I am given that p || q. ∠1 and ∠4 are supplementary angles because they form a linear pair, so m∠1 + m∠4 = 180°. ∠4 and ∠8 are also supplementary because of the Same-Side Interior Angles Postulate, so m∠4 + m∠8 = 180°. You can substitute m∠4 + m∠8 for 180° in the first equation above. The result is m∠1 + m∠4 = m∠4 + m∠8. After subtracting m∠4 from each side, I see that m∠1 = m∠8.

Answer:

Step-by-step explanation:

Given

Natoy's rectangular swimming pool has the length of 3m more than thrice its

width.

Width=w

Length =3w+3

So

Area of the rectangular swimming pool=length×width

216=(3w+3)×w

216=3w^2+3w

3w^2+3w-216=0

3(w^2+w-72)=0

W^2+w-72=0

W^2+(9-8)w-72=0

W^2+9w-8w-72=0

W(w+9)-8(w+9)=0

(W+9)(w-8)=0

Sotwo value of w are 8,-9

We take positive value for rectangular swimming so we take w=8m

Width=8m

Length=3×8+3

= 24+3

=27m

Answer:

Step-by-step explanation:

I needed points ⬛️⬛️

Answer:

X = 9

Step-by-step explanation:

Answer:

Option 2

Step-by-step explanation:

[tex]2 \frac{2}{13} + \frac{15}{13} =[/tex] [tex]2 \frac{2}{13} + 1 \frac{2}{13} = 3 \frac{4}{13}[/tex]

Answer: The answer is option 2. 3 4/13

Step-by-step explanation:

2 2/13 + 15/13 =  2 17/13

17 fits into 13 one time and you're left with 4/13 as a remainder.

Since 17 was able to fit into 13 at least once, you get another whole number making your already existing whole number of 2 into 3.

Thus your answer is 3 4/13. I hope this was a helpful explanation! :)

Answer:

A

Step-by-step explanation:

all triangles equal 180°, it gives you two angles on each triangles. if you add them together and subtract that from 180 you'll get the final angle. the angles on both triangles Are 45,63, and 72. (they add up to 180) and because both triangles have two angels that are the congruent. they are similar by the Angle angle postulate.

Answer:

DE = 15, AB = 6

Step-by-step explanation:

Because the triangles are similar, that means that the sides are proportional to each other. The ratio of CE to AC is 24/8 which is 3. That means that each length of the small triangle is 3 times smaller than the same side on the larger triangle.

Answer: 10

Step-by-step explanation:

(AP3X

Given :

The temperature of a place was 32⁰C on Friday. On Saturday it rose by 4⁰C, then rainfall on Sunday caused the temperature to fall by 7⁰C.

To Find :

The final temperature on Sunday.

Solution :

Temperature on Saturday = initial temperature + 4⁰C

= 32⁰C + 4⁰C

= 36⁰C.

Temperature on Sunday = temperature on Saturday - 7⁰C

= 36⁰C - 7⁰C

= 29⁰C

Therefore, final temperature on Sunday is 29⁰C.

Hence, this is the required solution.

9514 1404 393

Answer:

  3 solutions: 1368, 5364, 9360

Step-by-step explanation:

In order to be divisible by 36, the number must be divisible by 9 and by 4. The number will be divisible by 9 if the sum of its digits is divisible by 9. 36 already has a digit sum of 9, so the two added digits must sum to 9.

The number will be divisible by 4 if the least-significant digit is a multiple of 4. That is, it must be 0, 4, or 8. Then the corresponding most-significant digits must be 9, 5, or 1.

The three solutions are ...

  1368 = 38 · 36

  5364 = 149 · 36

  9360 = 260 · 36

Answer:

0.46666666666...

Step-by-step explanation:

divide 7 by 15 :/

Answer:

.4666666666...

Step-by-step explanation:

7/15

to get 7/15 to a decimal you want to divide 7 by 15

7/15 = .466666...

Answer:

Ok, and it's 9.35423007

Step-by-step explanation:

Answer: 9.35423006695

Step-by-step explanation:

Answer:

constant

Step-by-step explanation:

3 is the coefficient, b is the variable, 4 and 7 are the constants.

Answer:

40

Step-by-step explanation:

Answer:

Step-by-step explanation:

The two sides add up to 12. If the third "side" of the triangle is 12, then 5 and 7 will lie horizontally on 12.

So the maximum value must be less than 12. What's the smallest x could be?

well 5 + something must be > than 7. If they are not larger than 7, then 5 and something will lie on 7 just as it did before. So how big is something?

5 + y > 7

5 - 5 + y > 7 - 5

y > 2

So the range    is  2 < x < 12

How else could you write this?

2 < x

x < 12 is one way.

Answer:

1. (3, -1) 2. (-1, 3) 3. (2, 0) 4. (1, 0)

Step-by-step explanation:

Sorry the graphs' numbers keep changing, but hope this helps!

Answer:

im english

Step-by-step explanation:

Answer:

Holis bella personita:3

Step-by-step explanation:

UwU

Answer:

4/3

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

cause  it is d o.49

Answer:

23°

Step-by-step explanation:

mABD is just the angle of B

9x-22 = 6x -7

3x -22 = -7

3x = 15

x = 5

9(5) -22

45-22

23

Answer:

$1,186.92

Step-by-step explanation:

You multiply $1099 by 8% or 0.08, which is 87.92. Then add those 2

Answer:

I think you are supposed to add the interior + exterior

Answer:

3x

Step-by-step explanation:

5-2=3

HOPE THIS HELPS :)

Answer:

3x

Step-by-step explanation:

Combine like terms: 5-2=3, so 5x-3x=2x.

Hope this helps plz mark brainliest :D

Answer:

3

Step-by-step explanation:

8ab / 2bc

8(3)(1/2) / 2(1/2)(4)

24(1/2) / 1(4)

12 / 4

3

Answer:

3

Step-by-step explanation:

Answer:The vertex is

(0,7)

Sometimes we have problems with the easier questions because it's not exactly in the form we're used to. Normally for a quadratic, you would complete the square to find the vertex. But this quadratic is already in vertex or standard form:

f(x)=−(x−0)2+7

Step-by-step explanation: Hope this helps

Answer:

x= 23

Step-by-step explanation:

180 minus 3 is 87

3 times 23

87

Answer:

[tex]y\leq 4[/tex]

Step-by-step explanation:

Start with the given

[tex]2y\leq 8\\[/tex]

Divide the two on both sides to get

[tex]y\leq 4[/tex]

Answer:

y=≤4

Step-by-step explanation:

Answer:

The slope is 3

y-intercept is -16

Step-by-step explanation:

Let's start by using the slope formula, [tex]m=\frac{y2-y1}{x2-x1}[/tex]

plug in the points for the relating x and y and solve,

[tex]m\frac{5-2}{7-6}[/tex]   this simplifies to [tex]\frac{3}{1}[/tex]  or "3"

we have our slope: 3/1 or "3"

the equation needed to find the y-intercept is y=mx+b

We will need to solve for "b" to figure out the y-intercept.

let's plug in any pair of x and y, i'll just choose (6,2)

2=3(6)+b,   2=18+b,    2-18=18-18+b,     -16=b  

Y-intercept is -16

Given :

Distance between them, D = 14 miles .

Mr. Howard can run 3 miles in 30 minutes.

Ms. Egan can run 4 miles in 30 minutes.

To Find :

Time taken by them to meet.

Solution :

Mr Howard speed, [tex]v_H=\dfrac{3}{0.5}=6\ mph[/tex] .

Mr Egan speed, [tex]v_e=\dfrac{4}{0.5}=- 8\ mph[/tex] . [ Since they run in opposite direction ]

Their relative speed :

[tex]v=v_E-v_H\\\\v = 8-(-6) \ mph \\\\v = 14 \ mph[/tex]

Time taken by them to meet :

[tex]T = \dfrac{14}{14}\ hours\\\\T = 1 \ hours[/tex]

Hence, this is the required solution.