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Crank
3 years ago
14

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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10 Remainder 38  i think

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Value of h<br> please help me, I don't understand
Greeley [361]

Answer: h = 14.1 ft

Step-by-step explanation:

The given triangle is an isosceles right angle triangle because the two sides or legs of the triangle are equal. To determine h, we would apply Pythagoras theorem which is expressed as

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Q20-23 with steps pls
just olya [345]

20: Let x be the amount of money. If this amount is shared between 8 people, each person will get x/8 dollars. But there actually are 6 people, so everyone is getting x/6 dollars. We know that this difference results in 30 dollars more, so we have

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21: Let M and J be the number of marbles owned by Mike and Judy, respectively. At the beginning, we have

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22: Let x,y,z be the number of $10, $20 and $50 coupon, respectively. We're given:

\begin{cases}x=2y+3\\z=\frac{1}{2}y\\x+y+z=38\end{cases}&#10;We can write the third equation by substituting the expressions for x and z:&#10;[tex]x+y+z=(2y+3)+y+\left(\dfrac{1}{2}y\right)=38

Rearrange as follows:

(2y+3)+y+\left(\dfrac{1}{2}y\right)=38 \iff \dfrac{7}{2}y=35 \iff 7y=70 \iff y=10

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23\cdot 10+10\cdot 20+5\cdot 50=230+200+100=530

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a_1=4\cdot 1+3=7,\quad a_2=4\cdot 2+3=11,\quad a_3=4\cdot 3+3=15

b) We have

a_r = 4r+3=71 \iff 4r=68 \iff r=\dfrac{68}{4}=17

c) 105 is a term of the sequence if and only if there exists an integer k such that

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So, 105 is not a term of the sequence.

8 0
4 years ago
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