9514 1404 393
Explanation:
<h3>8.</h3>
An exterior angle is equal to the sum of the remote interior angles. Define ∠PQR = 2q, and ∠QPR = 2p. The purpose of this is to let us use a single character to represent the angle, instead of 4 characters.
The above relation tells us ...
∠PRS = ∠PQR +∠QPR = 2q +2p
Then ...
∠TRS = (1/2)∠PRS = (1/2)(2q +2p) = q +p
and
∠TRS = ∠TQR +∠QTR . . . . . exterior is sum of remote interior
q +p = (1/2)(2q) +∠QTR . . . . substitute for ∠TRS and ∠TQR
p = ∠QTR = 1/2(∠QPR) . . . . . subtract q
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<h3>9.</h3>
For triangle ABC, draw line DE parallel to BC through point A. Put point D on the same side of point A that point B is on the side of the median from vertex A. Then we have congruent alternate interior angles DAB and ABC, as well as EAC and ACB. The angle sum theorem tells you that ...
∠DAB +∠BAC +∠CAE = ∠DAE . . . . a straight angle = 180°
Substituting the congruent angles, this gives ...
∠ABC +∠BAC +∠ACB = 180° . . . . . the desired relation
A) You will need 6 toothpicks.
B) You will need 5 cotton swabs. (rounded up)
Answer:
81
Step-by-step explanation:
To do "how many times greater" problems, you divide. Think how you would answer this: How many times greater is 48 than 6? Dividing the larger 48 by the smaller 6 gives 8. 48 is 8 times greater than 6.
Do the same thing for these two masses.
6 x 10^24 divided by 7.4 x 10^22 is about 81.
The attached image shows a TI-83 display.
Yes there is. i do not know the theorem but I know it's rule. If 2 lines intersect the same line, and they have an equal angle in the same quadrant then they are parallel. This is because their all of their angles would be equal and they are basically the same line but shifted over
Answer:
Step-by-step explanation:
<u>The missing reasons are:</u>
- 1. k. Given
- 2. j. Definition of parallelogram
- 3. d. Definition of linear pair
- 4. b. Linear pair postulate
- 5. e/m. Definition of supplementary
- 6. g. Same side interior angles theorem
- 7. e/m. Definition of supplementary
- 8. a/c. Substitution property of congruence
- 9. i. Subtraction property of congruence
- 10. f. Alternate interior angles theorem
- 11. l. Alternate exterior angles theorem
- 12. h. Angle congruence postulate
