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2 years ago

5(r-1)=2(6r-4) What is the answer

Mathematics

1 answer:

nata0808 [166]2 years ago

4 0

-7
distribute the 5to the r and -1 and on the other side the 2 to the 6r and the -4
then simplify

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Ivan used coordinate geometry to prove that quadrilateral EFGH is a square.

Gelneren [198K]

Answer:

(A)Segment EF, segment FG, segment GH, and segment EH are congruent

Step-by-step explanation:

Step 1

Quadrilateral EFGH with points E(-2,3), F(1,6), G(4,3), H(1,0)

Step 2

Using the distance formula

$Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Given E(-2,3), F(1,6)

$|EF|=\sqrt{(6-3)^2+(1-(-2))^2}=\sqrt{3^2+3^2}=\sqrt{18}=3\sqrt{2}$

Given F(1,6), G(4,3)

$|FG|=\sqrt{(3-6)^2+(4-1)^2}=\sqrt{3^2+3^2}=\sqrt{18}=3\sqrt{2}$

Given G(4,3), H(1,0)

$|GH|=\sqrt{(0-3)^2+(1-4)^2}=\sqrt{(-3)^2+(-3)^2}=\sqrt{18}=3\sqrt{2}$

Given E (−2, 3), H (1, 0)

$|EH|=\sqrt{(0-3)^2+(1-(-2))^2}=\sqrt{(-3)^2+(3)^2}=\sqrt{18}=3\sqrt{2}$

Step 3

Segment EF ,E (−2, 3), F (1, 6)

Slope of |EF|= $\frac{6-3}{1+2} =\frac{3}{3}=1$

Segment GH, G (4, 3), H (1, 0)

Slope of |GH| $= \frac{0-3}{1-4} =\frac{-3}{-3}=1$

Step 4

Segment EH, E(−2, 3), H (1, 0)

Slope of |EH| $= \frac{0-3}{1+2} =\frac{-3}{3}=-1$

Segment FG, F (1, 6,) G (4, 3)

Slope of |EH| $=\frac{3-6}{4-1} =\frac{-3}{3}=-1$

Step 5

Segment EF and segment GH are perpendicular to segment FG.

The slope of segment EF and segment GH is 1. The slope of segment FG is −1.

Step 6

Segment EF, segment FG, segment GH, and segment EH are congruent.

The slope of segment FG and segment EH is −1. The slope of segment GH is 1.

Step 7

All sides are congruent, opposite sides are parallel, and adjacent sides are perpendicular. Quadrilateral EFGH is a square

4 0

3 years ago

Read 2 more answers

Helpdisdalastquestio

Elis [28]

3 times 96 = 288
3 times 204 = 612
612-288=324
which is approximately $300

5 0

2 years ago

Read 2 more answers

PLEASE PLEASE HELP!!! WILL GIVE BRAINLIEST

STALIN [3.7K]

Answer:

a. this b>9 B. the first one C. the second one

Step-by-step explanation:

D is the first one

4 0

2 years ago

NEED HELP ASAP solve for x : 3/5 = x-1/8 a.5 b.29/5 c.23/5 d.19/5

Levart [38]

Answer:

<h3> $\boxed{ \sf{ \bold{ \huge{ \boxed{ \frac{29}{5} }}}}}$ </h3>

Option B is the correct option.

Step-by-step explanation:

$\sf{ \frac{3}{5} = \frac{x - 1}{8} }$

Apply cross product property

⇒ $\sf{ 5(x - 1) = 3 \times 8}$

Distribute 5 through the parentheses

⇒ $\sf{5x - 5 = 3 \times 8}$

Multiply the numbers

⇒ $\sf{5x - 5 = 24}$

Move 5 to right hand side and change it's sign

⇒ $\sf{5x = 24 + 5}$

Add the numbers

⇒ $\sf{5x = 29}$

Divide both sides of the equation by 5

⇒ $\sf{ \frac{5x}{5} = \frac{29}{5} }$

⇒ $\sf{x = \frac{29}{5} }$

Hope I helped!

Best regards!!

8 0

2 years ago

A grocery stores studies how long it takes customers to get through the speed check lane. They assume that if it takes more than

Reptile [31]

The probability that a randomly selected customer takes more than 10 minutes will be 8.38%

Explanation

The average or mean $(\mu)$ is 8.56 minutes and standard deviation $(\sigma)$ is 1.04 minutes.

Formula for finding the z-score is: $z= \frac{X-\mu}{\sigma}$

So, the z-score for $X=$ 10 minutes will be.....

$z(X=10)=\frac{10-8.56}{1.04}=\frac{1.44}{1.04}=1.3846... \approx 1.38$

Now, according to the standard normal distribution table, $P(z$ . So.....

$P(X>10)=P(z>1.38)= 1-P(z$

So, the probability that a randomly selected customer takes more than 10 minutes will be 8.38%

3 0

2 years ago