Answer:
m = 116
x = 24
y = 76
z = 40
Step-by-step explanation:
For startes the interior angles of triangles always add up to 180 degrees.
That means....
73 + 83 + x = 180
z + m + x = 180
z + y + 64 = 180
Another important fact is that two angles that are intersected by a line in the case 64 and m always add up to 180 degrees.
So m + 64 = 180
Let's start with 73 + 83 + x = 180
If you add 73 and 83 you get 156
x + 156 = 180 then subtract 156 from both sides and
x = 24
Then use m + 64 = 180 subtract 64 from both sides and
m = 116
z + m + x = 180 become
z + 116 + 24 = 180
Add 116 and 24 and you get 140
z + 140 = 180 subtract 140 from both sides and
z = 40
Check to make sure m + x + z = 180
24 + 40 + 116 = 180
z + y + 64 = 180 becomes
y + 40 + 64 = 180
40 + 64 = 104 so
y + 104 = 180 subtract 104 from both sides and
y = 76
Congratulations you have found all of the angles!
Simplify the following polynomial expression:
(5x^4 - 9x^3 + 7x -1) + ( -8x^4 + 4x^2 - 3x + 2) - ( -4x^3 + 5x -1) (2x - 7)
Lets Simplify Your Equation, Step by Step:
(5x^4 - 9x^3 + 7x -1) + ( -8x^4 + 4x^2 - 3x + 2) - ( -4x^3 + 5x -1) (2x - 7)
Solution: ===> 5x^4 − 37x^3 − 6x^2 + 41x − 6 = 0
Distribute:
= 5x^4 + -9x^3 +7x + −1 + −8x^4 + 4x^2 + −3x + 2 + 8x^4 + −28x^3 + −10x^2 + 37x + −7
Combine Like Terms:
= 5x^4 + −9x^3 +7x + −1 + −8x^4 + 4x^2 + −3x + 2 + 8x^4 + −28x^3 + −10x^2 + 37x + −7
= (5x^4 + −8x^4 +8x^4) + (−9x^3 + −28x^3) +(4x^2+ −10x^2) +(7x + −3x + 37x)+(−1 + 2 + −7)
= 5x^4 + −37x^3 + −6x^2 + 41x + − 6
Hence, Answer:
= 5x^4 −37x^3 −6x^2 + 41x − 6 = 0
Hope that helps!!!! : )
Answer:
The answers are 20% and 40%
Step-by-step explanation:
Cost price is $240,000
The percentage of $48000 will be
(48000/240000) × 100
= 20%
The percentage of $96000 will be
(96000/240000) ×100
= 40%
Answer:
Step-by-step explanation:
-34 nickles is = 1.70
34 quarter is = 8.50
1.70 plus 8.50 plus 4.90 = 15.1 i think
I graphed the given points and based on my graph.
<span>
x
y </span>→ EXPONENTIAL<span><span>
</span>
<span>
-2
21
</span><span> 1 4
</span><span> 0 1
</span><span> 1 0
</span></span><span>
x y </span>→ LINEAR<span><span>
</span>
<span>
-2 6
</span>
<span>
-1
-2
</span><span> 0 2
</span><span> 1
6
</span></span>
<span>
x y </span>→ QUADRATIC<span><span>
</span>
<span>
-2
12
</span>
<span>
-1
-2
</span><span> 0
-8
</span><span> 1
-6
</span></span><span>
<span><span>
x
y </span></span></span>→ EXPONENTIAL<span><span><span>
</span>
<span>
-2
16
</span>
<span>
-1 8
</span><span> 0 4
</span><span> 1 2
LINEAR FUNCTIONS always maintain a constant slope. In the above linear function, the slope is 4.
EXPONENTIAL and QUADRATIC FUNCTIONS have different slope in every point.
Exponential functions can be identified by the immediate increase or decrease in the value of y resulting to a minimal increase or decrease in the value of x.
Quadratic functions can be identified as such due to the similar points it has after having the vertex.
</span></span></span>