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
Which graph has figures that can undergo a similarity transformation to justify that they are similar? On a coordinate plane, a small square and a rectangle are shown. On a coordinate plane, 2 rectangles are shown. The smaller rectangle is 1 unit smaller than the larger rectangle on all sides. On a coordinate plane, 2 rectangles are shown. The smaller rectangle is 1 unit smaller on the left and top sides than the larger rectangle. On a coordinate plane, 2 rectangles are shown. The smaller rectangle is 3 units smaller on the left side and 1 unit smaller on the top than the larger rectangle.
Answers
Answer:
I think it is the second graph.
Step-by-step explanation:
Answer:
its the second graph.
Step-by-step explanation:
Please help!
The following is an isosceles trapezoid, find WX
Answers
Answer:
WX=33
Step-by-step explanation:
Isosceles Trapezoid
The base angles of an isosceles trapezoid are congruent. The base angles of the trapezoid shown in the figure are P and Q, and S and R.
Midsegment Theorem: The length of the midsegment of a trapezoid is the average of the lengths of the bases.
Being W and X the midsegments of PS and QR respectively, then WX is the midsegment of PQ and SR, thus
[tex]\displaystyle WX=\frac{PQ+SR}{2}[/tex]
[tex]\displaystyle WX=\frac{27+39}{2}=\frac{66}{2}=33[/tex]
WX=33
3 + 2p - 4 = 11
algebra 1 solving equations
Answers
Answer: the variable is p=6 .
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable
Answer:
p = 6
Step-by-step explanation:
Step 1: Simplify both sides.
3 + 2p − 4 = 11
3 + 2p + −4 = 11
(2p) + (3+−4) = 11 (Combine Like Terms)
2p + −1 = 11
2p − 1 = 11
Step 2: Add 1 to both sides.
2p − 1 + 1 = 11 + 1
2p = 12
Step 3: Divide both sides by 2.
2p/2 = 12/2
p=6
how to turn a fraction into a decimal, help
Answers
A fraction is really just another way to write a division problem without dividing. So all you have to do is divide, then round to whichever decimal place your teacher wants.
-3 1/2 x + 3.5 - x + 6.25
A. -4 4x+ 9.75
B. -2 * x + 9.75
C. -24x - 2.75
D. -4 4 x -2.75
Answers
Answer:
C- -24x - 2.75
Step-by-step explanation:
A 6-column table with 3 rows in the second, third, and fifth columns and 1 row in the other columns. The first column labeled Number of Washers has entry 1 washer mass = 4.9 grams. The second column labeled Trial has entries trial number 1, trial number 2, trial number 3. The third and fourth columns labeled Time to travel 0.25 meters t subscript 1 (seconds) have entries in the third column 2.24, 2.21, 2.23 and average in the fourth column. The fifth and sixth columns labeled time to travel 0.5 meters t subscript 2 (seconds) have entries in the fifth column 3.16, 3.08, 3.15 and in the sixth column average.
The average time that it takes for the car to travel the first 0.25m is
s.
The average time to travel just between 0.25 m and 0.50 m is
s.
Given the time taken to travel the second 0.25 m section, the velocity would be
m/s.
Answers
Answer:
2.23
.90
.28
Step-by-step explanation:
Answer: your answer are 2.23, .90, .28
Step-by-step explanation:
your answer are 2.23, .90, .28
What is the expanded form of 720.058
Answers
Answer:
Standard Form:
720.058
Expanded forms can be written like a sentence or stacked for readability as they are here.
Expanded Notation Form:
720.058 =
700
+ 20
+ 0
+ 0.0
+ 0.05
+ 0.008
Expanded Factors Form:
720.058 =
7 × 100
+ 2 × 10
+ 0 × 1
+ 0 × 0.1
+ 5 × 0.01
+ 8 × 0.001
Expanded Exponential Form:
720.058 =
7 × 102
+ 2 × 101
+ 0 × 100
+ 0 × 10-1
+ 5 × 10-2
+ 8 × 10-3
Word Form:
720.058 =
seven hundred twenty and fifty-eight thousandths
Step-by-step explanation:
Answer:
700 + 20 + 0 + 0.050 + 0.008
Step-by-step explanation:
Simplify the following expression (87x + 63y) - (6x + 32y)
Answers
Answer: 81x + 31y
Step-by-step explanation:
Question 6 of 10
What is the value of p?
140"
90
lo
O A. 600
ОО
B. 900
C. 40°
O D. 50°
Answers
Answer:
B answer is correct hiiii
Answer: 50
Step-by-step explanation:
La otra tarde vi en un parking 39 vehículos, entre coches y motos, a los que les
conté un total de 126 ruedas. ¿Cuántos vehículos de cada clase había en el parking?
Answers
Answer:
quince
Step-by-step explanation:
M=_ please help me thank you
Answers
Answer:
m= e= mc square
Step-by-step explanation:
find the value of x PLEASE EXPLAIN
Answers
Answer:
x = 57, x = 111
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 angles and equate to 180, that is
x + 67 + 56 = 180
x + 123 = 180 ( subtract 123 from both sides )
x = 57
---------------------------------------------------------------------
Similarly
x + 47 + 22 = 180
x + 69 = 180 ( subtract 69 from both sides )
x = 111
We can say that:
In the first triangle, x = 57°In the second triangle, x = 111°Let's go!We must know that the sum of all the internal angles of a triangle is equal to 180°. So, just solve an equation to determine x in each triangle.
First triangle:67 + 56 + x = 180 → Sum:123 + x = 180 → We move 123 to the other side, changing its signal.x = 180 - 123 → Subtract:x = 57°Second triangle:22 + 47 + x = 180 → Sum:69 + x = 180 → We move 69 to the other side, changing its signal.x = 180 - 69 → Subtract:x = 111°________________
Hope this helps! Good studies! ☺
Miss Tay paid a total of $14.00 for 5 mangoes and 8 oranges. Each mango cost $1.50 more than an orange. Find the cost of each mango and each orange.
Answers
Answer:
$2.80
Step-by-step explanation:
14.00 for 5 mangos and 8 oranges
14/5=2.8 for each mango
2.8+1.50=4.30
(9.32 * 10^3) (3.32 *10^2)
Answers
Answer:
−72,−2.8,−54, 43, 1.3
Step-by-step explanation:
Answer:
3,094,240
Step-by-step explanation:
(9.32 x 10^3) (3.32 x 10^2)
(9.32 x 1000) (3.32 x 100)
(9320) (332) = 3094240
The volume of a fish tank is 40 cubic feet. If the density is 0.4 fish over feet cubed , how many fish are in the tank?
Answers
Answer:
16
Step-by-step explanation:
Hope this helps :)
A professional quarterback passed for 4,384 yards in 16 games in one football season. If he passed for the same number of yards each game, how many yards did he pass for in each game? Enter your answer in the box.
Answers
hope this helps
Write the equation of the line that passes through (-3, -20) and (1,4).
Answers
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
A study shows that 78% of adults need eye correction. If 12 adults are randomly selected, find the probability that atleast 11 of them need correction for their eyesight
Answers
Answer: 0.2224
Step-by-step explanation:
Given: The proportion of adults need eye correction: p= 78%=0.78
Let X be a binomial variable that represents the number of adults who need eye correction.
Sample size of adults: n= 12
Binomial ditsribution formula:
[tex]P(X=x)=^nC_xp^x(1-p)^{n-x}[/tex]
Now, the probability that at least 11 of them need correction for their eyesight will be
[tex]P(X\geq11)=P(X=11)+P(X=12)\\\\=^{12}C_{11}(0.78)^{11}(1-0.78)^{1}+^{12}C_{12}(0.78)^{12}(1-0.78)^{0}\\\\=(12)(0.78)^{11}(0.22)+(1)(0.78)^{12}(1)\\\\\approx0.1716503+0.05071486=0.22236516\approx0.2224[/tex]
Hence, the required probability = 0.2224
Evaluate the function f(x) = -2x + 9 when x = 2
Answers
Answer:
I think x= 5
Step-by-step explanation:
because u put 2 where x is supposed to go so it would be -2(2)+9 and -2(2)=-4 and then add 9 and that =5
Lexi jarred 2.3 liters of jam after 2 days. How many days does Lexi need to spend making jam if she wants to jar 4.6 liters of jam in all?
Answers
Answer:
bruh 4 days duh
Step-by-step explanation:
A TV that normally cost $800 is on sale for 33% off. There is a 6% sales tax on the purchase. What is the final cost of the TV?
Answers
Answer:
$568.16
Step-by-step explanation:
Answer: The answer to your problem is $568.16
HELP ME PLEASE ASAP!?!Which of the following is most likely the next step in the series?
A
B
C
D
Answers
Answer:
D
Step-by-step explanation:
it goes the next and last way and its the next colour
What is the equation of the line through the origin and (3, 4)?
O A. y = 2
O B. y = x
O
C. y = 4x
O D. y = 3x
Answers
Answer:
A logarithm is the power to which a number must be raised in order to get some other number (see Section 3 of this Math Review for more about exponents). For example, the base ten logarithm of 100 is 2, because ten raised to the power of two is 100: log 100 = 2. because.
STep-by-step Ihave a felling its b
how do you factor quadratics into binomials
Answers
Answer:
Step-by-step explanation:
Step 1: Write the equation in the correct form. In this case, we need to set the equation equal to zero with the terms written in descending order.
Step 2: Use a factoring strategies to factor the problem.
Step 3: Use the Zero Product Property and set each factor containing a variable equal to zero.
select the length of the missing side of triangle b
1.5
4.5
5
6
Answers
Answer:
4.5
Step-by-step explanation:
Nolan plots the y-intercept of a line at (0, 3) on the y-axis. He uses a slope of 2 to graph another point. He draws a line through the two points. Which equation represents Nolan’s line?
y = 2x + 1
y = 2x + 3
y = 3x + 2
y = 3x + 5
Answers
Answer:
The equation of Nolan's line is [tex]y=2x+3[/tex]
Step-by-step explanation:
The slope-intercept form of a line is given by:
[tex]y=mx+b[/tex]
Here
m is the slope of the line
and b is the y-intercept.
Given
y-intercept = b = 3
slope = m = 2
The values of m and b can be put into the equation to find the line's equation
So,
Putting the value
[tex]y = 2x+3[/tex]
Hence,
The equation of Nolan's line is [tex]y=2x+3[/tex]
Answer:
The answer is y 2x + 3.
Step by step:
Because i know
Allison is planning a bridal shower for her daughter. She has decided on a budget of $3,000 to pay for expenses in her & budget categories of venue, food, dessert, and 1 thank you gifts. Allison has budgeted $1,750 for food and dessert. She wants to spend of the remaining money in her budget on the venue, and on thank you gifts, How 1 much money will Allison budget for the venue? How much money will she budget for thank you gifts
Answers
Answer: Allison will budget $937.50 for the venue and $312.50 for thank-you gifts.
Step-by-step explanation:
Subtract $1,750 from Allison's budget of $3,000 to see how much Allison can budget for the venue and thank-you gifts.
$3,000-$1,750=$1,250
Allison can budget $1,250 for the venue and thank-you gifts.
Multiply $1,250 by 3/4 to calculate how much money Allison will budget for the venue.
$1,250⋅34=$937.50
Multiply $1,250 by 1/4 to calculate how much money Allison will budget for thank-you gifts.
$1,250⋅1/4=$312.50
Allison will budget $937.50 for the venue and $312.50 for thank-you gifts.
Solution set of equation x^2-5x=0
Answers
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex] {x}^{2} - 5x = 0[/tex]
Factorise x
[tex]x(x - 5) = 0[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Hint :
[tex]a \times b = 0[/tex]
[tex]a = 0 \: \: \: \: or \: \: \: \: b = 0[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Thus ;
[tex]x = 0 \: \: \: \: or \: \: \: \: x - 5 = 0[/tex]
So :
[tex] x = 0 \: \: \: \: or \: \: \: \: x = 5[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
CHECK :
[tex]x = 0[/tex]
[tex] {0}^{2} - 5(0) = 0[/tex]
[tex]0 - 0 = 0[/tex]
[tex]0 = 0[/tex]
The solution is correct.
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]x = 5[/tex]
[tex] {5}^{2} - 5(5) = 0[/tex]
[tex]25 - 25 = 0[/tex]
[tex]0 = 0[/tex]
The solution is correct.
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Evaluate 5x-2w+t
Help needed!!
Answers
the answer is the same
The value of x is (2w - t)/5.
The value of w is (5x + t)/2.
The value of t is 2w - 5x.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
5x - 2w + t = 0
Solve for x.
5x - 2w + t = 0
5x = 2w - t
x = (2w - t)/5
Solve for w.
5x - 2w + t = 0
5x + t = 2w
w = (5x + t)/2
Solve for t.
5x - 2w + t = 0
t = 2w - 5x
Thus,
The value of x, w, and t is given above.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
WILL MARKDOWN BRAINLIEST
Answers
Answer:
1. $539
2. $300
3. C
Step-by-step explanation:
May I have brainliest?