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Viefleur [7K]
3 years ago
9

Are the following triangles similar? Justify your answer.

Mathematics
1 answer:
Ber [7]3 years ago
7 0

Answer:

Yes they are similar.

There are three similarity criteria for triangles.

The first one (AAA) , your case, says that two triangles are similar if their corresponding angles are equal.

The second one (SAS) says that two triangles are similar if two sides have lengths in the same ratio and the angles that are included in these two sides are equal.

The third one (SSS) says that two triangles are similar of all of their sides have lengths in the same ratio.

About the first criteria, you actually need only two corresponding angles to be the same, because the third will always be the difference between 180° and the two angles.

Remember that you CANNOT exceed 180° for the sum of the three angles of a triangle.

And remember also that similarity involves correspondence in sides and angles. Two triangles, with same angles, but mirrored, are not similar!

You might be interested in
Which step is the same when constructing an inscribed square and an inscribed regular hexagon?
Colt1911 [192]

After the construction of a circle, we have to "Set the compass to the radius of the circle" so, option C is correct.

<h3>What is a regular hexagon?</h3>

A regular hexagon is defined as a closed shape consisting of six equal sides and six equal angles. The sum of the measure of angles of a regular hexagon is 120 degrees.

Steps to create an inscribed hexagon:

1: The structure needs to adjust the box thickness towards that radius.

2: Afterward moves around the outside of the circular path to just produce the 6 vertices of that similar hexagon.

"Set the compass to the radius of the circle" so, option C is correct.

Thus the above answer is correct.

Learn more about inscribed hexagons here:

brainly.com/question/21502832

#SPJ1

6 0
2 years ago
Read 2 more answers
A carpender buys bolts for 1.18 per pound. The carpenter brought 18.5 lb. of bolts. How much did the bolts cost?
riadik2000 [5.3K]
All you have to do is multiply the two numbers together
1.18 x 18.5 = 21.83
4 0
3 years ago
ted wants to buy a skateboard that costs $59.00, but is on sale for 30% off. How much money will he save
STatiana [176]

Answer:

$17.70

Step-by-step explanation:

Hi,

What you want to do is to find 30% of $59

First, you convert 30% into decimal form by dividing it by 100

30%=0.3


Next, you want to find 30% of 59, so what you do is you take the new decimal form and multiply it by 59

0.3×59=17.7


Ted is saving $17.70

6 0
3 years ago
What is the equation in slope-intercept form for the line that passes through the points (–1, 3) and (–2, –3)?
Ede4ka [16]

Answer:

The answer is y = 6x + 9.

-

Step-by-step explanation:

☆Remember: m =  \frac{y_2 - y_1}{x_2 - x_1}

☆Slope-intercept: y = mx + b

---

☆We need to find the slope first. So just plug in according to the slope formula!

m =  \frac{ - 3 - 3}{ - 2 - ( - 1)}  =  \frac{ - 6}{ - 1}  = 6

---

☆Now we need to find the y-intercept. We are going to plug in the slope and a set of coordinates to find the y-intercept.

y = mx + b \\ 3 = 6( -1 ) + b \\ 3 =  - 6 + b \\  \frac{ + 6 =  + 6 \:  \:  \:  \:  \:  \:  \:  \:  \:  \: }{9 = b \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: }

---

☆Now all we need to do is plug in and we are done!

y = 6x + 9

▪Happy To Help <3

5 0
2 years ago
3
Alexus [3.1K]

Answer:

1. 10mn - 35      2. 8rs -2r + 16

Step-by-step explanation:

10mn - 35

8rs -2r + 16

3 0
2 years ago
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