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Arisa
5 days ago
15

Which statement is true about the graphs of the two lines y = –6 and x =1/6 ?

Mathematics
2 answers:
Leona [11.2K]5 days ago
6 0
The two lines are perpendicular since y = -6 represents a horizontal line characterized by a slope of 0, while x = 6 depicts a vertical line with an undefined slope.
Svet_ta [11.3K]5 days ago
3 0

Response:- The lines are perpendicular to one another as the graph of y = –6 signifies a horizontal line with an undefined slope, in contrast to the graph of x = 1/6 which is a vertical line with a slope of 0.

Explanation:-

The x-axis is represented by the horizontal line y=0, having a slope of 0

The y-axis denotes a horizontal line defined by x=0, possessing an undefined slope.

y=-6 is a horizontal line parallel to the x-axis.

Hence, its slope is 0. [parallel lines maintain identical slopes]

x=1/6 is a vertical line that runs parallel to the y-axis.

Thus, its slope is undefined. [the slopes of parallel lines are equal]

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What is the correct order of steps for bisecting angle ABC? Draw a ray from point B through point F. Keeping the compass the sam
AnnZ [10993]

Answer:

Refer to the detailed explanation below

Step-by-step explanation:

* Let’s organize the procedure to bisect angle ABC

- Angle ABC has vertex at point B and rays BA and BC

# Step 1:

- Center the compass at point B and draw an arc that crosses rays BA and BC ⇒ fifth step

# Step 2:

- Mark point D where the arc intersects ray BA and point E where it meets ray BC ⇒ third step

# Step 3:

- With the compass on point D, create an arc inside the angle ⇒ sixth step

# Step 4:

- Using the same compass width, set it on point E and draw an arc inside the angle ⇒ second step

# Step 5:

- Let point F be the intersection of the arcs from points D and E ⇒ fourth step

# Step 6:

- Draw a ray from point B through point F ⇒ first step

* This ray divides angle ABC into two equal parts

7 0
1 month ago
Read 2 more answers
What is the value of the product (4 – 2i)(6 + 2i)? 20 – 4i 20 + 16i 28 + 16i 28 – 4i
Zina [11231]

(4 – 2i)(6 + 2i)

Use FOIL

First: 4 multiplied by 6 equals 24

Outer: 4 times 2i gives 8i

Inner: -2i times 6 results in -12i

Last: -2i times 2i equals -4i², which simplifies to 4

Combine the results

24 + 8i - 12i + 4

Final result: 28 - 4i

The answer is: 28 - 4i

8 0
1 month ago
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2. Peter drew two rays, AC and AP with A as a common endpoint. Which of the following statements
PIT_PIT [11116]

The complete question reads:

Peter created two rays, AC and AP, sharing a common vertex at point A. Which of the following statements

might accurately describe Peter's drawing?

I. AC and AP are parallel.

II. PAC represents an angle.

III. AC and AP are at right angles.

A. I and II

B. II and III

C. I and III

D. I, II, and III

Answer:

Option B: II & III

Step-by-step explanation:

We know Peter has drawn rays AC and AP.

Since the point A is shared as the endpoint, it indicates an angular relationship at this common point.

This angle could potentially be 90°, suggesting that rays AC and AP may be perpendicular.

Thus, the valid statements that characterize his drawing are: II & III.

4 0
1 month ago
A reporter determines a baseball player's batting average, which is a ratio of number of hits to the number of times at bats. Th
Leona [11201]

x:200

x/200 =.2121212121...

200(x/200) = 200(.2121212121...)

x = 42.4242...

The expectation is that a player would achieve 42 hits over 200 at-bats.

8 0
1 month ago
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2 intersecting lines are shown. A line with points T, R, W intersects a line with points S, R, V at point R. Angle T R V is 95 d
tester [10823]

Answer:

95^\circ

Step-by-step explanation:

Consider the two lines TRW and SRV intersecting at point R, as illustrated in the diagram below and:

\angle TRV=95^\circ

m\angle TRV=m\angle SRW$ (Vertically Opposite Angles)\\Therefore:\\m\angle SRW=95^\circ

6 0
1 month ago
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