The value of x is 30
Solution:
Given that measure of exterior angle of regular polygon is 2x
The measure of interior angle is 4x
To find: value of x
The sum of an interior angle plus an exterior angle must be equal to 180 degrees (supplementary angles)
measure of exterior angle + measure of interior angle = 180
2x + 4x = 180
6x = 180
x = 30
Finding the measure of an exterior angle
measure of exterior angle = 2x = 2(30) = 60 degrees
Finding the measure of interior angle
measure of interior angle = 4x = 4(30) = 120 degrees
how do i do this math question 5x < -10
Answer:
X < -2
Step-by-step explanation:
5x/5 < -10/5. Divide each side by 5
Dad bought $200,000 of term life insurance at the rate of $5.40 per thousand-dollar unit. How much is the annual premium?
Answer:
$1080 annual
Step-by-step explanation:
200(# of thousands) x 5.4
1080
Callie was billed $416.48 for car repairs. She will pay the service center in 4 equal monthly installments from her bank account. What is the net change in her bank account balance after each monthly payment? The net change to Callie’s bank account is -$416.48. The negative sign indicates money leaving Callie’s account.Which rational number represents the number of months that Callie has to pay off the bill? What does the sign on the number mean?
Answer:
$104.12
Step-By-Step Explanation:
First divide $416.48 by 4 ↓
$416.48÷4= $104.12
Callie will have $104.12 less than what she earned each month once you take away the money she is paying for car repairs.
Callie will have $104.12 less than what she earned each month once you take away the money she is paying for car repairs.
What is problem-solving?Problem-solving is the act of defining a problem; figuring out the purpose of the trouble; identifying, prioritizing, and selecting alternatives for an answer; and imposing an answer.
Problem-solving starts with identifying the issue. As an example, a trainer may need to parent out a way to improve a scholar's overall performance on a writing talent test. To do that, the instructor will overview the writing exams looking for regions for improvement.
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A computer company has a special going in which all customers receive a free monitor and scanner with the purchase of a new computer. It costs the company $393.29 to make each computer, $151.44 to make each monitor, and $46.39 to make each scanner. The computers are then sold, with the free monitor and free scanner, for $1,196.91 each. Approximately how much profit will the company make if 408 customers take advantage of their special? (Round to the nearest 50 dollars.) A. $300,000.00 B. $550,000.00 C. $240,000.00 D. $380,000.00
Final answer:
After subtracting the manufacturing costs of the computer, monitor, and scanner from the selling price for one unit and multiplying by 408 customers, the approximate total profit is $247,050.00, which rounds to option C. $240,000.00.
Explanation:
To calculate the profit the company makes for each computer sold at $1,196.91 after giving away a monitor and a scanner, we need to subtract the cost of manufacturing the computer, monitor, and scanner from the selling price, and then multiply it by the number of customers. The costs for the computer, monitor, and scanner are $393.29, $151.44, and $46.39 respectively. Therefore, the total cost of manufacturing one set is:
Total cost = Cost of computer + Cost of monitor + Cost of scanner
Total cost = $393.29 + $151.44 + $46.39 = $591.12
The profit for one computer set would then be:
Profit per computer = Selling price - Total cost
Profit per computer = $1,196.91 - $591.12 = $605.79
To find the total profit for 408 customers, we multiply the profit per computer by the number of customers:
Total profit = Profit per computer × Number of customers
Total profit = $605.79 × 408 ≈ $247,060.32
When rounding to the nearest 50 dollars, we get:
Total profit ≈ $247,050.00
The closest answer to this would be option C. $240,000.00.
The number of people attending the first basketball game of the season was 840. The number of people attending the last game of the season was 1,200. What was the percent increase in attendance, to nearest percent?
Percent increase in attendance is 42.85% (Approx.)
Given that;
Number of people in first season = 840
Number of people in last season = 1200
Find:
Percent increase in attendance
Computation:
Percent increase in attendance = [(1200 - 840)/840]100
Percent increase in attendance = [360/840]100
Percent increase in attendance = [0.4285]100
Percent increase in attendance = 42.85% (Approx.)
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Final answer:
To find the percent increase in attendance from the first to the last basketball game, the number of people at the beginning is subtracted from the number at the end, the result is divided by the initial number, and then multiplied by 100 to get the percentage, which in this case is approximately 43%.
Explanation:
To calculate the percent increase in attendance from the first to the last basketball game, you subtract the initial number of attendees from the final number of attendees, divide the result by the initial number and then multiply by 100 to get it in percentage form.
The formula for percent increase is:
Percent Increase = ((Final Value - Initial Value) / Initial Value) * 100
Using the provided numbers:
Initial attendance = 840
Final attendance = 1,200
Subtract the initial attendance from the final attendance: 1,200 - 840 = 360
Divide the change in attendance by the initial attendance: 360 / 840 = 0.4286 (approximately)
Multiply by 100 to find the percent: 0.4286 * 100 = 42.86%
Round to the nearest percent: 43% increase.
Therefore, the percent increase in attendance was 43%.
Does the ordered pair (−5,−5) satisfy the following system of equations?
{−3x−3y=125x+5y=−20
Well, let's see. The problem gave you an ordered pair. In other words, you have an 'x' and a 'y' coordinate. All you need to do is put them into the equation.
Step-by-step explanation:
This means that instead of --
-3x - 3y = 125 + 5y = -20
We would have:
-3(-5)-3(-5) = 125(-5) + 5(-5) = -20
From here, you just simplify it into:
30 = -650 = -20
Since the values are not the same, the ANSWER is NO. The ordered pair does not satisfy the following system of equations.
Final answer:
The ordered pair (-5, -5) does not satisfy either of the two given equations, thus it does not satisfy the system of equations.
Explanation:
To determine if the ordered pair (−5,−5) satisfies the given system of equations, we substitute x with −5 and y with −5 into each equation and check if the left-hand side equals the right-hand side.
For the first equation −3x−3y=12, substituting x and y gives us:
−3(−5) −3(−5) = 15 + 15 = 30 which does not equal 12. Therefore, the pair does not satisfy the first equation.
For the second equation 5x+5y=−20, substituting x and y gives us:
5(−5) + 5(−5) = −25 + −25 = −50 which does not equal −20. Therefore, the pair does not satisfy the second equation either.
Since the ordered pair does not satisfy both equations, we can conclude that (−5,−5) does not satisfy the system of equations.
What equation in slope intercept form represents the line that passes through the two points (5,8) (7,3)
Answer:
[tex]\displaystyle y = -2\frac{1}{2}x + 20\frac{1}{2}[/tex]
Step-by-step explanation:
First, find the rate of change [slope]:
[tex]\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{-8 + 3}{-5 + 7} = -\frac{5}{2} = -2\frac{1}{2}[/tex]
Then plug these coordinates into the Slope-Intercept Formula instead of the Point-Slope Formula since you get it done swiftly that way. It does not matter which ordered pair you choose:
3 = −2½[7] + b
−17½
[tex]\displaystyle 20\frac{1}{2} = b \\ \\ y = -2\frac{1}{2}x + 20\frac{1}{2}[/tex]
_______________________________________________
8 = −2½[5] + b
−12½
[tex]\displaystyle 20\frac{1}{2} = b \\ \\ y = -2\frac{1}{2}x + 20\frac{1}{2}[/tex]
** You see? I told you it did not matter which ordered pair you choose because you will always get the exact same result.
I am joyous to assist you anytime.
Evaluate each expression is a=9, b=3, and c=1/3
a^2 ÷ 3 =
a^2 + 30 - 18 =
4b^2 · 3 =
ac ÷ (2b) =
3c ÷ (2b^2) =
Answer: if a=9, b=3, and c=1/3 then...
a^2 ÷ 3 = 9^2÷3
= 27
a^2 + 30 - 18 = 9^2+30-18
= 93
4b^2 · 3 = 4×3^2×3
= 108
ac ÷ (2b) = 9×1/3÷ (2×3)
= 1/2
3c ÷ (2b^2) = 3×1/3 ÷ (2×3^2)
= 1/18
Step-by-step explanation:
With a^2 ÷ 3, you would replace any letters with the number it says to replace it with. so, "a" would be replaced with 9, since it says that a=9. So, once your done with all of that, the equation would become, 9^2÷3.
With a^2 + 30 - 18, you would also, replace any letters with the number it says to replace it with. So, "a" would be replaced with 9, since it says that a=9. So, then after you do all of that, the equation would be, 9^2+30-18.
With 4b^2 · 3, you would do the same thing, you would replace any letters with the number it tells you to replace it with. So, "b" would be replaced with the number, 3. And if you don't already know... when "b" turns into 3, the number doesn't become 43. When "b", gets changed to 3, it becomes 4×3. So, after all that is done, then the equation would turn into, 4×3^2×3.
With ac ÷ (2b), you would do the same thing that was done above. Start by replacing any letters with the numbers that, it says to replace it with. Which you would replace "a" with 9, "c" with 1/3, and "b" with 3. And like I said above if the letters change to a number the numbers don't just stay as numbers, they get multiplied by each other. like when you change "a" to 9 and "c" to 1/3... it becomes 9×1/3. Same thing with b, when "b" gets changed to 3... since the number 2 is right next to it... it becomes, 2×3. So, after all that is done, the equation turns out to be, 9×1/3 ÷ (2×3).
And last but not least, to solve 3c ÷ (2b^2)... To solve 3c ÷ (2b^2), you would change any letters with the numbers that it says to replace it with. Like changing "c" to 1/3, and "b" to 3. And when changing "c" to 1/3, you'd notice that since 3 is right next to "c", you would multiply them together, 3×1/3. Same thing when changing "b" to 3, you would multiply it by the number it is next to. So, it would be 2×3. So, after all of that is done the equation turns into, 3×1/3 ÷ (2×3^2).
Final answer:
Using the given values (a=9, b=3, c=1/3), the expressions evaluate to 27, 93, 108, 0.5, and 1/18 respectively, after calculation.
Explanation:
To evaluate each expression with the given values a=9, b=3, and c=1/3, we substitute these values into each expression and perform the appropriate arithmetic operations:
[tex]a^2[/tex] ÷ 3 = 92 ÷ 3 = 81 ÷ 3 = 27
[tex]a^2[/tex] + 30 - 18 = 92 + 30 - 18 = 81 + 30 - 18 = 93
[tex]4b^2[/tex] · 3 = [tex]4(3)^2[/tex] · 3 = 4(9) · 3 = 36 · 3 = 108
ac ÷ (2b) = (9)(1/3) ÷ (2(3)) = 3 / 6 = 1/2= 0.5
3c ÷ (2b2) = (3)(1/3) ÷ (2(3)2) = 1 / (2(9)) = 1 / 18 = 0.0556
Jill bought a basket to fill with potpourri. The basket has eight sides. What shape is it?
Answer:
Step-by-step explanation:
If the sides are all equal to each other, the figure is a regular octagon. one is given to you below.
a daily newspaper has 10225 subscribers when it began publication. six years old later it has 8200 subscribers what is the average yearly rate of change in the number of subscribers for the six year period
Answer:
The rate of change in number of subscriber for the six years is 3.62%
Step-by-step explanation:
Given as :
The initial subscriber of newspaper = p = 10225
The subscriber of newspaper after 6 years of publish = P = 8200
The time period = t = 6 years
Let The average yearly rate of change = r%
Now, According to question
The subscriber of newspaper after n years = initial subscriber × [tex](1-\dfrac{\textrm rate}{100})^{\textrm time}[/tex]
Or, P = p × [tex](1-\dfrac{\textrm r}{100})^{\textrm t}[/tex]
Or, 8200 = 10225 × [tex](1-\dfrac{\textrm r}{100})^{\textrm 6}[/tex]
Or, [tex]\dfrac{8200}{10225}[/tex] = [tex](1-\dfrac{\textrm r}{100})^{\textrm 6}[/tex]
Or, 0.80195 = [tex](1-\dfrac{\textrm r}{100})^{\textrm 6}[/tex]
Taking power [tex]\dfrac{1}{6}[/tex] both side
So, [tex](0.80195 )^{\frac{1}{6}}[/tex] = [tex]((1 - \frac{r}{100} )^{6})^{\frac{1}{6}}[/tex]
Or, 0.9638 = 1 - [tex]\dfrac{r}{100}[/tex]
Or, [tex]\dfrac{r}{100}[/tex] = 1 - 0.9638
Or, [tex]\dfrac{r}{100}[/tex] = 0.0362
Or, r = 0.0362 × 100
i.e r = 3.62
So, The rate of change in subscriber = 3.62%
Hence, The rate of change in number of subscriber for the six years is 3.62% . Answer
if w = -2 and V = -8 which of the following Expressions shown the values correctly substituted and for the valuables in the expression w^2 - v + 1
Answer:
13
Step-by-step explanation:
w^2=(-2)(-2)=4
4-(-8)+1=4+8+1=12+1=13
8(90 +6)-4b use d = 8 and b = 3
Answer:
756
Step-by-step explanation:
8(90 +6)-4b
Plug in known values
8(90 + 6) - 4(3)
Solve
720 + 48 - 12
768 - 12
756
Hope this helps :)
Graph y= 1/3x+3 .I just need to know the plots
[tex]y = 1.3x + 3[/tex]
What is the equation for the line that passes through the points (-1,-2) and (2,4)
Answer:
y+2=2(x+1)
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(4-(-2))/(2-(-1))
m=(4+2)/(2+1)
m=6/3
m=2
y-y1=m(x-x1)
y-(-2)=2(x-(-1))
y+2=2(x+1)
In the figure above, sin 52=17/c. Based on the figure, which of the following equations is also true
A. Sin 38= c/17
B. Cos 38=17/c
C. Cos 52=17/c
D. Tan 52=c/17
Answer:
c. Cos 52 = 17/c
Step-by-step explanation:
sin(x) = cos(90-x)
Based on the given figure if sin52=17/c if trigonometric ratio then the correct option is C)cos38=17/c
What is trigonometric function?The trigonometric functions are the ratio of the sides of a right angled triangle. Sin, cos, tan, cosec, sec,cot are the trigonometric functions.
How to calculate trigonometric ratios?We have been given sin 52=17/c
We know that sin x= cos(90-x)
sin52=cos(90-52)=cos 38
So the value will be cos38=17/c
Hence the correct answer is cos38=17/c.
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Ian Multiples a number by 5. The product of the two number is 495. What number does Ian multiply by 5?. Explain.
Answer: 99.
Step-by-step explanation: To answer this, you must reverse the operation to find the number being multiplied. The operation done: multiplication. Multiplication in reverse: division. 495 divided by 5 is 99.
Answer:
The other number is 99.
Step-by-step explanation:
"Ian multiplies a number by 5. The product of the two numbers is 495".
Therefore que know that 5 · x (a number we don't know yet) = 495.
This is an equation.
[tex]5*x=495\\[/tex] - To solve it we need to clear the equation.
Thus,
[tex]x=\frac{495}{5}[/tex]
x = 99
Krista bought the same number of pencils and erasers with $252. Each eraser costs $18. How many erasers did she purchase?
Answer:
7 erasers
Step-by-step explanation:
Since we know that she bought the same exact amount of pencils and erasers, we can assume that they are the same price. So, to find how many things she can purchase, divide 252 by 18, which will give you 14.
Then, since she bought the same number of pencils and erasers, divide 14 by 2, which is 7. So, Krista bought 7 pencils and 7 erasers.
You can check your work by multiplying 7 by 18 and adding that to 7 multiplied by 18. You'll get 252, which is the amount Krista started with.
Hope this helps! :)
Answer:
14 erasers.
Step-by-step explanation:
Just simple division!
252/18=14
What’s the minimum cuts needed to cut a circle into 8 equal parts
Answer:
4 cuts
Step-by-step explanation:
you first do a vertical cut
then a horizontal cut
then two diagonal cuts
Answer:
4 cuts
Step-by-step explanation:
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Consider the function. f(x)=2x-6 Match each transformation of f(x) with its description.
g(x)=2x-2 g(x)=2x-14 g(x)=2x-10 g(x)=8x-24 g(x)=8x-4 g(x)=8x-6
shifts f(x) 4 units down stretches f(x) by a factor of 4 away from the x-axis shifts f(x) 4 units right compresses f(x) by a factor of toward the y-axis
Answer:
See below
Step-by-step explanation:
Parent function is:
f(x) = 2x - 6Transformations are:
shifts f(x) 4 units down
f(x) → f(x) - 4 ⇒ g(x)= 2x - 6 - 4 = 2x - 10stretches f(x) by a factor of 4 away from the x-axis
f(x) → 4*f(x) ⇒ g(x) = 4(2x - 6) = 8x - 24shifts f(x) 4 units right
f(x) → f(x - 4) ⇒ g(x) = 2(x - 4) - 6 = 2x - 14compresses f(x) by a factor of toward the y-axis (must be 4)
f(x) → f(4x) ⇒ g(x) = 2*4x - 6 = 8x - 610 1/4 x 3 3/5 what is the answer?
Answer:
369/10
Step-by-step explanation:
10 1/4=41/4
3 3/5=18/5
----------------
(41/4)(18/5)=738/20
simplify
369/10
Answer:
36 9/10
How to Solve:
First you must convert 10 1/4 into an improper fraction. To do that you must multiply ten by four and add one. The total of that will become the new numerator and the denominator will stay the same.
10 1/4 → 41/4
Next you should also convert 3 3/5 into an improper fraction. To do that you must multiply three by five and add three. The total of the will become the new numerator and the denominator will stay the same.
3 3/5 → 18/5
Now multiply the numerators.
41 × 18= 738
Now multiply the denominators.
4 × 5 = 20
Apply the new numerator and denominator into a fraction.
738/20
Now you simplify the fraction by dividing both the numerator and denominator by two.
738/20 ÷ 2/2 = 369/10
Finally, the improper fraction must be converted into a mixed fraction.
369/10 → 36 9/10
Therefore, 10 1/4 times 3 3/5 equals 36 9/10
What is the value of the expression
0.5 + (-3/4) + 0.25 - (-4/5)
Explain your answer
Answer:
0.8
Step-by-step explanation:
We begin with the expression: [tex]0.5+(-\frac{3}{4} )+0.25-(-\frac{4}{5} )[/tex]
First, we need to convert the fractions into decimals to make this easier.
[tex]-\frac{3}{4}=-0.75[/tex] and [tex]-\frac{4}{5} =-0.8[/tex]
Once we have this, we can simplify it
[tex]0.5-0.75+0.25-(-0.8)\\\\0.5-0.75+0.25+0.8\\\\0.75-0.75+0.8\\\\0.8[/tex]
A cyclist rides her bike at a rate of 21 kilometers per hour. What is this rate in kilometers per minute? How many kilometers
will the cyclist travel in 2 minutes? Do not round your answers.
Answer:
Step-by-step explanation:
The cyclist's speed is 0.35 kilometers per minute. She will travel 0.7 kilometers in 2 minutes.
Explanation:The question deals with converting speed from kilometers per hour to kilometers per minute, and also calculating distance given a certain time and speed.
First, we convert speed from kilometers per hour to kilometers per minute. There are 60 minutes in an hour, so we divide the speed of the cyclist (21 kilometers per hour) by 60: 21/60 = 0.35 kilometers per minute.
Next, we calculate the distance the cyclist will travel in 2 minutes. Distance equals rate times time, so we multiply the cyclist's speed by the time: 0.35 kilometers per minute * 2 minutes = 0.7 kilometers.
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Joannas pay for working overtime,p,varies jointly as the number of hours she works ,n, and her hourly pay rate,r,and p=$103.44 when n=8 hours and r=$8.62. Find n when p=$213.75 and r=$9.50
n = 15 when p=$213.75 and r=$9.50
Step-by-step explanation:
Given
p = overtime pay
n = number of hours
r = hourly pay rate
It is also given that the pay for working hours varied directly with Number of hours and hourly pay rate jointly
So
It can be denoted as:
p ∝ nr
It can also be written as:
[tex]p = knr[/tex]
where k is the constant of proportionality
Putting the given values of p,n and r in the equation
[tex]103.44 = k * 8 * 8.62\\103.44 = 68.96k\\k = \frac{103.44}{68.96}\\k = 1.5[/tex]
So the equation is now,
p = 1.5nr
Putting
p = 213.75
r = 9.50
[tex]213.75 = 1.5 * n * 9.50\\213.75 = 14.25n\\n = \frac{213.75}{14.25}\\n = 15[/tex]
Hence,
n = 15 when p=$213.75 and r=$9.50
Keywords: Proportion variation
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Explain how to use 2s facts to find 4 x 9
Answer:
36
Step-by-step explanation:
when you multiply 2x9 you get 18 and since 2 is half of 4 that means you have to do that twice so do 2x9 again and add both of them up to get a product of 36
The solution to the expression 4 × 9 using 2's facts is;
36
2's facts is basically a method of multiplication whereby we are trying to simplify the expression such that we can call it double.For example; 2 × 5 means double of 5 which is 10.
Let us apply the concept of 2's facts to the given expression in the question;We are given; 4 × 9
Now, we know that 4 is a double of 2 and so we have;
2 × 2 × 9
Since we want to express the result as a double, let us multiply one of the 2 by 9 and retain the other 2.
2 × 9 means double of 2 and it is 18
Then we now have 2 × 18 which implies double of 18 which is 36.
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midpoint (-19,-18) endpoint (-14,-19)
Answer:
Co-ordinates of endpoint is (-24,-17)
Step-by-step explanation:
The question should be given as :
Find the coordinates of the other endpoint of the segment, given its midpoint (-19,-18) and one endpoint (-14,-19).
Step-by-step explanation:
Given point:
Endpoint (-14,-19)
Mid-point of segment (-19,-18)
Let endpoint have co-ordinates [tex](x_2,y_2)[/tex]
Using midpoint formula:
[tex]M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
Where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are co-ordinates of the endpoint of the segment.
Plugging in values to find the midpoint of segment.
[tex]M=(\frac{-14+x_2}{2},\frac{-19+y_2}{2})[/tex]
We know [tex]M(-19,-18)[/tex]
So, we have
[tex](-19,-18)=(\frac{-14+x_2}{2},\frac{-19+y_2}{2})[/tex]
Solving for [tex]x_2[/tex]
[tex]\frac{-14+x_2}{2}=-19[/tex]
Multiplying both sides by 2.
[tex]\frac{-14+x_2}{2}\times 2=-19\times 2[/tex]
[tex]-14+x_2=-38[/tex]
Adding both sides by 14.
[tex]-14+x_2+14=-38+14[/tex]
∴ [tex]x_2=-24[/tex]
Solving for [tex]y_2[/tex]
[tex]\frac{-19+y_2}{2}=-18[/tex]
Multiplying both sides by 2.
[tex]\frac{-19+y_2}{2}\times 2=-18\times 2[/tex]
[tex]-19+y_2=-36[/tex]
Adding both sides by 19.
[tex]-19+y_2+19=-36+19[/tex]
∴ [tex]y_2=-17[/tex]
Thus co-ordinates of point N is (-24,-17)
I need some help please and thank you
Answer:
1/4
Step-by-step explanation:
The probability of pulling a blue marble is 5/10 = 1/2
The probability of pulling a blue marble twice is 1/2 * 1/2 = 1/4
Help asap!!! Midterms
Answer:
The value of x is 5.
Step-by-step explanation:
Label the diagram such as
Given:
AD= x
DB= x +5
AE = x - 2
EC = x + 1
DE || BC
To Find:
x = ?
Solution:
Basic Proportionality Theorem:
"If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio".
DE || BC
∴ [tex]\dfrac{AD}{DB}= \dfrac{AE}{EC}[/tex] ...Basic Proportionality Theorem
Substituting the values in it we get
[tex]\dfrac{x}{x+5}= \dfrac{x-2}{x+1}\\x(x+1)=(x+5)(x-2)\\\\x^{2}+x= x^{2}+3x-10\\ -2x=-10\\\\x=\dfrac{10}{2}=5\\ \\\therefore x =5[/tex]
The value of x is 5.
2 ratios equivalent to 3:12
Answer:
6:24
12:48
Step-by-step explanation:
3 : 12
x2
6:24
x2
12:48
:)
Answer: 1 : 4 and 2 : 8
Step-by-step explanation: To find 2 different ratios that are equal to the ratio 3:12, we first rewrite the ratio 3:12 as the fraction 3/12. Notice that we can find 1 of our equal ratios by simply writing this fraction in lowest terms. if we divide both the numerator and denominator of 3/12 by their greatest common factor of 3, we get the equal ratio 1/4.
Now we can use 1/4 to find another equal ratio. If we multiply both the numerator and denominator of 1/4 by 2, we get the equal ratio 2/8.
Finally, remember to write these ratios using the same form as the original problem. 1 : 4 and 2 : 8.
Which name accurately describes the figure shown below and why?
Need asap plz
parallelogram, because the figure has two pairs of parallel sides
parallelogram, because the figure has exactly one pair of parallel sides
trapezoid, because the figure has two pairs of parallel sides
trapezoid, because the figure has exactly one pair of parallel sides
Answer:
Step-by-step explanation:
parallelogram, because the figure has exactly one pair of parallel sides
CIRCLES!! Need help
Picture:
Answer all or just one please I need help and answers!!!
Answer for the question No.17
Answer:
[tex]x=28.11\ degree[/tex]
[tex]m\angle\ ABC=28.11\ degree[/tex]
Step-by-step explanation:
Answer for the question No.17
Given:-
[tex]\angle\ BAD=(5x+10)\ degree[/tex]
[tex]\angle\ ADC=(87)\ degree[/tex]
[tex]\angle\ DCB=(3x+10)\ degree[/tex]
Let,[tex]m\angle\ ABC=x[/tex]
In quadrilateral ABCD,
[tex]\angle\ BAD+\angle\ ABC+\angle\ DCB +\angle\ ADC =360\ degree[/tex] ---(sum of angle of quadrilateral is 360 degree)
[tex]\therefore\ (5x+10)+x+(3x+10)+87=360[/tex]
[tex]9x+107=360[/tex]
[tex]9x=360-107[/tex]
[tex]9x=253[/tex]
[tex]x=\frac{253}{9}[/tex]
[tex]\therefore\ x=28.11\ degree[/tex]
SInce x=[tex]m\angle ABC[/tex]
[tex]\therefore\ m\angle\ ABC=28.11\ degree[/tex]