Answer:
x = 22°
the angles are: 63° and 117°
Step-by-step explanation:
a linear pair of angles total together to be 180°
so:
3x - 3 + 5x + 7 = 180
combune like terms:
8x = 176
divide both sides of the equation by 8:
x = 22°
the angles are: 63° and 117°
He sold 76 shirts and 24 pants.
Step-by-step explanation:
Given,
Cost of one t-shirt = $20
Cost of one pants = $45
Total items sold = 100
Total sales = 2600
Let,
x be the number of t-shirts
y be the number of pants
According to given statement;
x+y=100 Eqn 1
20x+45y=2600 Eqn 2
Multiplying Eqn 1 by 20

Subtracting Eqn 3 from Eqn 2

Dividing both sides by 25

Putting in Eqn 1

He sold 76 shirts and 24 pants.
Keywords: linear equations, subtraction
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Explain: it’s equals to 20
Answer:

Step-by-step explanation:
∠ABD is the sum of the angles ∠ABC and ∠CBD. In other words:

Substitute in known values:

And subtract. Hence:

In conclusion, ∠ABC measures 34°.
Yes, they are independent event such that occurring the first event “choosing a sophomore” does not affect the probability of occurring the second event <span>“choosing someone who replied ‘Yes’”</span><span />