In the diagram AB is parallel to CD. What is the term for the line that intersects the two parallel lines?

Solution:

The grocery store is 1/6 miles far from her house.

Explanation:

We have been given that Sylvia walked​ 3/4 ​mi east from her house to the bank. Hence, the distance between the house and the bank is 3/4 miles.

Now, she walked 1/3 ​mi west to a gift shop. It means that she moved 1/3 miles towards her house.

Also,  from the gift shop, she walked​ 1/4 ​mi west to a grocery store. It means she moved 1/3 miles plus 1/4 miles towards her house.

Hence, the distance between the grocery store and the house is

[tex]\frac{3}{4}-\left ( \frac{1}{3}+\frac{1}{4} \right )\\\\=\frac{3}{4}-\frac{1}{3}-\frac{1}{4} \\\\ =\frac{1}{6}[/tex]

Answer:

your answer to this problem is 1/6

Step-by-step explanation:

Answer:

d is ur answer

Step-by-step explanation:

Washington Monument weigh   5 times than the Statue of Liberty

A share is an equation wherein ratios are set equal to each other. as an example, if there's 1 boy and three girls you can write the ratio as: 1 : three. Linear Equation Definition: A A share is an equation wherein ratios are set equal to each other. as an example, if there's 1 boy and three girls you can write the ratio as: 1 : three.

Linear Equation Definition: A linear equation is an algebraic equation wherein each time period has an exponent of 1 and whilst this equation is graphed, it constantly effects in a directly line. this is the motive why it is named as a 'linear equation'.

A ratio can be defined as the relationship or assessment between numbers of the same unit to test how bigger is one wide variety than the alternative one. for example, if the number of marks scored in a take a look at is 7 out of 10, then the ratio of marks obtained to the overall quantity of marks is written as 7:10.

The ratio is the connection or evaluation between two portions of the identical unit to check how bigger is one variety than the alternative one. it's miles written as a/b or a: b wherein b isn't always identical to zero. A proportion is an equality of ratios. Proportions are used to put in writing equal ratios which helps to remedy the unknown portions.

explanation:

The Statue of Liberty weighs about 2.04 x 105105 kg.

The Washington Monument weighs about 9.07 x 107107 kg.

⇒WEIGHT DIFFERENCE = 9.07 x 107107/ 2.04 x 105105 = 4.5 times.

Hence,

Washington Monument weigh   5 times than the Statue of Liberty

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8/4 = 2 caps per ball of wool

 so 6/2 = 3 balls of wool are needed.

4/8 = x/6

8x/24

x = 24/8 = 3

Malcom will need 3 balls of wool to make 6 caps.

Understanding Wool to Caps Ratio

To determine how many balls of wool Malcom will need to make 6 caps, we will use a ratio table. We know that 4 balls of wool can make 8 knitted caps. We can set up a ratio table to find the number of balls needed for any number of caps.

Step-by-Step Explanation:

Step 1: Establish the known ratio: 4 balls of wool : 8 caps

Step 2: Simplify the ratio: (4 balls of wool) / (8 caps) = 1 ball of wool : 2 caps

Step 3: Determine the number of balls of wool needed for 6 caps using the simplified ratio. If 1 ball of wool makes 2 caps, then:

Step 4: Calculate: (number of caps) / (caps per ball) = 6 caps / 2 caps per ball = 3 balls of wool

Therefore, Malcom will need 3 balls of wool to make 6 caps.

Final answer:

The career batting average of 0.366 for a baseball player is a parameter, whereas the 50 percent of high school seniors planning to attend college in a survey is a statistic.

Explanation:

The career batting average of 0.366 for one of the greatest baseball hitters of all time is a parameter, because it represents a numerical characteristic of the entire population of interest, which in this case is the player's hits during his career. A parameter is an actual value from the population, whereas a statistic is a value calculated from a sample that estimates a parameter. In baseball statistics, a player's career average is calculated using all of his at-bats and hits across his career, representing the whole population of his at-bats, hence being a parameter.

In the situation described in option 7 of the provided information, the 50 percent that indicates the proportion of high school seniors planning to attend a four-year college or university the following year is a statistic. This is because it is likely derived from a sample of the overall population of high school seniors, rather than including all high school seniors across the country.

Answer:

The answer is B hope you get a good grade

Step-by-step explanation:

Answer:

Positive integer

Step-by-step explanation:

An integer is a collection of positive and negative number and zero

Positive Numbers:  Positive number are the numbers which have positive sign. For example 4, 9 or which which represents positivity like gain , increase, profit etc

Negative numbers: Negative number are the numbers which have negative sign. For example -4, -9 or which which represents negativity like loss , decrease etc

Zero is neither a negative number nor a positive number.

13 yard is a positive because there is a gain , which represent positivity.

We can also write + 13 yard.

Hence, the correct answer is it is a positive integer

Answer:

(C) Base angle theorem

Step-by-step explanation:

Given: JKLM is an isosceles trapezoid, KL ∥ JM  

Prove: KM ≅ JL

Proof:

Statements                                                                 Reasons

1. JKLM is an isosceles trapezoid, KL ∥ JM               Given

2. JK ≅ LM                                                definition of isosceles trapezoid

3.  KL ≅ KL                                                          reflexive property

4. ∠JKL ≅ ∠MLK                                          Base angle theorem (base=LK)

5. △JKL ≅ △MLK                                                       SAS rule

6. KM ≅ JL                                                                  CPCTC  

Hence proved.

therefore, option C is correct.

The missing reason for statement 4, is: C. base angles theorem.

The base angle theorem states that the two base angles in an isosceles triangle that are opposite the congruent sides are equal in measure or congruent.

Thus, ∠JKL and ∠MLK are base angles of the identified isosceles triangle, therefore, the missing reason for statement 4, is: C. base angles theorem.

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Final answer:

To find the quadratic equation that models the depth of the Pythagorean Sea, we apply given conditions to the standard form y = ax^2 + bx + c. Solving for coefficients, we then identify the vertex of the parabola to find the deepest point of the sea. Finally, we calculate the depth at this point by substituting the vertex into the equation.

Explanation:

Finding the Particular Quadratic Equation and Depth of the Sea

To find the particular quadratic equation for the depth of the Pythagorean Sea as a function of its width, we can begin by assuming the standard form of the equation:

y = ax^2 + bx + c,

where y represents the depth in meters, and x is the horizontal distance from the shore in meters. Given that the sea's width is 1000 meters and at 200 meters from the shore the depth is 20 meters, we can establish some conditions.

By substituting these conditions into the equation, we can solve for a and b to determine the complete equation. Once we have the equation, the depth's maximum (the deepest part of the sea) will occur at the vertex of the parabola, which is at x = -b/(2a).

Once we find the deepest point, we can calculate its depth by substituting back into the equation.

Answer:

equation: y = 0.0005x²

maximum depth: 500 m

Step-by-step explanation:

Equation for a quantity that changes quadratically with another quantity:

y = kx²

where x = width, and y = depth.

For x = 200, y = 20.

20 = k(200²)

k = 20/(40000)

k = 0.0005

The equation is

y = 0.0005x²

The width is 1000 m.

For 1000 m, x = 1000

y = 0.0005x²

y = 0.0005(1000²)

y = 500

Answer:

equation: y = 0.0005x²

maximum depth: 500 m

All I can say is that the answer is 6 because this needs paper to draw a bar diagram

The unit cost is cost of 1 unit of a product, here its cost of 1 pound of sugar. 

In first case unit cost is $1.07.

In second case, cost of the 2 pound = $2.02, or cost of 1 pound = [2.02/2] = $1.01. 

In third case, cost of the 3 pound = $2.79, or cost of 1 pound = [2.79/3] = $0.93.

 
We can see that as the quantity is increasing unit cost is decreasing.

The ratio of stars to hearts is 3:2, so option C is correct.

It is the comparison of one quantity with another. For example, if your weight is 30 kg and your father's weight is 90 kg, then the ratio of weight is 1:3.

Given:

The no of stars  = 6,

The no of hearts = 4

Calculate the ratio by the formula given below,

The ratio of stars to hearts (R) = The no of stars / The no of hearts

Substitute the values,

R = 6 / 4

R = 3 / 2

Therefore, the ratio of stars to hearts is 3:2.

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Answer:

The answers is 3 hope this helped

Hey there! You answer is x - (-17) . I hope this helped! Your fellow Brainly user, GalaxyGamingKitty.

The correct answer is option B). The expression that represents the amount of tax paid on the bicycle is 0.09x.

The expression given is:

[tex]\[ 0.09x + (x - 30) \][/tex]

This expression can be broken down into two parts:

1. [tex]\( 0.09x \)[/tex] represents the tax paid on the original price of the bicycle, where [tex]\( x \)[/tex] is the original price and [tex]\( 0.09 \)[/tex] (or [tex]\( 9\% \)[/tex]) is the tax rate.

2. [tex]\( (x - 30) \)[/tex] represents the final price after the instant rebate of $30 has been subtracted from the original price [tex]\( x \)[/tex].

Since we are looking for the amount of tax paid, we only need to consider the tax component, which is [tex]\( 0.09x \)[/tex].

Therefore, the expression that represents the amount of tax paid on the bicycle is: [tex]{0.09x}[/tex]

The value of h in the given equation is 5/4

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.

An equation is a mathematical sentence that has two equal sides separated by an equal sign. 4 + 6 = 10 is an example of an equation. We can see on the left side of the equal sign, 4 + 6, and on the right hand side of the equal sign, 10.

An equation is a condition on a variable such that two expressions in the variable should have equal value.

Given that, an equation, 10=8h, we need to solve for h

10 = 8h

8h = 10

Divide by 8

8h / 8 = 10 / 8

h = 5 / 4

Hence, the value of h in the given equation is 5/4

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