore, the sum of integers from 33 to 47 is 600.

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Answer: its 21

Step-by-step explanation:

the sequence goes up by 1 each time

Answer:

21

Step-by-step explanation:

a1=1

a2=a1+2

a3=a2+3

a4=a3+4

...

a(n)=a(n-1)+n

The limit of each function at the given point i n the question 10 to 14, is explained below.

A function may get close to two distinct limits. There are two scenarios: one in which the variable approaches its limit by values larger than the limit, and the other by values smaller than the limit. Although the right- and left-hand limits are present in this scenario, the limit is not defined.

When a variable approaches its limit from the right, the function's right-hand limit is the value that approaches.a

10). The limit of f(z) = Arg z as z approaches Zo = 1 does not exist. This is because the argument function is not continuous at the point z = 1, where there is a branch cut.

11). The limit of f(z) = \((1 - lm z)^{-1}\) as z approaches z0 = -8 does not exist. This is because the function approaches infinity as z approaches -8 from the left, and negative infinity as z approaches -8 from the right.

However, if we consider the limit of f(z) as z approaches z0 = -8 + i from both the left and the right, the limit exists and is equal to 0. This is because in the complex plane, the value of Im z cannot exceed 1, so as z approaches -8 + i, the denominator (1 - Im z) approaches 0, and the function approaches infinity. However, the numerator approaches a finite value of 1, which cancels out the denominator, and the overall limit is equal to 0.

12). The limit of f(z) = (z - 2) log(z - 2) as z approaches z0 = 2 is 0. This is because the term (z - 2) approaches 0 as z approaches 2, and log(z - 2) approaches 0 as well because log(z - 2) is continuous at z = 2. Therefore, the limit is equal to 0.

13). The limit of f(z) = -1/z as z approaches z0 = 0 does not exist. This is because as z approaches 0, the magnitude of 1/z approaches infinity, but the direction of approach depends on which quadrant the limit is approached from. Since the limit does not approach a unique value from all directions, the limit does not exist.

14). The limit of f(z) = 2 + \(2^{1/z}\) as z approaches infinity does not exist. This is because as z approaches infinity, the term  \(2^{1/z}\) approaches 1, and the limit approaches 2 + 1 = 3. However, if we approach infinity along the real axis, the limit of \(2^{1/z}\) approaches 1, but if we approach infinity along the imaginary axis, the limit of \(2^{1/z}\) approaches infinity. Therefore, the limit of f(z) does not exist.

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Answer:

S = {(3,p), (3,0), (4,q), (1,4)} is a set of ordered pairs, where the first element of each ordered pair is an integer and the second element is a variable. The set consists of four ordered pairs:

(3,p): The first element is 3 and the second element is p.

(3,0): The first element is 3 and the second element is 0.

(4,q): The first element is 4 and the second element is q.

(1,4): The first element is 1 and the second element is 4.

The ratio of EG = 36.

Let's assign variables to the lengths of the line segments:

EF = x

FG = 5x

GH = 3x

We know that EH = EF + FG + GH.

Substituting the given values, we have:

54 = x + 5x + 3x

Combining like terms, we get:

54 = 9x

To isolate x, we divide both sides of the equation by 9:

54/9 = x

Simplifying, we find:

6 = x

EF = 6, FG = 5(6) = 30, and GH = 3(6) = 18.

Since EG is the sum of EF and FG, we can calculate it as follows:

EG = EF + FG = 6 + 30

= 36

EG = 36.

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Answer:

60%

Step-by-step explanation:

To find percent error, use the following equation:

Percent error = \(\frac{prediction-actual}{actual}\)×100

=\(\frac{16-10}{10}\)

=\(\frac{6}{10}\)×100

=0.6×100

Drake's percent error is 60%.

Answer:

\( \dfrac{2}{x} - 9\)

Step-by-step explanation:

the quotient of 2 and x:

\( \dfrac{2}{x} \)

9 less than the quotient of 2 and x:

\( \dfrac{2}{x} - 9\)

This year, the number of raffle tickets sold for a school's extracurricular activities fundraiser is 848. It is estimated that the number of raffle tickets sold will increase by 5% each year.

The total number of raffle tickets sold at the end of 9 years is approximately 9,818.  

To find the total number of raffle tickets sold at the end of 9 years, we need to calculate the number of tickets sold each year and sum them up.

Starting with the initial number of tickets sold, which is 848, we will increase this number by 5% each year for a total of 9 years.

Year 1: 848 + (5% of 848) = 848 + 42.4 = 890.4

Year 2: 890.4 + (5% of 890.4) = 890.4 + 44.52 = 934.92

Year 3: 934.92 + (5% of 934.92) = 934.92 + 46.746 = 981.666

Year 9: Ticket sales at the end of 9 years = Number of tickets sold in Year 8 + (5% of Year 8 sales)

Year 9: Total = 1,399.585 + 69.97925 = 1,469.56425 ≈ 1,469.56

The total number of raffle tickets sold at the end of 9 years is approximately 1,469.56.

The correct option is 9,818.

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The probability of getting both girls have had measles is 9/2860

Probability:

Probability refer the possible way of occurring the particular outcome.

It can be calculated by dividing the favorable outcome by the total number of outcome.

Given,

In a group of children from primary school there are 18 girls and 15 boys. Of the girls, 9 have had measles. Of the boys, 6 have had measles.

Here we need to find the probability of getting both  girls have had measles if we randomly choose two person from the group of 18 girls.

Here first we have to find the combination in the 9 measles in 18 girls is calculated as,

=> 18C9 = 18!/9! (18 - 9)!

When we simplify it then we get the number of combinations is

=> 48620

Now, getting the combination of selecting 2 persons from 18 is calculated as,

=> 18C2 = 18!/2! (18 - 2)!

When we simplify it then we get the number of combinations is

=> 153

Therefore, the probability of getting  both this girls have had measles is

=> 153/48620

To reduce our fraction by dividing both numerator and denominator by it. GCF = 17, and getting our simplified answer:

=> 9/2860.

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B - 32.5%

Total number of people who took the survey =5+8+10+4+4+3+2+1+2+0+1

= 40

Number of people who spent 5 hours or more on social media

= 4+3+2+1+2+1

= 13

Percentage = 13/40 × 100%

= 32.5%

Answer:

21.15

Step-by-step explanation:

700 + 5 = 705

3% of 705 = 21.15

The number of pork sliders sold is given as follows:

24 pork sliders.

The number of pork sliders sold is obtained applying the proportions in the context of the problem.

The total number of pork sliders is given as follows:

120 pork sliders.

The percentage of pork sliders sold is given as follows:

20%. (proportion of 0.2).

Hence the amount sold is given as follows:

0.2 x 120 = 24 pork sliders.

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Answer:

\(x = 18\)

Step-by-step explanation:

Vertically Opposite Angles are equal..

so,

\(x + 54 = 4x \\ 54 = 4x - x \\ 54 = 3x \\ \frac{54}{3} = \frac{3x}{3} \\ 18 = x\)

Answer:

\(x + 54 \: and \: 4x \: are \: opposite \: so \\ x + 54 = 4x \\ x \: terms \: togather \\ 4x - x = 54 \\ 3x = 54 \\ x = \frac{54}{3} \\x = 18 \\ thank \: you\)