9514 1404 393
Answer:
In step 4, Jim's answer is incorrect.
Step-by-step explanation:
In step 1, Jim swaps the order of addends using the commutative property of addition.
In step 2, Jim uses the distributive property to factor -1 from the final two terms. (The associative property lets Jim move parentheses.)
6.1 +(-8.5 -1.3) . . . associative property
6.1 +(-1)(8.5 +1.3) . . . distributive property
In step 3, Jim has used the properties of real numbers to form the sum of two of them.
In step 4, Jim wrote an answer of 1.1, when the answer should have been -3.7. Jim's answer is incorrect.
__
The descriptive statements about steps 2 and 4 are both true.
Assuming the vertex of the triangle shown is the center of the pentagon, and the line segment shown is an altitude of the triangle:
If we join the center of (the circumscribed circle and of) the pentagon to the 5 vertices, 5 isosceles triangles are formed, all congruent to the one shown in the figure. It is clear that these triangles are congruent, so to find the area of the pentagon, we find the area of one of these triangles and multiply by 5.
The base of the triangle is 22.3 in, and the height is 15.4 ins, thus the area of the pentagon is:
5(Area triangle)=5*[(22.3*15.4)/2]=<span>858.55 (square inches).
Answer: </span>858.55 (square inches).
"The quotient of z and 4"
is the same as saying
"z divided by 4"
z/4
Using rigid motion, both of these triangles will be congruent. The reason is because rigid motions include reflections, translations, and rotations.
None of these transformations will affect the size or shape of the figure, therefore keeping them congruent.
Answer:
30
Step-by-step explanation:
