Answer:
Perimeter 
units. Area 12 square units.
Step-by-step explanation:
Perimeter: total distance around the figure.
Distance Formula: the distance between points 
is
The perimeter is the sum of all those segment lengths.
One way to find the area of the figure is to surround it with a rectangle, insert some lines so that the areas you do not want can be found and subtracted from the rectangle's area. (See attached image.)
The area of the large rectangle around the figure is 5 x 4 = 20 square units.
The triangles have areas 1/2 (base) (height):
A. (1/2)(1)(4) = 2 square units
B. (1/2)(3)(1) = 1.5 square units
D. (1/2)(1)(2) = 1 square unit
E. (1/2)(5)(1) = 2.5 square units
Square C. (1)(1) = 1 square unit
Total of all the area you don't want to include:
2 + 1.5 + 1 + 2.5 + 1 = 8 square units
Subtract 8 from the surrounding rectangle's area of 20, and you get the area of the figure is 20 - 8 = 12 square units.
Answer:
70° and 110°
Step-by-step explanation:
It is given that, two parallel lines l and m are intersected by a transversal t.
The interior angles on same side of transversal are (2x−8)° and (3x−7)°.
We need to find the measure of these angles.
We know that, the sum of interior angles of the same side of the transversal is equal to 180°. So,
(2x−8)° + (3x−7)° = 180°
⇒ 5x-15=180°
⇒5x=180°+15
⇒5x=195
⇒x=39
Put x = 39 in (2x−8)°,
(2x−8)° = (2(39)-8)°
=70°
Again put x = 39 in (3x−7)°,
(3x−7)° = (3(39)-7)°
=110°
So, the measure of these angles are 70° and 110°.
Answer:
12 inches per foot.
Step-by-step explanation:
It's just like how the question was stated from above! No need to over think this question. .ω.
Hope this helps!
x + 1 minus StartFraction 4 Over x cubed + 3 x squared + 8
Step-by-step explanation:
Volume of the prism is given by the product of its base area and height. To get the height, divide the volume by the base area
Perform long division of the volume polynomial by the polynomial for base area to get the polynomial for height
x³+3x²+8 √x⁴+4x³+3x²+8x+4
-x⁴+3x³+8x
---------------------------
1x³+3x²+0+4
- 1x³+3x²+8
------------------------
-4
The answer will be : x+1 + -4/(x³+3x²+8)
Learn More
Dividing polynomials : brainly.com/question/11792208
Keywords : volume, rectangular prism, area,height
#LearnwithBrainly
The answer is 20
Hope this helps
