Label each angle as acute, obtuse, right, or straight and estimate the measure in degrees.

Answer:

E

Step-by-step explanation:

Consider each of the given values for m and n

A

m : n = 8 : 7 ≠ 7 : 6

B

m : n = 12 : 14 = 6 : 7 ≠ 7 : 6

C

m : n = 14 : 0 ≠ 7 : 6

D

m : n = 42 : 42 = 1 : 1 ≠ 7 : 6

E

m : n = [tex]\frac{7}{3}[/tex] : 2 = [tex]\frac{7}{3}[/tex] : [tex]\frac{6}{3}[/tex] = 7 : 6

Thus E is the only true ratio

Answer:

E. m = 7/3, n = 2

Step-by-step explanation:

The correct answer

Step-by-step explanation:

Hours of work- Alvin: 6 hours Theodore: 4.5 hours Simon: 1.25 hours

Step-by-step explanation:

10 x 2 = 20 (after 15 minutes) 9:15

20 x 2 = 40 (after 30 minutes)

40 x 2 = 80 (after 45 minutes)

80 x 2 = 160 (after 60 minutes) - 10:00

160 x 2 = 320 (after 75 minutes)

320 x 2 = 640 (after 90 minutes)

640 x 2 = 1280 (after 105 minutes) - 10:40

There will be 1280 bacteria in the dish at 10:40.

Answer: A

Step-by-step explanation:

The ascending order of the number from smallest to largest will be  1.448, 1.22, 2, 14 10

Ascending order is a method of arranging numbers in increasing order or smallest to largest values.

We have given the values as

1.448, 2 , 14 10 , and 1.22

Here if we arrange the numbers in ascending order, we get

1.448, 1.22, 2, 14 10

Thus, The ascending order of the number from smallest to largest will be  1.448, 1.22, 2, 14 10

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Answer:

F, K & G

Step-by-step explanation:

Points are colinear if they lie on the same straight line.

only K , F & G line on a straight line.

The following points which are collinear in the image is Option (A) F,K and G.

Three or more points are said to be collinear if they lie on a single straight line. A line on which points lie, especially if it is related to a geometric figure is called an axis. Two points are always collinear since two points determine a line.

From the definition of collinear points, we have to identify the points which are in a single straight line.

Apart from the rest other options, Option (A) signifies the points F,K and G which are on the single straight line of the vertex FG in the cube.

Therefore, the following points which are collinear in the image is Option (A) F,K and G.

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For -4+2, plot -4, then move to the right 2 spaces. You should land on -2.

For -4+(-2), plot -4 then move the left 2 spaces. You should land on -6.

Answer: Make a number line. Start at 0. For -4+2 you go back 4 on a number line. Then you add 2. You will end up on -2. For -4+(-2) you start at 0. You go back 4 until you reach -4, then you go back another 2. You should end up on -6.

Answer: 1/2 or 50%

Step-by-step explanation: To find out what is the probability of rolling an odd number on a dice, we first need to understand what probability is. Probability is the likelihood that an event will happen. We can find the probability of an event using a ratio. Notice that in this problem, we are asked to find the probability of spinning an odd number. This means that the odd numbers will be a favorable outcome.

Image is provided.

Answer: 2/3

Step-by-step explanation: To find how much of the candy bar they each have, we will have to add the fractions. To add unlike fractions such as 1/3 and 4/12, we first need to find a common denominator. The common denominator of 3 and 12 is simply the least common multiple of 3 and 12 which is 12. To get 12 in the denominator of 1/3, we multiply the numerator and denominator by 4 to get 4/12. Notice that our second fraction already has 12 in the denominator so we can now add these fractions.

[tex]\frac{4}{12}[/tex] + [tex]\frac{4}{12}[/tex] = [tex]\frac{8}{12}[/tex].

Notice that 8/12 can be reduced by dividing both the numerator and denominator by 4.

8 ÷ 4 = 2

12 ÷ 4 = 3

Therefore, Jackie and Steven have 2/3 of a Hershey bar.

Answer:

Area of the walkway = 8x + 24

Step-by-step explanation:

Area of the total backyard = [tex]l\times b[/tex]

Area of total backyard = [tex](x+6)\times (x+4) = x^{2} +10x + 24[/tex]

Now, Area of the rectangular garden = [tex]l\times b[/tex]

Area of the rectangular garden = [tex]x (x+2) = x^{2} + 2x[/tex]

Now area of the walkway poured with concrete = Area of the backyard - Area of the rectangular garden

= [tex](x^{2} +10x +24) - (x^{2} +2x)[/tex]

= [tex]x^{2} + 10x +24 - x^{2} -2x[/tex]

= 8x + 24  

Answer:

4

Step-by-step explanation:

To find numbers less than -3 or greater than 5, we consider numbers to the left of -3 and to the right of 5 on the number line.

To find the numbers that are less than -3 or greater than 5, we can consider numbers that are to the left of -3 on the number line or to the right of 5. Any number less than -3 will be represented by a point to the left of -3, and any number greater than 5 will be represented by a point to the right of 5. This means that any number less than -3 or greater than 5 will include all the numbers from negative infinity to -3, and all the numbers from 5 to positive infinity.

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A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 401 is about 20.025. Thus, the square root of 401 is not an integer, and therefore 401 is not a square number.

Answer:

apparently In what I believe, 401 is not a perfect square mate!

Step-by-step explanation:

401 is an odd number, because it is not evenly divisible by 2.

A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 401 is about 20.025.

Thus, the square root of 401 is not an integer, and therefore 401 is not a square number.

Answer: The answer to your question should be ($x +$8) + $4

Step-by-step explanation:

First of all ignore the dollar sign. It’s irrelevant to the problem and we aren’t dealing with decimals. First of all, we know that Hector has $8 more than Tami and Joe has $4 more than Hector so first we need to find how much money Hector has. Since Hector has $8 more than Tami and we know that Tami has $x we $x+$8 is Hectors amount of money. Since Joe has $4 more than Hector and we know Hectors money is $x + $8 Joe’s money is ($x+$8) + $4.

Answer:

Considering is a compunded increase rate of the yearly car insurance fee and x is the initial value of the insurance fee then

x×(1.05)^12=$86.82

×=$86.82/(1.05)^12

The cost of his insurance before it increased is $82.48.

Here,

The cost of Mr. Patten’s car insurance increased by 5% to $86.82 per month.

We have to find the cost of his insurance before it increased.

What is Percentage?

A percentage (from Latin per centum "by a hundred") is a number or ratio expressed as a fraction of 100.

Now,

The cost of Mr. Patten’s car insurance increased by 5% to $86.82 per month.

Increased cost = [tex]\frac{5}{100} * 86.82 = 4.34[/tex]

Hence, The cost of his insurance before it increased = $86.82 - $4.34

                                                                                 = $82.48

So, The cost of his insurance before it increased is $82.48.

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-34 is indeed a "whole number, integer, and a rational number." Whole numbers are full numbers including negatives, not including fractions, decimals, and percents. Integers are whole numbers can be negative or positive. Also rational numbers are anything that can be expressed as a fraction.

Hope this helps.

Answer: two hundred ninety three thousand six hundred seventy one

To convert 293,671 into words, divide it into the thousands and ones part - resulting in 'two hundred ninety-three thousand, six hundred seventy-one'.

Turning a number like 293,671 into words is a simple task once you understand the place value system used in English for numbers. This process involves breaking the number down into manageable chunks and then converting each chunk into words based on their respective values.

Firstly, we recognize that 293,671 falls in the 'thousands' range, as it's more than 1,000 but less than 1 million. Therefore, we divide the number into the 'thousands' part (293) and the 'ones' part (671).

The number 293 in words is 'two hundred ninety-three', and 671 is 'six hundred seventy-one'. Combining these with the appropriate place value gives us 'two hundred ninety-three thousand, six hundred seventy-one'.

A number is rational if it is the result of a fraction.

Take any number, if you can write it down as a fraction, then that number is rational.

Example: 2,5 is rational because it's 5/2.

A number is irrational if it's real and IS NOT rational.

Example: pi is irrational, e is irrational and also

[tex] \sqrt{72} [/tex]

A detailed explanation of whether [tex]\sqrt{72}[/tex] is rational or irrational, with examples and definitions to support the answer.

To determine whether [tex]\sqrt{72}[/tex] is rational or irrational, let's first simplify the expression:

[tex]\sqrt{72}[/tex] = [tex]\sqrt{36*2}[/tex]

[tex]\sqrt{72} = \sqrt{36}[/tex] × [tex]\sqrt{2}[/tex]

[tex]\sqrt{72[/tex] = [tex]6\sqrt{2}[/tex]

Now, 2 is an irrational number, as it cannot be expressed as a fraction of two integers where the denominator is not zero. Since [tex]\sqrt{2}[/tex] is irrational and [tex]\sqrt{6}[/tex] is rational, the product [tex]6\sqrt{2}[/tex] is also irrational.

Therefore, [tex]\sqrt{72}[/tex] is irrational.

Answer:

12

Step-by-step explanation:

(x-1)+(y+1)+(z-1)

= x -1 + y + 1 + z - 1

= x + y + z -1

= (x + y + z) -1

given that x+y+z = 13, substitute this value into the equation aove

(x + y + z) -1

= 13 - 1

= 12

[tex]\bf \textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{}{ h},\stackrel{}{ k})\qquad \qquad radius=\stackrel{}{ r} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ (x-5)^2+(y+6)^2=42\implies [x-\stackrel{h}{5}]^2+[y-(\stackrel{k}{-6})]^2=(\stackrel{r}{\sqrt{42}})^2~~ \begin{cases} \stackrel{center}{(5,-6)}\\\\ \stackrel{radius}{\sqrt{42}} \end{cases}[/tex]

Answer:

Step-by-step explanation:

The equation of a circle:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

(h, k) - center

r - radius

We have:

[tex](x-5)^2+(y+6)^2=42\\\\(x-5)^2+(y-(-6))^2=42[/tex]

Therefore

[tex]h=5,\ k=-6,\ r^2=42\to r=\sqrt{42}[/tex]

Answer:

x = +/-10°

Step-by-step explanation:

[2(x+10)]°=

[2x + 20] =

[2x] = [-20]

2x/2 = -20/2

x = -10

(3x - 30)°

3x/3 = 30/3

x = 10

Answer:

The value of x = 50°

Step-by-step explanation:

As,

[2(x+10)]°  &  (3x-30)° both are Vertically opposite angles.

we know,

vertically opposite angles are equal .

so,

2(x+10) = 3x-30

⇒2x+20 = 3x-30

⇒3x-2x=20+30

∴x=50

∴The value of x = 50°

Answer:

B) 120

Step-by-step explanation:

m = miles

$98=$80+$0.15m

$98-$80=$80-$80+$0.15m

$18=$0.15m

$18/$0.15=$0.15m/$0.15

120=m

Juliet drove 120 miles for $98.

(this is a good explanation, I guess)

Answer:

Option B) 120 miles

Step-by-step explanation:

Company charges per day for a car rent = $80

and per mile driven = $0.15

Juliet rented a car for one day and she was charged a total = $98

Let Juliet traveled x miles

$80 + $0.15x = $98

0.15x = 98 - 80

0.15x = 18

x = [tex]\frac{18}{0.15}[/tex]

x = 120 miles

Juliet was charged for 120 miles driving.

Answer:

First of all, you should know that perimeter means, the sum of all the sides in the figure. So, if you have a lenght that is twice its widht, the ecuation must be, 6 width = 135 ft.

Step-by-step explanation:

Answer:

Step-by-step explanation:

twice means 2 , so you have to multiply 135 by 2 and there is your answer.

[tex]\bf \begin{array}{ll} \stackrel{term}{n}&\stackrel{-6+(n-1)\frac{1}{5}}{value}\\ \cline{1-2} 1&-6+(1-1)\frac{1}{5}\\ &-6+0\\[1em] &-6\\[1em] 4&-6+(4-1)\frac{1}{5}\\ &-6+\frac{3}{5}\\[1em] &\frac{-27}{5}\\[1em] 10&-6+(10-1)\frac{1}{5}\\ &-6+\frac{9}{5}\\[1em] &\frac{-21}{5} \end{array}[/tex]

Answer with Step-by-step explanation:

We are given a arithmetic sequence as:

[tex]A(n)=-6+(n-1)(\dfrac{1}{5})[/tex]

We have to find the first, fourth and tenth term

First term:

n=1

[tex]A(1)=-6+(1-1)(\dfrac{1}{5})[/tex]

A(1)= -6

Fourth term:

n=4

[tex]A(4)=-6+(4-1)(\dfrac{1}{5})[/tex]

[tex]A(4)=-6+\dfrac{3}{5}[/tex]

[tex]A(4)=-\dfrac{27}{5}[/tex]

Tenth term:

n=10

[tex]A(10)=-6+(10-1)(\dfrac{1}{5})[/tex]

[tex]A(10)=-6+\dfrac{9}{5}[/tex]

[tex]A(10)=-\dfrac{21}{5}[/tex]

Check the picture below, let's use those two points on the line to get its slope.

[tex]\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{3}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{3}-\stackrel{y1}{1}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{0}}}\implies \cfrac{2}{2}\implies 1[/tex]

Answer:

[tex]12x^{2} +14x+4[/tex]

Step-by-step explanation:

3x *4x = [tex]12x^{2}[/tex]

[tex]3x+4x*2=14x[/tex]

2 + 2 = 4

[tex]12x^{2} +14x+4[/tex]

Answer:

28.3 that's the answer

Step-by-step explanation:

Answer:

x=0

Step-by-step explanation:

Answer:

[tex]\large\boxed{x^3y^3+343=(xy+7)(x^2y^2-7xy+49)}[/tex]

Step-by-step explanation:

[tex]x^3y^3=(xy)^3\\\\343=7^3\\\\x^3y^3+343=(xy)^3+7^3\qquad\text{use}\ a^3+b^3=(a+b)(a^2-ab+b^2)\\\\=(xy+7)\bigg((xy)^2-(xy)(7)+7^2\bigg)=(xy+7)(x^2y^2-7xy+49)[/tex]

Answer:

Step-by-step explanation:

If these 3 points are collinear, then we can find the slope of the linear function using any 2 of those points.  Suppose we use (-4, 3) and (0, 1):  

As we move from (-4, 3) to (0, 1), x increases by 4 and y decreases by 2.  Hence, the slope of this lilne is m  = rise/run = -2/4, or m = -1/2.

Using the slope-intercept formula y = mx + b and replacing y with 1, x with 0 and m with -1/2, we get:

1 = (-1/2)(0) + b, or b = 1.  Then the desired equation is y = f(x) = (-1/2)x + 1

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

Two lines are perpendicular if the first line has a slope of [tex]m[/tex] and the second line has a slope of [tex]\frac{1}{-m}[/tex].

With this information, we first need to figure out what the slope of the line is that we're given, and then we can determine what the slope of the line we're trying to find is:

[tex]5x - 2y = -6[/tex]

[tex]-2y = -5x - 6[/tex]

[tex]y = \frac{5}{2}x + 3[/tex]

We now know that [tex]m = \frac{5}{2}[/tex] for the first line, which means that the slope of the second line is [tex]m = \frac{-2}{5}[/tex]. With this, we have the following equation for our new line:

[tex]y = \frac{-2}{5}x + C[/tex]

where [tex]C[/tex] is the Y-intercept that we now need to determine with the coordinates given in the problem statement, [tex](5, -4)[/tex]:

[tex]y = \frac{-2}{5}x + C[/tex]

[tex](-4) = \frac{-2}{5}(5) + C[/tex]

[tex]-4 = -2 + C[/tex]

[tex]C = -2[/tex]

Finally, we can create our line:

[tex]y = \frac{-2}{5}x - 2[/tex]

[tex]5y = -2x - 10[/tex]

[tex]2x + 5y = -10[/tex]

Answer:

a,b,d

Step-by-step explanation:

took test on edu

Answer:

1  1/3

Step-by-step explanation:

-4 1/3 + 5 2/3  = -13/3  + 17/3                 { change into improper form}

                       =  { (-13) + 17 } / 3

                        = 4 / 3

                       = 1  1/3