∠A and ∠B are two supplementary angles such that ∠A= x° and ∠B= (2x+30)°. Find the measure of ∠B.

Answer:

(-9, 10)

Step-by-step explanation:

The location of the midpoint of a line with endpoint at ([tex]x_1,y_1[/tex]) and ([tex]x_2,y_2[/tex]) is given as (x, y). The location of x and y are:

[tex]x = \frac{x_1+x_2}{2},y=\frac{y_1+y_2}{2}[/tex]

Given the endpoint (9,8) and Midpoint (0,9), the location of the other endpoint can be gotten from:

[tex]0=\frac{9+x_2}{2}\\ \\9+x_2=0\\\\x_2=-9\\\\Also,9=\frac{8+y_2}{2}\\ \\8+y_2=18\\\\y_2=18-8\\\\y_2=10[/tex]

Hence the endpoint is at (x2, y2) which is at (-9, 10)

Respuesta es 7.4466666667

The asnwer is 7.4466666667

Answer:

7.45 is the answer if u round it up it equals to this

Answer:

B

Step-by-step explanation:

p(x) = x² - 2√2x + 1

p(2√2) = (2√2)² - 2√2*2√2 + 1

           =2²*(√2)² - 2*2*√2*√2  + 1

           = 4 *2 - 4*2 + 1

           = 8 - 8 + 1

           = 1

Answer:

B

Step-by-step explanation:

Given

p(x) = x² - 2[tex]\sqrt{2}[/tex] x + 1, then

p(2[tex]\sqrt{2}[/tex] )= (2[tex]\sqrt{2}[/tex] )² - 2[tex]\sqrt{2}[/tex](2[tex]\sqrt{2}[/tex] ) + 1 = 8 - 8 + 1 = 1 → B

Answer:

250 meters/min = 15 km/hr

Step-by-step explanation:

The approximate number to divide from is 16.667. Divide the speed value by 16.667

Answer: $ 7.20

Step-by-step explanation:

Multiply the cost ( 35.50) by 20% or 0.20 and you get your answer ( 7.20 ). Hope this helps!

Answer:

QR = 81

Step-by-step explanation:

PR = 145

= PQ + QR

= (8x) + (11x - 7)

8x + 11x - 7 = 145

19x = 145 + 7

19x = 152

x = 8

substitute x=8 into QR:

11(8) - 7 = 81

Answer: Jeffery paid $ 2937 in all.

Step-by-step explanation:

Given: The cost of antique pull = $890

Mark up percentage = 200%

New price = (cost) + (Mark up percentage) x (cost)

[tex]=\$( 890+\dfrac{200}{100}\times890)\\\\=\$( 890+2(890))\\\\=\$2670[/tex]

After a tax of 10% , the amount needs to be paid = New price + 10% of New price

 [tex]=\$(2670+\dfrac{10}{100}\times2670)=\$(2670+267)\\\\=\$2937[/tex]

Hence, Jeffery paid $ 2937 in all.

Answer:

[tex]( - 4 + i) ( - 1 + 5i) \\ = 4 - 20i - 1i + 5 {i}^{2} \\ = 4 - ( -21i )+ 5i {}^{2} [/tex]

w = 57.5 yards

l = 169.5 yards

P = 2w + 2l

466 = 2w + 2l

l = 3w - 3

466 = 2w + 2(3w - 3)

466 = 2w + 6w - 6

466 - 6 = 8w

8w = 460

w = 460 : 8

w = 57.5 yards

l = 3w - 3

= 3×57.5 - 3

= 169.5

l = 169.5 yards

Answer:

6^2 + 3^2 = sqrt 45

the answer is the sqrt of 45

Step-by-step explanation:

Answer:

[tex] 3\sqrt{5} [/tex]

Step-by-step explanation:

Use the distance formula and the coordinates of the points.

The upper left point is (-5, 3).

The lower right point is (-2, -3)

[tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

[tex] d = \sqrt{(-2 - (-5))^2 + (-3 -3)^2} [/tex]

[tex] d = \sqrt{3^2 + (-6)^2} [/tex]

[tex] d = \sqrt{9 + 36} [/tex]

[tex] d = \sqrt{45} [/tex]

[tex] d = \sqrt{9 \times 5} [/tex]

[tex] d = 3\sqrt{5} [/tex]

Answer:

I went on a train trip and traveled 250 miles in 2 hours.

What is the train's rate of speed in miles per hour?

Answer: divide the number of miles by the time in hours.

rate of speed = (250 miles)/(2 hours) = 125 miles per hour

Answer:

x=10/3 or x=3 1/3

(Same thing)

Step-by-step explanation:

First, we distribute the 3 to 2x and 5:

6x+15=19+16

6x=20

x=20/6

x=10/3

x=3 1/3

Answer:

Step-by-step explanation:

Make q clear

Answer:

2 > 8

5 > 20

1.5 > 6

2 2/3 > 10.667

4 7/8 > 19.5

Step-by-step explanation:

(Use cross multiplication or algebra to solve)

Answer:

It is linear

Step-by-step explanation:

Its linear because y=x/2 + 6 is equal to y = 1/2x+6 which is a linear function

Answer:

The correct answer is $5,29

Step-by-step explanation:

The unit price helps us determine the price for a single unit of something that has been purchased in a group.

In this case we have a package of 5 pairs of insulated gloves, which includes 5 pairs and costs 29.45.

We want to know what the unit price is, that is, how much does a single pair of gloves cost.

To determine this we simply divide the total price by the number of gloves:

29.45 / 5 = 5.29

In this way we can confirm that the unit price of a pair of insulated gloves is $ 5.29.

Answer:

Each pair of gloves is $5.29

Step-by-step explanation:

Answer:

14.6

Step-by-step explanation:

Answer:

b/(2-3)

Step-by-step explanation:

The expression for the quotient of b divided by the difference of two minus three is q = b / (2 - 3) and can be simplified as q = -b.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement.

A finite combination of symbols that are well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression.

Given:

The quotient of b divided by the difference of two minus three,

The expression for the above statement can be written as,

Assume the quotient is q then,

q = b / (2 - 3)

The denominator can be simplified as,

q = b / (-1)

q = -b

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Answer:

179 minutes

Step-by-step explanation:

From the information given, you know that the total cost of the long distance service is equal to 7 plus the result of multiplying 0.7 for the number of minutes:

Total cost=7+0.07x, where x is the amount of minutes.

Now, you can replace the total cost with 19.53 that is the amount Ali was billed and solve for x:

19.53=7+0.07x

19.53-7=0.07x

12.53=0.07x

x=12.53/0.07

x=179

According to this, the answer is that Ali was billed for 179 minutes.

Step-by-step explanation:

8 cos 80° cos 140° cos 160°

4 (2 cos 80° cos 140°) cos 160°

4 cos 160° (2 cos 80° cos 140°)

Use product to sum formula.

4 cos 160° (cos 60° + cos 220°)

4 cos 160° (½ + cos 220°)

2 cos 160° + 4 cos 220° cos 160°

2 cos 160° + 2 (2 cos 220° cos 160°)

Use product to sum formula again.

2 cos 160° + 2 (cos 60° + cos 380°)

2 cos 160° + 2 (½ + cos 380°)

2 cos 160° + 1 + 2 cos 380°

2 cos 160° + 1 + 2 cos 20°

Use shift identity cos(180 − θ) = -cos θ.

-2 cos 20° + 1 + 2 cos 20°

1

Our question that we have at hand here is 8(cos 80°)(cos 140°)(cos 160°). We need to convert that into 'decimal form' to prove that it equals 1. However decimal form doesn't generally give us a decimal, in this case.

Let's start by using the identity cos(s)cos(t) = cos(s + t) + cos(s - t) / 2. In this case we are looking particularly at the expression (cos 80°)(cos 140°), where s = 80, and t = 140.

[tex]\cos \left(80^{\circ \:}\right)\cos \left(140^{\circ \:}\right)=\frac{\cos \left(80^{\circ \:}+140^{\circ \:}\right)+\cos \left(80^{\circ \:}-140^{\circ \:}\right)}{2}[/tex]

[tex]=8\cdot \frac{\cos \left(80^{\circ \:}+140^{\circ \:}\right)+\cos \left(80^{\circ \:}-140^{\circ \:}\right)}{2}\cos \left(160^{\circ \:}\right)[/tex]

[tex]= 4\cos \left(160^{\circ \:}\right)\left(\cos \left(220^{\circ \:}\right)+\cos \left(-60^{\circ \:}\right)\right)[/tex]

To further simplify this expression, we know that cos(- 60°) = cos(60°). This may not seem like a very effective step, but we can apply a few trivial identities here. Remember that cos(60°) = 1 / 2,

[tex]4\cos \left(160^{\circ \:}\right)\left(\cos \left(220^{\circ \:}\right)+\frac{1}{2}\right)[/tex]

[tex]= 4(0.25)\\= 1[/tex]

And hence we proved that 8(cos 80°)(cos 140°)(cos 160°) in decimal form, = 1.

Answer:

Step-by-step explanation:

You're done!

If you wanted to find the percentage of the decaffeinated teas, just subtract 60% from 100%, and you get 40%.

Answer:

60%

Step-by-step explanation:

Answer: 3/16

Step-by-step explanation:

- you divide 3/16 which gets you to the answer of 0.1875

A fraction is a way to describe a part of a whole. The size of the bolt that will best fit in the wrench is 3/16 inches.

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

Jaylon has a wrench labeled 0.1875 inch and bolts labeled in fractions of an inch.

Now, the size of the bolt that will best fit in the wrench will be the bolt of size same as the wrench. Therefore, if we rewrite the size of the wrench it will be,

Size of the bolt = Size of the wrench

                         = 0.1875 inches

                         = 1875/10000 inches

Divide both the numerator and the denominator by 625

                         = 3/16 inches

Hence, the size of the bolt that will best fit in the wrench is 3/16 inches.

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Answer:

$1.36

Step-by-step explanation:

First, add together the prices of all the clothes:

18.28 + 42.39 + 12.97

= 73.64

Then, subtract this from 75:

75 - 73.64

= 1.36

So, he will have $1.36 left after buying the clothes

The money Marco have left after he buys his clothes is $1.36.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, Marco has $75 to spend on new clothes for a job interview.

Let the money left after he purchase his clothes be x.

Cost of shirt=$18.28, cost of pants=$42.39 and cost of tie =$12.97

Now, x=75-(18.28+42.39+12.97)

x= 75-73.64

x= $1.36

Therefore, the money Marco have left after he buys his clothes is $1.36.

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Answer:

13

Step-by-step explanation:

1-2×(-6)=

1-(-12)=

1+12=13

Answer:

radius is 4.5 km

Step-by-step explanation:

Given :

Total number of people living in the area = 1.15 million = 1150000

Population density = 18075 people per sq kilometer

To find:

Radius of region = ?

Solution:

Population density of a region is defined as the ratio of total population divided by the area of the region.

Area here is circular. Let the radius be = r

Area of circle is given as [tex]\pi r^2[/tex]

Formula:

[tex]Population\ Density = \dfrac{Total\ population}{\pi r^2}[/tex]

Putting the values:

[tex]18075 = \dfrac{1150000}{\pi r^2}\\\Rightarrow r^2 = \dfrac{1150000}{18075\pi }\\\Rightarrow r^2 = \dfrac{63.62}{\pi }\\\Rightarrow r^2 = 20.26\\\Rightarrow \bold{r=4.5\ km}[/tex]

Therefore, radius is 4.5 km.

Answer:

7

Step-by-step explanation:

We know the decimal place is after all those zeroes. Move the decimal x places to the left, until it is located between the 2 and 8. Since it moved 7 spaces, that is how you know the power of the ten. A faster way of doing this is the power is always one less than the number of digits of the number.

Answer: 7

Step-by-step explanation:

Answer:

1 is 35 and 2 is 42 and 3 i think is 65

Step-by-step explanation:

Answer:

1. 42875 cube root is expresed as [tex]\sqrt[3]{42875}[/tex] = 35

2. 74088 cube root is expresed as [tex]\sqrt[3]{74088}[/tex] = 42

3. 274625cube root is expresed as [tex]\sqrt[3]{274625}[/tex] = 65

Step-by-step explanation:

in triangle pqr and trs

statement reason

1. pr=rt ( s ) 1. given

2. angle prq = angle srt (a) 2. vertically opposite angle

3. rq = sr ( s ) 3 .given

4 triangle pqr ~= triangle trs 4. by SAS axiom/fact

5. pq = st 5. from statement 4

6. pq\\st 6. from statement 5

proved

Answer:

-3,2

Step-by-step explanation:

just flip the minus and plus

Answer:

-3,2

Step-by-step explanation:

you just rotate it 180 degrees on counterclockwise and it land on area 4

Answer:

v=6

Step-by-step explanation:

-42=4v-18

Add 18 to each side

-42+18=4v-18+18

-24 = 4v

divide each side by 4

-24/4 = 4v/4

-6 = v

Answer:

v = -6

Step-by-step explanation:

Isolate the variable, v. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS =

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

First, add 18 to both sides:

-42 (+18) = 4v - 18 (+18)

-42 + 18 = 4v

4v = 18 - 42

4v = -24

Next, divide 4 from both sides:

(4v)/4 = (-24)/4

v = -24/4

v = -6

v = -6 is your answer.

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