Find the measure of A as indicates in the picture. In case the picture blurs
Top angle = x + 63
Left angle = x + 96
Right angle = x + 149

m∠A = 58°

Step-by-step explanation:

In ΔABC,

m∠BAC = (x + 63)°

m∠ABC = (x + 96)° [Vertically opposite angles]

m∠ACB = (180° - 149°)

             = 31°

By triangle sum theorem,

m∠ABC + m∠ACB + m∠BAC = 180°

(x + 96) + 31 + (x + 63) = 180°

2x + 190 = 180

2x = -10

x = -5

Therefore, measure angle A = (x + 63)

                                               = -5 + 63

                                               = 58°

x= -3

step-by-step explanation:

step 1: simplify brackets

4 - x - 1 = 6

step 2: simpilfy

3 - x = 6

step 3: subtract 3 from both sides

-x = 6 - 3

step 4: simpilfy 6 - 3

-x = 3

step 5: multiply both sides by -1

x = -3

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: