Answer:
I think it is 123 for number 9 i can't see, the other problems
Step-by-step explanation:
Answer: 140 degrees
A straight line is 180 degrees. Since we know one of the angles in the line is 40, we just subtract 40 from 180. So, the measure of angle 1 plus the measure of angle 2 is 140 degrees.
:)
Find the average value:
40 minutes + 50 minutes = 90 minutes
90 minutes/2 = 45 minutes
Together it will take them 45 minutes to clean the house
Answer:
θ = 38°
Step-by-step explanation:
The lower right triangle is congruent to the upper left triangle, so we have θ and 20° being the two acute angles in the triangle. The law of sines tells you ...
sin(θ)/9 = sin(20°)/5
sin(θ) = (9/5)sin(20°)
θ = arcsin(9/5·sin(20°)) ≈ 38°
___
Another solution to the triangle is θ = 180° -38° = 142°. The diagram clearly shows θ as an acute angle, so we take this second solution to be extraneous.
Answer:
Area of parallelogram is 150 square ft
Step-by-step explanation:
Given the parallelogram in the figure whose height is 10 ft and base length is 15 ft.
Area of parallelogram is 
= 
= 150 square ft
now we have to decompose this parallelogram into rectangles and triangles and then to determine the shape.
The given parallelogram KLMN can be decomposed into 2 triangles and one rectangle.
2 right angled triangles KPL and NOM by construction
⇒ 
(∵ KLMN is a parallelogram)
Hence, dimension of triangles are 10 ft, 2 ft and 10.2 ft
Now rectangle KPON with dimension 15 ft and 10 ft because KP and NO are perpendiculars on LM.
