Answer:
∠ E = 56°
Step-by-step explanation:
the external angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ MGF is an exterior angle of the triangle , then
10x + 12 = 5x - 4 + 76
10x + 12 = 5x + 72 ( subtract 5x from both sides )
5x + 12 = 72 ( subtract 12 from both sides )
5x = 60 ( divide both sides by 5 )
x = 12
Then
∠ E = 5x - 4 = 5(12) - 4 = 60 - 4 = 56°
Answer:
$2500 at 8%.
$2900 st 5%.
Step-by-step explanation:
Let x be the amount invested at rate of 8% and y be the amount invested at the rate of 5%.
We have been given that Heather has divided $5400 between two investments. We can represent this information as:
The return on her investment is $345.
Earnings from the investment at 8% will be 8% of x.
Earnings from the investment at 5% will be 5% of y.


We will use substitution method to solve our system of equations. From equation (1) we will get,
Substituting this value in equation (2) we will get,




Therefore, Heather has invested an amount of $2900 at 5%.
Let us substitute y=2900 in equation (1) to solve for x.



Therefore, Heather has invested an amount of $2500 at 8%.
He buyed 240 cards because
20
x
12
-----
40
+
20
-------
240
Answer:
185 shrubs
Step-by-step explanation:
ratio plant : 1% = 5 : 1%
if the percent of shrubs in the garden is 37%, according to my ratio. every 1% is 5 plants, therefore, 37% = 37 x 5 = 185
985431 is your answer may man/Girl no prob attending ya