Answer:
A dilation is a change in size of a shape
Step-by-step explanation:
to do a dilation you keep the angle measure of the angles of the shape the same while multiplying the length of the sides by the scale factor
The Solution:
Given:
Each withdrawal by Brandon = $x
ATM charge per transaction = $2
Required:
To find an expression for Brandon's total withdrawal if he withdraws the same amount once a week for 7 weeks.
Step 1:
We shall find the total amount of each withdrawal, that is, the sum of the amount withdrawn and the ATM charge for the transaction.
Step 2:
Finding the required total amount, we have:
Therefore, the correct answers are: [options 2, 3, and 4]
Answer:
6.
Step-by-step explanation:
x/7 - 3/8 = 27/56
Multiply through by 56 , as 7 * 8 = 56 we have:
8x - 3*7 = 27
8x = 27 + 21 = 48
x = 6.
Answer:
The owner will have to pay $ 125 after 2 hours.
Step-by-step explanation:
Given that the line graph shows the amount of water loss in a leaking tank during 7 hours, and the owner pays $ 1 for every 8 liters of water lost, to determine how much will he have to pay after 2 hours the following calculation must be performed :
((6000 - 5000) / 8) x 1 = X
(1000/8) x 1 = X
125 x 1 = X
125 = X
Therefore, the owner will have to pay $ 125 after 2 hours.
We know that m ║ n.
Let's first find the value 'x'.
When two lines are parallel, and a transversal is drawn, the angles on the same side of the transversal are equivalent.
This means that (5x + 16)° and (7x + 4)° are equivalent.
Equating them,
5x + 16 = 7x + 4
16 - 4 = 7x - 5x
12 = 2x
x = 12/2
x = 6°
Since we know the value of 'x', let's substitute them into the angles and find out the actual measurements.
5x + 16 = 5 × 6 + 16 = 30 + 16 = 46°.
7x + 4 = 7 × 6 + 4 = 42 + 4 = 46°.
Now let's find the value of 'y'.
If you observe carefully, (7x + 4)° and (y + 6)° form a linear pair.
This means that both those angles should add upto 180°.
Using that theory, the following equation can be framed:
(y + 6)°+ (7x + 4)° = 180°
Since we know the actual value of (7x + 4)°, let's substitute that value and move ahead.
(y + 6)° + 46° = 180°
y + 6 + 46° = 180
y + 52° = 180°
y = 180° - 52°
y = 128°
Therefore, the values of 'x' and 'y' are 46° and 128° respectively.
Hope it helps. :)
