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tamaranim1 [39]
3 years ago
14

Are the two triangles similar?

Mathematics
1 answer:
Tpy6a [65]3 years ago
4 0

Answer:

Option B Yes by AAA

Step-by-step explanation:

we know that

If the two triangles are similar, then the ratio of its corresponding sides is equal and its corresponding angles are congruent

so

\frac{HM}{MK}=\frac{GM}{MJ}

substitute the values and verify

\frac{8}{12}=\frac{6}{9}

simplify

\frac{2}{3}=\frac{2}{3} -------> is true

therefore

The triangles are similar by AAA------> the three angles are congruent

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ehidna [41]
No, it is an irrational number. It repeats

No, it is an irrational number because it does not terminate/end
4 0
3 years ago
Hey! Can someone check my answers?
Andrew [12]
The greatest common factor is the biggest number taken from the values.

Q1. The answer is <span>A. 5y^6
</span>
20 y^{9} +5 y^{6}= 4*5 y^{9}+5 y^{6}
Since x^{a}* x^{b}  =x^{a+b}, then x^{9}= x^{3}* x^{6}

Back to our expression:
4*5 y^{9}+5 y^{6}=4*5 y^{3}*y^{6}+5 y^{6}=4 y^{3}*5y ^{6}+  5y ^{6}*1=5 y^{6} (4y ^{3} +1)
The greatest common factor is thus 5 y^{6}


Q2. The answer is <span>D. 12xy^2
</span>
12x y^{5}+60 x^{4} y^{2} -24 x^{3} y^{3}=12x y^{5}+5*12 x^{4} y^{2} -2*12 x^{3} y^{3}
We will use the rule  x^{a}* x^{b} =x^{a+b} to factorise the exponents:
12x y^{5}+5*12 x^{4} y^{2} -2*12 x^{3} y^{3}= \\ =12x*y^{2}*y^{3}+5*12*x* x^{3} *y^{2}-2*12x* x^{2} *y*y^{2}= \\ =12xy^{2}*y^{3}+12xy^{2}*5 x^{3} -12xy^{2}*2 x^{2} y= \\ =12xy^{2}(y^{3}+5 x^{3}-2 x^{2} y)
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3 0
3 years ago
A single tree produces about 2.6 × 10² lb of oxygen each year. The Amazon rainforest has about 3.9 X 10^11 trees.
Ymorist [56]
(2.6\times10^2) \times (3.9\times10^{11}) = 1.014\times10^{14}

1.014\times10^{14} <---How much is produced by all the trees in a year. 
They want how much each day so divide by 365


\frac{1.014\times10^{14}}{365} = 2.77808\times10^{11}
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6 0
3 years ago
Read 2 more answers
I need a little help here please
erma4kov [3.2K]

Answer:

Plot points at (0,1) and (-3,3) and draw a line going through both points.

Step-by-step explanation:

Let's start by graphing the y intercept.

y=mx+b

m is the slope. b is the y intercept. Since the equation is y=-2/3x+1, we can conclude the y intercept is 1. We graph a point at (0,1).

If you didn't know the y intercept is where the line intercepts the y-axis.

Now, from the point (0,1) we go up 2 and to the left 3 as it is a negative slope. We reach (-3,3). Plot a point there. Then draw a line going through both points. There's your line!

3 0
2 years ago
Two identical blue boxes together weigh the same as three identical red boxes together. Each red box weighs 15.2 ounces. How muc
Westkost [7]

Answer:

Each blue box weighs 22.8 ounces

Step-by-step explanation:

8 0
3 years ago
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