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Gwar [14]
4 years ago
15

if ray NP bisects angle MNQ and measure of angle MNQ= 8x + 12 and measure of PNQ= 78 degrees and measure of angle RNM= 3y -9, fi

nd the values of x and y
Mathematics
1 answer:
blsea [12.9K]4 years ago
3 0
(8x+12)+(3y-9)= 8x+3y+3=78

subtract 3 from both sides

8x+3y=78

subtract 8x from both sides

3y=-8x+78

divide both sides by 3

y=-8/3x+26 or y=-2.666666666x+26

substitute for y

8x+3(-8/3)+26=78

subtract the 26 from both sides

8x+3(-8/3)=52

distribute the 3

8x- 7.99999999998=52

add the -7.999999999998 to bother sides

8x=60

divide both sides by 8

x=7.5

substitute for x

8(7.5)+3y=78

60+3y=78

subtract 60 from both sides

3y=18

divide both sides by 3

y=6

so x=7.5 and y=6

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Solve by substitution -2x+5y=-17 y=-4x+1
Lera25 [3.4K]

Answer:

-2x +5(-4x+1) =-17

-2x -20x+5=-17

-22x+5=-17

-22x=-22

x=1

y=-4(1)+1

y=4+1

y=5

(1,5)

4 0
3 years ago
How do I get the answer for 1 1/2 x 3 x 1 1/9
Mekhanik [1.2K]

\boxed{1 \frac{1}{2}\times 3 \times 1 \frac{1}{9}=5}

<h2>Explanation:</h2>

in this problem we have the following expression:

1 \frac{1}{2}\times 3 \times 1 \frac{1}{9}

So here:

1 \frac{1}{2} \ and \ 1 \frac{1}{9} \ are \ written \ as \ mixed \ fractions

Let's convert them as improper fractions:

1 \frac{1}{2}=1+\frac{1}{2}=\frac{1\times 2+1}{2}=\frac{3}{2} \\ \\ 1 \frac{1}{9}=1+\frac{1}{9}=\frac{1\times9 +1}{9}=\frac{10}{9}

Rewriting our expression:

\frac{3}{2}\times 3 \times \frac{10}{9}=\frac{3\times 3 \times 10}{2\times 9}=\frac{90}{18}=5

<h2>Learn more:</h2>

Simplify: brainly.com/question/10644722

#LearnWithBrainly

3 0
3 years ago
A computer is generating passwords. The computer generates ten characters at random, and each is equally likely to be any of the
7nadin3 [17]

Answer: 0.0386

Step-by-step explanation:

Number of digits = 10

Number of letters in English alphabet = 26

Total number of characters = 10+26=36

Now, if replication is allowed, then the total number of ways to make a ten character password will be :_

(36)^{10}

The number of ways to make a password having all letters :-

(26)^{10}

Now, the probability that the password will contain all letters will be :-

\dfrac{26^{10}}{36^{10}}=0.0386107708316\approx0.0386

Hence, the probability that the password will contain all letters =0.0386

6 0
3 years ago
Which unit would be best for measuring the length of a river?
koban [17]

Answer:kilometers

Step-by-step explanation:

6 0
3 years ago
Maxine can swim 240 meters in 4 minutes. What is Maxine's unit rate?
BabaBlast [244]
Answer: A) 18.2 minutes
B) 4.5 minutes.
Step-by-step explanation:
A) Maxine can mow one lawn in 24 minutes, so the rate of work is:
1/24 of the lawn per minute.
Sammie can mow one lanw in 36 minutes, so the rate of work is:
1/36 of the lawn per minute.
The amount of the lawn that each has left to lawn by the minute x is:
Maxine = 1 -(1/24)*x
Sammie = 1 - (1/36)*x
we want to find the value of x such that:
2*(1 - (1/24)*x) = 1 - *(1/36)*x
which means that the amount that Sammie has left is two times the amount that Maxine has left to mow.
2 - (1/12)*x = 1 - (1/36)*x
2 - 1 = (1/12 - 1/36)*x
1/0.055 = x = 18.2
by the minute 18.2
B) Similar to before, here the rates are:
For Maxine, R = 1/6
For Sammie, R = 1/9
The amount they have left to mow by minute x is:
Maxine = 1 - (1/6)*x
Sammie = 1 - (1/9)*x
We want to solve, similar to before.
2( 1 - (1/6)*x) = 1 - (1/9)*x
2 - (1/3)*x = 1 - (1/9)*x
2 - 1 = (1/3 - 1/9)*x
1 = (2/9)*x
1*9/2 = x = 4.5
So here the solution is 4.5 minutes. Hope this helps
5 0
3 years ago
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