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Natalija [7]
2 years ago
7

Triangle RST was dilated by a scale factor of One-half. The image, triangle R'S'T', is an isosceles triangle, with each leg meas

uring 8 units.
Point Q is the center of dilation. Isosceles triangle R S T was dilated to smaller triangle R prime S prime T prime. Sides R S and R T are 8 units long.

What is the length of a leg of the pre-image, triangle RST?

4 units
8 units
16 units
20 units
Mathematics
2 answers:
andrew11 [14]2 years ago
8 0

Answer:

The length side of the pre-image is 16 units

Step-by-step explanation:

we know that

The length side of the image is equal to the length side of the pre-image multiplied by the scale factor

or

The length side of the pre-image is equal to the length side of the image divided by the scale factor

in this problem we have that

The scale factor is 1/2

The length side of the image is 8 units

therefore

8/(1/2)=16 units

The length side of the pre-image is 16 units

DiKsa [7]2 years ago
4 0

Answer:

16

Step-by-step explanation:

just took the test (:

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Solve the inequality. Using a verbal statement, in simplest terms, describe the solution of the inequality. Be sure to include t
rodikova [14]
-2x + 3 > 3(2x - 1)

the inequality sign > means 'greater than'.

First simplify the right side of the equation by distributing the 3 over the parentheses:-

-2x + 3 > 6x - 3

Now add -6x to both sides of the inequality  which gives us
-8x + 3 > -3
Adding -3 to both sides we have
-8x > -6

The next step is to divide  both sides by -8 so x is isolated on the left side and this gives us the solution. However there is a rule with inequalities that if you divide  the variable term by a negative the inequality is flipped. So in this case , greater that (>) becomes  less than (<):-

-8x / -8 < -6/-8

x <  3/4  is your answer.
7 0
2 years ago
A sheriff is interested in the average speed that people drive on Highway 50. Match the vocabulary word with its corresponding e
aleksandr82 [10.1K]

Answer:

1. Statistics

2. Sample

3. Population

4. Variable

5. Data

6. Parameter

Step-by-step explanation:

1. Statistics is the mean of the sample taken - The average speed that the 250 randomly selected drivers drove on Highway 50

2. Sample is the representative part of the population - The 250 randomly selected drivers who were on Highway 50

3. Population is the group of people from which the sample was taken - All people who drive on Highway 50

4. Variable is a quantity that has values which differ - The speed that a driver drives on Highway

5. Data is information obtained used for a specific purpose - The list of the 250 speeds that the drivers studied drove

6. Parameter is the mean of a population - The average speed that all drivers go on Highway 50

4 0
2 years ago
What operations have inverse relationships? Select all that apply.
Pie

Answer:

a and d

Step-by-step explanation:

adition and subtraction

division and multiplication

3 0
2 years ago
Among all pairs of numbers whose difference is 16 find a pair whose product is as small as possible. What is the minimum​ produc
avanturin [10]
16,0
16-0=16
16*0=0
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A study investigated about 3000 meals ordered from Chipotle restaurants using the online site Grubhub. Researchers calculated th
Allisa [31]

Answer:

21.186%

Step-by-step explanation:

z = (x-μ)/σ,

where

x is the raw score = 2400mg

μ is the population mean = 2000mg

σ is the population standard deviation = 500mg

z = 2400 - 2000/500

z = 0.8

Probability value from Z-Table:

P(x<2400) = 0.78814

P(x>2400) = 1 - P(x<2400) = 0.21186

Converting to percentage:

0.21186 × 100

= 21.186%

Therefore, the percent of the meals

ordered that exceeded the recommended daily allowance of 2400 mg of sodium is 21.186%

7 0
2 years ago
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