a) What is the size of angle ABC?
b) Use your answer to part a) to work out the size of reflex angle CBD.
Give your answers to the nearest degree.
Answer:
a. 120 Degrees
b. 180-120=60 60 Degrees
Step-by-step explanation:
A straight line has a maximum of 180 degrees.
ABC is 120, so CBD is 60
a) The size of angle ABC is 120 degrees.
b) The size of reflex angle CBD is 240 degrees.
a) The size of angle ABC is 120 degrees by inspecting at the protractor and counting from 0° 1o 120°
Reflex angles are formed by extending one of the sides of an angle beyond the straight line, creating an angle greater than 180 degrees. They can be visualized as the "extra" portion of a rotation around a point, beyond the 180-degree mark
b) To determine the size of reflex angle CBD, consider that a reflex angle measures more than 180 degrees but less than 360 degrees. Since angle ABC is 120 degrees, subtract this angle from 360 to find the remaining measure of the reflex angle CBD.
Reflex angle CBD = 360 degrees - 120 degrees
= 240 degrees.
Therefore, the size of reflex angle CBD is 240 degrees.
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Solve the equation:
4x-x=600
Answer:
x=200
Step-by-step explanation:
4x-x=600
3x=600
divide by 3
x=200
to check your work:
4(200)-200=600
800-200=600
Solve the equation and enter the value of x below.
6x + 3 = 27
X=
Answer:
x=4
Step-by-step explanation:
6x+3 = 27
Subtract 3 from each side
6x+3-3=27-3
6x = 24
Divide each side by 6
6x/6 = 24/6
x = 4
Answer:
x=4
Step-by-step explanation:
6x+3=27
6x=24
x=4
A plane contains 9
distinct horizontal lines and
9
distinct vertical lines. These lines divide the
plane into separate regions. How many of these
separate regions have a finite, nonzero area?
A finite, nonzero area formed by the lines would have a fixed measurement
The number of separate region that have a finite, nonzero area is 64
How to determine the number of separate regions?The given parameters are:
Horizontal lines, h = 9Vertical lines, v = 9The number (n) of separate region that have a finite, nonzero area is calculated as:
n = (h - 1) * (v - 1)
This gives
n = (9 - 1) * (9 - 1)
Evaluate the product
n = 64
Hence, the number of separate region that have a finite, nonzero area is 64
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What is the value of X
Using sines
sin alpha= a/c
sin 23° = x/13
x= sin 23° ×13
x≈ 5.08
solve pls brainliest
Answer:
2n+22
Step-by-step explanation:
22 more than twice a number
n represents the number.
twice a number --> 2n
22 more than --> +22
2n+22
Hey there!
Guide:
• Difference means subtract/subtraction
• Product means multiply/multiplication
• Quotient means divide/division
• Sum means add/addition
• “more than”, “greater than” or “increased by” either means add/addition or >
• “less than, “smaller than”, or “decreased by” either means subtract/subtraction or <
• “unknown number” is a number we’re NOT so sure yet so we label them as variables. A variable is any letter from A to Z.
ANYWAYS, LETS ANSWER the QUESTION
“22 more than 2 twice a number”
• Since, your instructions say that “n” will be the unknown number, we should label the unknown number as that!
“22 MORE THAN twice a NUMBER”
This could be simply written as:
“22 > 2n” or even “2n + 22”
But we will just say that’s [2n + 22] would mostly fit this scenario
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
12% of what number is 96? Enter your answer in the box.
Answer:
800
Step-by-step explanation:
96/12=8
8 x 100= 800
Answer:
Your answer is 800
Step-by-step explanation:
at the clothing store 1/8 of the plots arch shirts of the shirt .1/4 are green what fraction of the clothing and the store are green shirts
Answer:
Diana works at a clothing store. She sold 1/5 of the total number of green shirts on Monday and 3/12 of the total number of green shirts on Tuesday.
please help fast!!! a shirt is regularly priced at $35.50 if it is discounted by 45% what is the sales price
Do u guys have apps for solving geometry/ triangle problems????
This is the best I could find
Some recommended apps for solving geometry and triangle problems are "Ge oGebra," "De smos Geometry," and "Ma thway."
Ge oGebra: Ge oGebra is a versatile mathematics app that covers various topics, including geometry and triangles. It provides interactive tools for constructing and analyzing geometric shapes, making it a valuable resource for visualizing and understanding different properties and theorems related to triangles.
De smos Geometry: While De smos is primarily known for its graphing capabilities, the De smos Geometry app also offers tools for creating and manipulating geometric shapes, including triangles. It can help users explore and solve various triangle-related problems.
M athway: M athway is a comprehensive math problem-solving app that covers a wide range of topics, including geometry and triangles. Users can input specific problems, and the app provides step-by-step solutions, making it a helpful tool for both learning and verifying answers to geometry and triangle problems.
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------------The given question is incomplete, the complete question is:
"What are some recommended apps for solving geometry and triangle problems?"-------------
If the measure of angle 4 is 70 degrees, what is the measure of angle 1?
Answer:
angle 1= 110 degrees
Step-by-step explanation:
A line = 180 degrees
Since angle 1 and 4 make a line then both of them have to equal 180 degrees.
So, you would just subtract 180-70(angle 4)= 110 which gives you angle 1.
You could do the same with angle 4 and 3, angle 3 and 2, and angle 2 and 1 since they all form a line.
someone help me please
Answer:
x ≈ 5.8 degrees
Step-by-step explanation:
the sum of all exterior of any polygon is 180 degrees
so: 7x+4 + 5x+4 + 4x+9 + 9x-6 + 4x+1 = 180
combine 'like terms':
29x + 12 = 180
29x = 168
x ≈ 5.8
A pound of clementines costs $2.49 and ms. wild buys 1.8 pounds. how much did she spend?
Answer:
i believe she spent $4.482 on clementines
Which equation could john solve to find w, the greatest width in centimeters he can use for the mosaic? w(w – 2) = 48 w(w 2) = 48 2w(w – 2) = 48 2w(w 2) = 48
The equation solved by the John to find w, the greatest width in centimeters he can use for the mosaic, is w(w + 2) = 48.
How to find the area of a rectangle?Area of a rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,
[tex]A=a\times b[/tex]
Here, (a)is the length of the rectangle and (b) is the width of the rectangle
The area of the tile is 48 square cm. John wants to make the mosaic with this tile having the length 2 cm longer than the width.
Let the width of the rectangle mosaic is w cm. Thus, the length of it is,
[tex]l=w+2[/tex]
As the area of a rectangle is the product of its length and width and Tte area of the tile is 48 square cm. Thus,
[tex]A=l\times w\\48=(w + 2)\times w \\48=w(w+2)\\w(w+2)=48[/tex]
The equation which John solve to find w, the greatest width in centimeters he can use for the mosaic is
[tex]w(w+2)=48[/tex]
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Answer:
B. w(w + 2) = 48
Step-by-step explanation:
I just took the quiz.
Have the day you deserve :)
I’ll give you brainiest who ever answer this right
Answer:
y=x+1
Step-by-step explanation:
at each x you move up by 1
A triangle has an angle that measures 90°. The other two angles are in a ratio of 2:7. What are the measures of those two angles?
Answer:
70° and 20°
let the other 2 angles be 7x and 2x
90+7x+2x=180
9x=180-90
x=90/9
x=10
7x=7x10
70
2x=2×10
2p
64, –48, 36, –27, ... which formula can be used to describe the sequence? f(x 1) = three-fourthsf(x) f(x 1) = negative three-fourthsf(x) f(x) = three-fourthsf(x 1) f(x) = negative three-fourthsf(x 1)
The formula which can be used to describe the sequence of provided series is f(x+1) =-(3/4) × f(x).
What is geometric sequence?Geometric sequence is the sequence in which the next term is obtained by multiplying the previous term with the same number for the whole series.
The relation formula can be used to describe such sequence are,
[tex]f(x+1)=r\times f(x)[/tex]
Here, r is the common ratio.
The given sequence is,
[tex]64, -48, 36, -27, ...[/tex]
In the above sequence, the next term has opposite sign to its previous term. The common ratio between the two terms is,
[tex]r=\dfrac{-48}{64}=-\dfrac{3}{4}\\r=\dfrac{36}{-48}=-\dfrac{3}{4}\\r=\dfrac{-27}{36}=-\dfrac{3}{4}[/tex]
The common ratio of the sequence is -3/4. Put this value in the above formula as,
[tex]f(x+1)=-\dfrac{3}{4}\times f(x)[/tex]
Hence, the formula which can be used to describe the sequence of provided series is f(x+1) =-(3/4) × f(x).
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Answer:
B
Step-by-step explanation:
edge
Which expressions represent rational numbers? select all the apply. startroot 100 endroot startroot 100 endroot 13.5 startroot 81 endroot startroot 9 endroot startroot 729 endroot startroot 64 endroot startroot 353 endroot one-third startroot 216 endroot three-fifths 2.5
The expressions are irrational 1/3 + √216 and √64+ √353 and the expressions √100 × √100, 13.5 + √81, √9 + √729, and 1/5 + 2.5 are rational number.
What is a rational number?If the value of a numerical expression is terminating then they are the rational number then they are called the rational number and if the value of a numerical expression is non-terminating then they are called an irrational number.
1. √100 × √100
→ √100 × √100
→ 10 × 10 = 100
This is a rational number.
2. 13.5 + √81
→ 13.5 + √81
→ 13.5 + 9 = 22.5
This is a rational number.
3. √9 + √729
→ √9 + √729
→ 3 + 27 = 30
This is a rational number.
4. √64+ √353
→ √64 + √353
→ 8 + √353
This is an irrational number.
5. 1/3 + √216
→ 1/3 + √216
→ 1/3 + √216
This is an irrational number.
6. 1/5 + 2.5
→ 1/5 + 2.5
→ 0.2 + 2.5 = 2.7
This is a rational number.
More about the rational number link is given below.
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Answer:
A, B, C, F
Step-by-step explanation:
edge
If coal is mined at $35.99 per short ton, how much is the price per kg? Use dimensional analysis to solve. 1 short ton = 907 kg. Round to the thousandths place and include units in your answer.
The cost of 1kg of coal mined from the ore is $0.0397
Data;
1 ton = $35.991kg = ?The Cost of 1kg of CoalTo find the cost of 1kg of coal, we can simply and equate 1 ton to its equivalent in ton and the solve.
[tex]1ton = 907kg\\[/tex]
let's write this and equate it
1 ton = $35.99
907kg = $35.99
1kg = x
Let's cross multiply both sides and solve for x
[tex]907kg = \$35.99\\1kg = x\\x = \frac{1 * 35.99}{907} \\x = \$0.0397[/tex]
The cost of 1kg of coal is $0.0397
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Assessment started: undefined. Item 1 What is the mean of this data set? {6, 11, 5, 2, 7} Enter your answer as a decimal in the box
The mean of the data set, 6, 11, 5, 2, 7, is: 6.2.
What is the Mean of a Data Set?The mean of a data set is the average of the data points or the sum of all the data points divided by the total number of data points in the data set.
Given the data set, 6, 11, 5, 2, 7:
Mean = (6 + 11 + 5 + 2 + 7)/5
Mean = 31/5
Mean = 6.2
Therefore, the mean of the data set, 6, 11, 5, 2, 7, is: 6.2.
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Answer:
6.2
Step-by-step explanation:
Pleassee helpp, find X.
x=37.5
if you need an explanation i can type it in the comments
Which set of ordered pairs does not represent a function?
O {(8,-4), (-5,6), (-5,7), (-3,-5)}
O{(-1,0), (1,0), (3,-2), (2, -9)}
O {(3,-7), (-2, -9), (9,3), (7, - 7)}
O {(8, –9), (-3,9), (-9,2), (-2,0)}
keeping in mind that a function does not have any X-Repeats, that is, the 1st coordinate in every pair never repeats, Check the picture below.
Brandon has two credit cards and would like to consolidate the two balances into one balance on the card with the lower interest rate. the table below shows the information about the two credit cards brandon currently uses. card a card b amount $1,463.82 $1,157.98 apr 13% 17% monthly payment $24.60 $22.14 after 8 years, how much will brandon have saved in interest by consolidating the two balances? a. $581.76 b. $194.40 c. $256.32 d. $325.44 please select the best answer from the choices provided. a b c d
The amount which Brandon have saved in interest by consolidating the two balances on the card with the lower interest rate is $256.12.
What is monthly payment?Monthly payment is the payment which has to paid against the loan amount or the borrowed money calculated with interest rate.
It can be calculated with the following formula.
[tex]M=P\left (\dfrac{r}{1-(1+r)^{-nt}}\right)[/tex]
Here, (P) is the principal amount, (r) is the interest rate and (t) is time.
Brandon has two credit cards and would like to consolidate the two balances into one balance on the card with the lower interest rate.
The table below shows the information about the two credit cards Brandon currently uses.
Cards Amount APR Monthly PaymentCard a $1,463.82 13% $24.60Card b $1,157.98 17% $22.14
Interest rate for the card a is,
[tex]r=\dfrac{13}{12\times100}=0.01083[/tex]
The time period is 8 years and there are 12 months in one year. Thus, the monthly payment of card A will be,
[tex]M=1157.98\left (\dfrac{0.01083}{1-(1+0.01083)^{-12(8)}}\right)\\M=19.47[/tex]
In the 8 years, there is total 96 monthly payments. Thus, the total payment by card A is,
[tex]P_a=19.47\times96=1869.12[/tex]
For the card B the monthly payment is $22.14. Thus the total payment by card B is,
[tex]P_b=22.14\times96=2125.44[/tex]
The difference in the payment is,
[tex]d=2125.44-1869.12\\d=256.12[/tex]
Hence, the amount which Brandon have saved in interest by consolidating the two balances on the card with the lower interest rate is $256.12.
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Answer:
C. 256.32
Step-by-step explanation:
NEED ANSWERS QUICK! CORRECT ANSWER GETS BRAINLIEST
Find the quotient of 4 5/8 and 2 1/2. Express your answer in the simplest form.
Answer:
1 5/32
Step-by-step explanation:
this is the answer
Answer:
The correct answer is 1 5/32
Step-by-step explanation:
First,convert both of the mixed numbers into improper fractions.Next,do the KCF method.Keep,change,and flip.First,like up 4 5/8 and 2 1/2 next to eachother with a multiplication sign in the middle.(Must be in this order!!)Next,turn the multiplication sign into a division sign.After this,change the second mixed number,and flip the denominator and the numerator.Then simply multiply the top numerators and the denominators.That is where you get you answer, Simplifying may be needed. :)
I need help with this one plis quickly !!!
Answer:
3
Step-by-step explanation:
Hard to see but pretty sure thats it
Reflect the shape A in the line x=-1
What are the coordinates of the vertices of the image?
please answer random who answered my last question
Answer:
(-5,3) (-7,3) (-5,6)
Step-by-step explanation:
So the line x= -1 is also a vertical line but this time it passes through the point (-1,0).
I hope this helps!!
The leading brand of cosmetics in the US had about 20% of the total sales in the industry. The total sales were $ 200,000. What was the leading brands sales? Show your work.
Answer: $40000
Step-by-step explanation:
200000(0.2) = $40000
you buy a fancy 5 year eco light bulb for $9.79. How much does this light bulb cost you per year
center and the radius please!
Davion wants to buy 4 tickets to a basketball game. He sees that there is a discount for $25 o his
entire purchase at checkout, so the tickets would cost him $215 before tax,What was the original
price of each ticket?
Answer:
$60 per ticket
Step-by-step explanation:
$215 is what it costs after the discount, so add the amount taken off, back on.
215+25
240
Then, divide by 4 to find the cost of each individual ticket.
240/4
60