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3 years ago

In a circle, if a diameter bisects a chord (that is not a diameter), then:

Mathematics

1 answer:

mario62 [17]3 years ago

5 0

The chord and the diameter are perpendicular.

Suppose that chord AB is bisected by a diameter, which interserct the chord at point C.

Now, focus on triangles OAC and OBC. They have:

OA = OB because they are both radii
OC in common
AC=BC because the diameter bisects the chord

So, they are congruent. In particular, this means that angles ACO and BCO are equal. Since they sum up to 180, each of them must be 90°, so the diameter is perpendicular to the chord.

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Grace scored 18 out of 22 on a grammar quiz and 60 out of 70 on a social studies test. Did she score a higher percentage on the

Aleonysh [2.5K]

Answer:

18 divided by 22 is around 82

60 divided by 70 is around 86

Step-by-step explanation:

So the social studies test she scored higher

6 0

3 years ago

Read 2 more answers

You roll two dice. What is the probability that the average of the high and low roll is exactly 3, to four decimal places?

Sladkaya [172]

Answer:

0.1111

Step-by-step explanation:

Given that you roll two dice.

the average of the high and low roll is exactly 3,

Since die can show only 1 to 6 we can say average can be 3 in each of the following case.

(1,5) (2,4) (3,3) (4,2) (5,1)

There cannot be any other combination to get average of 3.

Thus favourable events = 4

Sample space will have

(1,1)...(1,6)

(2,1)....

(6,1)...(6,6) i.e. 36

So probability that the average of the high and low roll is exactly 3

= $\frac{4}{36} \\=0.1111$

8 0

3 years ago

If triangle ABC is Congruent with triangle DEF the length of side DE is:

amid [387]

AB is congruent to side DE.

So,

AB= 23 and DE= 23

I hope this helps!
~kaikers

5 0

4 years ago

Read 2 more answers

Find an equation for the line tangent to the curve at the point defined by the given value of d²y/dx².

mars1129 [50]

Answer:

Step-by-step explanation:

Given:

x = 2cost,

t = (1/2)arccosx

y = 2sint

dy/dx = dy/dt . dt/dx

dy/dt = 2cost

dt/dx = -1/√(1 - x²)

dy/dx = -2cost/√(1 - x²)

Differentiate again to obtain d²y/dx²

d²y/dx² = 2sint/√(1 - x²) - 2xcost/(1 - x²)^(-3/2)

At t = π/4, we have

(√2)/√(1 - x²) - (√2)x(1 - x²)^(3/2)

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3 years ago

If you graph y=2x+1 and y=x+1 how many times would the two lines intersect

krok68 [10]

Given that they follow the format for straight lines and are therefore straight lines, they would only intersect once and that would be at (0,1) where they both have a y intersect.

Hope this helps :)

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3 years ago