please answer a and b fast
15 marks

Step-by-step explanation:

There are two attachments to this post. The first attachment shows the numbered angles formed through the intersection of the transversal, t, into the parallel lines, m and n, which will be used to determine how each angle relates to other angles.

The corresponding angles in the first attachment are:

∠1 and  ∠5

∠2 and ∠6

∠3 and ∠7

∠4 and ∠8

Corresponding angles have the same measure.

The same-side exterior angles are the pair of angles that are outside the parallel lines, and on the same side of the transversal.  In the first attachment, the same-side exterior angles are:

∠1  and ∠8

∠2 and ∠7

These angles are supplements of each other, meaning that the sum of their measure equal 180°.

Given parallel lines, m and n that are cut by a transversal, t.

The angle that has a measure of  ∠(10x + 5)° is a supplement of ∠(5x + 25)°.  In order to solve for the value of x, we must establish the following equation:

m∠(10x + 5)° + m∠(5x + 25)° = 180°

10x° + 5° + 5x° + 25° = 180°

Combine like terms:

15x° + 30° = 180°

Subtract 30 from both sides:

15x° + 30° - 30° = 180° - 30°

15x° =  150°

Divide both sides by 15:

15x°/15 = 150°/15

x = 10°

Verify whether we have correct value for x by substituting its value into the established equation:

m∠(10x + 5)° + m∠(5x + 25)° = 180°

10(10)° + 5° + 5(10)° + 25° = 180°

100° + 5° + 50° + 25° = 180°

180° = 180° (True statement).

Therefore, we have the correct value for x = 10°.

m∠(10x + 5)°  = 105°

m∠(5x + 25)° = 75°

Alberto has 12 Dimes and 21 Nickels in his pocket.

Dimes value = 0.10$

Nickels value = 0.05$

Let d = number of dimes = 0.10d

Let d+9 = number of nickels = 0.05(d + 9)

Value of the Dimes + Value of the Nickels = total value of the coins

Write the equation:

0.10d + 0.05(d + 9) = 2.25

Distribute:

0.10d + 0.05d + 0.45 = 2.25

0.15d + 0.45 = 2.25

Subtract 0.45 from each side:

0.15d = 1.80

Divide to find the number of dimes.

d = 12

The number of nickels is d +9 = 12 + 9 = 21

Alberto has $2.25 in dimes and nickels in his pocket. He has 12 Dimes and 21 Nickels in his pocket.

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Answer:

y=-2

Step-by-step explanation:

4y=-2

y =-2

Answer:

Exact Form: y = − 1/2

Decimal Form: y = −0.5

Step-by-step explanation:

i am good at math that's all that needs to be explained

Answer:

i thig it is hj

Step-by-step explanation:

jk

Step-by-step explanation:

f(x) = 2x² + 5√(x - 2)

Domain

√(x - 2) ≥ 0

x - 2 ≥ 0

x ≥ 2

x is greater than or equal to 2

Answer: Greater than

Step-by-step explanation:

According to the average, it will take you almost 6 hours to do the climb, therefore it will be possible.

Since Jeremy has heard a lot of people in the club talking about tackling a 950-foot rock formation, and he has set a limit that they won't climb anything that takes longer than 7 hours, so they have enough time to travel to and from the place, to determine if it will be possible to climb a 950-foot rock formation within Jeremy's time constraint, the following calculation must be performed, through cross multiplication, to obtain the average rise time:

Therefore, according to the average, it will take you almost 6 hours to do the climb, therefore it will be possible.

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Answer:

.....

Step-by-step explanation:

Answer:

B <3

Step-by-step explanation:

Answer:

1 in=4 ft

5 in=20 ft

5 x 4=20 ft

1in =4 ft

8 in=32 ft

8 x 4=32 ft

A=L*W

A=32*20

A=640 SQUARE FEET

Step-by-step explanation:

GOOD LUCK

Answer:

They don't need to have parallel lines or right angles. If you think about that, it means that a triangle is a polygon. So are squares, rectangles and, yes, quadrilaterals, parallelograms and trapezoids. They all are closed shapes with many sides, so they're all polygons!

Have a great day!

Brainliest please :)

Answer:

143880000 people have dogs and b.

Step-by-step explanation:

327,000,000 * .44(44 percent) = 143880000

the sample of 437 is much smaller than the entire state of texas, so it is incorrect to assume that the small amount of people is representative of the entire state.

Answer:

Step-by-step explanation:

3)

327 Million → 100%

x → 44%

100x = 44×327

100x = 14388

x = 14388/100

x = 143.88 Million people

4) D

I hope I've helped you.

Answer:

3000

Step-by-step explanation:

Answer:

U= 10 or 11 T=-4 or-3

Step-by-step explanation:

solved using substitution not sure what the formula method is

U+T=7

UT=12

U=12/t

12/t+t=7

12/t=7-t

12=7t-t^2

t^2+7t+12=0

(t+4)(t+3)

t=-4, -3

u-4=7

u=11

u-3=7

u=10

Answer:

yea that's about right. like the square root of 100 would be 10 and the square root of 90 would be about 9.5 dose that make since?

Yes, it is likely that their square roots are also 10 apart because the square root of 100 is 10.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that is +, -, ×, and ÷.

It is given that:

If two numbers are 10 apart.

As we know,

The square root of 100 is 10

√100 = 10

Let us assume the number 90 which is near the 100

The square root of the number 90 is 9.48 which is near or after rounding:

√90 = 9.5

Thus, yes it is likely that their square roots are also 10 apart because the square root of 100 is 10.

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Answer:

yea you have to line it up

Using compound interest, it is found that the correct options are:

1. True.

2. True.

Compound interest:

[tex]A(x) = P\left(1 + \frac{r}{n}\right)^{nx}[/tex]

Item 1:

Then:

[tex]A(x) = P\left(1 + \frac{r}{n}\right)^{nx}[/tex]

[tex]A(x) = 10000\left(1 + \frac{0.05}{2}\right)^{2x}[/tex]

[tex]A(x) = 10000(1.025)^{2x}[/tex]

Hence option 1 is True.

Item 2:

Then:

[tex]A(x) = P\left(1 + \frac{r}{n}\right)^{nx}[/tex]

[tex]A(x) = 10000\left(1 + \frac{0.05}{4}\right)^{4x}[/tex]

[tex]A(x) = 10000(1.0125)^{4x}[/tex]

Hence option 2 is also True.

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Answer:

2 apples

Step-by-step explanation:

he should be more careful next time :)

_________

[tex] \: [/tex]

[tex]3 \frac{1}{2} : 1 \frac{1}{7} [/tex]

[tex] = \frac{3 \frac{1}{2} }{1 \frac{1}{7} } [/tex]

[tex] = \frac{ \frac{7}{2} }{ \frac{8}{7} } [/tex]

[tex] = \frac{7}{2} \times \frac{7}{8} [/tex]

[tex] = \frac{49}{16} [/tex]

[tex] = 49 : 16[/tex]

y=3x+6.

y=3x-5

I did it with a parallel line

Answer:

7

Step-by-step explanation:

Set up an equation using slope intercept form.

y = mx + b

75 = 8x + 15

Solve.

75 = 8x + 15

-15          -15

60 = 8x

7.5

Round down as it is dealing with money and he would not have enough to purchase an 8th grocery.

7 is the final answer.

Hope this helps!

Answer:

600 watt hours/day

Step-by-step explanation:

We're finding a unit rate here.  Divide 2550 watt-hours by 4 1/4 days (since 6 hours = 1/4 day):

2550 watt-hours

------------------------- = 600 watt hours/day

         4.25 days

Answer:

Aaron earns $1.3 per hour more than Peyton

Step-by-step explanation:

Aaron's income is represented by y=29.8x

x represents the number of hours worked

Given that Peyton earns 627 in 22 hours. We want to know how much Aaron earn in 22 hours. We then substitute 22 into the equation as x.

y = 29.8(22)

y = $655.6 in 22 hours

This means that Aaron earns $655.6 in 22 hours.

Therefore, Aaron earns 28.6 dollars more in 22 hours.

We want to know the rate per hour so we divide 28.6 by 22.

rate per hour = 28.6/22

rate per hour = $1.3

Therefore, Aaron earns $1.3 per hour more than Peyton.

D is the answer

Step-by-step explanation:

All of the rest are true except for D

The graph of the inequalities y <2x+1 and y<-x-1 will be shown by graph x. The correct option is A.

The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to, > ‘greater than, or < ‘less than. A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

A function in mathematics set up a relationship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.

The inequality functions are y <2x+1 and y<-x-1. When we plot the graph of the functions we can see that the two lines intersect at the point ( -1, 0 ) and overlap below the function.

The graph of the functions is y <2x+1 and y<-x-1 is attached with the answer below.

Therefore, the graph of the inequalities y <2x+1 and y<-x-1 will be shown by graph x. The correct option is A.

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Answer:6/5x=7/x+2 Two solutions were found : x =(10-√940)/12=(5-√ 235 )/6= -1.722 x =(10+√940)/12=(5+√ 235 )/6= 3.388 Rearrange: Rearrange the equation by subtracting what is to the right

Step-by-step explanation:

Answer:

Option A: (It's just that the y-intercept and slope are in different spots.)

Line in (y=mx+b) form is y = 2x + 4

Slooe is 2

y-intercept is 4

Step-by-step explanation:

Slope-intercept form is written as y=mx+b, where m is slope and b is y-intercept.

By looking at the graph, we can already tell that the y-intercept is positive 4, since the line crosses the y-axis at that point.

Now use rise/run to find slope. (Remember that rise is movement up or down, and run is movement left or right.) With this in mind, the slope is 4/2, and if we simplify it, it's 2/1 (or basically just 2). Because we go upwards 4 units and to the right 2 units.

Hope this helps :)

Step-by-step explanation:

y = -5x/8 + 6

8y = 8 × (-5x/8 + 6)

8y = -5x + 42

5x + 8y = 42

5x + 8y = K, k element real

Option → D

The equation for parallel line is 5x + 8y = 32.

The correct option is (D).

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

Equation: y = -5/8x + 6

Now, the parallel line to above equation must have the slope same as the given equation i.e., -5/8.

Then, writing the equation in slope intercept form

A) 8x + 5y = 10

5y= 10 - 8x

y= 10/5 - 8x/5

y= -8/5x + 2

B) 8x - 5y = 15

-5y= 15 - 8x

y= 8/5 x + 3

C) 8y - 5x = -24

8y= -24 + 5x

y= -24/8 +5/8x

y= +5/8x - 3

D) 5x + 8y = 32

8y= 32 -5x

y= -5/8x + 4

Hence, the equation for parallel line is 5x + 8y = 32.

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Answer : Quadrilateral

Answer:

4

Step-by-step explanation: