1)Plane
2)Perpendicular Lines
3)Parallel lines
4)Circle
5)Angles
Final answer:
The five geometric terms—Plane, Perpendicular Lines, Parallel Lines, Circle, and Angle have been matched with their respective definitions using principles of Euclidean geometry.
Explanation:
Matching the geometric terms with their definitions will allow you to better understand the basic concepts of Euclidean geometry.
Plane: A flat surface that extends infinitely and has no depth; it has length and width.
Perpendicular Lines: Two lines that intersect at 90° angles.
Parallel Lines: Two lines that lie within the same plane and never intersect.
Circle: A set of all points in a plane that are a given distance from a point.
Angle: A figure consisting of two rays with a common endpoint.
Now you can match the terms to their definitions:
Plane - Definition 1
Perpendicular Lines - Definition 2
Parallel Lines - Definition 3
Circle - Definition 4
Angle - Definition 5
An office supply store carriers a all-in-one printer with a regular price of $240. The printer is on sale at 15% off. In addition, the store is offering a $20 mail-in rebate. How much will it cost a customer to purchase this printer, including 5% sales tax on the in-store purchase price?
Answer:
Price of the printer is = $193.20
Step-by-step explanation:
Office supply store purchased an all in one printer wit a regular price = $240
After 15% off price of the printer = $240 - 15% of $240
= [tex]240-\frac{15\times 240}{100}[/tex]
= 240 - 36
= $204
The store is offering $20 mail in rebate so the price of printer after rebate
= $204 - $20
= $184
Now price of the printer including sales tax = 184 + 5% of 184
= 184 + [tex]\frac{5\times 184}{100}[/tex]
= 184 + 9.20
= $193.20
Answer:
284.20
Step-by-step explanation:
THIS IS THE ANSWER I HAD THE SAME QUASTION!!!!!
Solve the equation by completing the square:
8x^2 +16x=42
x = -7/2 and 3/2
//Hope this helps
Which choice shows the students listed in order from who has the least amount of money to who has the greatest amount of money
Step-by-step explanation:
Should be Emily, Morgan, Kali, Rosa
Solve the equation above 2x+18=7x-30
Answer:
9.6
Step-by-step explanation:
✯Hello✯
↪ so first we need to 'kill' the smaller x. This can be done by taking 2x from 7x
↪ That leaves us with 18= 5x-30. Add 30 on both sides and we get 48=5x
↪ we divide by 5 on both sides
↪ that gives us 9.6
HOPE THIS HELPS
❤Gianna❤
To solve the equation 2x+18=7x-30, subtract 2x from both sides, add 30 to both sides, and divide both sides by 5 to find x = 9.
Explanation:To solve the equation 2x+18=7x-30, we need to isolate the variable x on one side of the equation. First, we can start by simplifying both sides of the equation. Subtracting 2x from both sides gives us 18 = 5x - 30. Next, we can add 30 to both sides to get rid of the -30 on the right side. This gives us 48 = 5x. Finally, divide both sides by 5 to solve for x. The final solution is x = 9.
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the quotient of 100 and the sum of b and 24
To find the quotient of 100 and the sum of b and 24, divide 100 by the sum of b and 24.
Explanation:The quotient of 100 and the sum of b and 24 can be found by dividing 100 by the sum of b and 24. This can be expressed as:
Quotient = 100 / (b + 24)
For example, if b is 5, the sum of b and 24 is 29. So, the quotient of 100 and 29 would be approximately 3.4483.
Deanna's scores for a computer game are 18, 20, 22, 25, 12, and 20. Lilly's scores are 20, 20, 21, 21, 16, and 16. Who has the higher mean score? By how much?
Answer: Deanna has the higher mean score by .5
Step-by-step explanation: The important piece of information to remember here is that the mean is the average. In order to solve the question, the first thing that you need to do is calculate the average of each of their scores.
Deanna = 18+20+22+25+12+20 = 117
The mean = 117/6 = 19.5
Lilly = 20+20+21+21+16+16 = 114
The mean - 114/6 = 19
HELP IM TIMED
The triangles are isosceles and ABC:JKL what is the length of JL
The employer pays an amount to the Social Security Administration equal to the tax paid by the employee. is this true or false
Answer:
False
Step-by-step explanation:
The employer pays an amount to the Social Security Administration that equals the amount paid by the employee to the Social security Administration.Workers pay 6.2% of the earnings up to the cap where as the employers pay a matching amount to result to a combined contribution of 12.3% of earnings.
I don’t understand this!!! Can someone please explain it to me? ASAP! Thank you all even if you don’t know how to do it
Answer:
615.6
Step-by-step explanation:
First find the number of cubic feet.
V = B * h
B is a triangle with a right angle on your left and two 6 foot lengths on each leg.
Area = 1/2 b * h
b = 6 feet
h = 6 feet
Area = 1/2 * 6 * 6 = 18 square feet.
The volume = B * h
h = 11.4
B = 18 sq ft
Volume = 18 * 11.4
Volume = 205.2 Cubic Feet.
Each cubic foot costs 3.00 dollars
Cost = volume * cost/cu foot
Cost = 205.2 * 3
Cost = 615.6
What is the measure of an inscribed angle that intercepts an arc whose measure is 70 degrees
35
70
140
None of the above
35 is the answer for this question hope it helps
(Please help) The histogram shows the times and the amount of people who finished a local marathon. Which choice below is NOT true?
Answer:
As age increases. the number of marathon participants always increases.
Why:
After 35-39, the amount of participants per age group decreases.
The incorrect option among the options is
As age increases the umber of marathon participants always increases
What is a histogram?A histogram is a graphical representation of the distribution of a dataset. It is a type of bar chart that displays the frequency or relative frequency of different categories or ranges of a continuous variable.
Histograms provide a visual summary of the underlying probability distribution of a set of continuous or discrete data.
Th option is incorrect because the number of marathon participants started dropping from age 44
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I WILL AWARD BRAINLIEST!!! PLEASE HELP!!
1) Rewrite the expression without using absolute value |2x−8| , if x<4
Answer:
8 - 2x
Step-by-step explanation:
|2x -8| , x < 4
Two conditions:
(a) |2x - 8| = (2x - 8) if (2x - 8) ≥ 0
(b) |2x - 8| = -(2x - 8) if (2x - 8) < 0
If x < 4, (2x - 8) <0, so condition (b) applies.
|2x - 8| = -(2x - 8) or
|2x - 8| = 8 - 2x
The equivalent expression is 8 - 2x.
WILL GIVE BRAINLIEST!!!
The number of angles that are alternate exterior angles with angle 5 is equal to 1.
What are parallel lines?In Mathematics, parallel lines are two lines that are cut through by a transversal and they always have the same (equal) distance apart and never meet.
What is the alternate exterior angle theorem?In Mathematics, the alternate exterior angle theorem states that when two (2) parallel lines are cut through by a transversal, the alternate exterior angles that are formed lie outside the two (2) parallel lines, are located on opposite sides of the transversal, and are congruent angles.
In conclusion, we can logically deduce that both m∠5 and m∠11 are alternate exterior angles because they lie outside the two (2) parallel lines and are located on opposite sides of the transversal.
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In Mrs. Floyd's kindergarten class, children make handprints in a round clay mold for their parents. The mold has a radius of 2 inches. What is the mold's area? Use 3.14 for .
Answer:
A= 12.56
Step-by-step explanation:
A= 3.14 x r^2
A= 3.14 x 2^2
Find the limit of the function by using direct substitution.
limit as x approaches zero of quantity x squared minus one.
ANSWER
[tex]lim_{x \to \: 0}( {x}^{2} - 1) = - 1[/tex]
EXPLANATION
The given limit is
[tex] lim_{x \to \: 0}( {x}^{2} - 1) [/tex]
To evaluate this limit by direct substitution,
We put x=0 in the function.
This implies that that ,
[tex] lim_{x \to \: 0}( {x}^{2} - 1) = {0}^{2} - 1[/tex]
This simplifies to,
[tex] lim_{x \to \: 0}( {x}^{2} - 1) = 0 - 1[/tex]
[tex] lim_{x \to \: 0}( {x}^{2} - 1) = - 1[/tex]
This means that as x-values approach zero, the function approaches -1.
Answer:
-1
Step-by-step explanation:
For direct substitution, all you have to do is fill in the limit for x and solve... so the limit would be 0 in this case.
x^2-1
0^2-1
-1
Line m is parallel to the y-axis, and its slope is _____.
positive
negative
undefined
0
The answer is Undefined
Answer:
undefined
Step-by-step explanation:
The y-axis is a vertical line.
The point [tex](0,y_1)[/tex] and[tex](0,y_2)[/tex] lies on the y-axis.
The slope of this line is
[tex]=\frac{y_2-y_1}{0-0}[/tex]
[tex]=\frac{y_2-y_1}{0}[/tex]
Division by zero is undefined.
All vertical lines have undefined slopes because they are parallel to the y-axis.
Therefore the slope of m is undefined.
Which of the following values have 3 significant figures ? 85.3,36.05,50,121
Answer:
Step-by-step explanation:
The following have 3 significant figures: 85.3, 121.
The following have more or fewer significant figures than 3: 36.05, 50
input the equation of the given line in slope-intercept form. the line with m=2 and b=-4
Answer:
y = 2x - 4Step-by-step explanation:
The slope-intercept form:
y = mx + b
We have m = 2 and b = -4. Substitute:
y = 2x - 4
Fourteen students bought their art teacher a new easel for $129 and a set of blank canvases for $46. Sales tax was $10.50. They shared the cost equally. Write an expression to show how you could calculate the amount each student paid
13.......................
Answer:
The answer is (d) ⇒ [tex]pq^{2}r\sqrt[3]{pr^{2}}[/tex]
Step-by-step explanation:
* To simplify the cube roots:
If its number then the number must be written in the form x³
then we divide the power by 3 to cancel the radical
If its variable we divide its power by 3 to cancel the radical
∵ [tex]\sqrt[3]{p^{4}q^{6}r^{5}}=p^{\frac{4}{3}}q^{\frac{6}{3}}r^{\frac{5}{3}}}[/tex]
∴ [tex]p^{\frac{4}{3}}q^{2}}r^{\frac{5}{3}}=p^{1\frac{1}{3}}q^{2}r^{1\frac{2}{3}}[/tex]
∵ [tex]p^{\frac{1}{3}}=\sqrt[3]{p}[/tex]
∵ [tex]r^{\frac{2}{3}}=\sqrt[3]{r^{2}}[/tex]
∴ [tex]p(p)^{\frac{1}{3}}q^{2}r(r)^{\frac{2}{3}}=p(\sqrt[3]{p})q^{2}r(\sqrt[3]{r^{2}})[/tex]
∴ [tex]prq^{2}\sqrt[3]{pr^{2}}}[/tex]
∴ The answer is (d)
how to simplify |x + 120| when x < -120
Start with definition of absolute value, |x|.
It says,
|x| = x, for any x >= 0 and
|x| = -x, for any x < 0
Now, instead of x, we have the expression x+120 inside the absolute value brackets:
|x+120|
Play the same game as above - what is the absolute value here?
|x+120| = x+120 for (x+120)>=0 and
|x+120| = -(x+120) for (x+120)<0
Now, recognize that the last condition (x+120)<0 is the same as writing x<-120. That is the condition in the question. Therefore the absolute value |x+120| will equal the second expression (for that condition), namely -(x+120), or -x-120.
To simplify |x + 120| when x is less than -120, you change the sign of the expression inside the absolute value to get the simplified form as -x - 120.
To simplify |x + 120| when x < -120, we need to consider the definition of absolute value. The absolute value of a number is the non-negative value of that number without regard to its sign. Since x is less than -120, x + 120 is a negative number, and to find its absolute value, we change the sign to positive.
Therefore, the simplification of |x + 120| when x < -120 is simply -(x + 120), which equals -x - 120.
Carlotta needs 12 1/4 yards of ribbon for a project. She has 5 1/4 yards of ribbon on one spool and 2 1/2 yards on another spool. How much more ribbon does she need?
Answer:
11 1/2 yards more. 5+2 is 7. 1/2 + 1/4 = 3/4. 12 1/4 - 73/4 = 11 1/2
Step-by-step explanation:
What is the surface area of the regular pyramid given below?
Answer: the answer is 189 units^2
Step-by-step explanation: Apex
The surface area of the given regular pyramid is 140 units^2, calculated using the formula Surface Area = B + 1/2Pl, where B is the base area, P is the perimeter of the base, and l is the slant height.
The surface area of a regular pyramid is calculated by adding the area of the base to the total area of the triangular faces.
The formula to calculate this is: Surface Area = B + 1/2Pl, where B is the base area, P is the perimeter of the base, and l is the slant height.
Given the dimensions, 10cm is base and 7cm as a slant height, we can calculate that the base area (B) is 100 cm2 and the perimeter (P) is 40 cm.
Plugging these values into the surface area formula, we find that the surface area is 140 cm2 (100 cm2 for the base and 140 cm2 for the triangular faces).
Therefore, the correct answer is B. 140 units2.
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what is 2x squared plus x squared
The answer is 3x²
It’s actually pretty easy. If you have to like terms (in this case, they both have x²) then you just add the number in the front, or the coefficients! If it doesn’t have a number at the front ALWAYS assume it’s one.
2+1=3
2x²+(1)x²=3x²
The value of 2x² plus x² is; 3x².
Addition of polynomialsAccording to the question;
The polynomial to be added are;
2x² and x².Hence;
2x² + x² = 3x².Read more on polynomial addition;
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Which gives the missing value in 2/5/=x/30
Answer:
x=12!
Step-by-step explanation:
Answer:
X=12
Step-by-step explanation:
[tex]\frac{2}{5}[/tex] = [tex]\frac{x}{30}[/tex]
cross multiply:
30 x 2 = 60
5 x x = 5x
and you get:
60=5x
x=12
plz give brainliestttt
I only need help with number 7
a,c,d are all correct
PLZ HELP! Need this DESPERATELY! Worth 15 points and will mark Brainliest! Thx so much :)
Answer:
Part 1) [tex]a^{b+2}=(x)(a^{2})[/tex]
Part 2) [tex]2a^{3b}+a^{2b}+a^{b}=2x^{3}+x^{2}+x[/tex]
Step-by-step explanation:
Part 1) Given that [tex]a^{b}=x[/tex] evaluate the following
[tex]a^{b+2}[/tex]
we know that
[tex]a^{b+2}=(a^{b})(a^{2})[/tex]
Remember that when multiplying two powers that have the same base, you can add the exponents
[tex]a^{b}=x[/tex]
so
substitute
[tex]a^{b+2}=(x)(a^{2})[/tex]
Part 2) Given that [tex]a^{b}=x[/tex] evaluate the following
[tex]2a^{3b}+a^{2b}+a^{b}[/tex]
we know that
[tex]2a^{3b}+a^{2b}+a^{b}=2(a^{b})^{3}+(a^{b})^{2}+a^{b}[/tex]
Remember that
[tex]a^{b}=x[/tex]
so
substitute
[tex]2a^{3b}+a^{2b}+a^{b}=2x^{3}+x^{2}+x[/tex]
36÷(6÷3) plz helppppooooop
Answer:
18
Step-by-step explanation:
Divide with by paratheses first. Use PEMDAS method
Answer:
36÷(6÷3) = 18
Step-by-step explanation:
First, you would solve what is in the parentheses.
36÷(6÷3) = 36÷(2) Now, find 36÷2
= 36÷2 = 18
so, 36÷(6÷3) = 18
A long distance phone company charges $1.01 for the first 25 minutes of a call, and then 99 cents for each additional minute. A call costs $9.56. How long did it last?
Your answer is 303 minutes in $9.56
For what value is both p^r true and q false
The disjunction p ∨ q is false when both p and q are false and is true otherwise. Upgrade to ... (The truth value of the hypothesis does not matter then.) Converse.