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
evablogger [386]
3 years ago
10

For the triangles ABC and MNP m∠A = m∠M, AB = 16, AC = 10, MN = 7, MP = 24. Find the ratio of the A△MNP and A△ABC .

Mathematics
2 answers:
Digiron [165]3 years ago
3 0

Answer:

Ratio of area of triangles MNP and ABC is 1.05

Step-by-step explanation:

There are 2 triangles ABC and MNP.

We are given that ,m∠A = m∠M.

AB = 16 and AC = 10.

MN = 7 and MP = 24.

Area of a triangle ∝ Product of any two sides.

So area of triangle ABC ∝ 16\times 10

Area of triangle ABC = 160\times k ,

where k is a constant.

So area of triangle MNP ∝ 7 \times 24

Area of triangle MNP = 168\times k

So ratio of area of triangles = \frac{Area of MNP}{Area of ABC}

                                              = \frac{168}{160}

                                               = 1.05

dolphi86 [110]3 years ago
3 0

Answer:

21 : 20

Step-by-step explanation:

Area of ABC

½ × AB × AC sinA

½ × 16 × 10 sinA

80sinA

Area of MNP

½ × MN × MP sinM

sinM = sinA because angle M = angle A

½ × 7 × 24 sinA

84sinA

Ratio:

MNP : ABC

84sinA : 80sinA

21 : 20

You might be interested in
How much pure acid should be mixed with 6 gallons of a 20% acid solution in order to get a 90% acid solution?
beks73 [17]
So, how much acid is there in 6 gallons?  well is 20% acid or (20/100), so the amount of acid in it just (20/100) * 6 or 1.2, the rest is say water.

now, if we want a 90% solution, and say we add "y" gallons, how much acid is in it?  well (90/100) * y, or 0.9y.

now let's add "x" gallons of pure acid, now, pure acid is just pure acid, so is 100% acid, how much acid is there in it?  (100/100) * x, or 1x or just x.

we know whatever "x" and "y" amounts are, they -> x + 6 = y

and we also know that x + 1.2 = 0.9y

\bf \begin{array}{lccclll}
&\stackrel{gallons}{acid}&\stackrel{acid~\%}{quantity}&\stackrel{acid~gallons}{quantity}\\
&------&------&------\\
\textit{pure acid}&x&1.00&x\\
\textit{20\% sol'n}&6&0.20&1.2\\
------&------&------&------\\\
mixture&y&0.90&0.9y
\end{array}
\\\\\\
\begin{cases}
x+6=\boxed{y}\\
x+1.2=0.9y\\
----------\\
x+1.2=0.9\left( \boxed{x+6} \right)
\end{cases}
\\\\\\
x+1.2=0.9x+5.4\implies x-0.9x=5.4-1.2\implies 0.1x=4.2
\\\\\\
x=\cfrac{4.2}{0.1}\implies x=\stackrel{gallons}{42}
3 0
3 years ago
si tienes una mesa de 25m de largo por 10 de ancho ¿ en cuanto varíaran cada una de sus dimensiones para que sin alterar su supe
Murrr4er [49]

responder: 8,75

Cada dimensión será de 8,75 porque si la longitud es de 25 m de largo y el ancho es 10, si los sumamos y obtendremos 35. Así que 35 dividido entre 4 es 8,75

5 0
3 years ago
Can someone plss help mee ??
Dvinal [7]
First - 8
second - 4
third - 12
fourth - 9
3 0
3 years ago
Jeremy bought a 5-kilogram can of peanuts for $4.50. What is the unit price?
Goryan [66]

Answer:

$0.90

Step-by-step explanation:

you would divide it by 5

$4.50/5=$0.90

hope this helps

brainliest?

6 0
3 years ago
Simplify the expression.
Sati [7]

Answer:

LAST OPTION: x^9

Step-by-step explanation:

For this exercise it is important to remember the Power of a power property, which states that:

(a^m)^n=a^{mn}

The expression given in the exercise is:

(x^\frac{3}{2})^6

Therefore, in order to simplify it, you  must apply the Power of a power property explained before.

Then, you get the following expression:

=x^{(\frac{3}{2}*6)}=x^{(\frac{3*6}{2})}=x^{\frac{18}{2}}=x^9

As you can notice, the expression obtained matches with the expression provided in the last option.

6 0
3 years ago
Other questions:
  • If y = kx, what is the value of k if y = 20 and x = 0.4?
    12·1 answer
  • PLEASE HELP ME FOR EXTRA POINTS AND BRAINLIEST ANWSER
    11·1 answer
  • Natalie went to the shoe store and bought two pairs of sneakers. One pair was $35.60, and the other was $49.95. If she has $100.
    13·2 answers
  • What is the missing term in the pattern
    9·2 answers
  • 1/2 pound : 5 days find the unit rate
    11·2 answers
  • 50 points and BRAINLIST
    14·2 answers
  • What should the first step be when solving for x?<br>-5x+6(-2x-13)=7​
    13·2 answers
  • What is the total bill for a $54 dinner with a 5% sales tax and a 20% tip? (Total bill is the dinner cost plus the sales tax and
    5·1 answer
  • I’m confused could someone help pls? Thank u and I will mark branliest as-well :)
    6·1 answer
  • HELP ME OUT!!!!
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!