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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!

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Jill got 36 out of 40 questions correct on her test. What percent of her test did she get correct?
ale4655 [162]

Answer:

36 percent I think ya

Step-by-step explanation:

I think I should know this

5 0
3 years ago
Read 2 more answers
The area of a parallelogram is 96 cm squared the height is 4 cm less than the length what is
andrey2020 [161]
Area of paralellogram=legnth times height

l=legnth
h=height
area=96

lh=96

h is 4 less than l
h=-4+l
sub
l(-4+l)=96
-4l+l^2=96
minus 96 both sides
l^2-4l-96=0
factor
(l-12)(x+8)=0
set to zero
l-12=0
l=12

l+8=0
l=-8, imossible, legnth cannot be negative, disreagard this soultion

legnth=12cm
8 0
2 years ago
Read 2 more answers
Jerry has $558 to spend on dining room chairs. if each chair costs $58, does he have enough to purchase nine chairs
netineya [11]

Answer:

No because the chairs would have to be the price of $62.00

Step-by-step explanation:

divide 558 by 9

so if the chairs had been 62 dollars then he would have enough

4 0
3 years ago
Find the area of a rectangle that has the length of 2x-3 and the width of x .Someone painted an interior area of the rectangle a
Svet_ta [14]

Answer:

The area that was not painted is (2x^{2}-6x+6)\ units^{2}

Step-by-step explanation:

step 1

Find the area of the rectangle

we know that

The area of a rectangle is equal to

A=LW

In this problem we have

L=2x-3

W=x

substitute

A=(2x-3)x\\A=(2x^{2}-3x)\ units^{2}

step 2

Find the area that was painted

A=(3)(x-2)\\A=(3x-6)\ units^{2}

step 3

Find the area that was not painted

Subtract the area that was painted from the total area of rectangle

so

A=(2x^{2}-3x)-(3x-6)=(2x^{2}-6x+6)\ units^{2}

8 0
3 years ago
See picture below. What is the difference between 4∑n=1 2n+1 and 4∑i=1 (2i+1)?
kondor19780726 [428]

Answer:

3

Step-by-step explanation:

\sum 2n+1= \boxed{\big( \sum_{i=1} ^{4}2n \big) +1}

And,

$ \sum (2i+1)= \sum (2i)+ \sum_{i=1} ^{4} (1) $

$=\sum_{i=1} ^{4}(2i) + 1+1+1+1 $

$=\boxed{\Big(\sum_{n=1} ^{4}(2n)\Big) +4}.... \text{Variable in Summation doesn't matter}$

Hence the difference is 3.

8 0
3 years ago
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