Julius needs to determine how much information needs to be given about an isosceles triangle to be able to draw an isosceles triangle. He is looking at six different cases and is trying to determine if that amount of detail will allow him to construct just one isosceles triangle or if it allows for more than one isosceles triangle.

Case 1. The length of the two congruent sides and the measure of the included angle.

Case 2. The lengths of two non-congruent sides and the measure of the included angle.

Case 3. The lengths of two non-congruent sides.

Case 4. The measure of the two congruent angles and the included side.

Case 5. The measure of two non-congruent angles.

Case 6. The measure of two non-congruent angles and the included side.

Forms only one isosceles triangle: Forms more than one isosceles triangle:

Answer:

Case 1 = One isosc. triangle

All of the others I have no idea.

Step-by-step explanation:

Isosceles triangle is a triangle with two congruent sides.

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Mattress Warehouse is having a sale on all mattresses. A twin and a king-size mattress are similar rectangles, and the ratio of the corresponding sides is 2:3. If the area of the king-size mattress is 108 ft^2
what is the area of the twin mattress?
1.48 ft^2
2.72 ft^2
3.90 ft^2
4.162 ft^2

Ana wants to place 11 plants on 3 shelves. Each shelf holds the same number
of plants. There are 2 plants that do not fit. Model this situation with an equation
and a hanger diagram, where p is the number of plants that fit on each shelf.

What is 2x - 4x = 1 as a fraction



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2^3 x 2^6 x 2^? = 2^12

Jiro buys 2 rocks that each cost the same amount, r, and a magnifying glass
that costs $5. The total cost is $9. Model this situation with an equation and a
hanger diagram.

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Which of the following statements are true?

Andy runs the same number of miles, x, every day. His total distance run for one week is les than 60 miles. Write an inequality that represents how many miles Andy runs each day.

and

Tonya pays $300 each month to rent an office where she earns $25 per hour tutoring students. Write an equation that represents Tonya's profit, yy, for working xx hours.

Since the circumference is a little greater than 3 times the diameter, π is a number that is a little greater than 3. Use the symbol π to represent this special number. Pi is a non-terminating, non-repeating decimal, and mathematicians use the symbol π or approximate representations as more convenient ways to represent pi.
π = 3.14 or 227
Find the circumference of the circle in the picture.

<-- 50 points No Trolls please

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Brandon is measuring a crayon with a ruler. First. he gets 3 inches then he measures again and gets 8cm. Why are the lengths different?

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6,000 ÷ (18x+6) -37=63
plsssss find what x is!!! and hurry

Kim is planting a border in her garden in Trail, BC. She plants 5 yellow daisies for every 3 red petunias. The ratio of daisies to petunias is 5 : 3.

How many petunias would Kim plant for each number of daisies?
• 10 daisies • 15 daisies • 20 daisies

In each case, what is the ratio of daisies to petunias?

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By the end of the strike, every newspaper company lowered the bundle cost back to $0.50 except the companies that owned the popular newspapers The World and The Journal. They kept the cost of their newspapers at $0.60 per bundle, but they offered to buy back any newspapers that the newsies were unable to sell during the day. These two publishers agreed to pay the same amount the newsies paid them. $0.06 for every 10 papers.

If you were a newsie, would you rather have the newspaper bundle cost less or have the publisher buy back the unsold papers? Explain your answer.

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Peter says if you subtract 13 from my number and multiply the difference by -6, the result is -42. What is Peters's number?

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The transportation department is painting large arrows on some of the city’s one way streets. The dimensions of the arrows are shown below.

(there's two parts to it)
(part one) George tosses two six-sided number cubes 20 times. He records his results in a dot plot.
Part A. Describe the shape of the data distribution.
(2nd part) Part B. Critique Reasoning: George says that he expects to roll a sum of 11 on his next roll. Do you agree? Justify your reasoning.

In the following problems, you will make an inference, or prediction, based on the sample from a population. Write two to three complete sentences.

1. There are 200 students in the 7th grade. The students were asked to sign up for their favorite field day activity in gym class. A sample showed that 45 students signed up for tug of war, 15 students signed up for the relay race, and five students signed up for the hula hoop contest. What can you predict about field day?

The perimeter of a regular hexagon (All sides are equal) is 24x +48. Write an expression to represent the length of one side.