GEOMETRY HELP PLEASEEEEEEEEEE
Lesson 5-1 Exploring What Makes Triangles Congruent Practice and Problem Solving: A/B
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:
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Does the system have a no solution or infinitely many solutions
Y=2/3x+2-2x+3y=6
Answer:
answer for y=2/3x+2: y=2/3x+2
answer for -2x+3y=6: x=3/2y-3
pls give brainliest
Answer:
There are infinitely many solutions.
Step-by-step explanation:
There are infinitely many solutions because if you solve the equations, you will find that both of the equations are actually the same, so there is infinitely many solutions.
Showing that both equations are equal: y=2/3x+2 -2x+3y=6
y=2/3x+2 Multiply by 3 on both sides
3y=2x+6 Rearrange (-2x on both sides)
3y-2x=6 More rearrangement
-2x+3y=6 Now, if you look back at the second equation, you will see that they are both the same.
please can someone solve
I WILL GIVE 50 POINTS AND BRAINLIEST. Now do I have ur attention
:P
Say some interesting fact or something cool or funny. Winner gets brainliest
Answer:
the same type of skin on your lips is the same type of skin on you bo- it wont let me say it haha
Answer:
What's the best thing about Switzerland.
Answer:
I don't know, but the flag is a big plus.
Step-by-step explanation:
what is the equation of the line that passes through the point (4,-5) and is parallel to the line y=1/2x+5
Answer:
y=1/2x - 7
Step-by-step explanation:
Since the lines are parallel, this means that the slopes will be the same, only the y-intercept will change. I graphed this out to find the answer.
My Fav Football team what’s yours? Follow and Like
Answer:
I don't like Football...
Step-by-step explanation:
Answer: My fav is the New York Giants
Step-by-step explanation:
what is the slope intercept formula
Answer:
y=mx+b
Step-by-step explanation:
Answer:
y=mx+b
Explanation:
The slope-intercept formula is y=mx+b. The b represents the y-intercept, which is the point where a line on a graph meets the y-axis. The coordinates for this would be (0,b). The m represents the slope, which is the rate of change. The x represents any x variable that you plug in. The y represents the y variable.
Sean said that if an item is on sale for 50% off plus an additional 20% off, that is the same as a 70% discount. Megan disagrees. Who is correct? Justify your reasoning.
Answer:
Megan is correct because when you take 20% off, you're taking it off the 50%.
Step-by-step explanation:
Please answer all 3 for 20 points
Item 8
POSSIBLE POINTS: 11.11
In math class, the teacher asked students to randomly select a card and roll a number cube. There were 6 yellow cards, 4 blue, 8 red and 7 green cards. The number cube was numbered 1 through 6. What was the probability of choosing a green card and rolling an odd number?
14%
24%
48%
36%
Answer:
24% is the answer
Step-by-step explanation:
Write an equation in slope-intercept form of the line with slope −6/5 that contains the point (−5,3)
Answer:
y=-6/5x-3
Step-by-step explanation:
y-3=-6/5(x+5)
y=-6/5x-3
In triangle TRS, TZ = (3x) inches and WZ = (2x - 3) inches. Triangle T R S has centroid Z. Lines are drawn from each point to the midpoint of the opposite side to form line segments T W, R V, and S U. [Figure may not be drawn to scale] What is WZ? 6 inches 9 inches 18 inches 27 inches
Answer:
it is 9
Step-by-step explanation:
The value of WZ will be equal to WZ= 9 inches so the correct option is B.
What is trigonometry?
The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle termed trigonometry.
We have: U is the midpoint of TR, V is the midpoint of TS and W is the midpoint of SR
This means that.Z is the centroid of the given triangle centroid point divides any median in the triangle in the ratio of 2:1 from the vertex
This means that:
TZ = 2ZW
3x = 2(2x-3)
3x = 4x - 6
x = 6
Now, we get WZ as follows:
WZ = 2x - 3 and x = 6
WZ = 2(6) - 3
WZ = 12 - 3
WZ = 9 in
Therefore the value of WZ will be equal to WZ= 9 inches so the correct option is B.
The complete image of the triangle is attached with the answer below.
To know more about Trigonometry follow
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Write the equation of the line that passes through (-3, -20) and (1,4).
Answer:
y=6x-2
Step-by-step explanation:
The equation of the line is y=mx+b
FINDING SLOPE: To find the slope of a given line use the equation [tex]\frac{y2-y1}{x2-x1}[/tex]
So x1=-3, y1=-20 and x2=1, y2=4
Plug those numbers into the equation: [tex]\frac{4-(-20)}{1-(-3)}[/tex] and we get the slope which is 6.
FINDING Y-INTERCEPT: Then we find the y intercept by plugging in our points (you can choose) I will use (1,4) and solve.
y=6x+b
4=6(1)+b
b=-2
m to the power of 4 =
when m is 2/3
plz help me
Answer:
WAIT I MESSED UP DONT ANSWER THAT
Step-by-step explanation:
Answer:
[tex]\frac{16}{81}[/tex]
Step-by-step explanation:
[tex]\frac{2}{3} ^{4} = \frac{16}{81}[/tex]I hope this helps!
Don’t know answer help!!!
Answer:
Step-by-step explanation:
AA
What is the slope-intercept equation for the line below?
A) y = 5/4x - 4
B) y = 4/5x - 4
C) y = -4/5x - 4
D) y = -5/4x - 4
Answer:
A) y = 5/4x - 4Step-by-step explanation:
Slope-intercept formula
y = mx + b, where m = slope, b = y-interceptSlope formula
m = (y2 - y1)/(x2 - x1)Given points (on the graph)
(0, -4) and (4, 1)Slope is:
m = (1 - (-4))/(4 - 0) = 5/4y-intercept is
-4 as per the first pointSo the line is:
y = 5/4x - 4Correct answer option is: A) y = 5/4x - 4
Answer:
it is a very very easy sum!
Step-by-step explanation:
goooooood afternoon
A school wants to buy a chalkboard that measures 3 feet by 4 feet the chalkboard cost $6.14 per square foot. How much will the chalkboard cost
Answer:
$49.12
Step-by-step explanation:
On Monday, the temperature was 43°F. On Tuesday, the temperature increased 6°F. On Wednesday, the temperature decreased 13°F. Which integer represents the overall change in temperature from Monday to Wednesday?
Answer:c Thursday
Step-by-step explanation:
If on Monday, the temperature was 43°F. On Tuesday, the temperature increased by 6°F the overall change in temperature from Monday to Wednesday will be 24°F.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
In mathematics, subtraction is defined as the difference between two quantities. The application of subtraction can be used broadly in different applications to find or solve the problems such as finding differences between two quantities and many more.
It is given that on Monday, the temperature was 43°F. On Tuesday, the temperature increased by 6°F. On Wednesday, the temperature decreased by 13°F.
The overall change in temperature from Monday to Wednesday is found as,
= 43°F + 6°F - 13°F
= 24 °F
Thus, if on Monday, the temperature was 43°F. On Tuesday, the temperature increased by 6°F the overall change in temperature from Monday to Wednesday will be 24°F.
Learn more about the arithmetic operation here:
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Find the slope of the table
Answer:
y= -.5x+2
Step-by-step explanation:
Rachel is building a doghouse. She needs to cut a 12-foot long board into lengths of 65 in.
3. How many lengths can she cut?
Answer:
2 cuts; yes, 14 in
Step-by-step explanation:
Look at it correctly and solve on paper
POSSIBLE POINTS: 28.57
The flight path of a volleyball is modeled by the equation h (x) = -0.034x2 + 1.3z +5.5, where h(x) is the height of the volleyball and x is the
horizontal distance measured in feet from where the ball was hit. Determine the maximum height of the volleyball
O 19.118 feet
O 18.344 feet
O 17 926 feet
O 16.982 feet
O 15.004 feet
O 14.621 feet
O 13.955 feet
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1 2 3
4
5
6
ET Review
What is the volume of the prism below?
Aw
2
23
units
$3
3. units
5 units 3
A units 3
Answer:
V = 3.5 m3
Step-by-step explanation:
length l = 1 m
width w = 2 m
height h = 1.75 m
volume V = 3.5 m3
Eddie deposits $1090 in an account that earns 6% interest compounded annually for 3 years. What is the total interest earned after 3 years? Round to the nearest cent.
A: 196.20
B: 208.20
C: 1286.20
D: 1298.20
Answer:
Step-by-step explanation:
Eddie deposits $1090 in an account that earns 6% interest compounded annually for 3 years. What is the total interest earned after 3 years? Round to the nearest cent.
A: 196.20
B: 208.20
C: 1286.20
D: 1298.20
How do I make someone brainlest?
Answer:
When 2 people answers a question you should see a crown and you click on it and that is how you marke someone brainlest
Step-by-step explanation:
What is the the slope of the line through the following points?(7,-4) and (3,8)
3
-3
1
o 1
Answer:
-3
Step-by-step explanation:
If a roof is 24 feet high and if you leaned a 26 foot ladder against the side of a building how far away from the building is the base of a ladder to reach the roof
Answer: 35.4 feet.
Step-by-step explanation:
Given data:
Height of the roof = 24 feet
Height of the ladder = 26 foot
Solution:
c^2 = a^2 + b^2
a = 24
b = 26
c^2 = 24^2 + 26^2
c = √576 + 676
c = √1252
c = 35.4 feet
The foot of the ladder is 35.4 foot away from the top of the ladder.
Answer:
The distance between the base of the ladder and the building is 10 ft
Step-by-step explanation:
Here, we want to calculate the distance between the foot of the ladder and the building
To get this, we need to have a pictorial representation. Please check the attachment for this
From the pictorial representation, we can see a right angled triangle with a hypotenuse of 26 feet and the other side being 24 feet. We now need to get the third side of this triangle which represents the distance we want.
Mathematically, we can calculate the distance using Pythagoras’ theorem which states that the square of the length of the hypotenuse is equal the sum of the squares of the two other sides of the triangle.
Let the distance we are looking for be D
26^2 = 24^2 + D^2
D^2 = 26^2 - 24^2
D^2 = 100
D^2 = 10^2
D = 10 feet
-6 = 2/3r solve for r
Answer:
r=9
Step-by-step explanation:
When a number x is multiplied by 6, the result is 38.
What is the value of x?
Drag and drop the correct number into the box so that the equation is true.
3/8
8/3
1/16
9/4
16
4/9
help me plz it is 10 pts
Answer:
8/3
Step-by-step explanation:
i took the quiz
Answer:
6⅓ The answer is not in the options..
Step-by-step explanation:
6x = 38
x = 38÷6
x = 6 ⅓ / 6.33333..
ANSWER RN IM GOING TO FAIL MY PRE-K TESTTTTT
What does definition mean???
Answer:
a statement of the exact meaning of a word, especially in a dictionary
13x - 5y (if x = 10 and y = 6)
Answer:
13(10) - 5 (6)
130 - 30
= 100
Step-by-step explanation:
You replace the x with 10, and the y with 60 and answer normally
13(30) = 130
5(6) = 30
130 - 30 = 100
