All categories

3 years ago

Use the diagram. AB is a diameter and AB perpendicular to CD. The figure is not drawn to scale. Which statement is NOT true?

Mathematics

2 answers:

drek231 [11]3 years ago

8 0

A. The arc length AC is not congruent to arc BD.

Sindrei [870]3 years ago

4 0

Answer:

arc AC is congruent to arc BD

Step-by-step explanation:

By drawing the perpendicular CD we get some congruent triangles, first we have ΔACP = ΔADP.

Thus, since these two triangles are congruent, we have that their sides and angles are congruent.

So, AC = AD

But we also got the congruent triangles ΔCPB and ΔDPB, where we will have congruent angles and sides:

So, ∠PBC = ∠DBP = ∠DBA

Finally, we get the congruent triangles ΔABC and ΔABD where ∠BDA = ∠ACB

Thus the statement which is not true is that arc AC is congruent to arc BD

You might be interested in

Triangle WXY is isosceles. ∠YWX and ∠YXW are the base angles. YZ bisects ∠WYX. m∠XYZ = (15x)°. m∠YXZ = (2x + 5)°. What is the me

ozzi

Answer:

150 degrees

Step-by-step explanation:

I just answered it on edginuty

8 0

2 years ago

Read 2 more answers

Evaluate the expression<br><br> 7x, if x = 11.

Anuta_ua [19.1K]

Answer:

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

You want to place a towel bar that is 10 1⁄4 inches long in the center of a door that is 26 1⁄3 inches wide. How far should you

attashe74 [19]

The bar should be 8 1/24 from the each edge of the door.

We need to subtract 10 1/4 from 26 1/3 to get the fraction of the space not covered by the towel bar.
We also need to divide the difference by 2 because we placed the towel bar in the center of the door.

1st we need to convert the mixed fractions into fractions to perform subtraction.
26 1/3 = ((26*3)+1)/3 = 79/3
10 1/4 = ((10*4)+1)/4 = 41/4

Steps in Subtracting Fractions
Step 1. Make sure the denominator is the same. 3 and 4 are the denominators, they are not the same but they are factor of 12. So,
79/3 must be multiplied by 4 = 79 * 4 / 3 * 4 = 316 / 12
41/4 must be multiplied by 3 = 41 * 3 / 4 * 3 = 123 / 12

Step 2. Subtract the numerators and place them above the common denominator
316/12 - 123/12 = 316 - 123 / 12 = 193 / 12

Before we can simplify the fraction, we must divide it by two to get the measurement of each edge of the door.

Steps in dividing fractions.
Step 1. Get the reciprocal of the 2nd fraction.
1st fraction : 193 / 12
2nd fraction : 2 /1 ⇒ reciprocal 1/2

Step 2. Multiply the 1st fraction to the reciprocal of the 2nd fraction
193 / 12 * 1/2 = 193 * 1 / 12 * 2 = 193 / 24

Step 3. Simplify the fraction.
193 / 24 = 8 1/24

8 0

3 years ago

How do you solve 2-3y >16 as a inequalitie

MrRissso [65]

y<-14/3 is the answer

Step 1: Simplify both sides of the inequality.

−3y+2>16

Step 2: Subtract 2 from both sides.

−3y+2−2>16−2

−3y>14

Step 3: Divide both sides by -3.

−3y

−3

−14

3 0

2 years ago

Marty and Stewart are stuffing envelopes with index cards. They are putting index cards in each envelope. When they are finished

victus00 [196]

Answer:

The required expression is s = m + n

Step-by-step explanation:

Let m be the number of index cards stuffed in the envelopes and n be the number of extra index cards.

Let s be the total number of index cards.

Then, s = m + n represents the number of index cards the boys started with.

For Marty,

He has 15 stuffed envelopes and 4 extra index cards.

So, m = 15, n = 4

Therefore, s = 15 + 4 = 19

Marty started with 19 cards.

For Stewart,

He has 12 stuffed envelopes and 6 extra index cards.

So, m = 12, n = 6

Therefore, s = 12 + 6 = 18

Steward started with 18 cards.

4 0

3 years ago