Analyze the diagram below and complete the instructions that follow.
find the value of x.
a.√3
b. 3√2/2
c. 3√2
d. 3√3

B. 3√2/2

Step-by-step explanation:

The value of x can be found with the tan rule.

Step 1: Identify the sides as opposite, adjacent and hypotenuse to apply the formula

Opposite = (opposite from angle 45 degrees)

Adjacent = x (between angle 45 degrees and 90 degrees)

Hypotenuse = 3 (opposite from 90 degrees)

Step 2: Apply the tan formula

Cos (angle) = adjacent/hypotenuse

Cos (45) = x/3

√2/2 = x/3

x = √2/2 x 3

x = 3√2/2

Therefore, the correct answer is B; x = 3√2/2

!!

a. turk and mcalister

b. howard, mission, and market

c. yes. since streets end some do not cross yet are not parallel to others. example: mcalister and 5th

step-by-step explanation:

parallel lines are lines which do not intersect ever and look a lot like railroad tracks. turk, mcalister and golden gate are examples of these.

intersect are streets which cross each other and a car on one can reach the other. howard, mission, and market intersect with 6th.

skew lines are lines which neither intersect nor are parallel. these lines exist here because some streets end and never intersect another like mcalister and 5th.

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation: