Answer:
B. m ∠ 1 = 90° and m ∠ 2 = 90°
Step-by-step explanation:
For most situations, the conjecture would probably be true, but there is one exception that makes this statement false.
When two right angles are supplementary, none of them is acute.
For an angle to be acute it needs to be lesser than 90°, and for a pair of angles to be supplementary they should add up to exactly 180°.
With a pair of right angles (90° each), their sum adds up to 180° but neither of them are acute.
Therefore, the answer is B. m ∠ 1 = 90° and m ∠ 2 = 90°
Answer:
290
Step-by-step explanation:
To solve this problem you multiply 29 by 100 and then divide the total by 10 as follows:
(29 x 100) / 10
Therefore, you can derive that 10 percent of 290 equals 29.
Note that the answer provided is rounded to the nearest two decimals if necessary.
Answer:
Answer is 12
Step-by-step explanation:
f(g(-2))
=f((-2)^2+2)
=f(6)
=-1/2×6^2+5×6
=12
Answer:
The area is 105.5ft^2
Step-by-step explanation:
Required
The area of the composite figure
The figure can be divided to 2 shapes
(1) Rectangle: Length = 6ft and Width = 8ft
(2) Trapezoid: Height = 5ft (i.e. 8 - 3), Parallel sides = 9ft and 14ft (i.e. 20 - 6)
The area of the rectangle is:
The area of the trapezoid is:
So, the area of the garden is:
Answer:
For 36 movies the cost of both the plans is same.
Step-by-step explanation:
Let us assume foe m movies, both the plans cost same.
Now, PLAN A:
Annual Fee = $45
Cost per movie = $2.50
⇒The cost of watching m movies = m x (Cost of 1 movie)
= m x ($2.50) = 2.5 m
So, the total cost of Plan A = Annual Fee + Cost of m moves
= 45 + 2.50 m
PLAN B:
Cost per movie = $3.75
⇒The cost of watching m movies = m x (Cost of 1 movie)
= m x ($3.75) = 3.75 m
ACCORDING TO QUESTION:
for m movies, Cost of plan A = Cost of plan B
⇒45 + 2.50 m = 3.75 m
or, 3.75 m - 2.5 m = 45
or, m = 45/1.25 = 36
or, m = 36
Hence, for 36 movies the cost of both the plans is same.
