What is the measurement of the highlighted side x? Please help and show steps please :)

Denote the O, A, B, C, D as shown in attached image:

O is center of circle.

OA = OC = OD = radius of circle

=> triangle OAD is isosceles

=> BA = BD = 12.8

Applying Pythagorean theorem:

OB = sqrt(OA^2 - BA^2) = sqrt(15.1^2 - 12.8^2) = 8.0

=> x = OC - OB = 15.1 - 8.0 = 7.1

Hope this helps!

:)

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.

the number of possible outcomes that do not show a 1 on the first spinner and show the number 4 on the second spinner is 2.

spinner 1 spinner 2

1                     1

1                     2

1                     3

1                     4

2                   1

2                   2

2                   3

2                   4   = not 1, and 4

3                   1

3                   2

3                   3

3                   4 = not 1, and 4

only 2 outcomes have passed the given condition.

step-by-step explanation: