Answer:
<b = 108 degrees
<c = 36 degrees
<d = 36 degrees
Step-by-step explanation:
The sum of angle in a triangle is 180 degrees
Hence <b + <c + <d = 180
13x-35 + 5x - 19 + 2x + 14 = 180
13x+5x+2x-35-19+14 = 180
20x-40 = 180
20x = 180 + 40
20 x = 220
x = 220/20
x = 11
Get <b
<b = 13x-35
<b = 13(11) - 35
<b = 143-35
<b = 108 degrees
Get <c
c =5x-19
<c = 5(11)-19
<c = 55-19
<c = 36degrees
Get <d
<d = 2x+14
<d = 2(11) + 14
<d = 22+14
<d = 36 degrees
Answer:
16 blueberries and 4 strawberries
Step-by-step explanation:
Given:
A bowl contains blueberries and strawberries there are a total of 20 berries in the bowl.
The ratio blueberries to strawberries is 4 to 1
Question asked:
How many of each berry are in the bowl ?
Solution:
Ratio of blueberries and strawberries = 4 : 1
Let ratio be 
Number of blueberries in the bowl = 
Number of strawberries in the bowl = 
As total berries in the bowl are 20 and the bowl contains both blueberries and strawberries in the ratio 4 : 1 :-

Dividing both sides by 5

Number of strawberries in the bowl =
= 4
Number of blueberries in the bowl =
= 
Thus, there are 16 blueberries and 4 strawberries in the bowl.
Answer:
$5.25.
Step-by-step explanation:
That is $7.50 - 30% of 7.50
= 7.50 - 0.30 * 7.50
= $5.25.
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
y + 6 =
(x - 9) ← distribute the parenthesis
y + 6 =
x - 3 ← subtract 6 from both sides
y =
x - 9 ← in slope- intercept form
Answer:
The greatest common factor is 1
Step-by-step explanation:
The factors of 4 are: 1, 2, 4
The factors of 6 are: 1, 2, 3, 6
The factors of 45 are: 1, 3, 5, 9, 15, 45
Then the greatest common factor is 1.