Answer:
![y = 5](https://tex.z-dn.net/?f=%20y%20%3D%205)
Step-by-step explanation:
Given:
An isosceles triangle ABC with AB = AC.
∠A = ![(4y+10)\°](https://tex.z-dn.net/?f=%284y%2B10%29%5C%C2%B0)
∠B = ![75\°](https://tex.z-dn.net/?f=%2075%5C%C2%B0)
∠C = ![(3x)\°](https://tex.z-dn.net/?f=%283x%29%5C%C2%B0)
We know that, for an isosceles triangle, the angles opposite equal sides are also equal to each other.
Therefore, ∠B = ∠C
⇒ ![75 = 3x](https://tex.z-dn.net/?f=75%20%3D%203x)
⇒ ![x=\frac{75}{3}=25](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B75%7D%7B3%7D%3D25)
∴ ∠C =
°
Now, the sum of all the interior angles of a triangle is always 180°.
![\angle A + \angle B + \angle C=180\\(4y+10)+75+75=180\\4y+10+150=180\\4y+160=180\\4y=180-160\\4y=20\\y=\frac{20}{4}=5](https://tex.z-dn.net/?f=%5Cangle%20A%20%2B%20%5Cangle%20B%20%2B%20%5Cangle%20C%3D180%5C%5C%284y%2B10%29%2B75%2B75%3D180%5C%5C4y%2B10%2B150%3D180%5C%5C4y%2B160%3D180%5C%5C4y%3D180-160%5C%5C4y%3D20%5C%5Cy%3D%5Cfrac%7B20%7D%7B4%7D%3D5)
Therefore, the value of 'y' is 5.
Answer:
Step-by-step explanation:
Let the number be y & reciprocal simply means inverse of the number
4×1/y=2×1/8 solving for y
4/y=2/8; y = 16
Triangle's angles add to 180:
99 + 3x + x + 5 = 180
4x = 74
x = 18.5
The slope intercept form for those two points is y=-1/4x+2
Answer:
6 sided polygon or you cans say its called a hexagon
Step-by-step explanation:
Just divide, its not really an algebra answer, 34.08/5.68