Given: <2 and <4 are vertical angles. Prove: <2 * <4
Statements Reasons
m2 2 + m23 = 180
mZ3+ m 24 = 180
22 and 24 are vert, angles
22 and 23 are a fear
pair
23 and 24 are a linear
pair
lines m and n intersect at P
m
1
Statements
Reasons
2
4
n
P
3
Assemble the proof by dragging tiles to
the Statements and Reasons columns

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.

24

step-by-step explanation:

the graph shows 30% of students walk. 80 students were questioned, so the number that said they walk is

30% × 80 = 0.30 × 80 = 24

step-by-step explanation:

the true ones are a b and d

answer: x=60