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3 years ago

Which rule explains why these triangles are congruent? (A) ASA (B) AAS (C) SAS (D) These triangles cab not be proven congruent

Mathematics

1 answer:

DerKrebs [107]3 years ago

8 0

Answer:

These triangles cannot be proven congruent.

They are similar but NOT congruent.

Step-by-step explanation:

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Determine whether quadrilateral ABCD with vertices A(–4, –5), B(–3, 0), C(0, 2), and D(5, 1) is a trapezoid.

lisabon 2012 [21]

Answer:

We are given a quadrilateral ABCD with vertices A(–4, –5), B(–3, 0), C(0, 2), and D(5, 1).

Step 1:

We find the slope of side AB.

with vertices A(-4,-5) and B(-3,0)

Hence, the slope of two points (a,b) and (c,d) is calculates as:

$\dfrac{d-b}{c-a}$

So, the slope of AB is:

$\dfrac{0-(-5)}{-3-(-4)}\\\\=\dfrac{5}{-3+4}\\\\=\dfrac{5}{1}=5$

Hence slope AB=5.

Step 2:

Now we have to find the slope of DC.

with vertices D(5,1) and C(0,2)

So, the slope of DC is:

$\dfrac{2-1}{0-5}\\\\=\dfrac{1}{-5}=-\dfrac{1}{5}$

Hence slope AB=-1/5.

Step 3:

slope of BC with vertices B(-3,0) and C(0,2) is:

$\dfrac{2-0}{0-(-3)}\\\\=\dfrac{2}{3}$

Step 4:

slope of AD with vertices A(-4,-5) and D(5,1) is:

$=\dfrac{1-(-5)}{5-(-4)}\\\\=\dfrac{1+5}{5+4}\\\\=\dfrac{6}{9}\\\\=\dfrac{2}{3}$

As we know that parallel sides have same slope.

As slope of BC=AD.

Hence AD is parallel to BC.

and the slope of two opposite sides are not equal hence the two sides are not parallel.

Hence, the given quadrilateral ABCD is a trapezoid. ( since it has a pair of opposite sides which are parallel and a pair of non-parallel opposite sides)

5 0

3 years ago

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11)

Maurinko [17]

Answer:

The factorization of given expression $x^2 + 81$ is (x + 9i)(x – 9i) and option d is correct.

Solution:

Given, expression is $x^2 + 81$

We have to factor it in the complex numbers.

Let us check options to find answer.

A) (x – 9)(x – 9)

(x – 9)( x – 9) $=(x-9)^{2}=x^{2}-18 x+81$

So, this is not correct answer.

B) (x + 9)(x + 9)

$(x+9)(x+9)=(x+9)^{2}=x^{2}+18 x+81$

So, this is not correct answer.

C) (x + 9i)(x + 9i)

$(x+9 i)(x+9 i)=(x+9 i)^{2}=x^{2}+18 x i+81(-1)=x^{2}+18 x i-81$

So, this is not correct answer.

D) (x + 9i)(x - 9i)

$(x+9 i)(x-9 i)=x^{2}-(9 i)^{2}=x^{2}-(-81)=x^{2}+81$

Thus option D is correct

Hence, the factorization of given expression is (x + 9i)(x – 9i). and option d is correct.

3 0

3 years ago

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Akimi4 [234]

Answer:

294 inches squred

Step-by-step explanation:

3 x 10 = 30

3 x 9 = 27

10 x 9 = 90

2(30) + 2(27) + 2(90) = 294

7 0

2 years ago

The electric potential in a circuit is given by

shtirl [24]

We are given with the equationL
V(t) = 320 e^(-3.1t)
At V = 200
200 = 320 e^(-3.1t)
t = 0.15 s

100 = 320 e^(-3.1t)
t = 0.36 s

It takes 0.36 - 0.15 = 0.21 s for the voltage to drop from 200 to 100 volts.

3 0

3 years ago

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Round 514,733 to the nearest thousand

sergij07 [2.7K]

515,000 is the nearest

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3 years ago

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