(6x-1)+20+(x+14)=180
6x-1+20+x+14=180
6x+x+20+14-1=180
7x+33=180
-33 -33
7x=147
7/7x=147/7
x=21
Measure of angle A=:
(6x-1)
6x-1
6(21)-1
126-1
125
Measure of angle A is 125°
Measure of angle C=
(x+14)
x+14
21+14
35
Measure of angle C is 35°
The measure of angle 3 from the figure is 110 degrees
<h3>Lines and angles</h3>
An angle is the intersection between two lines. From the given figure, we have the following parameters
m∠1= 40°,
m∠2= 70°.
Required
Measure of angle 3
The sum of the interior angles of the triangle is equal to the exterior
Sum of interior = <1 + <2
Sum of interior = 40 + 70
Sum of interior =110 degrees
Hence the measure of angle 3 from the figure is 110 degrees
Learn more on lines and angles here: brainly.com/question/25770607
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Answer:
Step-by-step explanation:
Given data
Total units = 250
Current occupants = 223
Rent per unit = 892 slips of Gold-Pressed latinum
Current rent = 892 x 223 =198,916 slips of Gold-Pressed latinum
After increase in the rent, then the rent function becomes
Let us conside 'y' is increased in amount of rent
Then occupants left will be [223 - y]
Rent = [892 + 2y][223 - y] = R[y]
To maximize rent =

Since 'y' comes in negative, the owner must decrease his rent to maximixe profit.
Since there are only 250 units available;
![y=-250+223=-27\\\\maximum \,profit =[892+2(-27)][223+27]\\=838 * 250\\=838\,for\,250\,units](https://tex.z-dn.net/?f=y%3D-250%2B223%3D-27%5C%5C%5C%5Cmaximum%20%5C%2Cprofit%20%3D%5B892%2B2%28-27%29%5D%5B223%2B27%5D%5C%5C%3D838%20%2A%20250%5C%5C%3D838%5C%2Cfor%5C%2C250%5C%2Cunits)
Optimal rent - 838 slips of Gold-Pressed latinum
Answer: 5
Step-by-step explanation:
If the sides of A is (8,4) and the coordinates of D is (8-1), the same value in both coordinates are 8 and the different values are 4 (A) and -1 (D). We will take the absolute values (AV) of both when added: |4 + -1|.
The answer will be<u><em> 5 grids</em></u> (or whatever measurements the question uses).
Answer:
x + 4
Step-by-step explanation:
Noah's age = x
Jacob's age = x – 3
In seven years,
Jacob's age = x – 3 + 7
Jacob's age = x + 4