Verify that parallelogram ABCD with vertices A(-5, -1), B(-9, 6), C(-1, 5), and D(3, is a rhombus by showing that it is a parallelogram with perpendicular diagonals.​

Travis' famous letter, addressed to "The People of Texas and All Americans in the World," in which he passionately appealed for reinforcements and vowed to "never surrender or retreat," has become a symbol of the fortitude and sacrifice displayed by the Texan defenders at the Alamo.

The commander of the Texan forces at the Alamo during the famous battle in 1836 was Colonel William B. Travis. Travis, a lawyer and soldier, was chosen as the leader of the Texan garrison at the Alamo, a former mission turned fortress in San Antonio, Texas. He assumed command of the Texan forces in early 1836 and played a crucial role in the defense of the Alamo against the Mexican army led by General Santa Anna.

Travis and his men, along with notable figures such as James Bowie and Davy Crockett, bravely defended the Alamo against overwhelming odds for thirteen days. Despite their courage and determination, the Texan defenders were ultimately overrun by the Mexican forces on March 6, 1836, and suffered heavy casualties, including the deaths of Travis, Bowie, and Crockett.

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Step-by-step explanation:

4^2/3

but I got 4^-3/3

hope help ful

Answer:

43.2 inches

Step-by-step explanation:

Hello!

According to the question Miami Beach and similar coastal regions are experiencing sea levels at a rate of 12 inches every five years how many inches will the sea level rise in the next 18 years if this rate remains constant

Firstly find rate per year

In order to find rate per year, divide 12inches by 5

➟ 12/5

➟ 2.4

Lastly Multiply 2.4 by 18

➟ 2.4 • 18

➟ 43.2

So, The sea level rise in the next 18 years is 43.2 inches

It is not possible to find a combination using addition and multiplication of the given single-digit numbers that totals exactly 100 while keeping the same order.

To combine the single-digit numbers 1, 2, 3, 4, 5, 6, 7, 8, and 9 using only addition and multiplication so that they total 100 while keeping the same order, we can form the following expression:

1 + 2 + 3 + 4 + 5 + 6 + 78 + 9

In this expression, we group the numbers 7 and 8 together to form 78. Then, we add all the other numbers from 1 to 6 and the number 9. Adding them up, we get:

1 + 2 + 3 + 4 + 5 + 6 + 78 + 9 = 108

Unfortunately, the sum obtained from this expression is 108, not 100 as required.

It is not possible to obtain a sum of exactly 100 by combining the single-digit numbers 1 to 9 in the given order using only addition and multiplication. This is because the largest single-digit number, 9, is relatively small compared to the desired total of 100.

Adding all the single-digit numbers in order without any multiplication would result in a sum of 45, which is significantly lower than 100. Multiplication can only further decrease the sum, making it even more difficult to reach 100.

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Answer:

119

Step-by-step explanation:

17 * 8 = 136

136-17 to get the answer

Hello :D

$40.00 x 3 = $120.00

$20.00 x 2 = $40.00

$120.00 + $40.00 = $160.00

$400.00 - $160.00 = $240.00

There is $240.00 left in the account.

Answer:

Tublu has more than enough paint to cover the tank surface in one layer coating

Step-by-step explanation:

Height of the cylinder = 1.4 m

diameter of the cylinder = 1.1 m

total volume of paint available = 2 litres

It takes 250 ml to cover 1 m^2 of the tank body

Since only the body is to be painted, we find the perimeter of the circle formed by the body of the tank.

perimeter of the circle formed by the body of the  tank = \(\pi d\)

==> 3.142 x 1.1 = 3.456 m

This perimeter, if spread out, will form a rectangle with a height of 1.4 m from the base.

The area of the rectangle that will be formed =  (perimeter of the cylinder body) x ( height of the cylinder)

==> 3.456 x 1.4 = 4.838 m^2

This is the area that needs to be painted.

Converting the paint volume,

250 ml = 0.25 litres

To paint the above calculated are, we will need 4.838 x 0.25 = 1.21 litres of paint, (of course, excluding the base)

The volume of paint available = 2 litres

volume of paint needed = 1.21 litres

Tublu has more than enough paint to cover the tank surface in one layer coating

Answer:

315 (C)

Step-by-step explanation:

If it takes 45 minutes to make 3 bracelets, (considering she spends equal time on each) she's making 1 bracelet every 15 minutes. There are two ways you can solve this.

45/3 = 15 times 21 (bracelets) = 315

Or,

21/3 is 7, so multiply 7 and 45 to get 315 as well.

(Second Question) If we're finding percentages you always want to find a number out of 100. We can get to 100 evenly by multiplying 25 by 4. Do the same for 15 so the ratio stays equal, and you get 60, or: 60%.

First, we need to find the z-score usign the next formula

x is the score

μ is the mean

σ is the standard deviation

In our case

The mean (μ) = 4

The standard division (σ )= 1

The calls lasted less than (x)=3

we substitute the values

the with tables we can find the probability for the value of z given

percentage of the calls that lasted less than 3 min is 15.87% approximately 16%

Answer:

z=3

Step-by-step explanation:

1. collect like terms

5z-5=25-5z

2. Move the variable to the left hand side and change its sign

5z-5+5z=25

3. Collect like terms

10z=25+5

4. Divide both sides of the equation by 10

z=3

The solution to the equation is z = 3.

To solve for z in the equation 3z - 5 + 2z = 25 - 5z, we can simplify and combine like terms on both sides:

3z + 2z + 5z = 25 + 5

Combining the terms on the left side gives:

10z = 30

Next, we isolate the variable z by dividing both sides of the equation by 10:

(10z)/10 = 30/10

This simplifies to:

z = 3

Therefore, the solution to the equation is z = 3.

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The length of the side of the square is given as follows:

20 cm.

In the figure, there are two expressions used to give the side length to each square, as follows:

In a square, all the four side lengths have the same length, hence the value of x is obtained as follows:

6x - 1 = 4x + 6

2x = 7

x = 3.5 cm.

Then the side length of the square is obtained as follows:

6(3.5) - 1 = 20 cm.

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Answer: a. 2

Step-by-step explanation:

According to the Empirical rule, when data is normally distributed then 95% of the lies within 2 standard deviations from mean.

Given: The distribution of the heights of students in a large class is roughly bell-shaped ( i.e. Normally distributed).

The average height is 68 inches, and approximately 95% of the heights are between 62 and 74 inches.

Then, by  Empirical rule, 68 -2(standard deviations) =62  [lower limit]

⇒ 2(standard deviations)= 68-62 = 4

⇒ standard deviations=2

Hence, correct option is a. 2

Answer:

B-3

Step-by-step explanation:

According to the empirical rule, roughly 95% of the distribution is within 2 standard deviations of the mean.

The mean is 68. The distance from 62 to 68 is 6 inches

68-62=6

Cut that in half to get 6/2 = 3

So the standard deviation is 3

Answer:

the answer is 3.36 please mark brainliest

Step-by-step explanation:

Answer:

a. 8

Step-by-step explanation:

1+1 = 2

1+2 = 3

2+3 = 5

3+5 = 8

The expression for the total number of packets of crisps that Jane buys is given as follows:

p + c.

The amounts of packets of crisps purchased are given as follows:

The expression for the total number of packets of crisps that Jane buys is given by the addition of these two amounts.

Hence the expression for the total number of packets of crisps that Jane buys is given as follows:

p + c.

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Step-by-step explanation:

area of a circle= πr²

and r= half diameter

therefore we have r=10/2=5

area= 5² x π

area= 25π

circumference=2πr

circumference= 2xπx5

circumference=10π

The point has an x-coordinate of -4 and a y-coorindate of -1, and it is on the third quadrant.

First, remember that for a point (x, y):

For the point that is 4 units to the lefft and 1 unit down (of the origin) it is written as:

(-4, -1)

Then we can see that this point is on the quadrant III.

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Answer:

you multiply them together and get 328.125

8.75x37.5= 328.125

Answer:

-12 + 20x ≥ -6x + 9

Fourth choice

Step-by-step explanation:

Inequalities

We are given the inequality:

-4(3 - 5x) ≥ -6x + 9

Solving the inequality implies having x isolated on one of the sides.

We must start by removing the parentheses. It will be done by multiplying -4 by (3 - 5x). Since this operation doesn't imply multiplying all the inequality by a negative number, the sign won't be flipped:

-4*3 - (-4)5x ≥ -6x + 9

Multiplying:

-12 + 20x ≥ -6x + 9

Fourth choice

           If we use a simple example, the additive inverse of 5 is -5. This is because -5 + 5 = 0.

           It is the same with fractions, if we take one half, \(-\frac{1}{2}\) + \(\frac{1}{2}\) = 0

           A rational number is a number that can be written as an integer or a fraction without having a 0 in the denominator.

("In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. ")

           Basically, the sum of a fraction / rational number and its additive inverse is equal to 0 because you are adding together "opposites" with regards to negative / positive. They are the same number, just different sides of the number line.

Answer:

462 ways

Step-by-step explanation:

One book never selected means 12 - 1 = 11.

So to find the number of ways, 11C5 which equals to: 11!/(5!(11-5)!) = 462

Answer:

x²-5x+(-5/2)²=27+(-5/2)²

(x-5/2)²= 133/4

x-5/2= ±√(133/4)

x= (5/2)± √(133/4)

x= ...

Answer: 14 ounces

Step-by-step explanation:

         To find the mean, we add up all the values and divide by the number of values.

\(\displaystyle \frac{12+14+15+15+14}{5} =\frac{70}{5} =14\;ounces\)

Answer:

4th option

Step-by-step explanation:

The points R', S', T', U' are obtained by a reflection in the line y = - 3

This is a horizontal line passing through all points with a y- coordinate of - 3

RSTU and R'S'T'U' are equidistant from this line

To find the length of arc, we can use the formula

The radius (r) is half of PS, hence

To find the angle:

The Sum of angles in a point will give us

Collecting like terms, we have

Therefore, the angle of arc RPT can be given as

Therefore, we find the length of the arc given we have all the parameters needed.

Hence,

Therefore, the length of the arc RPT is 50.8 feet to the nearest tenth.

Using the fact that ∠A is congruent to ∠B and ∠C is a complement of ∠A, we determined that the measure of ∠B is 65° based on the given measure of ∠C as 25°.

If ∠A is congruent (≅) to ∠B and ∠C is a complement of ∠A, we can use the properties of complementary angles to find the measure of ∠B.

Given that m∠C = 25° and ∠C is a complement of ∠A, we know that ∠A + ∠C = 90°.

Since ∠A is congruent to ∠B, we can replace ∠A with ∠B in the equation:

∠B + ∠C = 90°.

Substituting the given value, we have:

∠B + 25° = 90°.

To isolate ∠B, we subtract 25° from both sides of the equation:

∠B = 90° - 25°.

Simplifying, we get:

∠B = 65°.

Therefore, the measure of ∠B is 65°.

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The area of the right triangle is 155.25 square feet, which is option (C).

What is triangle?

A triangle is a closed two-dimensional geometric figure that has three straight sides and three angles. The three sides may be of equal length, or they may be of different lengths. The three angles of a triangle always add up to 180 degrees.

To find the area of a right triangle, we use the formula:

Area = (1/2) x base x height

where the base and height are the two sides of the triangle that form the right angle.

In this problem, the given values are the base and height of the right triangle. The base is 23 feet and the height is 13.5 feet. We can substitute these values in the formula to get the area of the triangle.

Area = (1/2) x 23 x 13.5

Area = 155.25 square feet

Therefore, the area of the right triangle is 155.25 square feet.

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Answer:

y=8x+5

Step-by-step explanation:

m = slope

b = y-intercept