Answer:
64
Step-by-step explanation:
total of a triangle adds up to 180 degrees
so:
76+37=116
180-116=64
Answer:
coefficient of the term of degree 4 in this polynomial is 3
Step-by-step explanation:
Answer:
<h2>There are 5040 different possible sequences.</h2>
Step-by-step explanation:
Three identical notches and four identical bends are required in the sheet metal operation.
In total 7 things are required in the metal operation.
We can think it as we need to put the 3 notches and 4 bends in 7 places.
First, lets put the 3 notches in 3 places.
In order to do so, we need to choose 3 places from the 7 places.
We can choose 3 places in
ways.
The 3 notches can be arrange in 3! = 6 ways.
The 4 bends can arrange in 4! = 24 ways.
Thus, in total
different possible sequences.
Answer:
60
Step-by-step explanation:
y+y+60=180
2y =120
therefore,y=60
The slope of the given line is -4/5. The line perpendicular to that line will have a slope that is the opposite reciprocal. In other words, the perpendicular slope will be 5/4. If it passes through (4, 12), we have an x and a y value to use in y=mx+b. y is 12, x is 4, and we have a slope of 5/4. Filling in accordingly:

and 12 = 5 + b. So b = 7. Rewriting with our new slope and b value,

. And there you go!