Let m∠CLN = x. Then m∠ALM = 3x, and m∠A = 90°-x, m∠C = 90°-3x.
The sum of angles of ∆ABC is 180°, so we have
... 180° = 40° + m∠A + m∠C
Using the above expressions for m∠A and m∠C, we can write ...
... 180° = 40° + (90° -x) + (90° -3x)
... 4x = 40° . . . . . . . . . add 4x-180°
... x = 10°
From which we conclude ...
... m∠C = 90°-3x = 90° - 3·10° = 60°
The ratio of CN to CL is
... CN/CL = cos(∠C) = cos(60°)
... CN/CL = 1/2
so ...
... CN = (1/2)CL
*Hint: In order to find the coordinates, you plug in the coordinates into the rule and solve.
(x, y) → (x + 2, y - 8)
(4, -5) → (4 + 2, -5 - 8)
(6, -13)
The coordinates of B' is (6, -13).
4 is the only factor common among all terms
Answer:
a). AB = 8 in
b). AB = 9.75 in
c). AC = 6.5 in
d). BC = 1.5 in
Step-by-step explanation:
a). Since, AB = AC + CB
Length of AC = 5 in. and CB = 3 in.
Therefore, AB = 5 + 3 = 8 in.
b). Given : AC = 6.25 in and CB = 3.5 in
Therefore, AB = AC + CB = 6.25 + 3.5
AB = 9.75 in.
c). Given: AB = 10.2 in. and BC = 3.7 in.
AB = AC + BC
AC = AB - BC
AC = 10.2 - 3.7
AC = 6.5 in
d). Given: AB = 4.75 in and AC = 3.25 in.
BC = AB - AC
BC = 4.75 - 3.25 = 1.5 in.
Answer:
1 and 3/8 of pizza
Step-by-step explanation:
5/8 + 3/4
3/4 x 2 to get the same denominator as 5/8
5/8 + 6/8 = 11/8
11/8 = 1 3/8
