The figure shown has two parallel lines cut by a transversal: A pair of parallel lines is shown, crossed by a transversal. Angles are identified as 1, 2, 3, 4, 5, 6, 7, and 8. Angles 1-4 are on the top line clockwise from upper left. Angles 5-8 are on the lower line clockwise from upper left. Use the figure to complete the sentence. (4 points) ∠7 and ____ are alternate exterior angles. a ∠2 b ∠1 c ∠5 d ∠8

Answer:

MN = 4

Step-by-step explanation:

Given that L, M, N are collinear,

LN = 9,

MN = 4x

LM = 5x

Required:

Length of MN

SOLUTION:

To calculate the numerical length of MN, we need to find the value of x.

To find the value of x, generate an equation to solve for x as follows:

[tex] LM + MN = LN [/tex] (segment addition postulate)

[tex] 5x + 4x = 9 [/tex] (substitution)

Solve for x

[tex] 9x = 9 [/tex]

Divide both sides by 9

[tex] \frac{9x}{9} = \frac{9}{9} [/tex]

[tex] x = 1 [/tex]

MN = 4x

plug in the value of x

MN = 4(1) = 4

Answer:

2^5 and 3^4

Step-by-step explanation:

you can see there are 5 2's and 4 3's. so it would be 2^5 and 3^4

Answer:

1. B

2.B

3.C It could also be d because when you round it it would give you      

        8.7. Also no one leaves a section of their fence not painted. (8.6602540378443864676372317075294) UNROUNDED

Step-by-step explanation:

Answer:

11. 9hrs

12. 5hrs 35min

13. 3hrs 48 min

Step-by-step explanation:

Makes it a bit easier if you convert to 24 hr time.

11. 10 - 19 is 9hrs

12. 545-1120 is 11-5 20-45 -> 6hrs -25min -> 5hrs 35min

13. 1800 - 2148 is 21-18 48-00 -> 3hrs 48 min

Answer:

11. 9h

12. 5h 35 min

13. 3h 48min

Step-by-step explanation:

11.

here,

time elapsed = ∆t = final time - initial time

= 7 pm - 10 am

= (12+7) h - 10 h {turn pm into am by adding 12 and converting both into hour and min}

= 9 h

12.

similarly,

time elapsed = ∆t = final time - initial time

= 11 h 20 min - 5 h 45 min

= 5 h 35 min

13.

similarly,

time elapsed = ∆t = final time - initial time

= 9 h 48min - 6 h

= 3h 58min

I HOPE IT HELPED YOU!

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▹ Answer

21

▹ Step-by-Step Explanation

3/13 x 91/1

91/13 = 7

3/1 = 3

3 * 7 = 21

Hope this helps!

CloutAnswers ❁

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Answer:

7  1/24

Step-by-step explanation:

1 2/3+5 3/8=?

first you need to find the least common multiple between 2/3 and 3/8.

the lcm would be 24, so 24 would be your new denominator for both fractions, but the numerators will change to how much you just multiplied each denominator by to get 24. 8x3 is 24, so you would multiply 3x3 to get the new numerator: 9. 3x8 is 24, so you multiply 2x8 to get the new numerator for that fraction:16.

so your new fractions are 1 16/24 + 5 9/24

now you add 16+9=25 (25/24, which becomes 1  1/24), so then you have another whole number: +1, and you add it to 5+1, so no it's 5+1+1=7

so the answer would be 7 1/24

Answer:

uh

Step-by-step explanation:

Answer:

me mo miknWhich of these expressions demonstrates the identity property? Check all that apply.Which of these expressions demonstrates the identity property? Check all that apply.Which of these expressions demonstrates the identity property? Check all that apply.

Step-by-step explanation:

Answer:

one person one number

Step-by-step explanation:

Answer:

One person One number

Step-by-step explanation:

You probably don't need my answer but yeh

Answer:

-38

Step-by-step explanation:

You replace the x with 5.

turns it into -3 (5)^2+9(5)-8

-3(25)+45-8

-75+45=-30-8=-38

-3(5)^2+9(5)-8

answer:

-38

Answer: The coordinates of point S is (14,-10).

Step-by-step explanation:

Midpoint of line joining [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by :-

[tex](x,y)=(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})[/tex]

Given, The coordinates of point T are (0,2). The midpoint of ST is (7, -4).

Let (a,b) be the coordinates of point S.

Then,

[tex](7,-4)=(\dfrac{0+a}{2},\dfrac{2+b}{2})\\\\\Rightarrow\ 7=\dfrac{a}{2},\ \ \ -4=\dfrac{2+b}{2}\\\\\Rightarrow\ a=7\times 2= 14, \ \ 2+b= 2\times-4 =-8\\\\\Rightarrow\ a=14,\ \ \ 2+b=-8\\\\\Rightarrow\ a=14, \ b= -8-2=6--10\\\\\Rightarrow\ a=14,\ b=-10[/tex]

Hence, the coordinates of point S is (14,-10).

Answer:

angle NMP = 63°

angle LMP = 74°

Step-by-step explanation:

Let angle NMP be x° . It's given that angle LMP is 11° more than angle NMP. So, angle LMP = x° + 11°

But angle NML = 137°.

So,

angle NMP + angle LMP = 137°

=> x° + x° + 11° = 137°

=> 2x° + 11° = 137°

=> 2x° = 137° - 11°

= 126°

=> x° = 126/2 = 63°

angle NMP = 63°

angle LMP = 63 + 11 = 74°

Answer:

The final balance is $78,243.04.

The total compound interest is $20,243.04.

Step-by-step explanation:

Year      Principal Yearly Interest    Total Interest    Total Balance

0            58,000 0                          0                        58,000

1             58,000 2,967.39             2,967.39           60,967.39

2            58,000 3,119.21                6,086.6             64,086.6

3            58,000 3,278.79              9,365.4             67,365.4

4            58,000 3,446.54              12,811.94           70,811.94

5            58,000 3,622.88              16,434.82         74,434.82

6            58,000 3,808.23              20,243.04        78,243.04

Answer:

j  -4,-3  K  -2,0  L  2,-3  M  -1,-4

Step-by-step explanation:

x = 6

AB = 11

BC = 22

Hope that helps :)

Answer:

-18

Step-by-step explanation:

3(-4) - 6

-12 - 6 = -18

Answer:

total dogs= 2

total pets= 2+4+5=11

so, the ratio of dogs to all pets = 2/11

Step-by-step explanation:

Based on the number of all animals in the shop as well as the number of dogs, we can infer that the ratio of dogs to the others is 2 : 11

The first thing to do is to find the total number of animals in the shop:

= Dogs  + Cats + Hamsters

= 2 + 4 + 5

= 11 animals

The ratio of dogs to the rest of the animals is:

= Number of dogs : Number of animals

= 2                          :        11

= 2 : 11

In conclusion, the ratio is 2:11.

Find out more at https://brainly.com/question/20588583.

Answer: 5ah+5bh

Step-by-step explanation:

all i did was foil! hope that helps!

Answer:

multiply a term by 2 and add 1 to get the next term

Step-by-step explanation:

3×2=6 +1 =7

7×2=14+1= 15

15×2=30+1=31

Answer:

  Multiply a term by 2 and add 1 to get the next term

Step-by-step explanation:

The first differences of terms are ...

  7 -3 = 4

  15 -7 = 8

  31 -15 = 16

We notice that these increase by a factor of 2. This signifies an exponential sequence. That factor (2) will be the value that each term is multiplied by to get the next. This eliminates the choices "add 4" and "multiply a term by 3 ...".

Trying the remaining two choices, we find that the one that fits is the one shown above.

  3+7 ≠ 15, so "the sum of the two preceding terms" doesn't work

  2(3) +1 = 7; 2(7) +1 = 15; 2(15) +1 = 31, so "multiply by 2 and add 1" works fine

Answer:

Hey there!

2(x-1)(x-6)

2x-2(x-6)

2x^2-2x-12x+12

2x^2-14x+12

Choice B is correct.

Let me know if this helps :)

Answer:

im positive it = 6

Step-by-step explanation:

Answer:

8695.5

Step-by-step explanation:

you round the four to a five because the number behind it is greater than or equal to 5

hope that helps

Answer:

yes

Step-by-step explanation:

5(3) + 2(4) = 23 or you could just graph it to see.

Answer:

the next terms would be 72 and 60

The next two term are :72 and 60

To get the next two term we are going to substract 1/2, 1/3, 1/4, 1/5, 1/6 from each sequence.

Sequence:360, 180,120,90

360-1/2×360

=360-180

=180

180-1/3×180

=180-60

=120

120-1/4×120

=120-30

=90

90-1/5×90

=90-18

=72

72-1/6×72

=72-12

=60

Inconclusion The next two term are :72 and 60

Learn more here:

https://brainly.com/question/19127951

Answer:

LEON (2.1), JASON (2.4), ASHLEY (2.5), MIKA (2.6)

Step-by-step explanation:

To order their perimeter from the least to the greatest, express all perimeters in decimals:

LEON = √17 - 2 = 4.1 - 2 = 2.1

MIKA = 1 + π/2 = 1 + 22/7*½ = 1 + 22/14 = 1 + 1.6 = 2.6

JASON = 12/5 = 2⅖ = 2.4

ASHLEY = 2.5

From least to greatest, we have: LEON (2.1), JASON (2.4), ASHLEY (2.5), MIKA (2.6)

answer: after 6 months

Answer:

71

Step-by-step explanation:

Start solving using simultaneous equation,From there, we have r to be 3 and t to be 7

Answer:a) 9 x t

b) x - 1/2c

c) m + 7.1

Step-by-step explanation:

STEP 1

Giving the algebraic expression  becomes

A- The product of 9 and a number t. =       9 X t

B. The difference of a number x and 1/2 c=     x  -  1/2 c

C.   The sum of a number m and 7.1  =      m + 7.1

Step 2

The answers are

a) 9 x t

b) x - 1/2c

c) m + 7.1