Which statements are correct? Check all that apply.

Mathematics

2 answers:

tester [12.3K]3 months ago

6 0

Answer:

The correct answers are 1 and 3.

babunello [11.8K]3 months ago

6 0

Answer:- 1. True. A compass serves the purpose of drawing circles and arcs in geometric constructions.

2. False. A standard geometric construction necessitates the use of a straightedge, compass, and pencil, among other tools, to accurately draw a geometric figure.

3. True. Geometric constructions are crafted using a compass and straightedge.

4. True. Protractors assist in geometric constructions for measuring angles, while rulers are employed to gauge segment lengths.

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Kathleen and Arnob both run from the park entrance along a loop. Kathleen starts walking from the park entrance and gets a 5-mil

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In this scenario, the first step is to assign variables.

We define:

x: time measured in minutes

y: distance covered.

The equations formulated are as follows:

For Kathleen:

$y = (\frac{1}{15}) x + 5$

For Arnob:

$y = (\frac{2}{15}) x$

At the moment Arnob meets Kathleen, we have:

$(\frac{1}{15}) x + 5 = (\frac{2}{15}) x$

Next, we isolate x.

We now have:

$(\frac{2}{15}) x - (\frac{1}{15}) x = 5$

$(\frac{1}{15}) x = 5\\x = (15) * (5)\\x = 75 min$

Answer:

Arnob takes a total of 75 minutes to catch up to Kathleen:

d. 75

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PIT_PIT [12445]

The answer to the problem above is the fourth triangle. To explain: Triangle 1 has a side length of 50 inches, with Triangle 2 measuring 40 inches as it is 80% of Triangle 1. Triangle 3 then measures 32 inches due to it being 80% of Triangle 2, and Triangle 4 comes down to 25.6 inches, which is 80% of Triangle 3. Hence, Triangle 4 will be the first to have a side length under 29 inches.

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