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Vladimir [108]
4 years ago
13

1. In this figure, line m is parallel to line n, and p is a

Mathematics
1 answer:
mariarad [96]4 years ago
4 0

Answer:

4

Step-by-step explanation:

picture attached as explanation

We can see through alternate interior and exterior angles, corresponding angles, and vertical angles what the measures are.

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Convert to the indicated unit of measures
sp2606 [1]

Answer:

The answer is below

Step-by-step explanation:

1) 708 mm

1000 mm = 1 m

708\ mm=708\ mm*\frac{1\ m}{1000\ mm}=0.708\ m

2) 15.6 km

1 km = 100 dam

15.6\ km=15.6\ km*\frac{100\ dam}{1\ km}=1560\ km

3) 108 cc

1 cc = 1 ml

108\ cc=108\ cc*\frac{1\ ml}{1\ cc}=108\ ml

4) 8 tbsp

1 tbsp = 14.7868 ml

8\ tbsp=8\ tbsp*\frac{14.7868\ ml}{1\ tbsp} =118.294\ ml

5) 16.5 L

1 L = 0.264172 gal

16.5\ L=16.5\ L *\frac{0.264172\ gal}{1\ L} =4.56\ gal\\\\

6) 3569 sec

1 day = 86400 sec

3569\ sec=3569\ sec*\frac{1\ day}{86400\ sec}=0.04\ day\\\\

7) 4 score

1 score = 240 months

4\ score=4\ score*\frac{240\ month}{1\ score}=960\ month

8) 299 K

Celsius = kelvin - 273.15

Celsius = 299 - 273.15 = 25.85 °C

9) 200 °F

Celsius = (farenheit - 32) * 5/9

Celsius = (200 - 32) *5/9 = 93.33 °C

10) 10866 mg

1 kg = 1000000 mg

10866\ mg= 10866\ mg*\frac{10^6\ kg}{1\ mg}=0.10866\ kg

4 0
3 years ago
Use Modus Ponens to deduce the conclusion from each of the following pairs of premises:
Nuetrik [128]

The conclusion is a=c statement

A modus ponens argument has the same structure as a syllogism, with two premises and a conclusion:

If P, then Q.

P occurs.

Consequently, Q occurs.

The Modus Ponens rule of inference or rule of logic requires a single premise and its logical consequences. A conditional statement states that if event 1 occurs, event 2 will also occur and that event 2 will be inferred as the outcome if event 1 occurs. For instance, if A implies B and A is assumed to be true, then it follows that B must also be true according to the Modus Ponens rule.

Hence, By modus Ponens

a=b∧b=c ⇒ a=c

So, given a=b∧b=c Then

⇒a=c.

Hence the conclusion is a=c statement .

Learn more about Modus ponens here-

brainly.com/question/15268011

#SPJ10

5 0
2 years ago
Find the radius of a sphere with a surface area of 804 cm^2.
Elanso [62]
Surface area of sphere equals its four radii squared multiplied by the number π.
 We have then:
 A = 4 * π * R ^ 2
 Substituting:
 804 = 4 * π * R ^ 2
 Clearing the value of R we have:
 R = root (804 / (4 * π))
 R = 7.99876785 cm
 Nearest whole number:
 R = 8 cm
 Answer:
 The radius of a sphere is:
 B. 8cm
3 0
3 years ago
I am not understanding these problems. Help me, please?
yanalaym [24]

Answer:

I think I know the answer but not 100% sure

Step-by-step explanation:

Step 1: Complete the scatter plot

Step 2: After you get done, submit the answer and see what grade you get.

7 0
3 years ago
F(x) = -0.5x2, if f(x) = -112.5, what is the value of 'x'?<br> ?
sleet_krkn [62]

Answer:

x = ± 15

Step-by-step explanation:

Given f(x) = - 0.5x² and f(x) = - 112.5 , then equate right sides

- 0.5x² = - 112.5 ( divide both sides by - 0.5 )

x² = 225 ( take square root of both sides )

x = ± \sqrt{225} = ± 15

7 0
2 years ago
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