Which sequence of transformations map rectangle A to rectangle B ?

V125BC [204]

Answer:

option a

Explanation:

AD and DE are perpendicular lines, meaning they are at a 90° angle. likewise, AD and AB are also perpendicular lines. this means that there are 90° angles at ∠ADE and ∠DAB.

since both DE and AB are perpendicular to the same line and are positioned at the same angle away from it, they are parallel lines.

i hope this helps! :D

8 0

2 years ago

How many solutions does the equation 5x + 1 = −5x + 10 have?

storchak [24]

Answer:

9/10 (one solution)

Step-by-step explanation:

6 0

3 years ago

Your sock drawer has two white socks, four brown socks, and two black socks. You randomly pick a sock and put it on your left fo

zmey [24]

Answer:

The probability of this occurring is 1/7

Step-by-step explanation:

Okay, here is a probability question.

From the question, we can identify the following;

Total number of socks = 2 + 4 + 2 = 8 socks

Since we are not given the order in which the socks was worn, we can assume any order.

Let’s say the right leg socks was worn first.

From the question, the socks on the right leg is a brown one.

So now let’s calculate the probability of selecting a brown socks out of the mix

That would be ;

number of brown socks/ total number of socks = 4/8 = 1/2

Now, for the left foot, we are having white sock here.

Kindly recall that since we already have a sock on the right foot, we have 7 socks left to pick from.

Now we need the probability of picking a white sock from the total 7. That would be ; 2/7

So the probability of both action occurring is simply the product of both probabilities and that is ;

1/2 * 2/7 = 1/7

6 0

3 years ago

The main sail of a sailboat has the dimensions shown in the figure at the right. What is the height of the main sail?

levacccp [35]

Answer:

$h = 16.1$

Step-by-step explanation:

$sin A /a = sin B / b = sin C/c$ where A is angle and a is side opposite of angle

$sin (49) / h = sin(41)/ 14$ cross-multiply

$h*sin(41) = 14 * sin(49)$

$h = (14*sin(49))/ sin(41)$

$h = 16.1$

5 0

2 years ago

7500 dollars is placed in an account with an annual interest rate of 7.75%. To the nearest year, how long will it take for the a

MakcuM [25]

Answer:

It will take 55 years for the account value to reach 38200 dollars

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

$E = P*I*t$

In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

$T = E + P$ .

In this problem, we ahve that:

$T = 38200, P = 7500, I = 0.075$

So

First we find how much we have to earn in interest.

$38200 = E + 7500$ .

$E = 38200 - 7500$

$E = 30700$

How much time to earn this interest?

$E = P*I*t$

$30700 = 7500*0.075*t$

$t = \frac{30700}{7500*0.075}$

$t = 54.6$

Rounding up

It will take 55 years for the account value to reach 38200 dollars

5 0

3 years ago

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