GEOMETRY HELP PLEASEEEEEEEEEE
Lesson 5-1 Exploring What Makes Triangles Congruent Practice and Problem Solving: A/B
Answers
2.YZ~PQ
3.P~Y
4.X~N
5.NQ~XZ
6.PN~YX
Similar triangles may or may not be congruent.
The corresponding parts of XYZ and NPQ are: [tex]\mathbf{Z \cong Q}[/tex] , [tex]\mathbf{YZ \cong PQ}[/tex] , [tex]\mathbf{X \cong N}[/tex] , [tex]\mathbf{NQ \cong XQ}[/tex] , [tex]\mathbf{PN \cong YX}[/tex].The unknown values are: [tex]\mathbf{y = 18}[/tex] , [tex]\mathbf{z = 12}[/tex] , [tex]\mathbf{L = 60}[/tex] , [tex]\mathbf{C = 60}[/tex], [tex]\mathbf{AC = 24}[/tex].The congruent parts are: KL and RQ, KJ and RS, QS and LJQuestion 1 to 6:
Triangles XYZ and NPQ are similar triangles.
This means that:
Angles Z and Q, lines YZ and PQ, angles P and Y, angles X and N, lines NQ and XZ, lines PN and YX are corresponding sides and angles
Question 7 to 12:
Triangles LMN and CBA are similar triangles.
This means that:
[tex]\mathbf{7z+6 = 5y}[/tex]
[tex]\mathbf{2y-12 = z + 12}[/tex]
Collect like terms
[tex]\mathbf{2y= z + 12+12}[/tex]
[tex]\mathbf{2y= z + 24}[/tex]
Make z the subject
[tex]\mathbf{z = 2y -24}[/tex]
Substitute [tex]\mathbf{z = 2y -24}[/tex] in [tex]\mathbf{7z+6 = 5y}[/tex]
[tex]\mathbf{7(2y -24) + 6 = 5y}[/tex]
[tex]\mathbf{14y -168 + 6 = 5y}[/tex]
[tex]\mathbf{14y -162 = 5y}[/tex]
Collect like terms
[tex]\mathbf{14y -5y = 162}[/tex]
[tex]\mathbf{9y = 162}[/tex]
Divide both sides by 9
[tex]\mathbf{y = 18}[/tex]
Recall that: [tex]\mathbf{z = 2y -24}[/tex]
[tex]\mathbf{z = 2 \times 18 - 24}[/tex]
[tex]\mathbf{z = 12}[/tex]
[tex]\mathbf{L = 60}[/tex]
[tex]\mathbf{LN = 2y - 12}[/tex]
[tex]\mathbf{LN = 2 \times 18 - 12}[/tex]
[tex]\mathbf{LN = 24}[/tex]
[tex]\mathbf{C = L}[/tex]
[tex]\mathbf{C = 60}[/tex]
[tex]\mathbf{AC = LN}[/tex]
[tex]\mathbf{AC = 24}[/tex]
Question 13:
The congruent parts are: KL and RQ, KJ and RS, QS and LJ
Read more about congruent and similar triangles at:
https://brainly.com/question/19589236
Related Questions
i am just going to give points away pls give me brainlyest
Answers
Answer:
Okay will do!!
Step-by-step explanation:
What is the value of 6x2 when x = 1.5?
Round to the tenths place
pls help
Answers
Answer:
13.5
Step-by-step explanation:
6 x^2
Let x= 1.5
6 ( 1.5) ^2
6 *2.25
13.5
How do I find the x in this special triangle?
Answers
Answer:
x=5
Step-by-step explanation:
a^2+b^2=c^2
a=4
b=3
c=x
4^2+3^3=x^2
16+9=x^2
25=x^2
5=x
What is the slope of the line shown below?
Answers
Answer:
y=-1/5x+3 or slope = -1/5
Step-by-step explanation:
Juan's cell phone company charges $35 a month for phone service plus
$0.50 for each text message. How many text messages does Juan send in a
month if his bill was $52?
Answers
Answer:
Juan sends 34 text messages.
Step-by-step explanation:
$52-$35= $17
17 dollars / .50 = 34 messages
Brian measures his height at 160cm to the nearest 10cm.
What is the tallest he could be?
Give the upper bound as your answer.
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Answer:
170 cm is the tallest
Determine the intercepts of the line.
x-intercept(_,_)
y-intercept(_,_)
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Answer:
the x-intercept is (-10, 0) the y-intercept is (-45, 0)
Answer:
X intercept is (-10,0)
Y intercept is (0,-40.5)
Step-by-step explanation:
Hope this helps.
Can someone please help me with this proof?!
Given: AC and BD bis, each other.
Prove: ABCD is a parallelogram
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Answer:
because AC and BD bis => AX = XC; BX = XD
ΔAXD ≅ ΔCXB (SAS) because: AX = CX
DX = BX
m∠AXD = m∠BXC ( 2 opposing angles)
because ΔAXD ≅ ΔCXB (SAS)
=> AD = BC and m∠DAX = m∠BCX
because m∠DAX = m∠BCX => AD//BC
ABCD has AD = BC and AD//BC => ABCD is a parallelogram
Step-by-step explanation:
is 3x + 2y = 5 direct variation
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Answer:
What is the constant variation of Y =- 2 3x?
The constant of variation, k , is 23 .
Step-by-step explanation:
When x is zero in a direct variation equation y will also be zero. That means that the y-intercept of all direct variation equations is always zero.
7. The measure of two angles of a quadrilateral are
120 & 40° and the other two angles are equal, the measure of each of equal angles are
100
200°
50°
105
Answers
Answer:
200
Step-by-step explanation:
total angle degree of quadrilateral is 360° so 360 - (120+60) = 200
I hope you understand it and sorry if it's wrong
True or false, there is a decimal point on every whole number. We just don’t usually write it.
Help LOL I have a quiz I would appreciate it
Answers
Answer:
True
Step-by-step explanation:
for example: 5 could also be written as 5.00
Answer:
I think that’s false it should be
Step-by-step explanation:
If not don’t report me plz
What is the gcf of 99 and 54
Answers
Answer:
9
Step-by-step explanation:
The factors of 99 are 99, 33, 11, 9, 3, 1. The common factors of 54 and 99 are 9, 3, 1, intersecting the two sets above. In the intersection factors of 54 ∩ factors of 99 the greatest element is 9. Therefore, the greatest common factor of 54 and 99 is 9.
Hope this helps :)
Can I have brainliest?
Answer:
9
Step-by-step explanation:
9 x 11 = 99
9 x 6 = 54
this is pretty easy
two step equation!!
Answers
Answer:
Step 1: Simplify both sides of the equation.
z
3
−8=−4
1
3
z+−8=−4
1
3
z−8=−4
Step 2: Add 8 to both sides.
1
3
z−8+8=−4+8
1
3
z=4
Step 3: Multiply both sides by 3.
3*(
1
3
z)=(3)*(4)
z=12
Answer:
z=12
Step-by-step explanation:
How do u know that these two nunbers are oppisites
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Answer:
cous of the negative or positive symbol
Step-by-step explanation:
Please help will mark brainliest if correct
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Answer:
B ------- DE ≅ RS
it's B because DE and RS both contain the equal angles.
What do the four yellow tiles in the model of the equation below represent?
1
xxx
-4
4
-4x
4x
Answers
The metal that is used to hold stained glass pieces together is called __________. a. cement c. paste b. framing d. leading
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Answer:
Paste is the answer if I remember
Estimate the quotient using compatible numbers.
3,512 ÷ 9
30
400
300
40
Answers
Answer:
400. just use simple devision and it'll tell you.
Find the value of x for which m || n.
Answers
Answer:
40
Step-by-step explanation:
The angles are equal to eachother so 4x-26 = 3x+14
Elena went to a store where you can scoop your own popcorn and buy as
much as you want. She bought 10 ounces of spicy popcorn for $2.50.
Write two different equations that represent this situation. Use p for ounces of popcorn and c for cost in dollars.
HELP PLS EJDHWJDHJ
Answers
Answers:
c=0.25p
p=4c
c=.25p
c=1/4p
Hope I' not too late -w-'
Preston adopted a cat from a rescue shelter. He needs to buy some cat litter, so he compares prices at different stores. He finds the best deal at Fluffy Felines Pet Shop, which sells a 20-pound jug of cat litter for $8.60. How much does the cat litter cost per pound?
Answers
You would find this by dividing the 8.60 by the 20 to get to the final answer of 0.43
Answer: 0.43
Step-by-step explanation: divide
Use the table and graph that relates dog ages to human ages to
following question.
question: would there ever be one year assigned to two different quantities? explain.
please help ill mark brainlest and like and rate your answer.
Answers
Answer:
No
Step-by-step explanation:
Why is 25 a composite number? (1 point)
It is odd.
OIt has more than two factors.
O All of its factors are prime numbers.
It is not divisible by any number except one and itself.
Answers
Answer:
it has more than 2 factor
Answer:
I think its b I'm pretty sure
A point has the coordinates (0, k).
Which reflection of the point will produce an image at the same coordinates, (0, k)?
a reflection of the point across the x-axis
a reflection of the point across the y-axis
a reflection of the point across the line y = x
a reflection of the point across the line y = –x
Answers
Using reflection concepts, it is found that the correct option is:
a reflection of the point across the y-axis---------------
The rule for a reflection of a point across the x-axis is: [tex](x,y) \rightarrow (x,-y)[/tex], thus [tex](0,k) \rightarrow (0,-k)[/tex]The rule for a reflection of a point across the y-axis is: [tex](x,y) \rightarrow (-x,y)[/tex], thus [tex](0,k) \rightarrow (-0,k) = (0,k)[/tex]. This is the correct option.The rule for a reflection of a point across the line y = x is: [tex](x,y) \rightarrow (y,x)[/tex], and thus, [tex](0,k) \rightarrow (k,0)[/tex].The rule for a reflection of a point across the line y = -x is: [tex](x,y) \rightarrow (-y,x)[/tex], and thus, [tex](0,k) \rightarrow (-k,0)[/tex].A similar problem is given at https://brainly.com/question/15196246
Answer:
b
Step-by-step explanation:
Alex and Freddy collect stamps. The number of stamps in Alex’s collection is in ratio 3:5 to the number of stamps in Freddy’s collection. If Freddy gives Alex 10 stamps, the ratio will change to 7:9. How many stamps are in both collections together?
Answers
the new ratio is 7 to 9, so we have the equation: (3x+10)/(5x-10)=7/9
9(3x+10)=7(5x-10)
27x+90=35x-70
160=8x
x=20
So Alex has 3*20=60 stamps while Freddy has 5*20=100. Together they have 160
helpppppp I'll give you brainy est
Answers
Answer:
Put those equations into desmos
Step-by-step explanation:
What is the slope of the line with the following points?
Point A (10,6)
Point B (15, 10)
Answers
Answer:
4/5
Step-by-step explanation:
In triangle DEF, segment DJ is a perpendicular bisector of side EF. If EJ is 3y-8 and JF is 7y-40, what is the length of JF?
Answers
Answer: The length of JF = 16 units.
Step-by-step explanation:
Given: In triangle DEF, segment DJ is a perpendicular bisector of side EF.
i.e. DJ is perpendicular to EF and DJ divides EF into two equal parts EJ and JF. [The perpendicular bisector is a line that is perpendicular to a line segment and splits it into two congruent segments.]
If EJ is 3y-8 and JF is 7y-40.
Then, [tex]3y-8=7y-40[/tex]
[tex]\Rightarrow\ 7y-3y=40-8\\\\\Rightarrow\ 4y=32\\\\\Rightarrow\ y=8 \text{ [Divide both sides by 4]}[/tex]
JF= 7(8)-40 =56-40= 16 units
Hence, the length of JF = 16 units.
Answer:
plz giv brainlist
Step-by-step explanation:
Which are equivalent equations? Select two correct answers.
d1 = 2Ad2
d1 = d 1 equals StartFraction 2 A Over d 2 EndFraction.
d2 = d 2 equals StartFraction d 1 Over d2 A EndFraction.
d2 = d 2 equals StartFraction 2 A Over d 1 EndFraction.
d2 = 2Ad1
Answers
Answer:
B and D if not sorry
Step-by-step explanation:
Answer:
b and d
Step-by-step explanation:
Last question!!
Match the picture to the reason that would prove the triangles congruent.
Options:
NONE
ASA
SSS
SAS
AAS
HL
Answers
Answer:
Answer: SAS
Step-by-step explanation:
We must prove that triangles ABC and EDC are congruent.
Since BD bisects AE, then AC is congruent with CE.
Since AE bisects BD, then BC is congruent with CD
Angle C is 90° in the triangle EDC and is also 90° in triangle BCA because they are vertical angles.
Being two sides and the included angle congruent, then both triangles are similar by the SAS theorem.
Answer: SAS
