Answer:
∠ 1 = ∠ 3 = 33°
Step-by-step explanation:
∠ 3 and ∠ 6 are same- side interior angles and are supplementary , thus
∠ 3 + ∠ 6 = 180° , that is
∠ 3 + 147° = 180° ( subtract 147° from both sides )
∠ 3 = 33°
∠ 1 and ∠ 3 are vertical angles and congruent, thus
∠ 1 = ∠ 3 = 33°
Answer:
The answer is C.
Step-by-step explanation:
You have to divide it by 2 :
∠XYZ = 148° ÷ 2
= 74°
<h3>Given</h3>
1 (female) pharmacist counting prescriptions at the end of the day
(prescriptions for antibiotics) = (7/4)×(prescriptions for tranquilizers)
33 = (prescriptions for tranquilizers) + (prescriptions for antibiotics)
<h3>Find</h3>
The number of (prescriptions for tranquilizers)
<h3>Solution</h3>
Let <em>x</em> represent the number of <em>prescriptions for tranquilizers</em>. Then the number of prescriptions for antibiotics is (7/4)x, and the total number of prescriptions is
... 33 = x + (7/4)x . . . . . . . . . . put the given information in the given relation
... 33 = (4/4)x + (7/4)x . . . . . . rewrite 1 as 4/4 so we can add to 7/4
... 33 = ((4+7)/4)x = (11/4)x . . . simplify
... 33×(4/11) = (4/11)×(11/4)x . . . multiply by the reciprocal of the coefficient of x
... 12 = x . . . . . . . . . . . . . . . . . simplify
The pharmacist had 12 prescriptions for tranquilizers.
The pharmacist had 33-12 = 21 prescriptions for antibiotics.
There was 1 pharmacist and 33 prescriptions.
Answer:
Domain= [0, 13]
Step-by-step explanation:
Domain refers to the possible input values on the x-axis.
