Answer:
P = 4n
Step-by-step explanation:
P = n + n + n + n
If you combine all the like terms you end up with:
P = 4n
Answer:
10x=y
Step-by-step explanation:
Answer:
(x - 43)(x + 3)
Step-by-step explanation:
consider the factors of the constant term (- 129) which sum to give the coefficient of the x- term (- 40)
the factors are - 43 and + 3 , since
- 43 × + 3 = - 129 and - 43 + 3 = - 40 , then
x² - 40x - 129 = (x - 43)(x + 3) ← in factored form
Answer:
.
See the diagram attached below.
Let the chords be AB and AC with common point A.
AD is the diameter. Join B with D and C with D to form two triangles.
We need to prove that AB=AC.
\begin{gathered}In\ \triangle ABD\ and \triangle ACD;\\Given\ that\ \angle BAD=\angle CAD----(condition\ 1)\\since\ AD\ is\ diameter, \angle ABD=\angle ACD = 90^0\\So\ \angle ADB=\angle ADC--------(condition\ 2)\\AD=AD\ (common\ side)-----(condition\ 3)\\ \\So\ the\ triangles\ are\ congruent\ by\ ASA\ rule.\\Hence\ AB=AC.\end{gathered}
In △ABD and△ACD;
Given that ∠BAD=∠CAD−−−−(condition 1)
since AD is diameter,∠ABD=∠ACD=90
0
So ∠ADB=∠ADC−−−−−−−−(condition 2)
AD=AD (common side)−−−−−(condition 3)
So the triangles are congruent by ASA rule.
Hence AB=AC.
Answer:
- 8 and 4: A
- 8 and 6: C
- 8 and 10: B
Step-by-step explanation:
<u>8 and 4:</u>
Multiples of 8: 8, 16, 24
Multiples of 4: 4, 8, 12, 16
<u>8 and 6:</u>
Multiples of 8: 8, 16, 24
Multiples of 6: 6, 12, 18, 24
<u>8</u><u> </u><u>and</u><u> </u><u>10</u><u>:</u>
Multiples of 8: 8, 16, 24, 32, 40
Multiples of 10: 10, 20, 30, 40
