Answer:
this is true
Step-by-step explanation:
a supplementary angle adds up to 180 degrees. two accute angles would equal to around 90 and two obtuse angles would add up to more than 180. two right angles are perpendicular and they could work but since the question asks about acute and obtuse, its true that one angle must be acute and the other must be obtuse for it to add up to 180.
Answer:
The area of the shape is 122.30 cm^2
Step-by-step explanation:
To calculate the surface area, we identify the side shapes
We have this as;
a rectangle that measures 11 cm by 3 cm, a rectangle that measures 3 cm by 6 cm, a rectangle that measures 8 cm by 3 cm, 2 triangles ( base and top) that has a height of 4.3 cm and a base of 11 cm
The area of the rectangles is simply the product of the side lengths
The area of the triangles is the product of the base and the height divided by 2; but since we have 2 exact triangles, we can simply multiply the base and the height to serve as the area of both
Thus, we have the area of the shape as follows;
(11 * 3) + (3 * 6) + (8 * 3) + (4.3 * 11)
= 33 + 18 * 24 + 47.3
= 122.30 cm^2
Answer:
the answers are
m<1 = 65
m<2=25
m<3=115
Step-by-step explanation:
first of all in the triangle
the angles are 90, 25 and an unknown(let be x)
so,
triangle=sum of all sides
180=90+25+x
180-115=x
x=65
now,
to find m<2
m<2+65=90
m<2=25
then,
to find m<1,
m<1+m<2=90(sum of 2 opp interior angle equals the exterior angle)
or, m<1+25=90
m<1=65
again
for m<3,
180(straight line) +m<2 +m<3 =360(complete turn)
180+25+m<3=360
m<3 =360-205
m<3 =155
Answer:
D) -30x^2 -64x -18
Step-by-step explanation:
Given:
f(x) = 6x +2 and g(x) = -5x - 9
f(x).g(x) = (6x + 2) (-5x - 9)
Use distributive property
= 6x(-5x -9) + 2(-5x - 9)
= -30x^2 - 54x - 10x -18
= -30x^2 -64x - 18
Answer: d) -30x^2 -64x -18
Thank you.