6 unless it talks about positive to negative then its 2
Combinations of 7 taken 4 at a time.
C (7,4) = 7! /[ 4!(3!)]
7 x 6 x 5 = 210
210 divided by 3 = 70
70 divided by 2 = 35
Answer:
122 Degrees
Step-by-step explanation:
Since we are given that angle 1 and 2 make a linear pair:
angle 1 + angle 2 = 180 degrees ----------------------------(1)
We have also been told that angle 2 is 6 more than twice the measure of angle 1
Which means: angle 2 = (2*angle1) + 6 -------------------(2)
From putting the value of angle 2 in (1) from (2)
<em>angle 1 + 2*angle 1 + 6 = 180</em>
<em>3*angle 1 = 174</em>
angle 1 = 58 degrees -----------------------(3)
From (1) and (3):
<em>angle 2 + 58 = 180</em>
angle 2 = 122 degrees
Therefore, the measure of angle 2 is 122 degrees
<h3>
Answer:</h3>
4, 8, 8
<h3>
Step-by-step explanation:</h3>
At each node, three faces meet. One is square (4 sides); the other two are octagons (8 sides). Hence the tiling can be named with three numbers: 4, 8, 8.
Answer: 31 nickels and 29 dimes
<u>Step-by-step explanation:</u>
Nickels (.05): x
Dimes (.10): y
Value: .05x + .10y = 4.45 → -20(.05x + .10y = 4.45) → -x - 2y = -89
Quantity: x + y = 60 → 1(x + y = 60) → <u> x + y </u> = <u> 60 </u>
-y = -29
y = 29
Next, substitute "29" for "y" into either equation and solve for "x":
x + y = 60
x + 29 = 60
x = 31