Answer: ∠R = 137°
<u>Step-by-step explanation:</u>
The opposite angles of a quadrilateral are supplementary (equal to 180°).
Since ∠P and ∠R are opposite angles, their sum is 180°
∠P + ∠R = 180°
y + 3y + 8 = 180
4y + 8 = 180
4y = 172
y = 43
∠R = 3y + 8
= 3(43) + 8
= 129 + 8
= 137
Answer:
16.5
Step-by-step explanation:
So we have the function:
To find f(2.5), substitute 2.5 for x. Thus:
Multiply:
Add:
And we're done!
The more 0 aftef the decimal point, the lesser the number.
Therefore, from least to greatest we have: 2.003, 2.03, 2.3
Answer:
x=1 and y=−1
Step-by-step explanation:
So, for this systems of equation, I'm using the substitution method.
x+4y=−3 and −4x+y=−5
Step: Solve x+4y =−3 for x:
x+4y +−4y =−3+−4y(Add -4y to both sides)
x=−4y−3
Step: Substitute−4y−3 for x in −4x+y=−5:
−4x + y =−5
−4(−4y−3)+y=−5
17y +12=−5(Simplify both sides of the equation)
17y +12+−12=−5+−12(Add -12 to both sides)
17y =−17
17y
17
=
−17
17
(Divide both sides by 17)
y=−1
Step: Substitute−1 for y in x=−4y−3:
x=−4y−3
x=(−4)(−1)−3
x=1(Simplify both sides of the equation)
Answer:
B. $1300
Step-by-step explanation:
The 100 hats remaining in inventory are the first 100 hats purchased in the period, so are 50 hats purchased for $12 each in June, and 50 hats purchased for $14 each in July. The value of this inventory is ...
50($12) +50($14) = $600 +700 = $1300
