△abc is an isosceles triangle with legs ab and ac. △ayx is also an isosceles triangle with legs ay and ax. the proof that △abc ~ △ayx is shown. statements reasons 1. △abc is isosceles with legs ab and ac; △ayx is also isosceles with legs ay and ax. 1. given 2. ab ≅ ac and ay ≅ ax 2. definition of isosceles triangle 3. ab = ac and ay = ax 3. definition of congruency 4. ay • ac = ax • ac 4. multiplication property of equality 5. ay • ac = ax • ab 5. substitution property of equality 6. 6. division property of equality 7. 7. division property of equality 8. ? 8. ? 9. △abc ~ △ayx 9. sas similarity theorem which statement and reason are missing in the proof? ∠a ≅ ∠a; reflexive property ∠x ≅ ∠x; reflexive property ∠abc ≅ ∠ayx; corresponding angles of similar triangles ∠abc ≅ ∠axy; corresponding angles of similar triangles

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

answer: 2530

hope this