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choli [55]
3 years ago
5

Suppose Rm (3,-4)=(1,1) and Rn (1,1)=(-5,16) Is m || n? Explain.

Mathematics
1 answer:
r-ruslan [8.4K]3 years ago
4 0
To determine if the given pair of lines are parallel, we are to calculate first for their slopes through the equation,
                                        m = (y₂ - y₁) / (x₂ - x₁)
Rm (3, -4) and (1,1)
                                       m = (1 --4) / (1 - 3) = -5/2
Rn (1,1) and (-5,16)
                                       m = (16 - 1) / (-5 -1) = -5/2
Since the lines have the same slope, then they are parallel. The answer is true. 
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What is the missing length?
mamaluj [8]

Answer:

13.2''

Step-by-step explanation:

lets ? be x

x² + 15² = 20²

x² = 20² - 15²

x = √175

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5 0
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Acapulco, Mexico and Hyderabad, India both lie at 17° north latitude, and lie very nearly halfway around the world from each oth
Nataly_w [17]
In solving this problem we can consider Earth to be a sphere. When we have a circle, then we can use this formula to find arc length:
L=2 \pi R \frac{C}{360}
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R = radius of circle (in this problem it is equal to a radius of Earth)
C = angle we need to pass

We are told that two cities lie halfway around the world. If we fly to west this means angle is 180°.
This gives an arc length of:
L=2* \pi *3960* \frac{180}{360}  \\  \\ L=12440.71 miles

If we want to fly to north we need to go to 90° northern latidtude and then back to 17° latitude. This means angle is:
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6 0
2 years ago
The measure of ZBC = 180°, and the length of AD and Date tool, which is the measure of ZACD?
Julli [10]

Answer:

B. 45°

Step-by-step explanation:

recall that Thales' theorem states that the diameter of a circle always subtends a right angle on any point on the circle.

what this means is that if ABC is the diameter of the circle, then AD and DC always meet at the circumference at 90°

in this case, if ∠ADC is 90° (by thales theorem), and AD = DC, then we have an isoceles triangle.

This also means that the base angles of the isoceles triangle, ∠DAC and ∠ACD must be equal.

recall that all interior angles of a triangle add up to 180°

180° = ∠ADC + ∠DAC +∠ACD

180° = ∠ADC + 2 ∠ACD

180° = 90° + 2 ∠ACD

2 ∠ACD = 90°

∠ACD = 45°

8 0
2 years ago
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