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3 years ago

The figure below shows a partially completed set of steps to construct a rhombus PQRS:

Mathematics

2 answers:

boyakko [2]3 years ago

8 0

Student 1 was correct. When compass is placed at M and width is adjusted to L, that distance between M and L corresponds to the angle ∠LQM. Therefore the distance between L and M should be equal to the distance between N and point T which is to be constructed. IF the distance LM = NT then the angles ∠LQM and ∠NPT are equal . these are corresponding angles which means that PT and QR are parallel.
PT straight segment is extended. Since opposite sides in a rhombus should be equal, the compass width is adjusted to QR and compass is placed on P to mark the distance of where point S will line on the extended PT line. This is so that PS = QR.
hence, a line PS is drawn that is parallel to QR and equal in length

PilotLPTM [1.2K]3 years ago

7 0

Answer:

I'm stuck on this too and I have no clue

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Please help me with my work

tia_tia [17]

Answer:

Step-by-step explanation:

a^2 + b^2 = c^2

6^2 + 8^2 = c^2

36+64 = square root of 100

square root of 100 is 10

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3 years ago

What is the value of Z

KiRa [710]

Answer:

33.11

Step-by-step explanation:

Use the pythagorean theorem. 30^2 + 14^=z

6 0

3 years ago

Consider two circular swimming pools. Pool A has a radius of 22 feet, and Pool B has a diameter of 13.6 meters. Complete the des

maw [93]

Answers:

13 42 m; B; 0.57 m

Step-by-step explanation:

Data:

Pool A: r = 22 ft

Pool B: D = 13.6 m

Calculations:

1. Radius of Pool A

r = 22 ft × (0.305 m/1 ft) = 6.71 m

2. Diameter of Pool A

D =2r = 2 × 6.71 = 13.42 m

The diameter of Pool A is 13.42 m.

3. Compare pool diameters

The diameter of Pool B is 13.6 m.

So, the diameter of Pool B is greater.

4. Compare circumferences

The formula for the circumference of a circle is

C = 2πr or C = πD

Pool A: C = 2π × 6.71 = 42.16 m

Pool B: r = π × 13.6 = 42.73 m

Pool B - Pool A = 42.73 - 42.16 = 0.57 m

The circumference is greater by 0.57 m.

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3 years ago

Find the length of the third side. If necessary, round to the nearest tenth.

Shtirlitz [24]

240 bc you need to mulitpy it and ye

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3 years ago

Read 2 more answers

The national average sat score (for verbal and math) is 1028. if we assume a normal distribution with standard deviation 92, wha

elena55 [62]

Let X be the national sat score. X follows normal distribution with mean μ =1028, standard deviation σ = 92

The 90th percentile score is nothing but the x value for which area below x is 90%.

To find 90th percentile we will find find z score such that probability below z is 0.9

P(Z <z) = 0.9

Using excel function to find z score corresponding to probability 0.9 is

z = NORM.S.INV(0.9) = 1.28

z =1.28

Now convert z score into x value using the formula

x = z *σ + μ

x = 1.28 * 92 + 1028

x = 1145.76

The 90th percentile score value is 1145.76

The probability that randomly selected score exceeds 1200 is

P(X > 1200)

Z score corresponding to x=1200 is

z = $\frac{x - mean}{standard deviation}$

z = $\frac{1200-1028}{92}$

z = 1.8695 ~ 1.87

P(Z > 1.87 ) = 1 - P(Z < 1.87)

Using z-score table to find probability z < 1.87

P(Z < 1.87) = 0.9693

P(Z > 1.87) = 1 - 0.9693

P(Z > 1.87) = 0.0307

The probability that a randomly selected score exceeds 1200 is 0.0307

5 0

3 years ago