Answers
Answer:
b - correspondinga - alternate interiord - verticalc - alternate exteriore - supplementaryb - correspondingStep-by-step explanation:
This is basically a vocabulary question. Angle pairs around a transversal crossing a pair of parallel lines all have names. Those names are used to refer to different theorems about the relationships of the angles to each other. Once you understand the words being used, the vocabulary is easier to remember.
Linear Pairs and Vertical AnglesAngles formed where one line crosses another form a linear pair if they share a side and the non-shared sides are opposite rays. If they share a vertex, but not a side, they are vertical angles. The angles of a linear pair are supplementary: they total 180°. Vertical angles are supplementary to the same angle, so vertical angles are congruent. These relations hold anywhere lines cross.
__
Angle Names at a TransversalWhere a single line crosses two (parallel) lines, that line is called a "transversal". Four angles will be formed at each intersection. Some of those angles are between the (parallel) lines, so are referred to as interior angles. The ones that are not between the (parallel) lines are referred to as exterior angles. The angles are alternate if they are on opposite sides of the transversal, and they are consecutive, or same-side if they are on the same side of the transversal.
Angles that lie in the same direction from the crossing point (to the northeast, for example) are corresponding angles.
__
In your figure, we can identify the following pairs:
corresponding: (a, f), (b, g), (c, h), (e, i)alternate exterior: (a, i), (c, g)alternate interior: (b, h), (e, f)consecutive exterior: (a, g), (c, i)consecutive interior: (b, f), (e, h)vertical: (a, e), (b, c), (f, i), (g, h)linear pairs: (a, b), (a, c), (b, e), (c, e), (f, g), (f, h), (g, i), (h, i)The theorems referenced above will tell you if and only if the lines are parallel ...
corresponding, alternate interior, alternate exterior angles are congruentconsecutive interior, consecutive exterior angles are supplementary (total 180°)____
Using the above, we find the answers to your questions to be ...
1. (a, f) - corresponding angles (b)
2. (b, h) - alternate interior angles (a)
3. (h, g) - vertical angles (d)
4. (c, g) - alternate exterior angles (c)
5. (a, c) - supplementary angles (e)
6. (e, i) - corresponding angles (b)
_____
Additional comment
In the above, we put (parallel) in parentheses, because these same definitions apply where the crossed lines may not be parallel. The relevant angle relationships can be used to determine if the lines are parallel or not. For example, if "corresponding" angles are congruent, the lines will be parallel. If "consecutive interior" angles do not total 180°, the lines cannot be parallel.
These same relationships hold in geometric figures, such as rectangles, trapezoids, parallelograms. For example, each side of a parallelogram is a transversal crossing a pair of parallel lines (the adjacent sides). Sometimes, you're asked to prove particular angle relationships in these figures. You can often do so by making use of the angle theorems related to parallel lines.
Related Questions
plssssssssssssssssssssss helpppp
Answers
10×10^-11
[tex]10 \times 10 to \: the \: power \: of \: - 11[/tex]
10×10^-11
Answers
Answer:
[tex] {10}^{ - 10} [/tex]
Step-by-step explanation:
since the base is the same you have to add +1 to -11 which equals to -10
What is the answer to 11 > b + 4 > -6
Answers
[tex]11 > b+4 > -6\\11 - 4 > b > -6-4\\7 > b > -10[/tex]
Hope that helps!
A prism is dilated by a factor of 1. 5. How many times larger is the volume of the resulting prism than the volume of the original prism? Enter your answer as a decimal in the box.
Answers
The volume of the resulting prism is 3.375 times of original volume.
What is a dilation or scale factor?The factor by which the dimensions of an object are enlarged is called the scale factor.
Let us take the base area of Prizm = a²
Height of the prism = h
Enlarged area = (scale factor)² * previous area
Enlarged area = 1.5²*a² = 2.25a²
Enlarged height = 1.5h
So, enlarged volume = enlarged area* enlarged height
Enlarged volume= 2.25a²*1.5h = 3.375a²h
Enlarged area/previous area = 3.375a²/a² = 3.375
Therefore, the volume of the resulting prism is 3.375 times of original volume.
To get more about dilation visit to:
https://brainly.com/question/10253650
Solve for X (Trigonometry)
Answers
Answer:
7.0
Step-by-step explanation:
When doing trigonometry, remember SOH-CAH-TOA...
Sine : Opposite/Hypotenuse
Cosine : Adjacent/Hypotenuse
Tangent : Opposite/Adjacent
In this figure, we are given the measure of a 23° angle, and two sides that are opposite of the angle, and the hypotenuse.
This means we need to use sine:
[tex]sin(23)=\frac{x}{18}[/tex]
Multiply both sides by 18:
[tex]18sin(23)=x[/tex]
[tex]18(0.391)=x\\x=7.038\\x\approx7.0[/tex]
Fill in the blank so that the ordered pair is a solution of y=9x - 9.
( ), 63
Answers
Answer:
(8, 63)
Step-by-step explanation:
The ordered pair is a solution to the equation when substituting the values for x and y make the equation a true statement.
If we let x represent the first number of the ordered pair, it will be a solution when ...
63 = 9x -9
7 = x -1 . . . . . . . divide by 9
8 = x . . . . . . . add 1
The blank gets filled with 8, so the ordered pair is (8, 63).
help.
4x^7y^6 + 9x^3y x 2x^4y^5
Answers
Answer:
9x9y6+4x7y^6
Step-by-step explanation:
4x^7y^6+9x^3yx2x^4y^5
=4x^7y^6+9x^9y^6
=9x^9y^6+4x^7y^6
Answer:
4x^7y^6 + 18x^6y^6
Find the area of the composite figure below.
Answers
Answer:
15
Step-by-step explanation:
To find area, you must add.
The Coffey family went out to dinner. Their meal cost $75. They used a 20% off coupon. How much did their meal cost after using the coupon
Answers
the angles of a triangle are(x+10), (x+40) and (2x-30). Find the measure of all angles and name the type of triangle
Answers
Answer:
x=40
Step-by-step explanation:
(x+10)+(x+40)+(2x-30)=180
(x+x+2x)+(10+40-30)=180
4x+20=180 step 1: -20 on both sides
4x=160 step 2: /4 on both sides
x=40
Hey I could use some help with this asap. Thank you. Will be marked.
Answers
Answer:
top left
Step-by-step explanation:
2.5=2 1/2=5/2
2 over 5 up
top left
find the area 8ft. 7ft. 14ft. ( EXPLAIN)
Answers
Answer:
The area is 77 ft.
Step-by-step explanation:
The formula for area of a trapezoid is 1/2 (base1 + base2) x height.
So, 1/2 (14+8) x 7 = 77.
Answer:
77Ft
if we were to ignore the extra "space" or area, and just do the area of the square we would get 8x7, but you probably want to know how I figured the area of both triangles, well this is simple the triangle has a height of 7 while it has a base(bottom) of 3 since 14-8(top)=6 and there are two triangles and they are the same lenght, when there is a triangle we do the base x height then divide by 2 since it's half a square so we do in this situation 3x7=21 and since there is another triangle we do it one more 3x7=21 add them together 3x7x2=42 then divide this by 2 and we get 21, we then add this to 56 which is the area of the square and get our result 77ft
a
In a survey of 450 people, 74% admitted that
they hate brussels sprouts. How many people in
this survey hate this vegetable?
Answers
Answer:
333 people
Step-by-step explanation:
74% of 450 = 0.74
0.74 × 450 = 333
Have a great day! :D
There are 333 peoples in this survey hate this vegetable.
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
We have to given that;
In a survey of 450 people, 74% admitted that they hate brussels sprouts.
Hence, Number of peoples in this survey hate this vegetable is,
⇒ 74% of 450
⇒ 74/100 × 450
⇒ 333
Learn more about the percent visit:
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in an isosceles right triangle ABC, the right angle is at B, which is the hypotenuse?
A. AB
B. BC
C. AC
D. BA
Answers
Answer: c
AC is the hypotenuse
Select from the drop-down menu to correctly complete the statement.
The product of 5 and 7/8 is
Choose...
A. greater than 5
B. less than 5
C. equal to 5
because 7/8 is less than 1.
Answers
Answer:
c
Step-by-step explanation:
hope it helps u have a good day
Answer:
correct answer is A ..because it passed 5 and about to reach 6 ..only 1/8 left to be 6
A dozen cupcakes cost $36. What is the rate, and the unit rate?
Answers
Answer:
A unit rate has a denominator of 1 unit when the rate is written as a fraction. To write a rate as a unit rate: divide the numerator and the denominator of the rate by the denominator. Example #1: A rate compares two quantities of different units. Each part of the rate must be labeled!
Step-by-step explanation:
Sana maka tulong
Can I please help me with this math question
Answers
Answer:
y =
-4
-3
-2
-1
0
Can someone help with this challenging graph
Answers
Answer:
(a) (-∞, -8) (-6, -4) (-2, ∞)
(b) -6, -2
(c) negative
(d) 5
Step-by-step explanation:
(a) A function is "decreasing" when the y-value decreases as the x-value increases.
⇒ the function is decreasing over these intervals : (-∞, -8) (-6, -4) (-2, ∞)
(b) Local maxima are the points on the function where it reaches a maximum.
⇒ maxima at x = -6 and x = -2
(c) negative
(d) 5
m∠BAC=43 and BA=9 What is the length of arc BDC? Round to the nearest tenth.
Answers
Answer: 224.1
Step-by-step explanation:
By what percent will a fraction increase if its numerator is decreased by 30%
а
and its denominator is decreased by 50%?
Answers
Answer:
40%
Step-by-step explanation:
Let x = numerator
Let y = denominator
[tex]\implies \dfrac{x}{y}[/tex]
Decreased by 30% = 100% - 30% = 70% = 70/100 = 0.7
Decreased by 50% = 100% - 50% = 50% = 50/100 = 0.5
[tex]\implies \dfrac{0.7x}{0.5y}[/tex]
[tex]\implies \dfrac{0.7}{0.5}=1.4[/tex]
[tex]\implies 1.4 \ \dfrac{x}{y}[/tex]
1.4 as a percentage = 1.4 x 100 = 140%
Therefore, the percentage increase is 140 - 100 = 40%
1 over 11 time what equals 1
Answers
1/11 x 11 = 1
^^^ This is basically
1. 11. 11
— x — = — = 1
11. 1. 11
The 11 also crosses itself out because of cross multiplication so it could be 1/1
The “what” is 11
use the following function to find f(2) f(x) = 11x + 2
Answers
Answer:
123
Step-by-step explanation:
insert 2 everywhere you see an x
11^2 +2 = 121+2 = 123
HOPE THIS HELPS!!!
How much would $200 invested at 4% interested compounded monthly be worth after 8 years? Round your answer to the nearest cent. A(t)=P (1+r/n)^nt
Answers
Answer:
the answer for this question is (D).
Step-by-step explanation:
given
P=200
R=0.04
N=12 (12 months in 1 year)
t=8
A=275.279
round
275.28
(D) is the answer to your question
#ACE
#Quality answers
#brainliest
also i just learned this so i should be right
4 feet wide and 8 feet tall a manufactur wants to use a scale factor of 1.5 to englarge a window. what will the area of the window be after it is enlarged
Answers
Answer:
72 square feet
Step-by-step explanation:
[tex]4*1.5=6[/tex]
[tex]8*1.5=12[/tex]
[tex]6*12=72[/tex]
What is the value of n?
Answers
Answer:
4x6=3*n
Step-by-step explanation:
just got it off the web enjoy might not be right
Evaluate S5 for 600 300 150 … and select the correct answer below. 1,162. 5 581. 25 37. 5 18,0600.
Answers
Answer:
The answer is 1,162.5
The radius of a circle is 10 meters. What is the length of a 135° arc?
Answers
Answer:
Step-by-step explanation:
The total circumference of the circle is: C = 2*pi*radius = 2*(3.14159)*(6) = 37.7 m The total circle has 365o. Your arc has only 135o. Hence: 135o x------- = -------------365o 37.7 m where x is the length of the 135o arc. Solve for x.
Last week, Kip went to the fair. It costs $4.95 to enter the fair and $0.50 per ticket. In the equation below, x represents the number of tickets Kip bought, and y represents the total amount Kip spent.
y = $0.50x + $4.95
If Kip spent $12.45 at the fair, how many tickets did he buy?
Group of answer choices
8
15
25
35
Answers
Answer:
x = 15
Step-by-step explanation:
[tex]12.45=4.95+0.5\timesx[/tex]×x
Solve the equation
[tex]12.45=4.95+0.5x[/tex]
Rearrange variables to the left side of the equation
[tex]-0.5x=4.95-12.45[/tex]
Calculate the sum or difference
[tex]-0.5x=-7.5[/tex]
Divide both sides of the equation by the coefficient of variable
[tex]x=\frac{-7.5}{-0.5}[/tex]
Determine the sign for multiplication or division
[tex]x=\frac{7.5}{0.5}[/tex]
Multiply both the numerator and denominator with the same integer
[tex]x=\frac{75}{5}[/tex]
Cross out the common factor
[tex]x=15[/tex]
I hope this helps you
:)
Where in real-life will we come across something that is more than 100%, e. G. 135%? Give three examples
Answers
Real life situations can be represented using mathematical statements
Examples of real life situations of things more than 100% are:
Markup pricesEnlarging the area of a gardenIncrease in savingsHow to determine the real life scenariosWhen something is greater than 100%, then there is an increment in the thing.
Take for instance, a unit of apple that was sold at $4 is not $10.
The percentage change is 150%
Other possible scenarios are when the area of a garden is enlarged and when you increase your weekly savings by more than 100%
Read more about percentage change at:
https://brainly.com/question/11360390
If the exterior angle of a regular
polygon measures 12°, how
many sides does the polygon
have?
Answers
Work Shown:
E = exterior angle = 12 degrees
n = number of sides
n = 360/E
n = 360/12
n = 30
This regular polygon has 30 sides.
