Answer:
m<0 = 50
Step-by-step explanation:
The opposite angles in an isosceles trapezoid are equal, so <T = <A
and <B = <O
We know the sum of all 4 angles has to be 360 since it is a quadrilateral
<T+<A + < B + <O = 360
Substituting what we know, and what we want to know
<T+ <T + <O <+O = 360
Combining like terms
2<T + 2 <0 = 360
2( 130) + 2<0 = 360
260 + 2< O = 360
Subtract 260 from each side
260-260 + 2< O = 360-260
2<O = 100
Divide by 2
2/2<O = 100/2
<0 = 50
Answer:
25 inches^2
Step-by-step explanation:
The formula for the area of a triangle is A = (1/2)(base)(height).
Here the base, b, is 10 inches and the height, h, is 5 inches.
Thus, the area of this triangle is
A = (1/2)(base)(height) = (1/2)(10 inches)(5 inches) = 25 inches^2
Divide by the coefficient of x.
x = 27/47
Answer:
Step-by-step explanation:
1. Blue region. The boundary blue line passes through the points (0,-7) and (3,8), then its equation is
This line is solid, so the sign for the inequality should be with the notion "or equal to".
From the diagram you can see that the origin belongs to the blue region, then its coordinates satisfy the inequality. Thus,
2. Green region. The boundary green line passes through the points (6,-1) and (0,3), then its equation is
This line is solid, so the sign for the inequality also should be with the notion "or equal to".
From the diagram you can see that the origin doesn't belong to the blue region, then its coordinates satisfy the inequality. Thus,
3. The system of linear inequalities that represents these graphs is
Answer: The total change is 21.
Since you want to find the change from the lowest to highest, make it into a subtraction problem. First of all, take the smallest number in front of the largest.
20 -1
Next, add a minus sign in between, your equation should look like this:
20 - (-1) = x
Then, you cancel out the negative signs. After that you solve it
20 - (-1) -> 20 + 1.
Lastly, you add them together.
20 + 1 = 21.
In conclusion, the answer is 21.
