Determine if the triangles are similar. If yes, state how (by AA~ SSS~, or SAS~) and complete the similarity statement
Answers
Answer:
Similar by: SAS
∠LMQ = ∠PMKLM/PM = QM/KMΔPKM ~ ΔLQM
Yes, the triangles PMK and LMQ are similar by SAS similarity statement.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
The triangles PKM and triangle LMQ are the similar triangles.
If two sides and the included angle in one triangle are congruent to two sides and the included angle in another triangle, then the two triangles are congruent
Both the triangles have a common angle M and two sides are proportional
∠LMQ = ∠PMK
The sides are proportional
LM/PM = QM/KM
The triangles are similar
ΔPKM ~ ΔLQM
Hence, Yes the triangles PMK and LMQ are similar by SAS similarity statement.
To learn more on Triangles click:
https://brainly.com/question/2773823
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Related Questions
what is 1/12 in simplest form
Answers
It cant be written any way else its already in its simplest form
Find the measurements of DBC
Answers
Answer:
72 degrees
Step-by-step explanation:
To determine the value of DBC, we first have to determine the value of q
Angle on a straight line = 180 degrees
7q - 46 + 3q + 6 = 180
10q - 40 = 180
collect like terms
10q = 180 + 40
10q = 220
q = 22
Substitute for q in angle dbc
3(22) + 6 = 72 degrees
A small company has a fleet of 3 pickup trucks and 4 delivery vans. A larger company has the same ratio of pickup trucks to delivery vans. If the larger company has 45 pickup trucks, how many delivery vans does it have?
Answers
Answer:
60 delivery vans
Step-by-step explanation:
Smaller company:
Pickup truck : delivery van = 3 : 4
If the larger company has 45 pickup trucks
Let x = number of delivery vans
Larger company:
Pickup truck : delivery van = 45 : x
Equate both ratios
3 : 4 = 45 : x
3/4 = 45/x
Cross product
3 * x = 4 * 45
3x = 180
x = 180/3
x = 60
x = number of delivery vans = 60
Jamie was surveying students about their use of the new science lab in a school. Which question in the survey is a statistical question?
Answers
Complete Question is:
Jamie was surveying students about their use of the new computer lab in a school. Which question in the survey is a STATISTICAL QUESTION?
A.) How qualified is the trainer at the computer lab?
B.) Where is the computer lab located in the school?
C.) What is the number of learning stations at the computer lab?
D.) How many class projects did you complete using the computer lab?
Answer:
D.) How many class projects did you complete using the computer lab?
The answer is D because the question is directly related to the use of their new computer lab and the number of projects the students have completed in the computer lab. This is directly related to the survey since it is carried out for the students using computer lab.
The revenue from a company’s factory in Scranton, PA is given by 2n2-15n+23, where n represents the number of paper goods produced in the factory. The cost in dollars of producing paper goods is given by n2+3n+23. Write and simplify a polynomial expression for the profit from making and selling n paper goods.
Answers
Answer:
The polynomial expression for the profit from making and selling 'n' paper goods, is;
n × (n - 18)
Step-by-step explanation:
The revenue, 'R', and the cost, 'C', from the company's Scranton, PA factory are as follows;
R = 2·n² - 15·n + 23
C = n² + 3·n + 23
The profit, 'P', is the revenue, 'R', in excess of the cost, 'C', therefore;
The profit, P = R - C
By substituting the polynomials representing 'R', and 'C', we have;
P = 2·n² - 15·n + 23 - (n² + 3·n + 23)
∴ P = 2·n² - n² - 15·n - 3·n + 23 - 23
P = n² - 18·n = n·(n - 18)
P = n·(n - 18)
The polynomial expression for the profit from making and selling 'n' paper goods, is P = n·(n - 18).
what is the area of the conposite figure?
Answers
Step-by-step explanation:
Area of Rectangle = Length x Width
Area of Top Rectangle =
[tex]22 \times (31 - 18) \\ = 22 \times 13 \\ = 286 {ft}^{2} [/tex]
Area of bottom Rectangle =
[tex]18 \times 9 \\ = 162 {ft}^{2} [/tex]
Area of Composite figure = Area of top Rectangle + Area of bottom rectangle
[tex] = 286 + 162 \\ = 448 {ft}^{2} [/tex]
Please answer these 3 answers correctly
Answers
Answer: 3. Tan; 4. 4.76; 5. 12
Step-by-step explanation: First question: SOH CAH TOA; if you draw a picture with the given information you know the Opposite and Adjacent sides to the upper left angle, or OA which is also Tan according to Soh Cah Toa. Second question: Use inverse tan(1/12) to solve. Third question: Same idea as the last question but use inverse sin(1/5)
can you guys help me please as much as you can ^^
Answers
Answer:
Step-by-step explanation:
m<1 = 50
m<2 = 22
m<3 = 108
m<4 = 50
m<5 = 65
m<6 = 50
m<7 = 43
m<8 = 65
m<9 = 75
m<10 = 18
m<11 = 25
m<12 = 40
m<13 = 115
m<14 = 65
m15 = 115
help pls and tyyy:)))
Answers
F(1)= 3(1)-2
3-2= 1
Answer: f(1)= 1
HELP !!
In a sequence of numbers, a4=9, a5=15, a6=21, a7=27, and a8=33.
Which recursive rule can be used to find the nth term of the sequence, an?
a1=−9; an=an−1+6
a1=−9; an=6an−1
a1=9; an=an−1+6
a1=9; an=6an−1
Answers
Answer:
Given sequence:
a₄=9, a₅=15, a₆=21, a₇=27, and a₈=33Common difference is:
33-27 = 27 - 21 = 21 - 15 = 15 - 9 = 6Find the first term:
a₃ = 9 - 6 = 3a₂ = 3 - 6 = - 3a₁ = -3 - 6 = -9Recursive formula:
a₁ = -9 and aₙ = aₙ₋₁ + 6Correct choice is A
Solve X
[tex] {16}^{ \frac{1}{5} } \times {2}^{x} = {8}^{ \frac{3}{4} } [/tex]
I got X= 9/10
am I right?
Answers
16^1/5 = 2^4/5 .. & .. 8^3/4 = 2^9/4
____________
2^4/5 × 2^x = 2^9/4
2^16/20 × 2^x = 2^45/20
2^[ ( 16/20 ) + x ] = 2^45/20
16/20 + x = 45/20
x = 45/20 - 16/20
x = 29/20
There is a manhole cover with a radius of 1 foot. What is the manhole cover's diameter?
Answers
Step-by-step explanation:
This seems like you just want to figure out the circumference of the manhole cover. The formula for the circumference of a circle is pi (3.14) multiplied by the diameter (d) of the circle so, circumference=πd. (π is the symbol for pi and approx. equals 3.14)
Circumference = πd
= 3.14(d)
= 3.14(3)
= 9.42 ft.
The length of the brass grip-strip will be 9.42 ft.
If the problem was stated in terms of the radius of the manhole cover then the formula would be circumference = 2πr which is the radius multiplied by 2 then multiplied by pi.
The radius of a circle is the distance from the center to the edge and the diameter is the distance from one edge of the circle to the other passing through the center of the circle.
Well, if the grip strip were of no width and could be straightened out to a line (which a piece of rubber cut in a circle couldn't be), then the length of the grip would correspond to the circumference of the manhole cover.
Circumference = 2*PI*radius = PI*diameter so your answer is 3*PI feet long.
Find k given that these three points are collinear.
A(0, -2), B(2, 0), and C(5, k)
Answers
Answer:
k = 3.
Step-by-step explanation:
If they are collinear the slope of AB = the slope of BC, so :-
(0- (-2)) / (2 - 0) = (k - 0) / (5 - 2)
2/2 = k/3
1 = k/3
k = 3.
Can I get help with this please I am so stuck in here
Answers
Answer:
the correct answer is d
hope it help
Circle A has a radius of 16 inches. What is the circumference?
Answers
Answer:
100.571inches
Step-by-step explanation:
Perimeter. =2πr
Perimeter. =2×22÷7×16
Perimeter. =704÷7
Perimeter. =100.571inches
PLEASE GIVE BRAINLIEST
i need help please and thanks
Answers
Answer:
[tex]48cm^{2}[/tex]
Step-by-step explanation:
Split the shape up into two rectangles
(1) rectangle would be 2 x 10 = 20
(2) rectangle would be 4 x 7 = 28
Add them up = [tex]48cm^{2}[/tex]
I'll give you the brainliest
Answers
Answer:
>
Step-by-step explanation:
sqrt{17} > sqrt{11}
Answer: >
Step-by-step explanation: the square root of 17 is going to be larger than the square root of 11. since you add 3 to both equations, that is all you have to worry about.
33.6
25
27
68.4
8
[4 * (4 + 3)] - 3
[17 – 5) = 3] x 2
(5.4 + 3) * (6-2)
[9= 3 +6] * 3
DDDDD.
0
(4 +3.2) * [(9 - 2) + 2.5]
Answers
Step-by-step explanation:
1
A student made 6 bows from 12 yards of ribbon. How many bows can be made from 3
2
yards of ribbon?
2
D A bag of almonds weighs 1-pounds.
what is 25/x 15/30 can you please help
Answers
Answer:
x = 50.... 25/50 = 15/30 or 1/2 = 1/2
Step-by-step explanation:
25/x = 15/30
consider the cross multiply
25 * 30 = 15 * x
750 = 15x
divide both sides with 15 to make the co-efficient of x, 1.
x = 50
Answer:
5×15/6
5×5/2
25/2
12.2 is your answer ☺️☺️☺️. If I'm right so,
Please mark me as brainliest. thanks!!!
Hhhhhhhhhhjhhjhhjhjjjjjjhhhhhhhhhh
Answers
Answer:
i know right? It's so difficult till I'm brainless when I try to solving it
Answer:
same tbh
Step-by-step explanation:
Can someone please help me with this question
This is Amy's family.
Her family of 6 people(4 adults and 2 children) went to
Super Nintendo World last year. Although she couldn't
remember what each tickets costed, she knew that her
family paid $1700 total for the tickets,
use variable a for number of adult tickets
use variable c for number of child tickets
Write an equation that describes this situation,
Answers
Answer:
4a + 2c = 1700
Step-by-step explanation:
Solve the system of equations.
5y - 4x = -7
2y + 4x = 14
X=
y =
Answers
Step-by-step explanation:
7y = 7
y = 1
2(1) + 4x = 14
4x = 12
x = 3
Sammy counts the number of people in one section of the school auditorium. He counts 18 female students, 16 male students, and 6 teachers. There are 720 people in the auditorium. Consider the probability of selecting one person at random from the auditorium
Answers
Correct Question:
He counts 18 female students, 16 male students, and 6 teachers. There are
720 people in the auditorium. Consider the probability of selecting one person
at random from the auditorium.
Which of these statements are true?
Choose all that apply.
A: The probability of selecting a teacher is 6%.
B : The probability of selecting a student is 85%.
C : The probability of selecting a male student is 32%.
D : The probability of selecting a female student is 45%.
Step-by-step explanation:
Option B and D are correct because
The total number of people in one cross section = 18 + 16 + 6 = 40.
A = The probability of selecting a teacher is = (6/40)x100 = 15 % not equal to 6 %
B = The probability of selecting a male student is = (34/40)x100 = 85%
C = The probability of selecting a male student is = (16/40)x100 = 40 % not equal to 32 %
D : The probability of selecting a female student is = (18/40)x100= 45%
One hundred tickets, numbered 1, 2, 3, …, 100, are sold to 100 people for a drawing. Four different prizes are awarded, including a grand prize (a trip to Tahiti). How many ways are there to award the prizes if a) the person holding ticket 47 wins one of the prizes? b) the people holding tickets 19 and 47 both win prizes?
Answers
Solution :
It is given that four different prizes were awarded. So,
a). 4 ways for person 47 to win a prize
99 ways to give out the 2nd prize
98 ways to give the 3rd prize
97 ways to give the last prize
∴ P(99,3) = 99 x 98 x 97
b). 1 way to give person 47 their prize
1 way to give person 19 their prize
98 ways to give out the 3rd prize
97 ways to give out the last prize
So, P(98,2) = 98 x 97
not sure what the answer is
Answers
Given:
Base dimensions of a rectangular prism = 15 cm × x cm
The height of the prism = 8 cm
Volume of the prism = 600 cm.
To find:
The value of x.
Solution:
Base area of the prism is:
[tex]B=length\times width[/tex]
[tex]B=15\times x[/tex]
[tex]B=15x[/tex]
Volume of the prism is:
[tex]V=Bh[/tex]
Where, B is the base area and h is the height of the prism.
Putting [tex]V=600,B=15x,h=8[/tex], we get
[tex]600=15x\times 8[/tex]
[tex]600=(8)(15)x[/tex]
[tex]\dfrac{600}{(8)(15)}=x[/tex]
Therefore, the correct option is C.
A sphere has a radius of 9 feet. A second sphere has a radius of 6 feet. What is the difference of the volumes of the spheres? The volume of the larger sphere is π cubic feet greater than the volume of the smaller sphere.
Answers
Answer:
684 π
Step-by-step explanation:
volume of a sphere = (4/3) x (n) x (r^3)
n = 22/7
r = radius
volume of larger sphere
4/3 x n x 9³ = 972 n
4/3 x n x 6³ =288n
972n - 288n = 684n
One penny is 1% of a dollar
$ 0.25 is 25% of a dollars . $1.25 is 12.5% dollars
Answers
Answer:
$1.25 is NOT 12.5% dollars. It is 125% of a dollar.
Step-by-step explanation:
We have 1 and 1/4 dollars. 1 and 1/4 as a percentage is 125%
def:This is what we call the money you get back when you pay for something.
term:
Answers
Answer:
Change
Step-by-step explanation:
I call what I get back in return, change. The money we get back if you pay extra for something you buy.
Hope this helps!
20. An airport, a factory, and a shopping center are at the vertices of a right triangle formed by three highways. The airport and factory are 6.0 miles apart. Their distances from the shopping center are 3.6 miles and 4.8 miles, respectively. A service road will be constructed from the shopping center to the highway that connects the airport and factory. What is the shortest possible length for the service road? Round to the nearest hundredth
Answers
Answer:
2.88 mi
Step-by-step explanation:
Which is NOT true?
A 11 = 11
B 11 = 18 - 7
C 11 + 5 = 15 + 11
D 11 + 3 = 6 + 8
Answers
Answer:
C
Step-by-step explanation:
11+5=15
15+11=26
15 does not equal 26
Answer:C 11 + 5 = 15 + 11
Step-by-step explanation:
This is the only one that is false because the left side of the equation is equal to 16 and the right side of the equation is equal to 26