<h3>Answer:
122 degrees</h3>
==========================================================
Explanation:
Angle BAC can be shortened to "angle A" since the letter A is in the middle.
Angle BCA can be shortened to "angle C" for similar reasoning.
We're told that angles A and C are base angles. For any isosceles triangle, the base angles are congruent
-----------
Let's use this fact to solve for x.
angle A = angle C
7x+1 = 5x+9
7x-5x = 9-1
2x = 8
x = 8/2
x = 4
Once we know what x is, we can find each base angle
- angle A = 7x+1 = 7*4+1 = 28+1 = 29
- angle C = 5x+9 = 5*4+9 = 20+9 = 29
Both angles A and C are 29 degrees each, so this confirms we have the correct x value.
-----------
The last step is to use the fact that all three angles of a triangle add to 180 degrees. This will help us find angle B, which is the vertex angle.
A+B+C = 180
29+B+29 = 180
B+58 = 180
B = 180-58
B = 122
The vertex angle is 122 degrees.
So we can say either angle B = 122, or we could say angle ABC = 122
"angle ABC" is the same as "angle CBA".
Step 1: Add the deposit and checks together
$200
+ $474.85
+ $ 321.15
= $996.00
Step 2: Subtract cash back from the total result found
996.00
- 50.00
= $946.00
The total deposit is $946.00.
Answer:
Step-by-step explanation:
Given sequence is 3n + 3
Plug n = 50
"for each hour that she works over 40hrs in a week" key words "for each hour" in that section of the sentence. so we take 489.85 divide that by 9.7 = 50 and then we divide 489.85 by 5 so that we can get 1/5 of 50, then we take 9.7 times 1.5 = 14.55 and divide that by 97.97
489.85/5 = 97.97/14.55 = 6.73 + 40hrs = 46.73hrs
Not sure why it's a decimal.. but I'm 100% sure that's how you solve it
Suppose the total number of problems be x
this will be given by:
(1/5)x+7+(3/5)x+8=x
Putting like terms together we get:
(1/5x+3/5x)+(7+8)=x
4/5x+15=x
4/5x-x=-15
-1/5x=15
thus
x=75 problems
