Answer:
D) (-2, -3)(-4, -3)(-2, -9); because corresponding pairs of sides and corresponding pairs of angles are congruent
Step-by-step explanation:
For triangles to be congruent, it is not enough that corresponding angles are congruent. In addition, there must be at least one pair of corresponding sides that are congruent. (Then all pairs will be congruent.)
The points listed in choices B and D are points that form a right triangle with leg lengths 2 and 6. However, choice B only refers to the angle measures, and not the sides. Choice D is the correct one.
Answer:
A = 1701,38 ft²
Dimensions :
x (north and south sides ) = 38.89 ft
y ( east and west sides ) = 43,75 ft
Step-by-step explanation:
North and south (sides of same length) equal "y" cost (4 + 5 ) = 4,5 $/ft²
East and west (sides of same length) equal "x" cost ( 3 + 5 ) = 4 $ /ft²
Equation of cost is
C = Cost of (north + south ) + Cost (east + west)
C = 2 * 4,5 * x + 4*2* y
C = 9x + 8y
700 = 9x + 8y ⇒ y = ( 700- 9x)/ 8
A = x*y
A(x) = x * ( 700 - 9x ) /8
A(x) = ( 700 x -9x²) / 8 A´(x) = ( 700 - 18 x )/ 8 A´(x) = 0
( 700 - 18 x )/ 8 = 0 ⇒ 700 - 18 x = 0 ⇒ x = 700/18
x = 38.89 ft
y = ( 700 - 9x )/8 ⇒ y = 349.99 / 8 ⇒ y = 43.75
And maximum ara is
A = x*y A = 38.89 * 43.75 = 1701,38 ft²
Dominic is looking over his spending pattern for the past week to try to determine how much money he had on Sunday. On Monday, his credit is $100. On Wednesday, his credit is $112. On Friday, his debit is $83. On Sunday, his debit and credit are $100 and $62 respectively.
First you have to turn 8/10 and 1/3 into equivalent fractions. 8/10 turns into 24/30 and 1/3 turns into 10/30. 24/30 minus 10/30 equals 14/30. After u simplify 14/30 you get 7/15.
Your answer is 7/15
Answer:
.1, .17, .55, .80
Step-by-step explanation:
