Answer:
b=16
Step-by-step explanation:
Formula~ 1/2*b*h
1/2*15*b=120
7.5b=120
b=120/7.5
b=16
(you can substitute the value to check-i've done it below)
1/2*16*15=?
if you work it out, the ans will be 120, therefore the ans is correct!
There's several rules you need to know. So it gave you 2 angles, 118 and 108.
One rule is that a straight line equals 180, so angle n must equal (180-118=62). Same goes for a, (180-108=72) It tells you with that little square that the angle up top equals 90 degrees. So, every angle near it that forms a straight line must be 90 because (180-90=90)
Another rule is that triangles add up to 180, since you know a is 72, and now you know that the angle above it is 90, you do 180-90-72=k. So, k=18 degrees. Since these are all parallel lines, g=j+h (another rule) Which is why you'd know c is 108 and g is 108. Angle below 108 must be 72. 108+72=180. There's another rule! A parallelogram must add up to 360. The diagonal angle from c is also 108 and e equal 72. Makes sense because they add up to 360 now. (If they're diagonal from each other they're equal if they're on parallel lines, and they are.)
Here's another one, c=m+n because it's a rule... We already knew b equals 108 so that's another way we would've figured m+n is 108. Due to the previously discussed rule, you know the angle under b is 72, so you know the angle under g is 72 (parallel lines...)
So essentially, all you have to do is know the rules to find these angles. Angles that form a straight line equal 180. A triangle equals 180. A parallelogram equals 360. If the lines are parallel, the angles corresponding to each other are the same angle. Angles formed on the parallel lines that make a parallelogram have equal angles diagonal from each other. The little box equals 90 degrees.
Oh, and n=p because they're on parallel lines. That might help. There's too much to type to you, so I hope that summary helped.
Answer:
The intersection region shown in the graph attached is the solution of the system of inequalities.
Step-by-step explanation:
2 distinct but intersecting lines
First change the fraction to a decimal by multiplying both sides by 2. 49 times is 98. Therefore, you have to put it as 0.98. Now you put the 686 in place of the 0. The final answer is 696.98.