Solve for x. 2x/3 = 12

Answer:

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Step-by-step explanation:

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Answer:

Several congruent angles are formed. Vertical angles are formed. Supplementary angles are formed. Obtuse angles are formed.

Step-by-step explanation:

Final answer:

When a transversal crosses parallel lines, several congruent angles and vertical angles are formed, and supplementary angles can occur; whereas complementary angles are not a necessity, and obtuse angles depend on the transversal's orientation.

Explanation:

When a transversal crosses parallel lines, several geometrical properties are observed that result in certain types of angles being formed. Let's explore these in detail:

Several congruent angles are formed because when a transversal cuts through parallel lines, corresponding angles are congruent, as are alternate interior angles and alternate exterior angles.

Vertical angles are also formed at the points where the transversal intersects the parallel lines. These vertical angles are always congruent.

Supplementary angles are formed when two angles add up to 180 degrees. This is often true for consecutive interior angles on the same side of the transversal.

However, complementary angles, which add up to 90 degrees, are not necessarily formed when a transversal crosses parallel lines. The formation of obtuse angles is possible depending on the orientation of the transversal.

The loss of each owner of the catering company is 22 dollars.

Average is the sum of the total weights of each individual divided by the number of individuals.

Given that a catering company loses 110 dollars as a result of the delay and the company has 5 owners and they share the loss equally.

As the loss has been shared by the owners equally we have to divide the total loss occurred by the total no. of owners to obtain the amount of loss for each individual which is,

= 110/5 dollars.

= 22 dollars.

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Answer:

Required ration which represent the situation = [tex]\frac{-13}{2}[/tex]

Step-by-step explanation:

Given: Cars in parking lot decreases at rate of 13 cars every 2 minutes.

To find: Rational Number which represent given information

Rational Number is a number in form of  [tex]\frac{p}{q}[/tex] where p be any integer and q is non zero integer.

So from given information

No of cars decreases in 2 minutes = 13 cars

So, No of cars decreases in 1 minute = [tex]\frac{13}{2}[/tex]

Therefore rate at which cars decreasing in parking lot is  [tex]\frac{13}{2}[/tex]  cars/min.

Since it is decreasing, ration which represent it must be equal to [tex]\frac{-13}{2}[/tex]

Therefore, Required ration which represent the situation = [tex]\frac{-13}{2}[/tex]

The expression to represent the temperature 'h' hours after 1 p.m. given an initial temperature of 73°F and a decrease rate of 1.5°F per hour is 73 - 1.5h. This allows us to calculate the temperature at any given hour where 'h' is the number of hours after 1 p.m.

The problem involves dealing with linear equations, specifically those representing changes over time. In this situation, the temperature starts at 73°F at beginning of the time, i.e., at 1 pm and then decreases at a steady rate of 1.5°F per hour.

So, the decrease in temperature can be represented by 1.5h, where h is the number of hours elapsed since 1 p.m. As the temperature starts at 73°f, we subtract this decrease from the initial temperature. Therefore, the expression to determine the temperature after h hours is 73 - 1.5h.

This equation tells us that for each hour after 1 p.m., we simply subtract 1.5 from 73 and this would give the temperature at that time. For example, at 2 p.m., h equals 1, and the equation 73 - 1.5(1) gives us 71.5°F.

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The 12th term represents the cost of packaging and shipping a 12-pound item, which is $14.

To find the 12th term in this sequence, we first need to understand what the sequence represents. In this case, it's the cost of packaging and shipping items based on their weight.

Let's break down the formula:

For the first pound, the cost is $5.75.

For each additional pound beyond the first, the cost is $0.75.

So, the sequence represents the cost of packaging and shipping items weighing 1 pound, 2 pounds, 3 pounds, and so on.

To find the 12th term:

[tex]\[ \text{Cost} = \$5.75 + (n - 1) \times \$0.75 \][/tex]

Where ( n ) is the weight of the item.

For the 12th term:

n = 12

[tex]\[ \text{Cost} = \$5.75 + (12 - 1) \times \$0.75 \][/tex]

[tex]\[ \text{Cost} = \$5.75 + 11 \times \$0.75 \][/tex]

[tex]\[ \text{Cost} = \$5.75 + \$8.25 \][/tex]

[tex]\[ \text{Cost} = \$14 \][/tex]

So, the 12th term represents the cost of packaging and shipping a 12-pound item, which is $14.

The equation of the required line is: y=-x-1.

y=2x-1 is in slope intercept form. So the y-intercept = -1.

Given that the line intersects with y=2x-1 on the y-axis. It means the required line also has y-intercpt =b= -1.

Given that: The line is parallel to y=-x.

The slope of y=-x is -1. By comparing with y=mx+b.

Since the lines are parallel. So the required line will also have slope = m= -1.

So the equation of the required line is: y=mx+b or y = -1x + (-1) or y=-x-1.

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x is the numbers across the bottom and Y is the numbers on the sides

 coordinates are written (x,y)

so for 1. A is at (1,3) B is (0,5) you can find the rest

for number 2

 (2,1) is D, (3,1) is F  you can find the rest.

Answer:

To find the area of a rectangle, you do Length times width. 11 times 8 equals 88, so the width would have to be 8. To find the perimeter, you add up all of the sides. If the width is 8, and the perimeter is 46, 8+8=16 and 48-16 = 30 then the length is 15.

To figure out how many 1/8 cups are in a 1/4 cup, we execute a division of fractions. This problem can be rewritten as 1/4 divided by 1/8, then inverted to 1/4 multiplied by 8/1, which equals 2. Therefore, there are 2 1/8 cups in a 1/4 cup.

To find out how many 1/8 cups are there in 1/4 cup, you need to understand concept of fractions and their division. In this case, we want to know how many times 1/8 goes into 1/4.

We could write this as a division problem, 1/4 ÷ 1/8. Division of fractions involves flipping the second fraction (1/8) and multiplying instead. So, 1/4 divided by 1/8 becomes 1/4 multiplied by 8/1.

This results in the fractions giving us 2.

Therefore, there are 2 1/8 cups in a 1/4 cup.

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