Answer:
60 & 55
Step-by-step explanation:
1. the sum of the angles 1; 2 and 3 is 180°, then
m∠1=m∠2=m∠3; ⇒m∠3=60°;
2. m∠3=m∠r; ⇒ m∠r=60°;
3. m∠α= 180-(m∠r+65°)°; ⇒ m∠α=55°
all the details are in the picture.
Answer:
The x-coordinates are translated 6 units to the left or right while the y-coordinates are not affected.
Step-by-step explanation:
The given triangle has vertices at A(-4,1), B(-2,1) and C(-2,4)
The transformation rule for a horizontal translation by k units is
In this case we have k=6
Therefore the x-coordinates are translated 6 units to the left or right while the y-coordinates are not affected.
See attachment
Answer:
1.) Amount of potting soil purchased last week.
2) 2p + 4 = 28
3.) 12 lbs
Step-by-step explanation:
1.) The unknown information is what we intend to find out using the information given, which is the amount of potting soil Emmanuel bought last week.
2.)
Let amount of potting soil bought last week = p
Amount bought this week = 2p + 4
Since amount bought this week = 28
Hence, we have ;
28 = 2p + 4
28 - 4 = 2p
24 = 2p
p = 24 / 2
p = 12
an isosceles triangle is a triangle with two twin sides, and therefore two twin angles.
if one angle is 98°, well, we can't have another 98° angle because that makes 98+98 = 196°, and the sum of all interior angles in a triangle cannot be more than 180°.
so the other remaining angles must be the twin smaller angles, namely 180 - 98 = 82, and each twin takes half of that, namely 41°.
Check the picture below.
Sammy calculated the total amount that he deposited by <em>adding up the total amount deposited in each account.</em>
- The Checking account is used to pay for fixed and variable essential expenses. In this account, Sammy deposited $1,712.
- The Cash account is used for non-essential expenses, like snacks, etc. A total of $260 was deposited into this account.
- The Emergency Savings account is used for both other predictable and unpredictable expenses. A total of $340 was deposited into the account.
- For the Vacation Savings account, it is used to carter for other long-term expenses. A total of $50 was deposited into the account.
- When these accounts are added up, the total deposit made by Sammy can be calculated to be $2,362 ($1,712 + $260 + $340 + $50).
Data and Calculations:
Accounts Checking Cash Account Emergency Vacations
Savings Savings
Expenses:
Essential (fixed) $1,292
Essential (variable) 420
Non-essential $260
Other predictable $130
Other (unpredictable) 210
Other (long-term) $50
Total $1,712 $260 $340 $50
Thus, Sammy calculated the total amount that he deposited by adding up the total deposit in each account.
Link for related question:
brainly.com/question/22429629
