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3 years ago

Is ab perpendicular to cd A(0,2) B(-3,-3) C(-4,1)D(0,-2)

1 answer:

6 0

Find the slopes of the 2 line segments and see if they are negative reciprocals then the lines are perpendicular.
AB slope is -3-2/-3-0= -5/-3=5/3
CD slope is -2-1/0- -4=-3/4

The lines are not perpendicular

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Evaluate the expression. [(8 x 7) – 2): 9

frozen [14]

Answer:

☑ Answer is 6

Step-by-step explanation:

${ \tt{ \{(8 \times 7) - 2 \} : 9}} \\ = { \tt{(56 - 2) :9 }} \\ = { \tt{54 :9 }}$

» But this is a ratio, so it can be expressed in terms of fractions:

$= { \tt{ \frac{54}{9} }} \\$

» Divide both the denominator and numerator by 9:

${ \tt{ = \frac{54 \div 9}{9 \div 9} }} \\ \\ = { \tt{ \frac{6}{1} }} \\ \\ = 6$

6 0

2 years ago

Find the perimeter of a triangle with vertices A(2,5) B(2,-2) C(5,-2). Round your answer to the nearest tenth and show your work

valina [46]

Answer:

Step-by-step explanation:

Question

Find the perimeter of a triangle with vertices A(2,5) B(2,-2) C(5,-2). Round your answer to the nearest tenth and show your work.

perimeter of a triangle = AB+AC+BC

Using the distance formula

AB = sqrt(-2-5)²+(2-2)²

AB = sqrt(-7)²

AB =sqrt(49)

AB =7

BC = sqrt(-2+2)²+(2-5)²

BC = sqrt(0+3²)

BC =sqrt(9)

BC =3

AC= sqrt(-2-5)²+(2-5)²

AC= sqrt(-7)²+3²

AC =sqrt(49+9)

AC =sqrt58

Perimeter = 10+sqrt58

5 0

2 years ago

Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 7.8 parts

Alexxandr [17]

Answer:

The value of the test statistic is $t = 2.67$

Step-by-step explanation:

The null hypothesis is:

$H_{0} = 7.8$

The alternate hypotesis is:

$H_{1} \neq 7.8$

Our test statistic is:

$t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

In this problem, we have that:

$X = 8.2, \mu = 7.8, \sigma = 0.6, n = 16$

Then

$t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$t = \frac{8.2 - 7.8}{\frac{0.6}{\sqrt{16}}}$

$t = 2.67$

The value of the test statistic is $t = 2.67$

5 0

3 years ago

Choose the inequality below that x=0 is a solution to.

krok68 [10]

remember: a filled dot means it includes that point and an empty dot means it doesn't

A. has empty dot at 0 so x=0 is not incuded in the solution

B. has filled dot at x=0 so x=0 is a solution

C. has empty dot at 0 so x=0 is not incuded in the solution

D. the line doesn't even go over x=0 so not a solution

answer is B

8 0

3 years ago

Please answer this fast thank uuu :)

Serga [27]

Answer:

x + 37 = 90

Step-by-step explanation:

Since complementary angles add up to 90 degrees, we would need to add 37 and x to equal 90 degrees. Therefore, x + 37 equals 90 degrees. As for solving, subtract 37 from both sides and you are left with x = 53.

5 0

3 years ago