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frez [133]
3 years ago
11

PLZ HELP ASAP 15 POINTS!!!

Mathematics
2 answers:
Softa [21]3 years ago
6 0

Answer:

A. (AB/BC)=(CE/ED)

Step-by-step explanation:

Property of similar triangles :

If two triangles are similar then the corresponding sides are in same proportion,

Here, \triangle ABC\sim \triangle CED

By the above property,

\frac{AB}{BC}=\frac{CE}{ED}

Hence, the column prove would be,

            Statements                      Reason

1. AC ⊥ CD

Δ ABC is similar to ΔCED                         Given

2. (AB/BC)=(CE/ED)                          Property of similar triangle

3. Slope of AC = -AB/BC                    Definition of slope

Slope of CD = ED/CE

4. Slope of AC  × Slope of CD           Multiplying the slopes

= -AB/BC × ED/CE

5. Slope of AC  × Slope of CD           Substitution property of equality

= -CE/ED × ED/CE

6. Slope of AC  × Slope of CD = -1   Simplifying the right side.

Hence, option 'A' is correct.

icang [17]3 years ago
4 0

Answer:

A.(AB/BC)=(CE/ED)

Step-by-step explanation:

Properties of Similar Triangles  states two things

Corresponding angles are congruent (same measure)

Corresponding sides are all in the same proportion

That means AB/ BC = CE/ED

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6 0
3 years ago
Write the equation of the circle graphed below
Norma-Jean [14]

Answer:

The equation of the circle is

(x + 2)² + (y + 2)² = 9

Centered at (-2, -2), with radius of 3 units.

Step-by-step explanation:

The general equation of a circle is given as

(x - h)² + (y - k)² = r²

Where (h, k) is the center of the circle, and r is the radius.

Looking at the graph, the center is the red dot. It corresponds to -2 on the y-axis, and -2 on the x-axis. So, the center (h, k) is (-2, -2).

The radius is the distance from the center of the circle to the edge of the circle. The red dot is the edge of the circle, there are 3 lines that represent 3 units, so we have a radius of 3 units.

Using these in the general equation, we have

[x - (-2)]² + [y - (-2)]² = 3²

(x + 2)² + (y + 2)² = 9

And this is the equation.

6 0
3 years ago
Line v has an equation of y=–109x–3. Perpendicular to line v is line w, which passes through the point (2,3). What is the equati
Korvikt [17]

Answer:

the equation of line w will be y = 1/109x + 325/109

Step-by-step explanation:

when a line is perpendicular to another line, that means their slopes are reversed signs and flipped.

so if one slope is 2/3, the perpendicular slope would be -3/2

so in this problem, line w would have 1/109 be the slope.

using this, we can substitute m as the slope and the given point in the problem as x and y and solve for b in the slope-intercept form (y = mx +b)

m = 1/109

(2,3)

y = mx + b

3 = (1/109)2 + b

3 = 2/109 + b

327/109 = 2/109 + b

325/109 = b

putting it all together, the equation of line w will be y = 1/109x + 325/109

4 0
3 years ago
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