Answer:
111°
Step-by-step explanation:
The two angles are alternate exterior angles, and those types of angles are always congruent if there are parallel lines.
Answer:
The least amount of fabric are 22 square feet
Step-by-step explanation:
we know that
The surface area of a rectangular prism is given by the formula
where
B is the area of the base
P is the perimeter of the base
H is the height of the prism
Let
L ---> the length pf the prism
W ---> the width of the prism
H ---> is the height of the prism
Let
Find the area of the base
Find the perimeter of the base
Find the surface area
therefore
The least amount of fabric are 22 square feet
<span> The coordinates of point P on a coordinate grid are (−5, −6). Point P is reflected across the y-axis to obtain point Q and across the x-axis to obtain point R. What are the coordinates of points Q and R? Q(5, 6) and R(−5, −6) Q(−5, −6) and R(5, 6) Q(−5, 6) and R(5, −6) Q(5, −6) and R(−5, 6). </span><span>
</span>
Answer: the cost per unit of gas is $0.28
Step-by-step explanation:
Let x represent the cost per unit of electricity.
Let y represent the cost per unit of gas.
During one month, a homeowner used 500 units of electricity and 100 units of gas for a total cost of $333. This is expressed as
500x + 100y = 333 - - - -- - -- - -- -1
The next month, 400 units of electricity and 150 units of gas were used for a total cost of $286. This is expressed as
400x + 150y = 286 - - - - - - - - - --2
Multiplying equation 1 by 400 and equation 2 by 500, it becomes
200000x + 40000y = 133200
200000x + 75000y = 143000
Subtracting, it becomes
- 35000y = - 9800
y = - 9800/- 35000
y = 0.28
Substituting y = 0.28 into equation 2, it becomes
400x + 150 × 0.28 = 286
400x = 286 - 42 = 244
x = 244/400 = 0.61
Answer:
16 responses
Step-by-step explanation:
we know that
A geometric sequence, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.
where
a_n----> 
term of the sequence
r ---> is the common ratio
a ---> the first term of the sequence
substitute
For n=12
substitute
