Answers:
d) verticalc) alternate interiorf) supplementarye) alternate exteriorg) correspondinge) alternate exteriorf) supplementaryc) alternate interiore) alternate exteriorLetters 'a', b, and h are never used.
Letters c and f show up twice each; e shows up 3 times.
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Explanations:
Angles 1 and 2 are vertical angles because they are opposite one another in this X configuration. Vertical angles are always congruent.These angles are alternate interior angles because they are inside the parallel lines (hence the "interior") and they are on alternating sides of the transversal cut.The two angles shown here form a straight line, so that's what makes them supplementary. Supplementary angles add to 180 degrees.Angle 4 and angle 5 are on alternating sides of the transversal, but this time they are outside the parallel lines. So that's why we go for alternate exterior this time. Angles 5 and 6 are in the same southwest corner of each four-corner configuration, which makes them corresponding angles.It's the same idea as problem 4Same idea as problem 3.Same idea as problem 2.Same idea as problems 4 and 6.---------------
None of the angle pairs mentioned are consecutive interior angles. These types of angles are on the same side of the transversal, and inside the parallel lines. So we never use option 'a'. We cross off option h as well for pretty much identical reasoning. Options 'a' and h are the same thing, just slightly different wording.
We cross off option b as well because none of the angles add up to 90 degrees.
Line l has a slope of the line through which of the following pair of points is perpendicular to l?
A. (21,-4), (-5,7)
B.(-7, -5),(4,7)
c. (7-7), (-5,4)
D.(-2,-5), (4,7)
how to Find the area of the following parallelograms?
Answer:
A=LxW
Step-by-step explanation:
It is same as the area of rectangles
A=LxW
Answer:
To find first Base and height of parallelogram then
Area= b×h
what is the missing reason in the proof?
Answer:
i cant view the picture
Step-by-step explanation:
What is the equation of the parabola with focus (1/3, 2/3) and directrix y = 1/2pls help ill give points
Answer:
D. y = 3·x² - 2·x + 11/12
Step-by-step explanation:
The coordinates of the focus of the parabola, f = (1/3, 2/3)
The directrix of the parabola, y = 1/2
The standard form of the equation of a parabola is (x - h)² = 4·p·(y - k)
The coordinates focus = (h, k + p)
The y-coordinates of the directrix, y = k - p
By comparison, we have;
h = 1/3...(1)
k + p = 2/3...(2)
k - p = 1/2...(3)
Adding equation (3) to equation (2) gives;
k + p + (k - p) = k + k + p - p = 2·k = 2/3 + 1/2 = 7/6
k = (7/6)/2 = 7/12
k = 7/12
From equation (2), we get;
p = 2/3 - k
∴ p = 2/3 - 7/12 = 1/12
p = 1/12
The equation of the parabola is therefore;
(x - 1/3)² = 4·(1/12)·(y - 7/12) = y/3 - 7/36
y = 3 × ((x - 1/3)² + 7/36) = 3 × ((x² - 2·x/3 + 1/9) + 7/36) = 3·x² - 2·x + 11/12
y = 3·x² - 2·x + 11/12.
you & three friends go to the twin carnival. you have a coupon for $20 off that will save your group money! if the total bill to get into the carnival was 100$ how much does one regular price ticket cost?
Answer:
$30
Step-by-step explanation:
100+ the twenty you got off is 120 and dvide 120/4=30 I am either making this way to easy or just dont understand lol
Which value of x satisfy the following equation 24x - 18 - 18x - 30 = 96
Answer:
(24x-18x)( -18-30)
6x-48
what is the scale factor from figure a to figure b
Answer:
times 2 ( x 2 )
Step-by-step explanation:
These two quadrilaterals are similar because figure A's sides are 20 times less than figure B's sides. Figure A's top base is 22 while figure B's top base is 44. To find the value of figure B's side, we multiply by 2. All the sides of figure A will be similar to the figure B if multiplied by 2.
Therefore, scale factor of figure A to figure B is multiply by 2.
hope this helps...
Answer:
Scale factor is 1 to 2
or given the actual question that you asked (a-b vs b-a)
2 to 1
Step-by-step explanation:
help with this please?....:)
Answer:
200. 96 cm^2
Step-by-step explanation:
If the area of a circle is [tex]\pi[/tex][tex]r^{2}[/tex]
[tex]\pi[/tex] = 3.14,
radius = 8 cm (r = diameter/2 ----> r = 16/2)
= [tex]\pi[/tex][tex]r^{2}[/tex]
[tex]= 3.14 (8^{2})\\= 200. 96 cm^{2}[/tex]
Find the area of the triangle. Round your answer to the nearest tenth.
B
25 cm
320
c
A
25 cm
d. 195.3 cm
c. 165.6 cm2
b. 312.5 cm?
a. 331.2 cm2
Answer:
c. 165.6 cm²
Step-by-step explanation:
We are given two sides of a triangle and an included angle. To find the area, we would apply the following formula:
Area = ½*b*c*Sin(A)
b = 25 cm
c = 25 cm
A = 32°
Area = ½*25*25*Sin(32)
Area = 165.59977
Area ≈ 165.6 cm² (nearest tenth)
if f(x)= 10 – 2x and g(x) = 6x - 5, then (f+g)(x) =
Answer:
4x +5
Step-by-step explanation:
f(x)= 10 – 2x
g(x) = 6x - 5
(f+g)(x) =10 – 2x + 6x - 5
Combine like terms
= 4x +5
Answer:
( f + g )( x ) = 4 x + 5
Step-by-step explanation:
f ( x ) = 10 - 2 x
g ( x ) = 6 x - 5
( f + g )( x) = ( (10 - 2 x ) + (6 x -5) )
= 10 - 2x + 6 x - 5
combine like terms
= 2 x + 6 x + 10 - 5
= 4 x + 5
Pls can anyone give me tips for studying when I'm high-school
Answer:
take a break from social media , find a peaceful spot to study ,be engaged , take notes and listen during discussion make use of ur extra time wisely
hope it's helpful
- 2.7f+0.3f-12- 5 =
Plss help i need the answer right now plss.
Answer:
2.4f-17
Add similar elemets : 2.7f + 0.3f =2.4f
Subtract the numbers:-12 - 5= -17
Answer:
- 2.4f - 17
Step-by-step explanation:
Given
- 2.7f + 0.3f - 12 - 5 ← collect like terms
= - 2.4f - 17
Name the property shown by the statement. (5 + m) + n = 5+ (m + n)
Answer:
Associative property of addition
What are the measure of ∠1 and ∠ 2 ? Show your work or explain
Answer:
I need the picture.
[tex]5x2 + 2x - 3=0[/tex]
Find the length of the third side. If necessary, round to the nearest tenth.
2
3
Answer:
The third side is 3.6
Step-by-step explanation:
Incomplete question;
The parameter from the complete question can be summarized as follows:
[tex]Side\ 1 =2[/tex]
[tex]Side\ 2 =3[/tex]
Required
Determine the third side (hypotenuse)
Let the third side be x;
So:
[tex]x^2 = Side\ 1^2 + Side\ 2^2[/tex]
[tex]x^2 = 2^2 + 3^2[/tex]
[tex]x^2 = 4 + 9[/tex]
[tex]x^2 = 13[/tex]
Take square roots of both sides
[tex]x = 3.6[/tex]
Solve
7x - 3x - 8 = 24
Answer:
x = 8
Step-by-step explanation:
Factor:
7x - 3x = 4x
24 + 8 = 32
32 ÷ 4 = 8
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Double check:
56 - 24 - 8 = 24
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Have a great summer :)
Answer:
x = 33 / 4
Given :-
7x - 3x -9 = 24
We have to find
The value of x .
Step-by-step explanation:
Let's begin:-
7x - 3x -9 = 24
Step 1 :- Combine like terms.
4x - 9 = 24.
Step 2 :- Move constant to the right-hand and change their sign.
4x = 24 + 9.
Step 3 :- Add 24 and 9.
4x = 33
Step 4 :- Divide both side by 4.
4x / 4 = 33 / 4
Hence, x = 33 / 4
Put these numbers in order from least to greatest.
9.9, 9.5, and 9 4/5
Translate this phrase into an algebraic expression.
Three more than the product of 10 and a number
Use the variable n to represent the unknown number.
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⊹˚ʚ ❑Answer︰3+(10n)
✎Daily reminder: make sure to eat food and stay hydrated, have a good day :D
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Need Help ASAP! Timed Assignment!
Mike and his friends bought cheese wafers for $2 per packet and chocolate wafers for $1 per packet at a carnival. They spent a total of $25 to buy a total of 20 packets of wafers of the two varieties.
Part A: Write a system of equations that can be solved to find the number of packets of cheese wafers and the number of packets of chocolate wafers that Mike and his friends bought at the carnival. Define the variables used in the equations. (5 points)
Part B: How many packets of chocolate wafers and cheese wafers did they buy? Explain how you got the answer and why you selected a particular method to get the answer. (5 points)
Answer:
Part A)
Our system of equation is:
[tex]\displaystyle \begin{aligned} 2x+y&=25\\x+y&=20\end{aligned}[/tex]
Where x represent the amount of cheese wafers bought and y represent the amount of chocolate wafers bought.
Part B)
Mike and his friends bought five cheese wafers and 15 chocolate wafers.
Step-by-step explanation:
Let cheese wafers be represented by x and let chocolate wafers be represented by y.
Part A)
They spent a total of $25. Since each cheese wafer cost $2 and each chocolate wafer cost $1, we can write that:
[tex]2x+1y=25[/tex]
Or, simply:
[tex]2x+y=25[/tex]
They also purchased a total of 20 packets of wafers. Hence:
[tex]x+y=20[/tex]
Our system of equation is:
[tex]\displaystyle \begin{aligned} 2x+y&=25\\x+y&=20\end{aligned}[/tex]
Where x represent the amount of cheese wafers bought and y represent the amount of chocolate wafers bought.
Part B)
Since both equations have the same coefficient for y, we can use elimination. First, multiply the second equation by negative one:
[tex]-x-y=-20[/tex]
Add it to the first equation:
[tex](2x+y)+(-x-y)=(25)+(-20)[/tex]
Simplify:
[tex]x=5[/tex]
So, five cheese wafers were bought.
Using the second equation again, we can see that:
[tex](5)+y=20\Rightarrow y=15[/tex]
So, 15 chocolate wafers were bought.
Notes:
If we wanted to solve this using substitution, we can subtract x (or y, doesn't really matter) from both sides from either equation. Using the second equation, this yields:
[tex]y=20-x[/tex]
Substitute this into the first:
[tex]2x+(20-x)=25[/tex]
Simplify:
[tex]x=5[/tex]
And we will acquire the same answer:
[tex]y=20-(5)=15[/tex]
Which of the following determines a plane?
Answer:
Answer B
3 non collinear point
Help plz
Character limit = EEEEEEEEEEEEEEEEE
Answer:
160 [tex]cm^{3}[/tex]
Step-by-step explanation:
We know it is square based, so we know that the sides are the same.
Therefore the length is also 4.
4 * 4 * 10
=160
what is the formula of cost
Step-by-step explanation:
I don't know the answer try again later
What is the scale factor from triangle ABC to triangle DEF? SHOW YOUR WORK
B
47°
F
G
A
C
20
J
H Н
Answer:
FGAC 20 JH Н
Step-by-step explanation:
FGAC 20 JH Н
Will
Give
Brainlist
Write the sentence as an equation
The quotient of -112 and 8 amounts to -14
Answer: -112/8=-14
Step-by-step explanation: Quotient means to divide.
one number from 10 to 20 is written on each card select one card randomly what are the probability
Answer:
1
Step-by-step explanation:
S = {,10,11,12,13,14,15,16,17,18,19,}
n(s) = 10
P(a) = n(a) / n(s)
= 10 / 10
= 1 / 1
= 1
hope this helps.....
What is the equation of the line graphed below? Y +1= -3(x-1)
Answer:
y=-3x+2
Step-by-step explanation:
distribute and simplify
Hihi , please help if able.
Answer:
9(9m + 3t) = 81m + 27t
Step-by-step explanation:
With brackets with more than one term inside multiplied by a number;
The rule of thumb to know is that with brackets, everything inside must be multiplied by everything outside;
So, in this case, the number 9 must be multiplied by each term inside the brackets:
9 × 9m = 81m
9 × 3t = 27t
So to expand, opening the brackets, you get:
81m + 27t
PLEASE HELP !! two angles in a triangle have measurements of 20 degrees and 50 degrees. what is the measure of the third angle? the options are 70 degrees, 30 degrees, 110 degrees, and 120 degrees
Answer:
the answer is 110 degrees because 50 plus 20 is 70 and a triangle is 180 degrees so you do 180 minus 70 which gives you 110 :)
Step-by-step explanation: