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3 years ago

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

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

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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3 years ago

HELP!! I NEED THIS QUICKLY

Elza [17]

Answer:

A and D

Step-by-step explanation:

We are given that

(3/4,2/3),(1/4,1),(1,1/2) and (1/2,1)

$x_1=\frac{3}{4}$

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$x_3=1,y_3=\frac{1}{2}$

$x_4=\frac{1}{2},y_4=1$

k= $\frac{1}{2}$

Direct proportion:

$\frac{x}{y}=k$

Inverse proportion: $xy=k$

$\frac{x_1}{y_1}=\frac{3}{4}\times \frac{3}{2}=\frac{9}{8}\neq \frac{1}{2}$

Therefore, it is not in direct proportion.

$\frac{1}{4\times 2}=\frac{1}{8}\neq\frac{1}{2}$

$\frac{1}{\frac{1}{2}}=2\neq \frac{1}{2}$

$x_1y_1=\frac{3}{4}\times \frac{2}{3}=\frac{1}{2}$

$x_2y_2=\frac{1}{4}\times 2=\frac{1}{2}$

$x_3y_3=1\times \frac{1}{2}=\frac{1}{2}$

$x_4y_4=\frac{1}{2}\times 1=\frac{1}{2}$

Therefore, $xy=k=\frac{1}{2}$

Hence, the given points form an inverse variation .

$xy=\frac{1}{2}$

$y=\frac{1}{2x}$

Option A and D is true.

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2 years ago

Please just answer this and explain how to solve...i’m not grasping the work :/

OverLord2011 [107]

$\bf Step-by-step~explanation:$

We are given that BA is perpendicular to BD, so that must mean that m∠ABD is a right angle, or 90º. This means: (8x - 10) + (4x + 52) = 90º, since both of the angles add up to become a right angle. We have to solve for x in order to find m∠CBD.

PART 1

$\bf Step~1:$

Equation: (8x - 10) + (4x + 52) = 90

Let's add the like values together first.

$\bf 8x+4x=12x\\-10+52 = 42$

$\bf 12x+42=90$

$\bf Step~2:$

Let's subtract 42 from both sides of the equation to isolate the variable we are solving for, x. Our goal is to isolate it completely to get a value that is equal to x.

$\bf12x+42(-42)=90(=42)\\12x=48$