All categories

3 years ago

Are these two triangles similar? How can you tell?

Mathematics

1 answer:

bogdanovich [222]3 years ago

3 0

Yes, they are similar.

The minimum requirement for similarity is that 2 angles in one triangle are equal to 2 angles in another triangle. If the triangles are congruent it is a pure accident.

You might be interested in

If 3n=3a-6,which inequality below will make n a positive number?

kicyunya [14]

If 3n=3a-6 than the answer is B

6 0

3 years ago

The price of a movie ticket at the theater is $7 for students. The price is higher for adults. A group of 4 students and 3 adult

Marat540 [252]

Given:

Student ticket price = $7

A group of 4 students and 3 adults paid $64 in all for movie tickets.

To find:

Each of the adult ticket cost.

Solution:

Let x be the cost of each adult ticket.

Then, cost of 3 adult tickets = 3x.

Cost of 1 student ticket = $7

Cost of 4 student ticket = $7(4)

According to the question,

$7(4)+3x=64$

$28+3x=64$

$3x=64-28$

$3x=36$

Divide both sides by 3.

$x=12$

Therefore, the cost of each adult ticket is $12.

6 0

3 years ago

Find all zeros of ƒ(x) = 2x^4 – 72x^2. Then determine the multiplicity at each zero. State whether the graph will touch or cross

AleksandrR [38]

Answer: See below

Step-by-step explanation:

To find the factor,

f(x) = 0

$\begin{aligned}&2 x^{4}-72 x^{2}=0 \\&2 x^{2}\left(x^{2}-36\right)=0 \\&x^{2}\left(x^{2}-36\right)=0 \\&x \times x \times(x-6) \times(x+6)=0 \\&\mathrm{x}=0,0,6,-6\end{aligned}$

So,

x = 0 multiplicity 2

x = -6 multiplicity 1

x = 6 multiplicity 1

For an even multiplicty, the graph touches the x-axis, and for an odd multiplicty, the graph crosses the x-axis

Therefore,

x = 0 multiplicty 2, Touch

x = -6 multiplicty 1, Cross

x = 6 multiplicty 1, Cross

7 0

2 years ago

Quadrilateral DEFG has vertices D(−2,4) , E(4,7) , F(10,3) , and G(8,0) .

fredd [130]

A rotation 270° counterclockwise about the origin is the same as rotation 90° clockwise about the origin and has a rule:

(x,y)→(y,-x).

Then:

D(−2,4)→D'(4,2)
E(4,7)→E'(7,-4)
F(10,3)→F'(3,-10)
G(8,0)→G'(0,-8)

Answer: the coordinates of vertices of quadrilateral D′E′F′G′ are D'(4,2), E'(7,-4), F'(3,-10), G'(0,-8).

8 0

3 years ago

Can you plz help me by solving the equation and showing how you got the answer

hoa [83]

Answer:80

Step-by-step explanation: It is 80

5 0

3 years ago

Read 2 more answers