Paul left his house at 9:45 a.m. and returned home at 6:55 p.m. the same day. How long was Paul away from home?

Step-by-step explanation:

multiply the first equation by 1, the second by -1 and add.

x + 2y = -16

-x - 6y = 28

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

0 - 4y = 12

-4y = 12

y = -3

x + 2×-3 = -16

x - 6 = -16

x = -10

Answer:

144°

96+48(further away angles)

Answer:

x = 144°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

x is an exterior angle of the triangle , then

x = 48° + 96° = 144°

[tex]y=1.5x+8\\\\\implies 1.5x = y-8\\\\\implies x = \dfrac{y-8}{1.5}\\\\\implies x = \dfrac{y-8}{\tfrac 32}}\\\\\implies x = \dfrac{2(y-8)}{3}\\\\\implies x = \dfrac 23 y- \dfrac{16}3[/tex]

The answer is 34.54 cm

The circumference (or) perimeter of a circle = 2πr units. The area of a circle = πr2 square units. Where r is the radius of the circle. The circumference of the circle or the perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of the circle defines the region occupied by the circle.

Given here: Radius=11cm

Thus circumference of the semi-circle is = πr

                                                                      =3.14×11

                                                                       =34.54 cm

Hence, The answer is 34.54 cm

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Answer:

A

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

(4x + 11) is an exterior angle of the triangle , then

4x + 11 = 3x - 24 + 2x

4x + 11 = 5x - 24 ( subtract 5x from both sides )

- x + 11 = - 24 ( subtract 11 from both sides )

- x = - 35 ( multiply both sides by - 1 )

x = 35 → A

The linear equation is y = 8x and the slope of the graph is 8

A linear equation 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.

Using the points (2, 16) and (3, 24):

[tex]slope(m)=\frac{24-16}{3-2}=8[/tex]

Hence the linear equation is y = 8x

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Answer

1/3

Step-by-step explanation:

Answer:

$0.80

Step-by-step explanation:

Answer:

So Noah owes John $4.00

Step-by-step explanation:

Since Noah borrowed 80 cents from John for 5 days, you'd simply multiply 0.80 (remember to include the decimal) by 5, and you'd get 4.

Hope this helps you :)

Answer:

m < 5 = 55.1 i think im not forsure

Step-by-step explanation:

Whenever the Transversal EF intersects parallel line AB and CD, the values of m∠5 and m∠7 are 55.1° and 124.9°, respectively.

An angle results from the intersection of two lines at a point. The term "angle" describes the width of the "gap" that exists between these two rays. It's represented by the symbol.

Angles are most frequently measured in degrees and radians, a measurement of roundness or rotation. Angles are a part of everyday existence.

As per the information provided in the question,

Since the transverse line, EF, intersects the line segment AB and CD, it creates equivalent, alternate, and other angles.

As a result, the m∠5 and m∠7 are as follows:

First, supplementary angles ∠5 and ∠7 are present. Since they add up to 180 degrees, they are equal.

Since alternate angles are equivalent, ∠5 is an alternative angle to ∠4. Therefore,

m∠5 ≅ m∠4

m∠5 = 55.1°

So,

m∠5 + m∠7  = 180°

55.1 + ∠7 = 180

∠7 = 180 - 55.1

m∠7 = 124.9°

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Answer:

hope it helps you..........

Answer:

√85

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

3x7=21 you take away 7 books you would have 14 left or 7x2

I'm pretty sure the answer would be D) P = 20.2x + 1.3 but the answer should be P = 19.2x + 1.3, but it isn't listed so it would be D

Answer:

10

x

2

−

x

−

16

re written: 10x2−x−16

Step-by-step explanation:

Answer:

The simplified answer is [tex]10x^2-x-16[/tex]

Step-by-step explanation:

[tex]2x+6x^2-10+4x^2-3x-6[/tex]

[tex]= 2x+6x^2+-10+4x^2+-3x+-6[/tex]

[tex]Combine[/tex] [tex]Like[/tex] [tex]Terms:[/tex]

[tex]= 2x+6x^2+-10+4x^2+-3x+-6[/tex]

[tex]=(6x^2+4x^2)+(2x+-3x)+(-10+-6)[/tex]

[tex]= 10x^2+-x+-16[/tex]

As a final result, the answer is [tex]10x^2+-x+-16[/tex].

Therefore, [tex]10x^2+-x+-16[/tex] is the answer.

Hope this helps!  

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Answer:

x² + 8

Step-by-step explanation:

(f - g)(x)

= f(x) - g(x)

= 2x² + 1 - (x² - 7)

= 2x² + 1 - x² + 7 ← collect like terms

= x² + 8

Answer:

it is D

Step-by-step explanation:

For knowing it, it is necessary to draw straight line above the triangle from the middle of the sides, forming a 90° degree angle. But as they are already drew, it is easier

Given ΔABC with points A, B and C on the circle, the circumcenter of the triangle is point D.

Circumcenter of a circle is the point where the perpendicular bisectors on the sides of the triangle, whose vertices touch the circumference of the circle, intersect.

Perpendicular bisector of a line segment is another line segment which makes an angle of 90 degrees with it and divide the line segment into two equal parts.

In the given figure, we have triangle ABC.

A, B and C vertices touch the circle.

We need to find the circumcenter of the circle.

The sides of the triangle ABC are AB, BC and AC.

The perpendicular bisectors of the sides AB, BC and AC are ED, GD and FD respectively. We can verify so from the figure.

The point where the three perpendicular bisectors meet is the point D, again from the figure, thus, clearly point D is the circumcenter of the triangle.

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Answer:

5 pints is needed

Step-by-step explanation:

2 pints of white paint for pink

1 pint of red for pink

10 pints of white paint = 5 pints of red

Answer:

m = 3

Step-by-step explanation:

Slope of first one is -1/3

Perpendicular therefore m = -(-1/3)^(-1) = 3

m = 3

Answer:

Given the equation line 4x+12y=8

Step-by-step explanation:

The equation is y=mx+5y=mx+5

The line passes through A(3,14)A(3,14)

Putting (x,y)=(3,14)(x,y)=(3,14), we have…

14=3m+514=3m+5

⟹3m=9⟹3m=9

⟹m=3

Answer:

Step-by-step explanation:

The number is 12.

A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.

here, we have,

-> If you add 12 to my number and then multiply the result by 3, you will get 64 more than two-thirds of my number.

-> n + 12 and then multiply the result by 3, you will get 64 more than two-thirds of my number.

-> 3(n + 12), you will get 64 more than two-thirds of my number.

-> 3(n + 12) = 64 more than

-> 3(n + 12) = 64 + 2n/3

[Given]

3(n + 12) = 64 +  2n/3

[Distribute]

3n + 36 = 64 + 2n/3

[Multiply both sides by 3]

9n + 108 = 192 + 2n

[Subtract 108 and 2n from both sides]

7n = 84

[Divide both sides by 4]

n = 12

hence, The number is 12.

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Answer:

Step-by-step explanation:

From the markings p and q are opposite equal sides. That means that p = q

Since = 24 then q must also be 24

r is an exterior angle. It is equal to the two remote interior angles which in this case are p and q

r = p + q   But p and q are both  equal

r = 24 + 24

r = 48

From the markings r and s are opposite equal sides. That means that r and s are equal.

s = r

s = 48

t is another exterior angle. It is = to the sum of the two interior angles

so t = r + S

t = 48 + 48

t = 96

Answer:

Step-by-step explanation:

It may help you to rewrite this problem in columns:

 2x - 3

-(  x - 1)

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

   x - 2 (answer) ("x minus 2")

Answer:

5. 7.5m

6. 3, 925m

7. 383.9m

8 42.99m

Answer:

Step-by-step explanation:

Answer:

Nick spent $30.00.

Step-by-step explanation:

60% of $50.00

60% ÷ 100 = 0.6

0.6 x 50 = 30

Answer:

Step-by-step explanation:

last month nick spent $50 this month he spent 60% of last month how much did nick spend?

50 : 100 * 60 =

0.5 * 60 = 30$

Answer:

Step-by-step explanation:

468 ÷ 3

= 156

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Step-by-step explanation:

the line was translated. in other words : it was shifted. it only changed its position. no other attribute changed.

so, the length is still 4.

Using the normal distribution, it is found that the third quartile is of Q3 = 0.67, hence option B is correct.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

The third quartile is X when Z has a p-value of 0.75, as [tex]100\frac{3}{4} = 75[/tex], hence X when Z = 0.67.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.67 = \frac{X - 0}{1}[/tex]

[tex]X = 0.67[/tex]

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Answer:

a solution set trinomial has only one element in the solution set

Step-by-step explanation: