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3 years ago

The measures of two angles of pairs of triangles are given. Which pairs of triangles are similar?

Mathematics

2 answers:

nasty-shy [4]3 years ago

8 0

Answer:

1, 2, and 5 are similar

Step-by-step explanation:

morpeh [17]3 years ago

6 0

If the triangles are similar then the angles in both are equal. Let's look at each set individually:

(1) Triangle 1: 25°, 35°
Triangle 2: 25°, 120°
Now it may be hard to tell if the triangles are similar at the moment so we must calculate the third angle in each triangle (The angles in a triangle add up to 180°, therefor the missing angle = 180 - (given angle 1 + given angle 2)
Triangle 1: 180 - (25 + 35) = 120°
Triangle 2: 180 - (25 + 120) = 35°

Now writing out the set of angles again we have:
Triangle 1: 25°, 35°, 120°
Triangle 2: 25°, 120°, 35°

So in fact Triangle 1 and 2 are similar.

Now we can repeat this process for (2) - (5):

(2) Triangle 1: 100°, 60°, 20°
Triangle 2: 100°, 20°, 60°
This pair is also similar

(3) Triangle 1: 90°, 45°, 45°
Triangle 2: 45°, 40°, 95°
This pair is not similar

(4) Triangle 1: 37°, 63°, 80°
Triangle 2: 63°, 107°, 10°
This pair is not similar

(5) Triangle 1: 90°, 20°, 70°
Triangle 2: 20°, 90°, 70°
This pair is similar

Therefor pairs (1), (2) and (5) are similar

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While walking in her neighborhood, Ashley found 3 dimes and 4 pennies on the ground. What percent of a dollar did Ashley find?

faltersainse [42]

Answer:

34%

Step-by-step explanation:

Dime = 10 cents, 10% of a dollar

Penny = 1 cent, 1% of a dollar

3 dimes = 30% of a dollar

4 pennies = 4% of a dollar

30% + 4% = 34%

3 0

3 years ago

When you have a multiplication problem, what do you do to the exponents?

Keith_Richards [23]

Answer:

When you multiply two numbers or variables with the same base, you simply add the exponents. When you multiply expressions with the same exponent but different bases, you multiply the bases and use the same exponent.

Step-by-step explanation:

3 0

3 years ago

PLEASE HELP!!! I WILL GIVE BRAINY!!!

11111nata11111 [884]

The first one is 4/3

We can solve by,

${x}^{2} \times 180 = 320$

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

${ \frac{4}{3} }^{2} \times 180 = 320 = true$

~~

The second one is 35.

Idk how to explain...

~~

The third one is a 6 - gon therefore cannot be C or D.

I'd say the third one is A., it looks like it's caving in.

4 0

2 years ago

Read 2 more answers

Suppose xy > 0. Describe the points whose coordinates are solutions to the inequality.

Elan Coil [88]

The solutions fo the inequality are all the points (x, y) that meet these 3 conditions.

x ≠ 0
y ≠ 0
Sign(x) =sign(y)

<h3>Which points are solutions of the inequality?</h3>

We want to find points of the form (x, y) that are solutions of the inequality:

x*y > 0

Clearly x and y must be different than zero.

So, for example if x = -1, y can be any negative number, for example y= -3

x*y > 0

(-1)*(-3) > 0

3 > 0

This is true.

Now if x = 1, y must be positive. LEt's take y = 103, then:

x*y > 0

1*103 > 0

103 > 0

Then we have 3 conditions:

x ≠ 0
y ≠ 0
Sign(x) =sign(y)

The solutions fo the inequality are all the points (x, y) that meet these 3 conditions.

If you want to learn more about inequalities:

brainly.com/question/25275758

#SPJ1

4 0

2 years ago

Please assist me with these problems

Vinil7 [7]

Part (a)

<h3>Answer: y1 and y3 are perpendicular</h3>

This is because the two slopes 2 and -1/2 multiply to -1. Perpendicular slopes multiply to -1 assuming neither line is vertical or horizontal.

=====================================================

Part (b)

Graph each line to see where they cross. The three points of intersection are

(0,4)

(2,-2)

(4,2)

The order of the points doesn't matter.

You could also form three systems of equations pairing up the equations, and solving each system. That way you can find the points of intersection. Graphing may be a better and faster route in my opinion. See the diagram below.

3 0

3 years ago

Read 2 more answers