Students in Mrs. Marquez's class are watching a film on the uses of geometry
In architecture. The film projector casts the image on a flat screen as shown in
the figure. The dotted line is the bisector of
each congruence theorem to prove that
need to know.
Answers
The given information on the diagram of the projector and the image can
be used to prove the congruency of the triangles.
∠ABD, ∠BDA, and side [tex]\overline {AD}[/tex] on ΔABD are congruent to ∠CBD, ∠BDC, and
segment [tex]\overline {CD}[/tex] on ΔCBD, therefore, ΔABD ≅ ΔCBD, by AAS Theorem
Reasons:
The figure of the projector that casts an image on the screen is attached.
The bisector of the line [tex]\overline {AC}[/tex] = [tex]\overline {BD}[/tex]
From the drawing, we have;
∠ABD ≅ ∠CBD by equal number arc mark.
The two column proof is therefore, presented as follows;
Statement [tex]{}[/tex] Reason
[tex]\overline {BD}[/tex] is perpendicular bisector of [tex]{}[/tex][tex]\overline {AC}[/tex] Given
[tex]\overline {AD}[/tex] = [tex]\overline {CD}[/tex] [tex]{}[/tex] Definition of bisected line [tex]\overline {AC}[/tex]
∠BDC = 90° [tex]{}[/tex] [tex]\overline {BD}[/tex] is perpendicular [tex]\overline {AC}[/tex]
∠BDA = 90° [tex]{}[/tex] [tex]\overline {BD}[/tex] is perpendicular [tex]\overline {AC}[/tex]
∠ABD ≅ ∠CBD [tex]{}[/tex] Given on the diagram
ΔABD ≅ ΔCBD [tex]{}[/tex] by Angle-Angle-Side AAS Congruency rule
The Angle-Angle-Side, AAS, Congruency postulate states that two
triangles are congruent where two adjacent angles and a non included side
on one triangle are congruent to the corresponding two adjacent angles
and a non included side on the other triangle.
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Related Questions
find the nth term of 1,6,11,16
Answers
Answer:
5n-4
Step-by-step explanation:
The rule of the sequence is 5n-4.
If n=1 then 5(1)-4=1 because 5x1=5 and 5-4=1
If n=2 then 5(2)-4=6 because 5x2=10 and 10-4=6
If n=2 then 5(3)-4=11 because 5x3=15 and 15-4=11
If n=2 then 5(4)-4=16 because 5x4=20 and 20-4=16
Find the vertex and the axis of symmetry.
Answers
Answer:for the vertex I believe it is y-9 and x-2 for axis of symmetry
Step-by-step explanation:
Answer:
a. Downwards
b1. x intercept = (-4,0) (8,0)
b2. Y intercept (0,8)
c. Vertex (2,9)
d. Axis of symmetry 2
Step-by-step explanation:
What is the 5th equivalent fraction to 1/12?
Answers
Answer:
Fractions equivalent to 1/2 are 2/4, 3/6, 4/8, 5/10, 6/12 ...
Step-by-step explanation:
Hope it helps
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST
Answers
Answer:
5
Step-by-step explanation:
move constant
x+7 ≥ 12
subtract
x≥ 12-7
solution
x ≥ 5
Hurry for Brainlist =Accurate Answer
Answers
Step-by-step explanation:
the second line has to be parallel (but not identical), so that the 2 lines do not cross each other, do not have any point in common.
that means it must have the same slope but a different y-intercept.
the line in the graph goes through the origin (0, 0), which makes the y-intercept = 0 (the y value when x = 0).
and we see that the points with integer coordinates seem to be e.g. (3, -2).
so, for the slope (y difference / x difference between 2 points) we use this point and the origin.
x changes by +3 (from 0 to 3).
y changes by -2 (from 0 to -2).
so, the slope is -2/3. and it is always the factor of x.
let's look at the answer options :
2x + 3y = 0
3y = -2x
y = (-2/3)x
this is the identical line, so it is wrong !
2x + 3y = 6
3y = -2x + 6
y = (-2/3)x + 2
the same slope and different y-intercept.
this is the correct solution !
2x - 3y = 9
-3y = -2x + 9
y = (2/3)x - 3
wrong slope. so it is wrong !
y = 3x + 2
wrong slope. so it is wrong !
The length of a rectangle is 3 in longer than its width.
If the perimeter of the rectangle is 70 in, find its length and width.
Answers
Answer:
A rectangle have 2 equal sides whilst the other 2 is also equal
So we can make length “l”
Whilst we can make width “w”
So the formula for a perimter is
2l+2w=p
In this case it’s 70
Now the length is 3 in longer then the width.
So l= 3+w
We can subsitute that in so we can solve the equation now
2(3+w) + 2w = 70
4w+6=70
Now solve
4w+6=70
4w= 64
w= 16
So width is 16
Lenght is 3 more then with so 16+3=19
Width is 16
Length is 19
What is domain and range
Answers
Answer: domain and range is the set of values that we are allowed to plug into our function.
Step-by-step explanation:
Use the table to calculate the slope and y-intercept, then write the equation in slope intercept form.
Answers
Answer: y = (28/4)x + 4
Step-by-step explanation:
We'll be using 20, 144 (1) and 24, 172 (2) for this
slope = y2 - y1 / x2 - x1
slope = 172 - 144 / 24 - 20
slope = 28/4
y = mx + b
y = (28/4)x + b
We can then reduce 20, 144 by 4, 28
20, 144
16, 116
12, 88
8, 60
4, 32
0, 4
The y-intercept is when x = 0, so its 4.
Plug that into y = mx + b
y = (28/4)x + 4
how fast is a skater traveling in meters per second if they are moving at a rate of 5.6 mile per hour
2.51m/s
0.25 m/s
14.24 m/s
25.09 m/s
Answers
Answer:
2.51
step by step explanation:2.51 meters per second is the speed of skater traveling if they are moving at a rate of 5.6 mile per hour.
To convert from miles per hour (mph) to meters per second (m/s), we will need to use the following conversion factors:
1 mile = 1609.34 meters
1 hour = 60 × 60 = 3600 seconds
Given the skater's rate of 5.6 mph:
Speed in m/s
= (5.6 mph) × (1609.34 m/mile) / (3600 s/hour)
≈ 2.51 m/s
So, the skater is traveling at a rate of approximately 2.51 meters per second.
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Solve the system of equations by elimination:
3x+y=5
2x-2y=-2
NO LINKS PLEASE
Answers
2(1)-2y=-2
2-2y=-2
-2y=-4
y=2
So x = 1 and y = 2! :) hope this helps
Answer: (1, 2)
x = 1 and y = 2
Step-by-step explanation:
3x + y = 5 Multiply this equation by 2 => 6x + 2y = 10
2x -2y = -2 => + 2x - 2y = -2
8x = 8
**divide both sides by 8 => x = 1
*** substitute 1 for x in either equation to get y
3(1) + y = 5
-3 -3
y = 2
Write the word sentence as an equation. A number divided by -8 is -13
Answers
Answer:
104
Step-by-step explanation:
-8 * -13 = 104
104/-8=-13
the length of 2/3 a rope is (4u-5) inches Express the total length of the rope in terms of u
Answers
Answer:
6u - 15/2 inches
Step-by-step explanation:
(2/3)rope = 4u - 5
multiply both sides by 3/2
rope = 6u - 15/2
What’s the answer, pls help me
Answers
Answer:
lower left
Step-by-step explanation:
v+3<=6.5
v<=3.5
-18 is less than 3.5
Step-by-step explanation:
It can't be the first one because [tex]v=-18[/tex] and were saying [tex]-v[/tex] and to negatives make a positive so our equation is
[tex]18+3[/tex] ≤[tex]-6.5[/tex] which is incorrect
The one below the first one is incorrect
It's correct since our equation is
[tex]-18+3\leq 6.5[/tex] which is correct
The top right one is correct because our equation is
[tex]18+3\leq 6.5[/tex] which is incorrect
The one below that is correct because our equation is
[tex]-18+3\geq 6.5[/tex] which is incorrect
Is this answer right?
Answers
Answer:
that is the correct answer.
Step-by-step explanation:
what is the current produced by a 9-v battery flowing through a resistance of 150 ω
Answers
Answer:
Step-by-step explanation:
A standard 9V battery has about 400-600 mAh capacity. In the most basic terms, these batteries can supply about 500 milliamps for one hour before being "dead".
A fourth of the product of 13 and a number M
Answers
Answer:
[tex]\frac{13m}{4}[/tex]
Step-by-step explanation:
"the product of 13 and a number M" should be written as 13m.
To get a fourth of the produce we would need to divide it by four.
A fourth of the product of 13 and a number M should be [tex]\frac{13m}{4}[/tex] .
Hope this helps.
The scale of a map is 1 cm : 17 km. Find the actual distance corresponding to the map distance.
1:
The distance on the map is 2.5 cm.
The actual distance is «m.
Answers
Answer:
I believe its 42.5 or 42500
Step-by-step explanation:
if its not right im so so so so sorry
Question
1. Put the following equation in Standard Form:
y=-1/3x + 4
Answers
y = -1/3x + 4
Start by getting rid of fraction
Multiply all by 3
3y = -1x + 12
Add x to both side
x + 3y = 12
Solution: x + 3y = 12
A cafeteria sells 6 times as many bottles of juice. if the cafeteria sells 750 bottles of water. how many bottles of juice did the cafeteria sell? ANSWER
Answers
Answer:
4,500 bottles of juice.Step-by-step explanation:
Clue word: Times means multiplyIf you multiply 750 x 6 you will get 4,500.3(x+2)=5x-7
Work out value of x
Answers
Answer:
first distribute:
3x+6=5x-7
then combine the x's:
-2x+6=-7
get rid of the 6:
-2x=-13
divide the 2:
6.5
Step-by-step explanation:
Answer:
x = 13/2
Step-by-step explanation:
3(x+2) = 5x-7 3x+6 = 5x-73x-5x = -7-6-2x = -13x = -13/-2x = 13/2What is the slope if the line is differeniable.
Answers
Step-by-step explanation:
you mean "differentiable" ?
well, remember, a line equation is
y = ax + b
a is the slope
it is always, ALWAYS the factor of x.
now we differentiate the line equation per dx/dy
y' = a
and that is that.
the first derivative of an equation of first degree (that means the highest exponent of the variable is 1), which is a line equation, is a constant : the factor of x.
and since the factor of x is the slope, that means that the constant result of the first derivative of the line equation is the slope.
100 POINTS IF U GET THIS RIGHT!
Answers
[tex]y = \dfrac 32 x - \dfrac 38\\\\\\\text{The above equation is in a form of y =mx +b, where m is the slope.}\\\\\\\text{Hence the slope is}~ \dfrac32[/tex]
Answer:
Slope: 3/2
Step-by-step explanation:
Our equation: y = mx + b
Given equation: y = -3x/2 - 3/8
=> Now, let's compare:
=> y = mx + b = y = -3x/2 - 3/8
We can tell that slope = m, which is 3/2.
Hoped this helped.
The picture shows $40.50 that two friends earned mowing a lawn.
They want to share the money equally.
Drag the money below to show how much each friend will get.
Answers
Answer:
Each friend gets $20.25
So $20.25 each
X2-7x-34=10 solve please
Answers
Answer:
x = 11
x = -4
Step-by-step explanation:
Solve the equation
n/10+6=13
Answers
Answer:
n = 70
Step-by-step explanation:
n/10 + 6 = 13
n/10 = 7
n = 70
CHECK:
70/10 + 6 = 13
Here we go another question i'm asking you guys to help me with because i don't understand this!
Answers
Answer:
1. Less Than
2. Greater Than
Step-by-step explanation:
You know that 1/2 is equal to 4.5/9
So, 2/9 would be less than 1/2.
You know that 1/2 is equal to 5/10
So, 9/10 is greater than 1/2.
Compare each fraction by setting each fraction to the same denominator.
Can someone plz help me with this. 100 points and brainliest to the correct answer.
I will be so gratefulll!!
Answers
Answer: 11.46
Step-by-step explanation:
In a class of 36 students, 29 do mathematics and 20 do chemistry. If 5 students do neither, how many students do chemistry but not mathematics?
Answers
Answer:
20 by 36
divide and you get answer.
Answer:
1 r8
Step-by-step explanation:
20 ÷ 36 and then u get up answer
PLEASE HELP ME, THIS IS THE LAST QUESTION AND IM DONE
Answers
Answer:
B) x=square root of 32
Step-by-step explanation:
Work out m and c for the line: ? y = x + 6
Answers
y = mx + c
To find the gradient (M) plot two points on the line.
Then label each co ordinate X1 and X2 and then Y1 and Y2
Then subtract your y1 from y2 and then x1 from x2.
For example :if your coordinates were (1,2) (3,4) you would do
4-2 and 3-1
These answers become your “changes” now do change in y / change in x
In terms of the Example you would do 2/2 which would be 1 and the M value would be 1
Hope that isn’t too confusing