In a word processing document or on a separate piece of paper, use the guide to construct a two column proof proving that lines l and m are parallel. Angles 1 and 2 are supplementary by definition. Upload the entire proof below.

Given:
∠1 and ∠2 are supplementary angles
Prove:
l || m



STATEMENT REASON
1.∠1 and ∠2 are supplementary angles 1. Given
2. m∠1 + m∠2 = 180° 2.
3. ∠1 and ∠3 are supplementary angles 3. Exterior sides in opposite rays
4. 4.
5. m∠1 + m∠2 = m∠1 + m∠3 5.
6. 6.
7. l || m 7.

Answer:

3. (X-6)(X-6)

4a - 14 = 7a - 8

4a - 7a = 14 -8

-3a = 6

a = 2

ok done. Thank to me :>

Answer:

a= -2

Step-by-step explanation:

4a -14 = 7a -8

Subtract 7a from both sides

-3a -14= -8

Add 14 to both sides of equation

-3a = -8 +14

Add -8 and 14

-3a = 6

Divide each term by -3

a = -2

Answer:

[tex]\frac{p^2-25}{p^2-10p+25}[/tex]

We can factorise the numerator with the difference of squares formula:[tex]x^2-y^2=(x+y)(x-y)[/tex]

-----------------------------

[tex]\frac{p^2-5^2}{p^2-10p+25} =\frac{(p+5)(p-5)}{p^2-10p+25}[/tex]

Now we can factorise the denominator:

[tex]\frac{(p+5)(p-5)}{p^2-10p+25} =\frac{(p+5)(p-5)}{(p-5)^2}[/tex]

[tex]\frac{(p+5)(p-5)}{(p-5)^2} =\frac{(p+5)(p-5)}{(p-5)(p-5)}[/tex]

Cancel out the common factor of (p-5):

[tex]\frac{(p+5)(p-5)}{(p-5)(p-5)} =\frac{(p+5)}{(p-5)}[/tex]

The linear function that can be used to model this relationship is:

y = -0.27x + 23

A linear function is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

Let P(x) represent the percentage of total  spending x years after 1950.

Since In 1950, the group spent 23% of their budget on food, hence b = 23.

Also, this has been decreasing at 0.27% per year. Hence m = -0.27.

The linear function that can be used to model this relationship is:

y = -0.27x + 23

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Answer:

I would say its a 16.5 %

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

(3z - 1) when z = 6

Let's plug in 6 into the equation (3(6)-1)

Now we multiply the parenthesis (18-1)

Now we subtract (17)

So the answer is 17!

Answer:

P = 83 in

Step-by-step explanation:

For this one, all we need to do is substitute 7 for x and 4 for y:

3x + y = ?

3(7) + 4 =?

21 +4 = ?

21 + 4 = 25 in.

Now for the next one:

4y = ?

4(4) = ?

4(4) = 16

Now we solve the final side:

6x = ?

6(7) = ?

6(7) = 42

Now to find P, we must add them all together:

25 + 16 + 42 = 83

Therefore P = 83

Answer:

A) P = 83

Step-by-step explanation:

-=======================-

3x + y

3(7) + 4 =

21 + 4 =

25

-=======================-

6x

6(7)

42

-=======================-

4y

4(4)

16

-=======================-

25 + 16 + 42 = 83

Hope this helps.

Answer:

Step-by-step explanation:

Let's find the diagonal measures using Pythagorean and compare:

and

Find the ratio of diagonals:

Answer:

vtdOveractivity of the pituitary gland is called hyperpituitarism. Several disorders related to an overactive pituitary gland can occur.

...

Symptoms may include:

Nervousness.Rapid or irregular heartbeat.Weight loss.Fatigue.Muscular weakness.

The amount invested in each stock, the stock interest rate and the

duration of the investment, determines the interest.

Reasons:

Let X represent the sum of the amount Brian invested, we have;

Amount invested in stock paying 5% dividend = [tex]\dfrac{X}{2}[/tex]

Amount invested in stock paying 9% dividend = [tex]\dfrac{X}{2}[/tex]

Total annual interest = $420

Required:

The amount invested in the stocks

Solution:

The amount invested is found as follows;

[tex]\dfrac{X}{2} \times 5\% + \dfrac{X}{2} \times 9\% = 420[/tex]

0.025·X + 0.045·X = 420

0.07·X = 420

[tex]\displaystyle \mathrm{The \ amount \ invested , \, X} = \frac{420}{0.07} = \mathbf{ 6,000}[/tex]

The amount he invested = $6,000 ($3,000 in each stock)

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Answer:

6.333... is greater

Step-by-step explanation:

6.3 is larger than 6.2

Answer:

6.33333

Step-by-step explanation:

6.29

6.33333

The 3 is greater than the 2.

Hope this helps :)

Answer:

is this ok 4 uh?

hope it helps

Answeryawa ka

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

<STR = <SRT                      Given the markings of the triangle

<STR + <STU = 180            Supplementary angles

(2x - 9) + 7x = 180               Remove the brackets

2x - 9 + 7x = 180                 Combine

9x - 9 = 180                         Add 9 to both sides

9x = 180 + 9                        Combine

9x = 189                              Divide by 9

9x/9 = 189/9

x = 21

Answer:no they are not

Step-by-step explanation:

As all angles are 60∘ each and given all sides are equal then it can be said as congruent.

Answer:

no

Step-by-step explanation:

Answer:

126/1=126

Step-by-step explanation:

630:5 as a fraction would be 630/5.

630/5 simplified would be 126/1.

Hope this helps :)

Answer:

630:5 would be 126:1

Step-by-step explanation:

To solve this we would divide 630 by five giving us 126, and divide 5 by 5 giving us one

Now we have 126:1, or 126 km/hour

Answer:

469 iPads were donated.

Step-by-step explanation:

The school purchased 396 iPads in total: 300+96

Now, you subtract how many the school purchased from the total amount of iPads to see how many iPads were donated: 865-396 = 469

Answer:

AC=14

X=10

Y=1

Hoped this helped!

Step-by-step explanation:

DE is half of BC, therefore x=10. AE and EC have to be the same length, which is 7. SO, y=1 and x is 10.

Answer:

Random Assignment

Step-by-step explanation:

I assume the integral is supposed to be

[tex]\displaystyle \int_C z^2\,dx + x^2\,dy + y^2\,dz[/tex]

Parameterize C by

[tex](x(t),y(t),z(t)) = (1-t)(1,0,0) + t(5,1,2) = (1+4t, t, 2t)[/tex]

with 0 ≤ t ≤ 1, and dx = 4 dt, dy = dt, and dz = 2 dt. Then the line integral is

[tex]\displaystyle \int_C z^2\,dx + x^2\,dy + y^2\,dz = \int_0^1 (2t)^2(4\,dt) + (1+4t)^2\,dt + t^2(2\,dt)[/tex]

[tex]\displaystyle \int_C z^2\,dx + x^2\,dy + y^2\,dz = \int_0^1(1+8t+34t^2)\,dt[/tex]

[tex]\displaystyle \int_C z^2\,dx + x^2\,dy + y^2\,dz = 1+4+\frac{34}3 = \boxed{\frac{49}3}[/tex]

Answer:

Below in bold.

Step-by-step explanation:

The length of the side opposite to theta:

= √(24^2-21^2)

=  √(24-21)(24+21)

= √(135)

= 3√15.

sin theta = 3√15/ 24 = √15/8.   csc theta = 1/√15/8 = 8/√15 =  8√15/15.

cos theta = 21/ 24 = 7/8.            sec theta = 8/7.

tan theta = 3√15/21 = √15/7.     cot theta = 7/√15  = 7√15/15.

Answer:

3 baskets and 6 oranges, 9 pears, 4 bananas

Step-by-step explanation:

the common denominator is 3

Answer:

2 paisa per rupees per month

So rate= 2%

Answer:

y = 138

Step-by-step explanation:

90 + 4x + 3x + 6 = 180

96 + 7x = 180

7x = 84

x = 12

———

3(12) + 6

36 + 6

42

———

180 - 42 = 138

Answer:

Neither.

Step-by-step explanation:

Manipulate the formulas into slope-intercept form which is [tex]y=mx+b[/tex].

In order for them to be parallel, m needs to be the same. Perpendicular, m for one needs to be the negative reciprocal of the other [tex]m=-\frac{1}{m}[/tex].

Let's see what we get.

(1)

[tex]3x+4y=2\\4y=-3x+2\\y=-\frac{3}{4}x+1/2[/tex]

(2)

[tex]4x+3y=2\\3y=-4x+2\\y=-\frac{4}{3}x+2/3[/tex]

They are reciprocals, but they are both negative. So, they are not the same line, perpendicular, nor parallel.

Also, you can graph these equations on desmos and see easily that they have none of these relationships.

Answer:

B) y = 2x - 3

Step-by-step explanation:

We can determine which equation the line follows by checking the y-intercepts of each equation. The line passes through the point (0, -3) - this is the y-intercept of the line. The y-intercept in an equation is the single value after the slope. So, for example, in a line y = mx + b, b is the y-intercept.

For A, our y-intercept is (0, 2). For B, our y-intercept is (0, -3). For C, our y-intercept is (0, 3). For D, our y-intercept is (0, -2). So which one matches our line? It would be B, since both have a y-intercept of (0, -3).

So, that's our answer. If you need more help, let me know! :)

Answer: B

Step-by-step explanation:

The slope is 2 as it shown rise (2) over run (1)

Y-intercept is -3

Answer:

2.74 m

Step-by-step explanation:

3 m to cm is 300.

Then, 300 cm - 26 cm = 274 cm.

You asked "What is Raju's height in METRES"

So, 274 cm to m is 2.74.

Hope you understand ^^

Answer:

2.74 m

Step-by-step explanation:

Converting centimeter to meter: 26 cm = 0.26 m

3 - 0.26 = 2.74 m

The firework reaches the ground after 6.25 seconds.

A projectile is the curved motion of an object thrown into space under the influence of gravity.

Given that the firework experiences a projectile motion given by the equation:

h = -16t² + 84t + 100

where h is the height after t seconds.

The firework reaches the ground when h = 0, hence:

0 = -16t² + 84t + 100

t = 6.25 seconds.

Therefore the firework reaches the ground after 6.25 seconds.

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