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chubhunter [2.5K]
2 years ago
11

Complete the two-column proof by providing a reason for each of the five statements.

Mathematics
1 answer:
mrs_skeptik [129]2 years ago
5 0

Answer:

Reason:

1) assumptions given

2) RUTS is a rectangle

3) RUTS is a rectangle

4) because:

+) ∠STU and ∠SRU are the right angles

+) RU = ST; UT = RS

=> ΔURS ≅ ΔSTU (SAS)

5) because  ΔURS ≅ ΔSTU (SAS) => ∠USR = ∠SUT

Step-by-step explanation:

You might be interested in
If you measure a tds of 1.4%, and you used a brew ratio of 15, what is the percent extraction?
sweet-ann [11.9K]
Answer: the extraction is 18.2%.

Explanation:

Let's see few definitions:
TDS = Total Dissolved Solids = solids dissolved in the brew
PE = Percent Extraction = percent of solids extracted from the dry coffee grounds

The percent extraction can be calculated by the formula:
PE = TDS × Rm

where
Rm = ratio between the mass of the brew and the mass of dry grounds

Now, you need to consider the following facts:
1) every 1g of coffee absorbs 2g of water
2) the given brew ratio is 1:15, which means that for every 1g of grounds we use 15g of water

Let's call
x = grams of coffee grounds we want to use
Therefore the mass of the brew will be: 
m(brew) = water we use - water absorbed by the coffee
              = 15·x - 2·x
              = 13·x

Therefore,
Rm = m(brew) / x
       = 13·x / x
       = 13

Hence, the percent of extraction will be:
PE = <span> TDS × Rm
      = 1.4 </span>× 13
      = 18.2
4 0
3 years ago
15.eye color if 2/3 of the girls in class have Brown eyes and 1/4 of the girls have blue eyes what fraction of the girls in clas
Rina8888 [55]

Answer:

Brown would be it

Step-by-step explanation:

3 0
2 years ago
What is the value for y?<br><br> Enter your answer in the box.<br><br> y=
Elodia [21]

Answer:

y = 14

Step-by-step explanation:

Since AC = BC then the triangle is isosceles and the base angles are congruent, that is

∠A = ∠B = 50°, thus

∠C = 180 - (50 + 50) ← sum of angles in Δ = 180°

     = 180 - 100 = 80°, hence

5y + 10 = 80 ( subtract 10 from both sides )

5y = 70 ( divide both sides by 5 )

y = 14

7 0
2 years ago
Write the slope intercept form of a line containing the y - intercept (0, -3) with a slope of –1.
drek231 [11]

Answer:

y = -1x -3

Step-by-step explanation:

3 0
2 years ago
Anyone know what the answer is
Mars2501 [29]

Answer:

22,-15 ................ maybe

4 0
3 years ago
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