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makvit [3.9K]
3 years ago
10

Are the two triangles below similar??

Mathematics
1 answer:
kodGreya [7K]3 years ago
7 0

Answer:

Yes

Step-by-step explanation:

If you find the value of all the angles, you'll find that both triangles' angles are 50, 35, and 90 degrees.

(all the angles in a triangle add up to 180)

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Chubb early on a snack store and is showing Billy Bob how to make some of the items he sells currently he is showing Billy Bob h
vagabundo [1.1K]
\bf \begin{array}{lccclll}
&\stackrel{lb}{amount}&\stackrel{lb}{price}&\stackrel{total}{price}\\
&------&------&------\\
\textit{plain popcorn}&p&3&3p\\
\textit{caramel popcorn}&c&2.2&2.2c\\
-------&------&------&------\\
mixture&10&2.5&25
\end{array}

so hmm whatever "p" and "c" are, we know that p + c = 10.

and we also know that 3p + 2.2c = 25

thus

\bf \begin{cases}
p+c=10\implies \boxed{c}=10-p\\
3p+2.2c=25\\
----------\\
3p+2.2\left(\boxed{10-p}  \right)=25
\end{cases}
\\\\\\
3p+22-2.2p=25\implies 3p-2.2p=25-22\implies 0.8p=3
\\\\\\
p=\cfrac{3}{0.8}\implies p=\cfrac{15}{4}\implies p=3.75

how much will it be needed for caramel popcorn?  well, c = 10 - p.
4 0
3 years ago
Work out the lengths of b of 17cm and 12cm pythagoras
natima [27]

Answer:

hypotenuse =  \sqrt{ {17}^{2}  +  {12}^{2} }  \\  =  \sqrt{289 + 144 }  \\  =  \sqrt{433}

5 0
3 years ago
How much can 12 go into 14
OleMash [197]
It goes into it  once
4 0
3 years ago
Read 2 more answers
What is the least common multiple of 12 and 10
gtnhenbr [62]

12 = 2*2*3

10 = 5*2

LCM = 5*3*2*2

      = 15*4=60

the least common multiple is 60


4 0
4 years ago
The 3rd term of a geometric sequence is -1/3 and the 8th term is 81. what is the 11th term?
shepuryov [24]

Answer: t_{11}=-2187

Step-by-step explanation:

t_{3}=-1/3

That is :

ar^{2} = -1/3 ................. equation 1

Also

t_{8}=81

that is

ar^{7}=81 ................. equation 2

divide equation 2 by equation 1 , that is

\frac{ar^{7}}{ar^{2}} = 81 / -1/3

r^{5}= 81 x -3/1

r^{5}= -243

find the fifth root of both sides

r = -3

substitute r = -3 , into equation 1 to find a , that is

a(-3^{2})= -1/3

9a = -1/3

multiply through by 3

27a = -1

a =- 1/27

To find the 11th term , the formula for the 11th term is given as :

t_{11}=ar^{10}

t_{11}= -1/27(-3^{10})

t_{11}=-2187

6 0
4 years ago
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