HELP MEEE QUICK THIS MY LAST QUESTION!!!
Question 10 of 10
Is APQR- AXYZ? If so, name which similarity postulate or theorem applies.
80
Q
180°
P
5
R
х
10
A. Similar - AA
B. Similar - SSS
C. Similar - SAS
Ο Ο
D. Cannot be determined
SUBMIT
Answers
Answer:
A. Similar - AA
Step-by-step explanation:
The given parameters of ΔPQR and ΔXYZ are;
In ΔPQR, we have; PQ = 3, PR = 5, and ∠PQR = 80°
In ΔXYZ, we have; XY = 6, XZ = 10, and ∠XYZ = 80°
In ΔPQR, by sine rule, we have;
3/(sin(∠PRQ)) = 5/(sin(80°))
sin(∠PRQ) = (3/5) × sin(80°)
∴ ∠PRQ = arc sin((3/5) × sin(80°))
In ΔXYZ, by sine rule, we have;
6/(sin(∠XZY)) = 10/(sin(80°))
sin(∠XZY) = (6/10) × sin(80°) = (3/5) × sin(80°)
∴ ∠XZY = arc sin((3/5) × sin(80°))
∠PRQ = ∠XZY by transitive property of equality
Therefore in ΔPQR and ΔXYZ, we have;
∠PRQ = ∠XZY and ∠PQR = ∠XYZ
Therefore, ΔPQR is similar to ΔXYZ by Angle Angle, AA, similarity postulate.
Related Questions
Help!!
Marta is solving the equation S = 2πrh + 2πr2 for h. Which should be the result?
StartFraction S Over 2 pi r EndFraction equals h. – r = h
StartFraction S minus r Over 2 pi r EndFraction equals h. = h
S – S minus StartFraction r Over 2 pi EndFraction equals h. = h
S – S minus StartFraction 2 pi Over r EndFraction equals h. = h
Answers
Answer:
(S-2πr^2)/ 2πr = h
Step-by-step explanation:
S = 2πrh + 2πr^2
Subtract 2 pi r^2 from each side
S-2πr^2 = 2πrh + 2πr^2 -2πr^2
S-2πr^2 = 2πrh
Divide each side by 2 pi r
(S-2πr^2)/ 2πr = 2πrh/2πr
(S-2πr^2)/ 2πr = h
It is given that,
→ S = 2πrh + 2πr²
Now subtract 2πr² from the both sides,
→ S - 2πr² = 2πrh + 2πr² - 2πr²
→ S - 2πr² = 2πrh
Then divide both sides by 2πr,
→ (S-2πr²)/2πr = 2πrh/2πr
→ (S-2πr²)/2πr = h
Hence, (S-2πr²)/2πr = h is the result.
If A =
[tex]if \: a \: = \binom{53}{24} \: and \: b = \binom{32}{10} then \: prove \: that |ab| = |a| . |b| [/tex]
and B = Prove that |AB| = |A| . |B|
Answers
|A| = |53/24| = 53/24
|B| = |32/10| = 32/10
AB = 53/24 * 32/10 = 1,696/240
|A| * |B| = |AB|
|53/24| * |32/10| = |1,696/240|
53/24 * 32/10 = 1,696/240
1,696/240 = 1,696/240
Solve the equation and enter the value of x below. 9x + 4 + x = 54
Answers
Hello!
9x + 4 + x = 54 <=>
<=> 9x + x + 4 = 54 <=>
<=> 10x + 4 = 54 <=>
<=> 10x = 54 - 4 <=>
<=> 10x = 50 <=>
<=> x = 50 : 10 <=>
<=> x = 5 => 9 × 5 + 4 + 5 = 54
Good luck! :)
Answer:
x = 5
Step-by-step explanation:
First, combine like terms. Like terms are terms with the same variables as well as same amount of said variables:
9x + x + 4 = 54
(9x + x) + 4 = 54
10x + 4 = 54
Next, isolate the variable, x. Note the equal sign, what you do to one side, you do tot he other. Do the opposite of PEMDAS.
PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
-
First, subtract 4 from both sides of the equation:
10x + 4 (-4) = 54 (-4)
10x = 54 - 4
10x = 50
Next, divide 10 from both sides of the equation:
(10x)/10 = (50)/10
x = 50/10 = 5
x = 5 is your answer.
~
What are the steps in order of operations
Answers
PEMDAS
Step-by-step explanation:
PEMDAS best identifies all of the steps in order of operation
where PEMDAS stands for parentheses exponents multiplication division addition and subtraction
Hope this helps!
P = Parentheses ( )
E = Exponents 2^2
M = Multiplication x
D = Division /
A = Addition +
S = Subtraction -
Rodrigo traveled at an average speed of 55 miles per hour for 5 hours to get from one national park to the next on his vacation. What is the distance between the national parks?
Answers
Explanation: take 55 miles per hour times the number of hours (5 hours as listed in problem)
Que
pr
The table shows a
proportional relationship. X
y228 45.6 6 8.4 8 11.2
Complete the equation that
represents the table. Ente -
V
re
Answer
49 votos
Answers
Answer:
???
Step-by-step explanation:
Angle A and angle B are supplementary. If the measure of angle B is one-third the measure of angle A, what is the measure of angle B?
E. 22.5°
F. 45°
G. 67.5°
H. 135°
Answers
Answer:
vertically opposite angles
Step-by-step explanation:
supplementaries angles
The measure of angle B is 45° since option F. is correct in the given question.
What do we mean by supplementary angles?Any two angles (say X & Y), are said to be supplementary when their summation (X + Y) is equal to 180°.
How to determine Angle B?Angle A and Angle B are supplementary, which implies A+B=180°.
Angle B is one-third angle A, which implies
[tex]B=\frac{1}{3} A[/tex]
or, 3B = A
Using the value of A in the previous equation, we get 3B + B = 180°.
4B = 180°
or, B = 45°.
Thus, the measure of angle B is 45°. The correct answer is option F.
Learn more about supplementary angles on
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Find the cost of 5 Kgs of apples using the data given in the graph.
Answers
Answer: 2.50 dollars
Explanation:
Locate 5 on the x axis, which corresponds to buying 5 kgs of apples.
Draw a vertical line through 5 on the x axis until you reach the blue line. Mark this as point P.
From point P, draw a horizontal line until you reach the y axis. You should arrive at y = 2.5
This tells us that buying x = 5 kgs of apples will cost a total of y = 2.50 dollars.
How is mathematical thinking established? How can we have mathematical thinking?
修改翻译结果
Answers
Translate How is mathematical thinking established? How can we have mathematical thinking? in to Chinese.
数学思维是如何建立的？ 怎样才能有数学思维？
Complete the remainder of the
table for the given function rule:
y = 3x - 8
X | -4 -2 0 2 4
y -20 [?] [ ] [ ] [ ]
Answers
The values that complete the table are -14, -8, -2 and 4
Function ruleGiven the function y = 3x - 8, we are to complete the given table.
If x = -2
y = 3(-2) - 8
y = -14
If x = 0
y = 3(0) - 8
y = -8
If x = 2
y = 3(2) - 8
y = -2
If x = 4
y = 3(4) - 8
y = 4
Hence the values that complete the table are -14, -8, -2 and 4
Learn more on table of functions here: https://brainly.com/question/3632175
Please help thank you!
Answers
Answer:
2
Step-by-step explanation:
X^2+Y^2=4=2^2
What is the area of this figure
Answers
Answer:
178m squared
Step-by-step explanation:
make 3 rectangular shapes
shape 1 ) 18×5=90
shape 2) 13×6= 78
shape 3) 5×2=10
Add up all the answers and that's the ans
90+78+10=178
in a two digit number the tens digit is 6 more than the units digit. if the digits are interchanged, the sum of the new and the original number is 132. Determine the original number.
Answers
Given:
In a two digit number the tens digit is 6 more than the units digit.
If the digits are interchanged, the sum of the new and the original number is 132.
To find:
The original number.
Solution:
Let the unit digit of the original number be x. So, the tens digit is (x+6) and the value of the number is:
[tex]m=(x+6)\times 10+x\times 1[/tex]
[tex]m=10x+60+x[/tex]
[tex]m=11x+60[/tex]
If we interchange the digits, then the value of new number is:
[tex]n=x\times 10+(x+6)\times 1[/tex]
[tex]n=10x+x+6[/tex]
[tex]n=11x+6[/tex]
The sum of the new and the original number is 132.
[tex]m+n=132[/tex]
[tex]11x+60+11x+6=132[/tex]
[tex]22x+66=132[/tex]
[tex]22x=132-66[/tex]
[tex]22x=66[/tex]
Divide both sides by 22.
[tex]x=\dfrac{66}{22}[/tex]
[tex]x=3[/tex]
So, the unit digit of the original number is 3 and the tens digit is:
[tex]x+6=3+6[/tex]
[tex]x+6=9[/tex]
Therefore, the original number is 39.
Jacob Sketched a floor plan for a new two room clubhouse . In his sketch each centimeter was equal to 1.5 feet . The largest room on his clubhouse plan measured 6.2 cm by 7.4 cm. How many square feet would the actual room be? Round you answer to the nearest hundredth.
Answers
Answer:
103.23 square feet
Step-by-step explanation:
Area of the largest room = length × width
Each centimeter was equal to 1.5 feet
7.4 cm = 1.5 × 7.4 = 11.1 feet
6.2 cm = 1.5 × 6.2 = 9.3 feet
Length = 11.1 feet
Width = 9.3 feet
Area of the largest room = length × width
= 11.1 feet × 9.3 feet
= 103.23 square feet
Graph and identify image coordinates rx=2
Answers
Answer:
Step-by-step explanation:
Rule defining the reflection across the line x = -2 has been given as,
[tex]r_{x=-2}[/tex]
Line x = -2 will work as a mirror for the given triangle J, K, L.
That means distance of the vertices J, K and L and image points J', K' and L' will be equidistant from the line x = -2,
Vertices of the image triangle J'K'L' will be,
J' → (-5, 2)
K' → (-3, 2)
L' → (-4, 1)
Question 1: Use the image and your knowledge of the isosceles triangle to find the value of x
Answers
Answer:
35 degrees
Step-by-step explanation:
since both sides are equal, so are the angles involved.
The Marked price, inclusive of GST, of a notebook computer is $1679.90.it is sold at a discount of 10%.
a) find its marked price before GST
b)Find the GST before discount.
c)What is the selling price of the computer
d) find the GST after the discount
e)what is the percentage decrease in the GST
Answers
Answer:i don’t know
Step-by-step explanation:i don’t know
A restaurant owner is planning to have a courtyard area sodded. The sod comes in rolls that are 3 feet long by 1 foot wide. If the courtyard measures 60 feet by 50 feet, which of the following expressions represents the number of rolls of sod needed?
Answers
Answer:
[tex](60\times 50)\div 3[/tex]
Step-by-step explanation:
We are given that
Length of roll of sod, l=3 feet
Width of roll of sod, b=1 feet
Length of courtyard, L=60 feet
Breadth of courtyard, B=50 feet
Area of rectangle=[tex]Length\times breadth[/tex]
Using the formula
Area of roll of sod=[tex]3\times 1 feet^2[/tex]
Area of roll of sod=3 square feet
Area of courtyard=[tex]60\times 50[/tex] square feet
Number of rolls of sod needed=[tex]\frac{Area\;of\;courtyard}{area\;of\;roll\;of\;sod}[/tex]
Using the formula
Number of rolls of sod needed=[tex]\frac{60\times 50}{3}[/tex]
Number of rolls of sod needed=[tex](60\times 50)\div 3[/tex]
This is required expression which represents the number of rolls of sod needed.
Find the area of the parallelogram
Answers
Answer:
The answer is 32.
Step-by-step explanation:
Just multiply the height by the base length. 4*8=32
Choose ALL terms like 5x?
92
No answer text provided.
-8.7
522
3
43
5
-5.0
Answers
Answer:
strange question...
I assume it is asking which ones can be expressed as "5x"
those are all the ones that are a multiple of 5
5, -5x , & 5x^2 satisfy that
Step-by-step explanation:
The terms that are like 5x are: -8x and 4x as they both have the variable x raised to the power of 1 (x).
Given are some algebraic terms 9x², -8x, 5x², 3, 4x, 5 and -5, out of these we need to choose the terms which are like 5x.
To determine the terms with properties similar to 5x, we need to look for terms that have the same variable (x) raised to the same power (1).
The terms that have similar properties to 5x are those with the variable x raised to the power of 1 (x) or simply x.
From the given terms:
9x² - This term has x raised to the power of 2, not 1.
-8x - This term has x raised to the power of 1 (x), similar to 5x.
5x² - This term has x raised to the power of 2, not 1.
3 - This is a constant term and does not have x.
4x - This term has x raised to the power of 1 (x), similar to 5x.
5 - This is a constant term and does not have x.
-5 - This is a constant term and does not have x.
Hence the terms that are like 5x are: -8x and 4x.
Learn more about algebraic terms click;
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Which property would allow you to use mental computation to simplify the problem 27 + 15 + 3 + 5?
Answers
Answer:
commutative property of addition.
a sequence of additions can be done in any order and the total remains the same.
Step-by-step explanation:
so, we can actually do
27 + 3 + 15 + 5
and now it is easy to combine 27+3 to 30 and 15+5 to 20, and to make the final calculation of 30 + 20 = 50 in our minds.
What is the square root of 538?
Answers
Answer:
23.1948270095
Step-by-step explanation:
PLZZ HELP I REALLY DONT WANNA GO DOWN!!!!!!!!!!!!
Answers
Answer:
see below
Step-by-step explanation: 7 1 16 15
Meal Alone = 393.16
Tax 393.16 × 0.0625 = 24.57 Recall 6.25% = 6.26 / 100 = 0.0625
Tip 393.16 × 0.18 = 70.77 Recall 18% = 18 / 100 = 0.18
Add up the three values = 488.50 Total
an easier way to do this !!!!!! use the distributive rule
393.16 ( 1 + 0.0625 + 0.18)
393.16 ( 1.2425)
Total = 488.5013 or $488.50
This year, Carlos planted 6 more than one-third of the cucumber plants he planted last year. How many cucumber
plants did he plant this year if last year he planted 12 plants?
6
9
10
12? PLEASE HELP SMB
Answers
Answer:
10 plants
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
He planted 10 this year because last year he planted 12, and 1/3 of that is 4. He planted 6 more than that this year, so 4+6=10.
Can someone help me with this math homework please!
Answers
Answfirst one
Step-by-step explanation:
hope it helps thank u
Answer:
first one
Step-by-step explanation:
2 students have the same age but different heights.
since age is the input and height is the output. in order to be a function one must have exact one output for one input.
since the heights of students in Tessa 's class are not a function of their ages (one input must have two outputs) two students of same age must have different heights.
Can you help with 7-10
Answers
Answer:
7.Mean=Ex/n
= 88+96+92+84+86+92+98/7
=90
(b). Median = {84,86,88},92,{92,96,98}
=92
(C).Mode=92 ; it is the number with the highest frequency
9.Mean=Ex/n
=28+26+32+24+27+32+29/7
=28
(b).Median={24,26,27},28,{29,32,32}
=28
(c).Mode=32;it is the number with the highest frequency.
8.Mean=Ex/n
=3.5+5.7+9.8+7+12.4+10.2/6
=8.1
(b).Median={3.5,5.7},7,9.8,{10.2,12.4}
=7+9.8/2
=8.4
(c).Mode=no mode
10.Mean=Ex/n
=2+6+9+8+8+2+8+7+5+4/10
=5.9
(b).Median={2,2,4,5},6,7,{8,8,8,9}
=6+7/2
=6.5
(c).Mode= 8;it is the number with the highest frequency.
I hope this helps.
2. A rectangle has length 13 and width 10. The length and the width of the rectangle are each
increased by 2. By how much does the area of the rectangle increase? *
50
20
38
35
Answers
TRUST ME :
The answer above is correct !!
Which of the following is the graph of the quadratic function y= x2 - 4x + 4
A. Graph D
B. Graph B
C. Graph A
D. Graphic
SUBMIT
Answers
Answer:
graph c
Step-by-step explanation:
it is the longest one
Which equation will solve the following word problem? There are 36 tables and 7 booths in the family restaurant. Each table seats 4 people. If the restaurant can seat up to 184 people, what is the capacity of each booth?
(B * 7 ) - (36 * 4) = 184
7B + (36 * 4) = 184
184 - (36 * 4) = B/7
184/4 = B * 7
Answers
Answer:
7B + (36 * 4) = 184
Step-by-step explanation:
In a family restaurant there are 36 tables and 7 booths.
Each table can seat 4 people.
Let the number of people who can be seated in a booth be represented by B.
Total seating capacity of the restaurant is 184 people.
Expressing this as an equation:
Among the given options, this relation is expressed in the second option, namely, 7B + (36 * 4) = 184
In the image m || n || p.
Given ∠10 = 2x + 70
∠7 = 5x – 20
Find m∠3.
Answers
Given:
In the given figure [tex]m\parallel n\parallel p[/tex].
[tex]m\angle 10=2x+70[/tex]
[tex]m\angle 7=5x-20[/tex]
To find:
The [tex]m\angle 3[/tex].
Solution:
If a transversal line intersect two parallel lines, then the alternate exterior angles are equal.
[tex]m\angle 7=m\angle 10[/tex] (Alternate exterior angle)
[tex]2x+70=5x-20[/tex]
[tex]70+20=5x-2x[/tex]
[tex]90=3x[/tex]
Divide both sides by 3.
[tex]\dfrac{90}{3}=\dfrac{3x}{3}[/tex]
[tex]30=x[/tex]
Now,
[tex]m\angle 3=m\angle 7[/tex] (Corresponding angles)
[tex]m\angle 3=5x-20[/tex]
[tex]m\angle 3=5(30)-20[/tex]
[tex]m\angle 3=150-20[/tex]
[tex]m\angle 3=130[/tex]
Therefore, the measure of angle 3 is 130 degrees.