9514 1404 393
Answer:
13 square units
Step-by-step explanation:
See the attached figure.
The horizontal dashed line divides the figure into two pieces:
- a triangle 4 wide and 2 high
- a trapezoid 2 high with bases 5 and 4
The appropriate area formulas can be used to find the areas of these. The figure's area will be their sum.
A = (1/2)bh = (1/2)(4)(2) = 4 . . . . square units
A = (1/2)(b1 +b2)h = (1/2)(5 +4)(2) = 9 . . . . square units
The area of the shape is ...
(4 +9) square units = 13 square units
These are correct statements:
<span>- Line segments AB and CD are parallel.
- </span>Since ∠1 and ∠3 are corresponding angles, they are congruent.
These are incorrect statements:
- <span>Since ∠3 and ∠4 are corresponding angles, they are congruent. They are not corresponding angles, they are supplementary meaning they, together, equal 180.
- </span><span>Since ∠1 and ∠2 are corresponding angles, they are congruent. These are also not corresponding, they are supplementary.
- </span><span>Line segments AB and CD are perpendicular. They are not crossing over each other.</span>
- <span>Since ∠1 and ∠4 are alternate interior angles, they are congruent. They are not corresponding, they are supplementary. </span><span>∠1 and </span><span>∠3 are corresponding just like </span>∠2 and <span>∠4. </span>
I feel sorry for Becky and Tommy. The one who didn't come up with x=-10/3 made an error.
first bring 8x to the left and -25 to the right and simplify:
-4x-8x = 25+15 => -12x = 40
x = -40/12 = -10/3
Answer:
- The angle ∠2 = 4x = 4(36°) = 144°
Step-by-step explanation:
We know that when two lines meet or intersect, we get a linear pair of angles.
Linear pairs are basically two adjacent angles that form a line.
The measure of two adjacent angles forming a straight line is 180, meaning they are supplementary.
We are given that <1 and <2 forms a linear pair, and
m∠1 = 4m∠2
It means the angle ∠1 is 4 times the measure of angle ∠2.
Let the angle ∠1 be = x
As the angle 1 is 4 times the measure of angle ∠2, so
The angle 2 will be = 4x
As <1 and <2 forms a linear pair, thus the measure of the sum of <1 and <2 will be 180°, so
x + 4x = 180
5x = 180
divide both sides by 5
5x/5 = 180/5
x = 36°
Therefore,
- The angle ∠2 = 4x = 4(36°) = 144°
Cost per metre = Rs. 5
Total cost = Rs. 2000
Then total length of the fence = Rs.2000/Rs.5
= 400 metre
Total length of the fence = 400 metre