Lines Line A E and Line G H are parallel in the image below. The image will be used to prove that the sum of the measures of the interior angles of Triangle C G H is 180°. Lines A E and G H are parallel. Angles F and C are congruent. Which statement would be included in a proof of why Measure of angle C + measure of angle G + measure of angle H = 180 degrees.? Angles F and H are congruent. Angles C and E are congruent. Angles A and G are congruent. Angles F and C are congruent.

To estimate the perimeter, we use the given information of the width of the rectangle, which is 1.25 cm. Assuming the lengths are similar, we estimate them to be 1.25 cm as well. Using these measurements, we calculate the perimeter of the figure to be approximately 5 cm.

To estimate the perimeter of the figure, we need to determine the measurements. The given information states that the rectangle is at least 1.0 cm wide but not 2.0 cm wide. Using the tick marks on the ruler, we can estimate the width to be 1.25 cm. Since the perimeter of a rectangle is the sum of all its sides, we find the perimeter by multiplying the width by 2 and adding it to the sum of the two lengths. However, we don't have information about the lengths, so we can't find the exact perimeter, but we can estimate it based on the width. Assuming the lengths are similar, we can use the estimated width of 1.25 cm to estimate the lengths as well.

To estimate the lengths, we can assume that each length is greater than the width. Let's assume the lengths are also 1.25 cm. The perimeter can then be estimated by multiplying the width by 2 and adding it to the sum of the two lengths: (1.25 cm * 2) + (1.25 cm + 1.25 cm) = 2.5 cm + 2.5 cm = 5 cm. Therefore, we estimate the perimeter of the figure to be approximately 5 cm.

The estimated perimeter of the pentagon is 19 units.

To estimate the perimeter of the given pentagon, we need to find the length of each side and add them together. The pentagon has a base of four units and the other sides are three units each.

To find the perimeter, we add the lengths of all the sides. In this case, the base has a length of four units, and there are five sides of three units each.

Calculating the perimeter:
4 + 3 + 3 + 3 + 3 + 3 = 19 units

Therefore, the estimated perimeter of the pentagon is 19 units.

Answer:

X = -12.54 (I am a Math Class Topper in both 6th Grade an 7th Grade)

Step-by-step explanation:

5 x .27 = 1.35

8x - (3 x .27) = .81

1.35 + 8x - .81 = 7x - 12

        - 7x           - 7x

----------------------------------

1.35 + X - .81 = -12

              + .81 +.81

---------------------------

1.35 + X = -11.19

-1.35         -1.35

-----------------------

X = -12.54

Answer:

Rotation, then translation

Step-by-step explanation:

At first, the triangle MNQ rotates around the point center Q 180° counter clockwise without change the distance among the three points so it does change the shape the the object.

Then,  we apply translation towards right so that it will became ΔPQN without resizing or rotating the object.

Hence,  transformation(s) can map MNQ onto PQN are Rotation, then translation

Answer:

7 birds

Step-by-step explanation:

Let b = number of birds

c = number of cats

We know there were 13 birds and cats

b+c =13

It is $2 per bird and $5 per cat for a total of $44

2b+5c =44

 Solve b+c =13 for c by subtracting b from each side

c = 13-b

Now we can substitute this into the second equation

2b+5c =44

2b + 5(13-b) =44

Now distribute

2b+65 -5b = 44

Combine like terms

-3b +65 =44

Subtract 65 from each side

-3b +65-65 =44-65

-3b = -21

Divide each side by -3

-3b/-3 = -21/-3

b=7

There were 7 birds

We could also find the number of cats

c =13-7

c =6

Answer:

7 birds

Step-by-step explanation:

No. of birds: x

No. of cats: y

2x + 5y = 44

x + y = 13

x = 13 - y

2(13 - y) + 5y = 44

26 - 2y + 5y = 44

3y = 18

y = 6

x = 13 - 6

x = 7

Answer: all real numbers expect ZERO

Step-by-step explanation:

Answer:

Step-by-step explanation:

hello :

look this solution :

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Sum the frequency column to find the total number of students

total = 2 + 9 + 5 + 5 + 3 = 24

number of students finished in less than 20 mins = 2 + 9 + 5 = 16

fraction of students = [tex]\frac{16}{24}[/tex] = [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Putting value of x

(8)2 + 3(8)

64 + 24

= 88

Answer:

The answer is 88

Step-by-step explanation:

since x=8

x^2= 64

3x=3×8

=24

x^2+3x= 64+24

=88

Answer:

16 miles

Step-by-step explanation:

The graph is counting by 2, and there are 8 spaces between the Grocery store and the post office.  8(2) = 16

Answer: 16

Step-by-step explanation:

Lynn starts with 14.3 gallons in her gas tank.

Subtraction is a mathematical operation that deducts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

She put 3 7/8 gallons of gas in her gas tank. if there are now 18 1/6 gallons in the tank.

We have to determine the number of gallons did she start with

As per the given question, the required evaluation would be as:

Initial gallons = current gallons - put gallons

Initial gallons = 18 1/6 - 3 7/8

Convert the improper fractions into decimals,

Initial gallons = 18.167 - 3.875

Apply the subtraction operation, and we get

Initial gallons = 14.292 ≈ 14.3

Therefore, she starts with 14.3 gallons in her gas tank.

Learn more about Subtraction operations here:

brainly.com/question/25834626

#SPJ5

Answer:

No because if you are looking for a right triangle its sums have to equal to 90 degrees

Step-by-step explanation:

for example:side a; 30 inches

side B;30 in

c;30 that equals 90 so that is a right triangle

Answer:

No, it is not a right triangle.

Step-by-step explanation:

10.5, 36, and 50 do not form a right triangle.  This can be tested using the Pythagorean theorem.  

10.5^2=110.25

36^2= 1296

50^2=2500

If this was a right triangle, the 10.5 squared and 36 squared would have to equal 50 squared.  

Final answer:

To have a standard error less than 5 points, the necessary sample size must be greater than 4. The minimum sample size required is 5.

Explanation:

To calculate the sample size required, we need to use the formula for standard error:

SE = σ/√n

In this case, we want the standard error to be less than 5 points, so we have the inequality:

5 > σ/√n

Multiplying both sides by √n, we get:

5√n > σ

Since we know that the population standard deviation (σ) is 10, we can substitute that value into the inequality:

5√n > 10

Dividing both sides by 5:

√n > 2

Squaring both sides of the inequality:

n > 4

So, the sample size must be greater than 4. However, since sample size is typically an integer value, we round up to the nearest whole number. Therefore, the minimum sample size required is 5

Final answer:

To achieve a standard error of less than 5 with a population standard deviation of 10, a sample size of at least 5 is required.

Explanation:

The question deals with determining the sample size necessary for a specified standard error when the population standard deviation is known.

To find the sample size (n) necessary for a standard error of less than 5, when the population standard deviation (σ) is 10, we use the formula for the standard error of the sample mean, which is σ/sqrt(n).

To want the standard error to be less than 5, set up the inequality 10/sqrt(n) < 5, which simplifies to sqrt(n) > 2.

Solving for n, we square both sides to obtain n > 4.

Thus, we need a sample size greater than 4.

However, as sqrt(4) equals 2, the next whole number that provides a standard error less than 5 is 5.

Therefore, a sample size of at least 5 is needed.

Answer:

15000.0

Step-by-step explanation:

Answer:

Step 1:  Round to the nearest hundredth

It is already rounded to the tenth so rounded to the hundredth would just add a 0.

14991.10

Answer:  14991.10

If you meant hundreds:

14991.10

Since the tens place is greater or equal to 5, you round up the hundreds place.  This will make the thousands place go up by one.

14991.10

15000

Answer:

oh yeah thats the 3rd one

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

it is the only net that has 6 squares, and 6 squares make a cube.

Answer:

well the diameter is half of the circle so radius is half of that

the formula for that is 3.14*r

so your answer should be 50.025

Answer:

[tex]y = 1/2x + 6[/tex]

Step-by-step explanation:

Step 1:  Find the equation

[tex](y - y_1) = m(x - x_1)[/tex]

[tex](y - (5)) = 1/2(x - (-2))[/tex]

[tex]y - 5 = 1/2(x + 2)[/tex]

[tex]y - 5 + 5 = 1/2x + 1 + 5[/tex]

[tex]y = 1/2x + 6[/tex]

Answer:  [tex]y = 1/2x + 6[/tex]

Answer:

35a+55b=c

35x3=105

55x2=110

105+110=215

c=215

she rode her bike for 215 mins= 3 hours and 58 mins

Step-by-step explanation:

The answer is -1

Step-by-step explanation:

Answer: 27

Step-by-step explanation:

Answer:

1. 425,300

2. 105,000

3. 45,500

4. 35,500

5. 212.37

Answer:

OC = 16.7 cm

OAB = 332.9 cm² (1d.p)

OABD = 589.9 cm²(1d.p)

ABD = 257.1 cm²

Step-by-step explanation:

It is given that OC is 90° perpendicular to the line AB. In order to find OC, you can use Trigonmoetric formula, cosθ = adj./hypo. :

cosθ = adj./hypo.

adj. = OC cm

hypo. = 26 cm

θ = 100° ÷ 2

= 50°

cos 50 = OC/26

OC = 26 cos 50

= 16.7 cm (1d.p)

Next, is to find the area of triangle OAB using A = (1/2)×a×b×sinc :

a = 26 cm

b = 26 cm

c = 100°

A = (1/2)×26×26×sin 100

=332.87 cm² (2d.p)

Then, find the area of sector OABD using A = (θ/360)×π×r² :

θ = 100°

r = 26 cm

A = (100/360)×π×26²

= 589.92 cm² (2d.p)

Lastly, to find the area of segment ABD, you can to substract the area of triangle from the area of sector :

A = 589.92 - 332.87

= 257.1 cm² (1d.p)

Answer:

1. [tex]\frac{5}{162}[/tex]

2. [tex]\frac{3}{8}[/tex]

Step-by-step explanation:

For the first problem, the probability of spinning an odd number is [tex]\frac{5}{9}[/tex]. The probability of landing on heads is [tex]\frac{1}{2}[/tex], and then the probability of landing on a 3 is [tex]\frac{1}{9}[/tex]. Multiplying all of these together, you get [tex]\frac{5}{162}[/tex]. For the second problem, the probability of spinning a number greater than one is [tex]\frac{3}{4}[/tex], and the probability of landing on tails is [tex]\frac{1}{2}[/tex]. Multiplying these together, you get [tex]\frac{3}{8}[/tex]. Hope this helps!

Answer:

1808.64

Step-by-step explanation:

Answer:

[tex]2\pi \: r \\ 2 \times \pi \times 7 \\ = 14\pi[/tex]

Final answer:

The quadratic equation 6x2 – 13x – 5 = 0 is solved using the Master Product method by factoring and solving for 'x' to get the solutions x = -1/3 and x = 5/2.

Explanation:

To solve the quadratic equation 6x2 – 13x – 5 = 0 using the Master Product, we'll first look at the coefficients of the quadratic, which are 6, -13, and -5. The Master Product method involves finding two numbers that multiply to the product of the coefficient of x2 (which is 6) and the constant term (which is -5), and add up to the coefficient of x (which is -13). The product of 6 and -5 is -30, and we're looking for two numbers that multiply to -30 and add up to -13.

These numbers are -15 and 2 because (-15) * 2 = -30 and (-15) + 2 = -13. We can use these numbers to split the middle term, -13x, into -15x and 2x, and rewrite the quadratic equation as 6x2 - 15x + 2x - 5 = 0. Grouping the terms in pairs and factoring by grouping gives us (3x)(2x - 5) + 1(2x - 5) = 0. Factoring out the common binomial (2x - 5), we get (3x + 1)(2x - 5) = 0. Setting each factor equal to zero, we can solve for x: 3x + 1 = 0 or 2x - 5 = 0, which gives us x = -1/3 or x = 5/2.