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3 years ago

PLEASE HELP URGENTLY! I DONT UNDERSTAND ANYTHING! PLEASE EXPLAIN YOUR ANSWER!

Mathematics

1 answer:

podryga [215]3 years ago

5 0

Segments BA and CA are drawn perpendicular to two chords. The segments are congruent, so that makes the two chords congruent (they are the same distance from the center of the circle). So segments GF and HE are congruent.

In the second problem, it helps to ignore the pieces of information you don't need. Angle GET is formed by two secants, IE and NE. I've attached a diagram that shows the angle you're trying to find and its TWO intercepted arcs. A fact about circles is that if the angle is formed by two secants (their intersection is outside the circle), the measure of the angle is half the DIFFERENCE of the measures of the intercepted arcs.

The measure of angle GET = 1/2 (74 - 18) = 1/2(56) = 28 degrees.

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Write in slope-intercept form an equation of the line that passes through the points (−1,12) and (1,2).

zzz [600]

Answer:

$y=-5x+7$

Step-by-step explanation:

step 1

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have

the points (−1,12) and (1,2)

substitute

$m=\frac{2-12}{1+1}$

$m=\frac{-10}{2}$

$m=-5$

step 2

we know that

The equation of the line in slope intercept form is equl to

$y=mx+b$

where

m is the slope

b is the y-intercept

we have

$m=-5$

$point\ (1,2)$

substitute in the linear equation and solve for b

$2=-5(1)+b$

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$y=-5x+7$

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3 years ago

Explain why ΔABC cannot be shown to be congruent to ΔCDA.

igomit [66]

There isn't enough info to prove the triangles to be congruent or not. So we can't say for sure either way.

We have angle CAD = angle ACB given by the arc markings, and we know that AC = AC due to the reflexive theorem. However we are missing one third piece of information.

That third piece of info could be....

AD = BC which allows us to use SAS
angle ACD = angle CAB which allows us to use ASA
angle ABC = angle CDA which allows us to use AAS (slight variation of ASA)

Since we don't know any of those three facts, we simply don't have enough information.

side note: If AB = CD, then this leads to SSA which is not a valid congruence theorem. If we had two congruent sides, the angle must be between the two sides, which is what AD = BC allows.

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