Answer:
Step-by-step explanation:
Given: m∠1 = 62° and lines t and l intersect
Prove: m∠4 = 62°
Proof:
Statement Reason
m∠1 = 62° Given
m∠1 , m∠2 are supplementary t is a straight line hence linear pair.
m∠4 , m∠2 are supplementary r is a straight line hence linear pair.
Angle 2=180-62 = 118 Definition of supplementary angles
Angle 4 = 180-118 =62 -do-
Angle 1 = Angle 4 Equality property
Hence proved
Answer:
diameter of #12 wire = (80.80
0.001) = 0.08080 inches
Step-by-step explanation:
i) #12 wire is 80.80 mils
ii) Therefore diameter of #12 wire = 80.80 mils.
iii) 1 mil = 0.001 inch
iv) therefore diameter of #12 wire = (80.80
0.001) = 0.08080 inches
We have:
in hungarian:
h = 150 words / min
in polish:
190 words / min
Let:
x: number of words in Hungarian.
y: number of words in Polish.
We have the following system of equations:
(1/150) * (x) + (1/190) * (y) = 5 y = x + 270
The solution is:
x = 300 words
y = 570 words
Therefore the time speaking in each language is:
in hungarian:
(1/150) * (300) = 2 min
in polish:
(1/190) * (570) = 3 min
Answer: in hungarian: 2 min in polish: 3 min
Let
c--------> the total cost
x------> the number of tickets
z------> the cost of one ticket without service fee
we know that

solve for z
combine like terms



The linear function is equal to

therefore
<u>the answer is</u>

Let
x----------> length side large <span>photograph
</span>y----------> width side large photograph and small photograph
<span>Each large photograph has side lengths that are twice the side lengths of each small photograph
</span>so
x/2--------> length side small photograph
we know that
The area of each small photograph is 24 in²
24=(x/2)*y------>24=x*y/2-----> 48=x*y
The area of each large photograph is-----> x*y
therefore
The area of each large photograph is 48 in²
the answer is
48 in²