1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mamaluj [8]
2 years ago
11

Triangles PQR and STU are similar. The length of PQ = 36 cm, RP = 48 cm and QR = 24

Mathematics
1 answer:
gladu [14]2 years ago
5 0

Answer:

207 cm

Step-by-step explanation:

Because ΔPQR ≅ΔSTU and the longest side in the ΔPQR is RP then the longest side in ΔSTU must be SU = 92 cm

Perimeter of triangle PQR is

P(ΔPQR) = 36+48+24 = 108 cm

Because the triangles are are similar their sides are in proportion.

But how much bigger did the second triangle get?...is (92/48) times bigger

P(ΔSTU) = 180*(92/48) = 207 cm

...you can also use proportions to find each side and then find the perimeter

TU = 24*92 /48 = 46

TS = 36*92/48 = 69

SU = 92

P(ΔSTU) = 92+69+46 =207 cm

*the triangles are not drawn to scale

You might be interested in
let a = (a1, a2) and b = (b1, b2) and c = (c1,c2) be three non zero vectors. if a1b2 - a2b1 is not equal to 0. then show three a
Ksenya-84 [330]

Consider the contrapositive of the statement you want to prove.

The contrapositive of the logical statement

<em>p</em> ⇒ <em>q</em>

is

¬<em>q</em> ⇒ ¬<em>p</em>

In this case, the contrapositive claims that

"If there are no scalars <em>α</em> and <em>β</em> such that <em>c</em> = <em>α</em><em>a</em> + <em>β</em><em>b</em>, then <em>a₁b₂</em> - <em>a₂b₁</em> = 0."

The first equation is captured by a system of linear equations,

\begin{cases}c_1 = \alpha a_1 + \beta b_1\\ c_2 = \alpha a_2 + \beta b_2\end{cases}

or in matrix form,

\begin{pmatrix}c_1\\c_2\end{pmatrix} = \begin{pmatrix}a_1&b_1\\a_2&b_2\end{pmatrix}\begin{pmatrix}\alpha\\\beta\end{pmatrix}

If this system has no solution, then the coefficient matrix on the right side must be singular and its determinant would be

\begin{vmatrix}a_1&b_1\\a_2&b_2\end{vmatrix} = a_1b_2-a_2b_1 = 0

and this is what we wanted to prove. QED

3 0
3 years ago
The table below shows the information given on a can of turkey chili.
Evgen [1.6K]

Answer:

A i think

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Please help , I would sincerely appreciate it
kozerog [31]

Answer:

B . S /2rh =pi

Step-by-step explanation:

S = 2* pi * r*h

We are solving for pi

Divide both sides by 2rh to isolate pi

S/ 2rh = 2 * pi *r* h / 2rh

S /2rh =pi

5 0
3 years ago
5x-6_&lt; -5x +16 <br> solve
Olegator [25]

Answer:

haha

Step-by-step explanation:

thanks for the points

4 0
2 years ago
Can somebody plz help me [-5+(-7)]^2-(7+3)^2
Firdavs [7]

Answer:

\boxed{44}

Step-by-step explanation:

[-5+(-7)]^2-(7+3)^2

Resolving Parenthesis

(-5-7)^2-(10)^2\\(-12)^2-100\\144-100

=> 44

8 0
3 years ago
Read 2 more answers
Other questions:
  • Simplify:<br> 2ab+2/2ab-2 <br> a=1 and b=3
    8·2 answers
  • Help me with this I can’t figure it out
    15·2 answers
  • mary and cindy can do a typing test in 2 hours. mary can do it in 3 hours less than cindy. how many hours can cindy do it in?​
    13·1 answer
  • The price of a new computer is p dollars. The computer is on sale for 40% off. Which expression shows the savings that are being
    13·1 answer
  • Made up of quantities and the operations performed on them<br><br> what is this vocab word
    8·1 answer
  • Prove: Let x and y be positive real numbers. If x ≤ y, then √x ≤ √y.
    5·1 answer
  • What is not a factor of six 2,3,4,or1
    10·2 answers
  • Please Help I Will Give Brainliest!
    8·2 answers
  • GEOMETRY HELP PLS ALMOST DONE THANK U
    12·1 answer
  • Help me pleaseee!!! just one more question-!!​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!