Move words to the blanks and equations to the boxes to prove that vertical angles 21 and 23 are congruent.
Because linear pairs of angles are
and
Because angles that are
to the same angle are
it can be concluded that 21 23.
congruent
m21 +m22 = 180°
supplementary
m22 + m23 = 180°
m2l + m23 = 180°
Answers
Answer:
Because linear pairs of angles are supplementary. m∠1 + m∠2 = 180° and m∠2 + m∠3 = 180°.
Because angles that are supplementary to the same angle are congruent. It can be concluded that ∠1 ≅ ∠3.
Step-by-step explanation:
The correct question is attached.
Linear pairs angles are angles which are formed from the intersection of two lines and they are adjacent to each other. Linear pair angles are supplementary.
If angles are supplementary to the same angle, then they are congruent.
∠1 and ∠3 are vertical angles
∠1 and ∠2 form linear pairs while ∠2 and ∠3 form linear pairs. Therefore:
m∠1 + m∠2 = 180° (linear pair angles are supplementary)
m∠2 + m∠3 = 180° (linear pair angles are supplementary)
Hence using transitive property of equality:
m∠1 + m∠2 = m∠2 + m∠3
Using subtraction property of equality by subtracting m∠2 from both sides gives:
m∠1 = m∠3
∠1 ≅ ∠3 (vertical angles are congruent)
Because linear pairs of angles are supplementary. m∠1 + m∠2 = 180° and m∠2 + m∠3 = 180°.
Because angles that are supplementary to the same angle are congruent. It can be concluded that ∠1 ≅ ∠3.
Related Questions
Work out
m
and
c
for the line:
y
=
9
x
Answers
Answer:2
Step-by-step explanation:
2
For line y = 9x, m = 9 and c = 0
What is the slope-intercept form of the line?"y = mx + c, where m is the slope of the line and c is the y-intercept of the line."
What is slope of the line?"It is the change in y coordinate with respect to the change in x coordinate."
What is y-intercept?"It is a point at which a line intersects the Y-axis."
For given question,
We have been given an equation of line y = 9x
By comparing above equation of line with the slope-intercept form of line,
m = 9 and c = 0
This means the slope of the line y = 9x is 9 and the y-intercept is 0
Therefore, for line y = 9x, m = 9 and c = 0
Learn more about the slope and y-intercept of the line here:
https://brainly.com/question/19824331
#SPJ2
What is the standard form equation for a 1/2 line that passes though (-3,-3) and (4,2)
Answers
Answer:
y= 5/7x -2.7
Step-by-step explanation:
Y= mx + c (-3,-3) (4,2)
x1 , y1 x2, y2
to find m (gradient)
y^2 - y^1 / x^2 - x^1
2-(-3) / 4 - (-3)
5/7 m = 5/7
take (4,2) and gradient and substitute
2=5/7(4) + c
2=4.7+ c
2-4.7 = c
-2.7 = c
now we have c and m so just put it in the equation
y= 5/7x -2.7
please help me ASAP!
Answers
In the diagram, which pair of angles are alternate interior angles?
O <2 and <5
O <1 and <7
O <5 and <3
O <7 and <4
Answers
The alternate interior angles shown are <3 and <5, as well as <2 and <8.
I hope this helped!
Answer:
ur answer would be
<2 and <5
step-by-step explanation:
hope this helps
Determine the equation of the tangent to x− 3x +1 at the point (3,1)
Answers
9514 1404 393
Answer:
y = 3x -8
Step-by-step explanation:
We assume you want the tangent to the parabola y = x² -3x +1 at the given point. The slope is found using the derivative of the function at that point.
y' = 2x -3
At x=3, the slope is ...
y' = 2(3) -3 = 3
The equation of the line through point (3, 1) with a slope of 3 is ...
y -1 = 3(x -3) . . . . use the point-slope form of the equation for a line
y = 3x -9 +1 . . . . . eliminate parentheses, add 1
y = 3x -8
Whatis the answer to the problem
Answers
Answer:
slope = [tex]-\frac{1}{8}[/tex]
Step-by-step explanation:
Use the slope formula given in the question to solve for the slope. The [tex]m[/tex] is the variable representing the slope. The [tex]x_1[/tex] and [tex]y_1[/tex] values are x and y values of one point. The [tex]x_2[/tex] and [tex]y_2[/tex] are x and y values of another point.
So, use the x and y values of the points given and substitute them in the correct order into the formula:
[tex]m = \frac{(7)-(9)}{(10)-(-6)}\\m = \frac{7-9}{10+6} \\m = \frac{-2}{16} \\m = -\frac{1}{8}[/tex]
Thus, the slope is [tex]-\frac{1}{8}[/tex].
Researchers study the population of bass in a lake. The researchers catch, tag, and release 50 bass into the lake. During a fishing tournament the following week, competitors catch and release 525 bass, 15 of which had been previously tagged by the researchers.
What is the best estimate for the number of bass in the lake?
Answers
Answer: B.
Step-by-step explanation: 550 bass
HELP (ENGLISH)
Amira is preheating her oven before using it to bake. The initial temperature of the oven is 75° and the temperature will increase at a rate of 20° per minute after being turned on. What is the temperature of the oven 9 minutes after being turned on? What is the temperature of the oven tt minutes after being turned on?
Answers
What is the line of reflection?
Answers
Answer:
Y Axis
Step-by-step explanation:
The y axis is the best so it reflects off of both sides of the best axis in the world.
I need help with this
Answers
BRAINLIEST ....................................
Answers
9514 1404 393
Answer:
(b) 7720 mm² of paper
Step-by-step explanation:
The central horizontal rectangle of the net is 80 mm high and ...
40 + 5.5 + 40 + 5.5 = 91
mm long. Its area 9 is ...
(80 mm)(91 mm) = 7280 mm²
__
The two pieces of the net not accounted for above are the "flaps" above and below the central rectangle. Each of those two has an area of 40 mm by 5.5 mm, so their total area is ...
2(40 mm)(5.5 mm) = 440 mm²
Then the area of paper needed for the wrapper is ...
total area = 7280 mm² + 440 mm²
total area = 7720 mm²
Beth went on vacation for 4 1/2 days in June and 8 1/2 days in July. How many days was Beth on vacation altogether?
Answers
Hi there,
Answer is: 4 months, because 4 plus 4 is 8.
Explanation: 4/1/2 ; 8/1/2
How to get 4/1/2 ; 8/1/2
So you add 4 to get 8 and 4 plus 4 is 8.
3x=6y-3 (table of values)
Answers
Answer:
The image I put is the answer.
Step-by-step explanation:
7. Write an expression that is equivalent to
5({r - 8). State the property that justifies
your answer.
Answers
Answer:
5r - 40
Step-by-step explanation:
If you simplify 5(r - 8), you will get 5r - 40. This is called distributed property.
Hope this helps, thank you !!
10 is 60% of what number please help
Answers
Answer:
600
Step-by-step explanation:
set x as the number
x0.10 = 60
x = 60/0.10
x = 600
Answer:
For me i think its 16.67 well im not fully sure
Step-by-step explanation:
SO we have to figure out what gives us 10 and that will be represented as "x"
[tex]\frac{60}{100}[/tex] × x = 10
Multiplying both sides by 100 and dividing both sides by 60,
we have x = 10 × [tex]\frac{100}{60}[/tex] so, x = 16.67
(that's what i believe but i don't know)
Another submarine's descent can be represented as `y=-240x`, where u is the elevation and x is time in hours. How long will it take this submarine to make the descent (2,100 feet below the surface)?
Answers
Answer:
The time it will take is 8hours 45mins.
Step-by-step explanation:
Since y = –240x represents a submarine descent. We are looking for how long, that is the time, it will take for the submarine to make a descent of 2100. We know that y is the elevation, if it is descending it will be in the negative direction, making it -ve.
A descent of 2100 means y = –2100. Hence,
–2100 = –240x
x = –2100/–240 = 8.75hours = 8hours 45minutes. (0.75hours = 3/4hours = 3/4 x 60mins = 45mins).
In a bag there are blue sweets, red sweets and yellow sweets. The number of blue sweets is four times the number of yellow sweets. The number of red sweets is half the number of yellow sweets. Find the percentage of sweets in the bag that are yellow.
Answers
Answer:
18.18%
Step-by-step explanation:
The percentage of sweets in the bag that are yellow is as follows:
Let us assume the number of yellow sweets be x
So for number of blue sweets be 4x
And, the number of red sweets be 0.5x
So it could be written as
Blue Red Yellow
4 0.5 1
8 1 2
So for yellow, the percentage is
= 2 ÷ (8 + 1 + 2)
= 2 ÷ 11
= 18.18%
6x + 9 = 27
what is x?
Answers
So we're working on ratios and proportions in my math class. I feel attacked because my teacher specifically called me out and said- "Nya, you can do this, a little math won't hurt." So now I need help. :')
6) A pizza cost 12.00. If the sales tax is 7%, what is the final price of the pizza?
A. 12.07
B. 12.70
C. 12.84
D. 19.00
Answers
A pizza cost 12.00. If the sales tax is 7%, what is the final price of the pizza?
$12.84 or C
Have a great day! :)
PLS HELP The width of Ben's rectangular family
room is 3 feet less than the length.
The perimeter is 70 feet. What is the
length of the family room?
Answers
Answer:
19 feet
Step-by-step explanation:
The perimeter is calculated by multiplying the sum of length and width by 2
width is 3 less than length so if we call the width x the length would be x + 3
2×(x + x + 3) = 4x + 6 and
4x + 6 = 70 subtract 6 from both sides
4x = 64 divide both sides by 4
x = 16
The length is x + 3 so the answer is 19 feet
why am I obsessed with lemons but I can't eat them cause I eat to much an my dentist said your teeth can melt cause of the acid and I will be teeth less I CANT STOP THINKING ABOUT THE SOURNES!!!!! i hate sugar by the way only sour
Answers
Answer:
Quantum mechanics is a fundamental theory in physics that provides a description of the physical properties of nature at the scale of atoms and subatomic particles.[2]:1.1 It is the foundation of all quantum physics including quantum chemistry, quantum field theory, quantum technology, and quantum information science.
Answer:
I am somewhat the same way I only like sour
Step-by-step explanation:
Pls help for my math class!
Answers
Answer:
i think it is b but i am not 100%
sorry if i am wrong
Step-by-step explanation:
This box is 3/4 inch long 1/2 inch wide and 1/4 inch deep what is the volume of the box ?
Answers
Answer:
v = l * w * h
v = 3/4 * 1/2 * 1/4 = 3/32 or 0.09375
Expand and simplify 7a + 4(a-2b)
Help please :)
Answers
Answer:
11a - 8b.
Step-by-step explanation:
7a + 4(a-2b)
= 7a + 4a - 8b
= 11a - 8b.
8x^3 – 144x^2y + _____xy^2 − _____ y^3. how to solve this problem , i need a help assap . Plz explanation
Answers
I suppose your teacher want you to make a (a-b)^3 formula
Answer:
8 x^3 - 144 x^2 y + 864 x y^2 - 1728 y
Step-by-step explanation:
rhoda pays for internet access each month The graph shows the relaionship
Answers
Answer:
more info??
Step By Step:
I could use a little help on this question take your time and please give the right answer if you dont give the right answer its fine
(reward for best answer):D
Answers
Answer:
3/5 or three fifths
Answer:
62 cookies
Step-by-step explanation:
If we take 40 and divide by 24 we get 1.6 that means for every normal cookie there is 1.6 chocolate cookies. With that we can simply just divide 100 by 1.6 to get 62.5 I chose to round down.
Which expression is equivalent to i 2337
O 1
O -1
O i
O -i
Answers
Suppose one batch of cookies requires ⅔ cup of flour. How many batches can be made with 4 cups of flour?
Answers
Answer:
6 batches
Step-by-step explanation:
Answer:
the answer is 8/3 u have to mutplay
Step-by-step explanation:
please answer I have a freaking e in my math class
Answers
Answer: I would answer but the image is blocked for me- can you type the problem by any chance?
Step-by-step explanation:
Answer:
3 feet
Step-by-step explanation:
Initial value usually means the y value when x=0