3 years ago

Angles P and Q are supplementary. If mZP is 32°, what is the mZQ?

Mathematics

1 answer:

Ratling [72]3 years ago

6 0

Step-by-step explanation:

Supplementary angles add up to 180°

$\therefore m\angle P + m\angle Q = 180° \\ \therefore 32 \degree+ m\angle Q = 180° \\ \therefore m\angle Q = 180° - 32° \\ \huge \purple{ \boxed{\therefore m\angle Q = 148°}}$

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in a change jar, tom has nickels and dimes. the number of nickels is two times the number of dimes and the total amount of money

AleksAgata [21]

N=number of nickles
d=number of dimes

n is 2 times d
n=2d
total money is 1.20
convert to cens
120 cetns

5n+10d=120
n=2d
5(2d)+10d=120
10d+10d=120
20d=120
divide both sides by 120
d=6
6 dimes is answer

answer is A, 6 dimes

8 0

3 years ago

Which of the following number lines represents the compound inequality shown below?

OLEGan [10]

Answer:

I'm not really sure what the question might be asking or if I've been given all the information but this is how you would solve it as (-2,4] meaning any real number between these will give you a real x on the domain.

Step-by-step explanation:

$-4 < 3x + 2 \leqslant 14 \\ - 6 < 3x \leqslant 12 \\ - 2 < x \leqslant 4$