find x, if ∠1 and ∠2 are a linear pair. m∠1 = 20+5x and m∠2 =x+10

Answer:

1=51 3=51

Step-by-step explanation:

So we know since the line are parlle that the angles for each would be idetical

so 6,8,2, and 4 would all have same angle of 129

to find the other angles we would subtract 180 (the degree of a stright line) from 129 getting 51

so now we know that angles 1,3,5 and 7 are 51 degrees

Answer:

m∠2 = 37°

m∠3 = 143°

m∠4 = 37°

Step-by-step explanation:

From the figure attached,

Two arms of the scissors represent he two lines intersecting each other at a point forming pairs of vertical angles ∠1, ∠3 and ∠2, ∠4.

By the definition of vertical angles,

∠1 ≅ ∠3 and ∠2 ≅ ∠4

Since, m∠1 = 143°

Therefore, m∠1 = m∠3 = 143°

m∠1 + m∠2 = 180° [Since linear pair of angles are supplementary]

143° + m∠2 = 180°

m∠2 = 180° - 143° = 37°

Therefore, m∠2 = m∠4 = 37°  

Answer:

Y=8

ST=31

RT=81

Step-by-step explanation:

;)

Answer: 8,545

Step-by-step explanation:

Answer:

40-8n

Step-by-step explanation:

We distribute the -4 over to the values in the parenthesis to get 40-8n.

Answer:

14.58

Step-by-step explanation:

1.08 is tax multiplied by 15 is 16.20 after tax. 90% of that is 14.58

Answer:

you pay 15.3 dollars

Step-by-step explanation:

15 times 0.1 is 1.5

15 times 0.08 is 1.2

15-1.5+1.2=15.3

Answer:

2 : 9

Step-by-step explanation:

First find the total number

6+4+5+3 = 18

6th graders : total

4 : 18

Divide each side by 2

4/2:   18/2

2 : 9

Answer:

the answer would be X=0.82

Answer:

(p+3)(p-7) = 0

Step-by-step explanation:

Given p=x^2+6p and (x^2+6)^2-21=4x^2+24

We are to substitute the the p = x²+6 into the expression as shown;

The expression (x^2+6)^2-21=4x^2+24 will become

(x²+6)²-21 = 4(x²+6)

On substituting p, the expression becomes;

p²-21 = 4p

Subtract 4p from both sides

p²-21-4p = 4p-4p

p²-4p-21 = 0

p²-7p+3p-21 = 0

p(p-7)+3(p-7) = 0

(p+3)(p-7) = 0

Hence the expression in terms of p is (p+3)(p-7) = 0

Answer:

Step-by-step explanation:

Answer:

First, the function:

y = x

Is:

Positive if x > 0

Negative if x < 0

Now, on another hand, the function y = IxI is:

Positive if x < 0

Positive if x > 0.

Then the only part that changes is the negative side of the domain, and the thing that changes is the sign (the change of sign is equivalent to a reflection over the x-axis or the line y = 0".

Then the correct option is:

"All points for x < 0 are reflected over the x-axis"

I suppose that this is option C, the missing one.

First find the equation of y.

[tex]y=mx+n=\frac{\Delta y}{\Delta x}x+n[/tex]

Find the slope m.

[tex]m=\frac{5-9}{-1-3}=\frac{-4}{-4}=1[/tex].

Pick one point, I'll pick (-3, 9). Insert coordinates in equation then compute n.

[tex]9=1(-3)+n\implies n=12[/tex].

The equation of a line y is:

[tex]y=x+12[/tex].

The perpendicular line [tex]y_{\perp}[/tex] is same like the normal line except its slope m becomes:

[tex]k=-\frac{1}{m}=-1[/tex].

The equation of a perpendicular bisector is thus:

[tex]y_{\perp}=-x+12[/tex].

Hope this helps.

Answer:

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

Step-by-step explanation:

Using the given points, first find the slope:

m = (₂ - y₁) / (x₂ - x₁)

   = (5 - 9) / (-1 - (-3))

   = -4 / 2

    = -2

Find y-intercept by using anyone of the give points and slope from above:

y = mx + b

5 = -2(-1) + b

5 = 2 + b

b = 3

With the m and b, you can make equation of line:

y = mx + b

y = -2x + 3

To find the perpendicular slope, make it opposite and inverse it.

m = -2 becomes 1/2

Regular equation of line:

y = -2x + 3

Perpendicular equation of line:

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

Answer:

a) 3710

b) 3932.6

Step-by-step explanation:

well I'm assuming youre not cheating, but i hope you can understand this because it's pretty crucial beyond math class

anyway it's just

a) 3500 + .06(3500) = 3710

b) (3500 + .06(3500)) + (3500 + .06(3500))*.06 = 3932.6

Answer:

To determine the common ratio of a geometric sequence. You just need to divide any two consecutive terms on it. You can see below that all of them have the same quotient.

1.2 / 1.5 = 0.8

0.96 / 1.2 = 0.8

0.768 / 0.96 = 0.8

.

Decimal form = 0.8

Fraction form = 4/5

.

Check:

1.5 x 0.8 = 1.2

1.5 x 4/5 = 6/5 = 1 1/5 = 1.2

Therefore, the common ratio between successive terms in the sequence? 1.5, 1.2, 0.96, 0.768 is 0.8 or 4/5.

Answer:

It Is 0.8

Step-by-step explanation:

I took the quiz

Answer

the answer is D

Step-by-step explanation:

the square root of 300 is 17.3

so there for it lies between 17 and 18

Answer:

1.75 liters

Step-by-step explanation:

You would add 1.5 and 0.25 together and that would be the total.

Answer:

Step-by-step explanation:

To get the reasonable range of the situation, we will find the minimum value and maximum value of the calories that can be dressed.

The minimum occur at when x = 0

f(0) = 100(0) +50.

f(0) = 50

Hence the minimum value of the calorie is 50.

The maximum value occur at f'(x)

f'(x)  = 100

Hence the maximum value of the calorie is 100

Hence, the reasonable range for the situation is 50 ≤ x ≤ 100

Answer:

a = [tex]\frac{h-r}{b}[/tex]

Step-by-step explanation:

Given

h = ab + r ( subtract r from both sides )

h - r = ab ( isolate a by dividing both sides by b )

[tex]\frac{h-r}{b}[/tex] = a

Answer:

it's a percent of increase

Answer:

The answer is B

Step-by-step explanation:

the cost at store b is 2.00 greater than store a

Answer: b is the answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

2/6 = 1/3  so we just need to know what is more 3/5 or 5/8

3/5 = (3•8)/(5•8) = 24/40

5/8 = (5•5)/(8•5) = 25/40

25 > 24  so 5/8 > 3/5

so Cristiano walked farther

They walk for 1/3 of a day so in a whole day they walk three times the distance

3/5 • 3 = 9/5 = 1 4/5 = 1.8 mile

5/8 • 3 = 15/8 = 1 7/8 = 1.875 mile

Assuming that 1 wiener and 1 bun required to sell 1 hotdog.

Given that there are 12 wieners and 8 buns in 1 packet of each.

Let m be the minimum numbers of hotdogs for no leftover wieners or buns.

So, m must be a number which is divisible by both 12 as well as 8.

The smallest number which is the common multiple of both 12 as well as 8 is the highest common factor (H.C.F.) of 12 and 8 which is 24.

So, m=24

At this pint, note that 24 is the minimum number of hotdogs that students can sell with no leftover wieners or buns. For this, they need 2 packets of wieners and 3 packets of buns.

So, 1 m hotdogs required 2 packets of wieners and 3 packets of buns

But, here the number of hotdogs is between 100 and 150.

The next possible number of hotdog wit no leftover wieners or buns is 48 which is 2m, the next will be 3m, and so on.

In fact, any multiple of m will be divisible by 12 as well as 8, so there will not be any leftover wieners or buns.

So, 24n hotdogs require 2n packets of wieners and 3n packets of buns,

where n is a counting number.

Now, find the multiple of 24 in between 100 and 150,

The first multiple is 24x5=120

So, 120 hotdogs require 2x5=10 packets of wieners and 3x5=15 packets of buns

The second multiple is 24x6=144

So, 144 hotdogs require 2x6=12 packets of wieners and 3x6=18 packets of buns

If the students want to sell more than 300 hotdogs:

The minimum number which is multiple of 24 is 24x13=312, the next number is 24x14=336, and so on

For this n=13, 14, 15, ...

So, they need to buy 2n packets of wieners and 3n packets of buns to sell 24n packets of hotdogs for no leftover.

For the minimum number of 312 hot dogs, they need to buy 2x13=26 packets of wieners and 3x12=36 packets of buns.

Answer:

[tex]\huge\boxed{x=-12}[/tex]

Step-by-step explanation:

In order to solve for this proportion, it’s important to note that this is basically just an equation. Like any other, our goal is to isolate x on one side.

Since we have two fractions, we can multiply both sides by both the denominators (x-3 and x-9). Since one will cancel out the other, we can just multiply both sides by the opposite denominator.

[tex]5(x-9)=7(x-3)\\\\5x-45=7x-21[/tex]

Now we can solve for x.

Subtract 5x from both sides:

[tex]-45=2x-21[/tex]

Add 21 to both sides:

[tex]-24=2x[/tex]

Divide both sides by 2:

[tex]x = -12[/tex]

Hope this helped!

Answer:

[tex]x= -12[/tex]

Step-by-step explanation:

Step 1: Write equation

[tex]\frac{5}{x-3} =\frac{7}{x-9}[/tex]

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

[tex]\frac{5}{-12-3} =\frac{7}{-12-9}[/tex]

[tex]\frac{5}{-15} =\frac{7}{-21}[/tex]

[tex]\frac{-1}{3} =\frac{-1}{3}[/tex]

Answer:

10 definitely. I am right

Answer:

x=-4

Step-by-step explanation:

Answer: -x+9/5

Step-by-step explanation: