How many baseball cards does Rob have?
Ask him... hehe
Answer:
The width is 64.3 inches
Step-by-step explanation:
Given
--- diagonal
--- height
Required
Determine the width (w) of the TV
To do this, we make use of Pythagoras theorem which is illustrated as:
![d^2 = h^2 + w^2](https://tex.z-dn.net/?f=d%5E2%20%3D%20h%5E2%20%2B%20w%5E2)
So, we have:
![90^2 = 63^2 + w^2](https://tex.z-dn.net/?f=90%5E2%20%3D%2063%5E2%20%2B%20w%5E2)
Evaluate all squares
![8100 = 3969 + w^2](https://tex.z-dn.net/?f=8100%20%3D%203969%20%2B%20w%5E2)
Collect like terms
![w^2 = 8100 - 3969](https://tex.z-dn.net/?f=w%5E2%20%3D%208100%20-%203969)
![w^2 = 4131](https://tex.z-dn.net/?f=w%5E2%20%3D%204131)
Take positive square roots of both sides
![w = \sqrt{4131](https://tex.z-dn.net/?f=w%20%3D%20%5Csqrt%7B4131)
-- approximated
28 in 2 hours.
14 in 1 hour.
42 in 3 hours.
56 in 4 hours.
Answer/Step-by-step explanation:
Part A:
(6x + 2)° + (8x + 6)° + (7x + 4)° = 180° (angles in a straight line)
Solve for x
6x + 2 + 8x + 6 + 7x + 4 = 180
Add like terms
21x + 12 = 180
21x + 12 - 12 = 180 - 12
21x = 168
21x/21 = 168/21
x = 8
Part B:
Method 1:
m<CFD + m<CFB + m<BFA = 180° (Angles in a straight line)
m<CFD + (6x + 2)° + (8x + 6)° = 180° (substitution)
Plug in the value of x
m<CFD + 6(8) + 2 + 8(8) + 6 = 180
m<CFD + 48 + 2 + 64 + 6 = 180
m<CFD + 120 = 180
m<CFD + 120 - 120 = 180 - 120
m<CFD = 60°
Method 2:
m<CFD = m<AFE (vertical angles are congruent)
m<CFD = (7x + 4)° (substitution)
Plug in the value of x
m<CFD = 7(8) + 4
m<CFD = 60°
GCF or GCM? I’m not sure if you typed it in wrong or not. I’m just making sure