we conclude that the measures of the 4 angles are:
- MNO = 38°
- PNQ = 88°
- QNO = 142°
- PNM = 92°
<h3>
How to find the measures of each angle in the image?</h3>
First, we can see that:
MNO = 38°
PNQ = 88°
Now, notice that the angles:
PNQ and PNM are supplementary, this means that the addition of thes two angles must be equal to 180°.
Then we will have:
PNQ + PNM = 180°
88° + PNM = 180°
PNM = 180° - 88° = 92°
And we also can see that:
MNO and QNO are supplementary, then:
MNO + QNO = 180°
38° + QNO = 180°
QNO = 180° - 38° = 142°
Then we conclude that the measures of the 4 angles are:
- MNO = 38°
- PNQ = 88°
- QNO = 142°
- PNM = 92°
If you want to learn more about supplementary angles:
brainly.com/question/2046046
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Perimeter of a rhombus = 4s
where s is the side lengths.
Now, plug 50ft for s:
P = 4(50)
P = 200ft
Answer:
is the required simplification.
Step-by-step explanation:
Here, the given expression is (6x−4)(3x−1).
By DISTRIBUTIVE PROPERTY of numbers:
A ( B + C ) = AB + AC
Simplifying the given expression, we get:
![(6x-4)(3x-1) = 6x(3x-1)-4(3x-1)\\= 6x(3x) -1(6x) -4(3x) +4\\=18x^2 - 6x - 12x + 4\\18x^2 - 18x + 4](https://tex.z-dn.net/?f=%286x-4%29%283x-1%29%20%3D%206x%283x-1%29-4%283x-1%29%5C%5C%3D%206x%283x%29%20%20-1%286x%29%20%20-4%283x%29%20%20%2B4%5C%5C%3D18x%5E2%20%20-%206x%20-%2012x%20%2B%204%5C%5C18x%5E2%20%20-%2018x%20%2B%204)
or, ![(6x-4)(3x-1) = 18x^2 - 18x + 4](https://tex.z-dn.net/?f=%286x-4%29%283x-1%29%20%20%3D%2018x%5E2%20%20-%2018x%20%2B%204)
Hence the given expression is simplified.
In this case, we'll have to carry out several steps to find the solution.
Step 01:
data:
7x
Step 02:
We must analyze the equation to find the solution.
x = 29:
7 (29) = 203
The answer is:
203
On the first day the cost is $20
Over the next 5 days the price decreased by 2
So, day 1- $20
Day 2- $18
Day 3- $16
Day 4- $14
Day 5- $12
Day 6- $10
We'll then add them all to find the total over 6 days
$20+$18+$16+$14+$12+$10= $90
Over all six days, the total price is $90