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2 years ago

Help picture below problem 17

Mathematics

1 answer:

mixas84 [53]2 years ago

3 0

Answer:

Step-by-step explanation:

Angle KPJ is going to have the same measure as Angle DPE. This problem is a bit tricky, but I'll try my best to explain it. A straight angle is basically just a straight line, and it equals 180 degrees. Angle FPG is a straight angle.

To find the measure of Angle KPJ, we first have to find the measure of angle DPE, and the way we're gonna do that is add together the other angles in the straight angle (which would be Angle FPD and Angle EPG) and then subtract that from 180 (measure of a straight angle).

That might have sounded a bit confusing, but that's the best way I could explain it. Now, let's add Angle FPD and Angle EPG.

105 + 35 = 140

Now, let's subtract that from 180.

180 - 140 = 40

We now know that the measure of Angle DPE is 40, and since it's equivalent to Angle KPJ, our answer is 40!

I know that was confusing, but I hope it helped a little bit! Have a lovely day!! :)

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What is the equation of a line with a slope of 7 and a point (1, 8) on the line?

Helen [10]

Answer:

$y=7x+1$

Step-by-step explanation:

we know that

The equation of the line into slope intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-intercept

In this problem we have

$m=7$

$point(1,8)$

substitute and solve for b

$8=7(1)+b$

$8=7+b$

$b=8-7=1$

The equation of the line is equal to

$y=7x+1$

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4 years ago

State whether the system is consistent and independent, consistent and dependent or inconsistent.

user100 [1]

Answer:

The correct option is 1.

Step-by-step explanation:

Inconsistent system: If the given system has no solutions, then it is an inconsistent system.

Consistent and independent system: If the given system has only one solutions, then it is an consistent and independent system.

Consistent and dependent system: If the given system has many solutions, then it is an consistent and dependent system.

The given equations are

$x+3y=18$ .... (1)

$-x+2y=7$ ..... (2)

Add both equations.

$x+3y-x+2y=18+7$

$5y=25$

$y=5$

Substitute this value in equation (1).

$x+3(5)=18$

$x+15=18$

$x=3$

The system of equations has only one solution, i.e.,(3,5).

Therefore the given system is consistent and independent. Option 1 is correct.

7 0

3 years ago

Read 2 more answers

Three cards are chosen at random from a standard 52-card deck. What is the probability that they are not all the same color?

rewona [7]

Three cards are selected from a standard deck of 52 cards. Disregarding the order in which they are drawn, the possible outcomes are (52/3). Out of these, how many include all cards of the same color (say red)? There are (13/3) ways in which you can get all 13 red cards.

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3 years ago

Setting StartFraction 7 over 3 EndFraction equal to which ratio would result in a valid proportion?

pochemuha

Answer:

Option C is correct

Step-by-step explanation:

In this question, we are asked to select which of the options have the same value as 7/3

We examine the options one urge other.

Option A

9/49; This is wrong as it cannot be divided further to yield while multiples

Option B

18/42; Dividing through by 6 will yield 3/7 which is not same as 7/3; This makes this option wrong too

Option C

42/18; dividing through by 6 will yield 7/3 which makes this option correct

Option D

49/9; This is a dead end as it cannot be divided further to give whole number multiples

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3 years ago

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I really need help ............!!!!!!

IrinaK [193]

Answer:

49 minutes

Step-by-step explanation:

To find the average time the machine was down per day, we need to add up the total time taken and then divide by the number of days. Since there are 5 days, we have:

$\frac{50 + 30 + 100 + 25 + 40}{5}$

$= \frac{245}{5}$

= 49

So, the average time per day is 49 minutes.

Hope this helped! :)

3 0

3 years ago