Answer:
180, 180, 148, 180, 148
Step-by-step explanation:
The two rules in play here are ...
- the sum of interior angles of a triangle is 180°
- the angles of a linear pair are supplementary (they total 180°)
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The first of these rules answers the first two questions:
- interior angles total 180°
- angles 1, 3, 4 total 180°
We can subtract the measure of angle 1 from both sides of the previous equation to find the sum of the remaining two angles.
- angles 3 and 4 total 148°
The second rule answers the next question:
- angles 1 and 2 total 180°
As before, subtracting the value of angle 1 from both sides of the equation gives ...
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<em>Additional comment</em>
Of course, the subtraction property of equality comes into play, also. For some unknown, X, you have (in both cases) ...
X + 32° = 180°
X +32° -32° = 180° -32° . . . . . . subtraction property of equality
X = 148° . . . . . . . . simplify
In the first case, X is the sum of angles 3 and 4. In the second case, X is angle 2 only.
Answer is B because the red has 2 columns and 7 rows that is how you get 2/7 And the blue has 3 rows and 5 columns making 3/5
If you multiply these together you get the doubled colored (red/blue over the total of squares)
6/35
The other way which most likely I think you should choose this way is D why?? Because there are out of the red are 3 out of 7 rows that are combined with blue and 2 out of 5 of the blue column are combined with red
This makes the 3/7×2/5 = with the 6/35 (combined colors/total)
As a engineer who was mechanical then electrical most buildings, schematics,etc require some form of calculation for some shapes seeing that those shapes are what make up the world. Say for example you need to make something like a mother board pro house knowing it's shape and angle helps make a more accurate structure during the blue printing and build phase. No one just goes in and wings it you need to determine angles for things you don't know that the point of it.
Answer:
A. 30
Step-by-step explanation:
sin theta = opposite side / hypotenuse
sin B = 8/16
sin B = 1/2
Take the arcsin of each side
arcsin sin(B) = arcsin (1/2)
B = arcsin (1/2)
B = 30
