Answer:
-3
Step-by-step explanation:
3n-4=-13
+4 +4
3n =-9
3 3
I hope that helped
Step-by-step explanation:
- Since m∠ACM = 90°, then by angle addition, m∠ACP + m∠PCM = 90°.
- Since CP⊥ AM, then by definition of perpendicular, m∠APC = 90°. Since angles of a triangle add up to 180°, that means m∠PAC + m∠ACP = 90°.
- By substitution, m∠PCM = m∠PAC.
- Since m∠PCM + m∠CMP = 90°, then by substitution, m∠CMP = m∠PAC.
- Therefore, by AAA, △ACP and △CMP are similar.
Having proven that the triangles are similar, we can write the proportion:
AP / CP = CP / MP
9 / CP = CP / 16
CP² = 144
CP = 12
Now, we can simply use Pythagorean theorem to find the other sides.
AC² = AP² + CP²
AC² = 9² + 12²
AC = 15
CM² = CP² + PM²
CM² = 12² + 16²
CM = 20
Answer:
Option (3)
Step-by-step explanation:
Option (1).
AB and SE are coplanar.
Incorrect.
AB lies in a plane ABS and SE lies in another plane SEL.
Option (2).
TS and SE intersect at E.
Incorrect.
They intersect at S.
Option (3).
R intersects K at SB.
Correct.
Since line of intersection of planes R and K is SB
Option (4)
AB and BL are perpendicular at B.
Incorrect.
Angle between them is not 90°.
Answer:
≈ 3.6 x 10^1
Step-by-step explanation:
= (6.05 x 3.05) x 10^(5+4) / (4.27 x 1.2) x 10^(4+4)
= 18.4525 x 10^9 / 5.124 x 10^8
= (18.4525 / 5.124) x 10^(9-8)
≈ 3.6 x 10^1
Answer:
Yes
Step-by-step explanation:
The intersection point of 10x+4y=18 and x+9y=19 is (1,2) on a graph.
