Answer:
m∠C = 26°
m∠D = 108°
m∠E = 46°
Step-by-step explanation:
Set up the equation adding the expressions together to equal 180 (sum of all angles in a triangle)
(2x) + (x+3) + (5x-7) = 180
Remove the parentheses
2x + x+ 3 + 5x - 7 = 180
Add like terms
8x - 3 -7 = 8x -4 = 180
8x - 4 = 180
Add 4 on each side to cancel it out on the right
8x - 4 = 180
+4 = +4
8x = 184
Divide each side by 8 to get the variable by itself
8/8 =1 184/8 = 23
x = 23
Substitute x in eac expression
2x = 2(23) = 46°
x + 3 = 23 + 3 = 26°
5x - 7 = 5(23) - 7 = 115 -7 = 108
Chek it by adding all the degrees to make sure it equals 180
46 + 26 + 108 = 72 + 108 = 180
Answer:
The slope is $0.35/min and it gives the cost per minute of the phone used.
Step-by-step explanation:
We can model this situation with a linear equation of the form
where 
is monthly cost, 
is the number of minutes, 
is the flat monthly fee, and 
is the slope of the equation, or in our case, the amount of money charged per minute.
The slope is
,
in other words, the phone company charges $0.5 per minute.
With the slope in hand, the linear equation becomes
,
and we can find the monthly fee from that fact that for 300 minutes the cost is $131:
.
Therefore,
where the slope if the equation give the cost per minute of the phone used.
A + -5 = -12
A - 5 = -12
A = -7.
This is the solution.
<span>Apprentice B earns $120 because Apprentice A's wage is $4/hour (160 divided by 40), and the question states that they are paid at the same scale. Therefore 4 x 30 = $120.</span>
Given, (9x - 4)(9x + 4) = ax² - b
From algebraic identities:
We know, (a + b)(a - b) = a² - b²
Now, 81x² + 36x - 36x - 16 = ax² - b
81x² - 16 = axis² - b
So ax² = 81x²
a = 81
-b = -16
b = 16
Solution
Therefore, the value of a is 81.
<h2>MyHeritage</h2>
