Area of the polygon defined by the given points is 62.5 sq units
Step-by-step explanation:
Step 1 :
Let P be the point (-5,0) Q = (0,-5), R = (-15,-20) and S = (20,-15)
We have to to find the area of the polygon PQRS
Step 2 :
The area of polygon given the vertices (x
is given by
Area = mod ( 
) ÷ 2
Where 
is the vertex n's x coordinate , 
is the vertex n's y coordinate
Substituting the corresponding values ,
Area of PQRS = mod ( (25 - 0)+ (0-75) +(300-300) +( 0-75) ) ÷ 2
= mod (25-75+0-75) ÷ 2
= mod (-125) ÷ 2 = 125 ÷ 2 = 62.5 sq units
Step 3 :
Answer :
Area of the polygon defined by the given points is 62.5 sq units
Answer:
Number of Pennies = 30
Number of Dimes = 90
Step-by-step explanation:
Let the number of pennies be p and number of dimes be d
We can write 2 equations and use substitution method to solve.
<u>Total value of all the coins is 9.30:</u>
We can write:
0.01p + 0.1d = 9.30
Note: value of penny is 0.01 and dime is 0.1, in dollars
<u>Number of dimes is 3 times number of pennies:</u>
We can write:
d = 3p
Now putting 2nd equation in first and solving for p:
0.01p + 0.1(3p) = 9.30
0.01p + 0.3p = 9.30
0.31 p = 9.30
p = 9.30 /0.31
p = 30
Now we know d = 3p, so d = 3 (30) = 90
Hence
Number of Pennies = 30
Number of Dimes = 90
They’re similar due to AAA, each triangle is 180 degrees. since both of the triangles had a degrees of 60 i imputed 67 to the left triangle and they both equal each other
Answer:
The prime factorization of the number 24 is 2 × 2 × 2 × 3.
Answer:
40 girls
Step-by-step explanation:
if there r 32 than u know 8 times 4 equals 32. Then u have to multiply 4 on the other side as well. So 10 times 4 equals 40 girls
