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:
https://brainly.com/question/19589236
use number properties to simplify the expression
-5+(5+3)
Answer:
u
Step-by-step explanation:
How do you write it in a fraction?
helpppppp I'll give you brainy est
Answer:
Put those equations into desmos
Step-by-step explanation:
Brenda wants to buy a phone case that costs $35. It is on sale for 20% off. What would be the sales price? What are we finding?
A) part
B) whole
C) percent
Answer:
A
Step-by-step explanation:
Determine the intercepts of the line.
y = 80 - 18
Answer:
Step-by-step explanation:
This equation is in slop-intercept form. This means that the y-int is in the equation, it will always be the constant, so y is -18.
To find x, set y to 0.
0 = 8x - 18
18 = 8x
18/8 = x
9/4 = x
At a sale this week, a sofa is being sold for $527. This is a 32% discount from the original price. What is the original price?
Please answer correctly !!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!!
Answer:
x=57 degree
Step-by-step explanation:
Answer:
x=57
Step-by-step explanation:
(x-5) + (2x+4) = 180
get all xs on the same side non xs on other side till you get
3x=171
then divide 171 by 3
x = 57
On a scavenger hunt, you find 16 out of 25 objects. Write "16 out of 25" as a fraction, a decimal, and a percent.
Fraction:
Decimal:
Percent:
I need help ASAP
Answer:
Fraction: 16/25 Decimal: 6.25 Percent: 6%
Step-by-step explanation:
I am 99.99% sure this is right.. I hope it helps you.
The statements "16 out of 25" written in fractional, decimal, and percent form are 16/25, 0.64, and 64% respectively.
What is a fraction?A fraction is a part of the whole represented by a/b, where a and b are any integers.
The Given statement is "16 out of 25".
The statement in mathematical form is:
16/25 (Fraction)
= 0.64 (Decimal)
= 64% (percent)
Hence, the statements "16 out of 25" written in fractional, decimal, and percent form are 16/25, 0.64, and 64% respectively.
Learn more on fractions here:
brainly.com/question/10354322
#SPJ2
an airplane begins to descend for a landing. the elevation g (in feet) of the airplane is modeled by the function: g(t)= 4800-300t, where t is the time (in minutes) since the airplane began to descend. what is the y- intercept?
Answer:
The y-intercept in this case is 4800
Step-by-step explanation:
The equation of a line graph is ;
y = mx + c
with respect to the given equation in the question, the y-intercept in this case is 4,800
In this case the y-intercept represent the height from which the plane starts to descend
Dierections:Factor out the GCF from the following.Make sure your answer is factored completely by taking out any common numbers and or variables
Answer:
21
Step-by-step explanation:
your mom
what is the distance between points F(2,9) and G(-2,6)? Round to the nearest whole number.
Answer:
idk i need points
Step-by-step explanation:
Answer: Distance = 5
Step-by-step explanation:
I took the test yesterday and got it correct, I am reliable
a bowl contains 15 gra
Answer: hi
Step-by-step explanation:
Answer:
And, so...
What about the 15 grams?
Look at this set of ordered pairs:
(16, 2)
(15, 5)
(0,4)
Is this relation a function?
yes
no
Answer:
Yes!
Step-by-step explanation:
There are no repeating y values or x values!!
WILL GIVE BRAINLIEST EASY
drag and drop correct answers
Answer:
X- int: -3,0 and 1,0
Y- int: -3, 0
Domain: -inf to +inf
Range:+in to -4
Minimum Value : -4, 1
Which operation will "undo" multiplication? division multiplication subtraction addition
Answer:
The division operation!
Step-by-step explanation:
when you multiple two variables, the one way to undo then is division.
Hope this helps! :)
Answer:
Division
Step-by-step explanation: Because I Got It Right On My Assignment
Aiman has 6 pizzas to share at a party. If each person will eat 3/8 of a pizza, how many people can share the pizzas?
A 48 people
B 16 people
C 2 people
D 6 people
Answer:
The amswer is B, 16 people.
Latisha hired 4 babysitters in the last month. She paid a total of $170 in babysitting fees. If each babysitter worked a total of 5 hours and is paid the same amount, how much did each babysitter earn per hour?
8.5Step-by-step explanation:
which is the solution to the inequality 2 3/5 b-8/15
Answer:
115b−120Step-by-step explanation:
Answer:
b>47/15 ... I think
Lydia ran the same race in 43.85 seconds on her first try and 43.24 seconds on her second try. How much faster was her second try?
Answer:
She ran faster on her second try by 0.61 seconds.
Step-by-step explanation:
43.85-43.24
0.61
plz
I will mark brainliest
Answer:
a)10
b)-11.4
Step-by-step explanation:
you should find common denominator bit don't forget that they are negative
Jonas has $75 to spend on new clothes. The pair of jeans he wants costs $48.50. Which inequality best represents the amount of money Jonas can spend on shirts?A. s+48.50≥75, B. s+48.50 75, D. s+48.50≤75
Add. Write your answer as a fraction in simplest form.
9/10+(-4/5)=?
Answer:
The answer is 1/10
Find PNO, please help asap
Answer:
Step-by-step explanation:
Since MNP is equilateral, so <PNM=60, and since OP//NM, and <PON is 90, so <MNO=90=<PNM+PNO,so 90=60+<PNO,so <PNO=30
PLEASE HELP ASAP
Factor 3x+6y-9z
The rectangle has length 8 cm and area 48 cm2.
The perimeter of the square is the same as the perimeter of the rectangle.
Calculate the area of the square.
Step-by-step explanation:
Given,
length of rectangle(l)= 8cm
area of rectangle(A) = 48cm2
breadth of rectangle(b) = ?
Perimeter of rectangle (P)=?
We know ,
Area of rectangle(A) = l×b
or, 48cm2 = 8cm×b
or, 48cm2 = 8bcm
or, 48cm2/8cm = b
or, 6cm = b
or, b = 6cm
therefore, b = 6cm
Perimeter of rectangle (P) = 2(l+b)
= 2(8cm+6cm)
= 2×14cm
= 28cm
therefore, Perimeter of rectangle(P) = 28cm
Now,
According to the question,
Perimeter of rectangle(P) = Perimeter of square(P)
So,
Perimeter of square(P) = 28cm
length of square(l) = ?
Area of square (A) = ?
We know,
Perimeter of square (P) = 4l
or, 28cm = 4l
or, 28cm/4 = l
or, 7cm = l
or, l = 7cm
therefore, l = 7cm
Now,
Area of square (A) = l^2
= (7cm)^2
= 7cm×7cm
= 49cm^2
therefore, area of square (A)= 49cm^2
The area of the square based on the information is 49cm².
Since the rectangle has length 8 cm and area 48 cm², the width will be:
= 48/8 = 6cm.
Therefore, the perimeter will be:
= 2(l + w)
= 2(8 + 6)
= 28cm
Therefore, the length of the square will be:
= 28/4 = 7
Area of the square will be:
= 7cm × 7cm
= 49cm²
Learn more about perimeter on:
https://brainly.com/question/16596982
Write the equation in slope-intercept form of a line that passes through the given point and
is perpendicular to the graph of the given equation:
y = 1/9x – 4 given point: (–2,9)
Answer:
The answer is y=9x+27
Step-by-step explanation:
Y= 9x+b
9 = 9(-2)+b
9=-18+b
27=b
An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in Texas. He believes that the mean income is $24.6, and the standard deviation is known to be $7.9. How large of a sample would be required in order to estimate the mean per capita income at the 80% level of confidence with an error of at most $0.56? Round your answer up to the next integer.
Answer:
327
Step-by-step explanation:
Calculation for How large of a sample would be required in order to estimate the mean per capita income
First step is to find z 80% confidence level
At 80% confidence level the z will be:
α/2 = 1 - 80% = 1 - 0.80 = 0.20
α/2= 0.20 / 2 = 0.01
Zα/2= Z0.01= 1.28 from z table
Now let calculate the Sample size using this formula
Sample size = n= [( Zα/2* σ ) / E]^2
Let plug in the formula
n = (1.28*7.9/0.56)^2
n= 326.06
n=327 (Approximately)
Therefore How large of a sample would be required in order to estimate the mean per capita income will be 327
3. If the circumference of a round table is 90 inches, what is the area of the table to the nearest
tenth?
can someone pls help me quickly
[tex]\frac{2}{\sqrt{2}}=\boxed{\sqrt{2}}[/tex]