H(x)
x-5+dx=+5;5x-5(x)+5/h(x)-5x(5)+5
+ h =
+ 90 = 90°
ay + k = 2(1) + 8 = 10+5(x)
Answer:
17
Step-by-step explanation:
Pythagorean formula
a²+b²=c²
in other words, sidea²+sideb²=hypotenuse
8²+15²=c²
64+225=c²
289=c²
√289=√c²
17=c
Answer: 3/5
Step-by-step explanation:
Out of 5 school days, Janna and Anthony walk home on Monday, Wednesday and Friday.
This means they walk home on 3 days out of 5.
The fraction of time they walk home from school is;
= 3/5
Answer:
<u>See below:</u>
Step-by-step explanation:
Let the angles be 5x , 4x , 3x.[Since the angles are in ratio 5:4:3 ] respectively.
We know that sum of all angles of a triangle is 180°.
So,
![5x + 4x + 3x = 180 {}^{ \circ}](https://tex.z-dn.net/?f=5x%20%2B%204x%20%2B%203x%20%3D%20180%20%20%20%7B%7D%5E%7B%20%5Ccirc%7D%20)
Now Find the value of x of this equation.
![\sf \implies \: 5x + 4x + 3x = 180 {}^{ \circ}](https://tex.z-dn.net/?f=%5Csf%20%20%5Cimplies%20%5C%3A%205x%20%2B%204x%20%2B%203x%20%3D%20180%20%7B%7D%5E%7B%20%5Ccirc%7D%20)
![\sf \implies12x = 180 {}^{ \circ}](https://tex.z-dn.net/?f=%5Csf%20%20%5Cimplies12x%20%3D%20180%20%7B%7D%5E%7B%20%5Ccirc%7D%20)
![\sf \implies \: x = \cfrac{180 { {}^{ \circ} }}{12}](https://tex.z-dn.net/?f=%5Csf%20%20%5Cimplies%20%5C%3A%20x%20%3D%20%20%5Ccfrac%7B180%20%7B%20%7B%7D%5E%7B%20%5Ccirc%7D%20%7D%7D%7B12%7D%20)
![\sf \implies \: x = \cfrac{ \cancel{180 {}^{ \circ}} }{ \cancel{12}}](https://tex.z-dn.net/?f=%5Csf%20%20%5Cimplies%20%5C%3A%20x%20%3D%20%20%5Ccfrac%7B%20%5Ccancel%7B180%20%7B%7D%5E%7B%20%5Ccirc%7D%7D%20%7D%7B%20%20%5Ccancel%7B12%7D%7D%20)
![\sf \implies \: x = 15 {}^{ \circ}](https://tex.z-dn.net/?f=%5Csf%20%20%5Cimplies%20%5C%3A%20x%20%3D%2015%20%7B%7D%5E%7B%20%5Ccirc%7D%20)
Now,
Multiply each ratio given by 15 which is the value of x we got.
That is;
![\therefore \sf\implies \: First \: Angle = 5 \times 15 {}^{ \circ} = \boxed{75 {}^{ \circ}}](https://tex.z-dn.net/?f=%20%5Ctherefore%20%5Csf%5Cimplies%20%5C%3A%20First%20%5C%3A%20Angle%20%3D%205%20%5Ctimes%2015%20%20%7B%7D%5E%7B%20%5Ccirc%7D%20%20%3D%20%5Cboxed%7B75%20%7B%7D%5E%7B%20%5Ccirc%7D%7D%20)
![\sf \sf \implies \: Second\: Angle = 4\times 15 {}^{ \circ} = \boxed{60 {}^ \circ}](https://tex.z-dn.net/?f=%20%5Csf%20%5Csf%20%20%5Cimplies%20%5C%3A%20Second%5C%3A%20Angle%20%3D%204%5Ctimes%2015%20%20%7B%7D%5E%7B%20%5Ccirc%7D%20%20%3D%20%5Cboxed%7B60%20%7B%7D%5E%20%20%5Ccirc%7D)
![\sf \implies \: Third\: Angle = 3 \times 15 = \boxed{ {45}^ \circ}](https://tex.z-dn.net/?f=%5Csf%20%20%5Cimplies%20%5C%3A%20Third%5C%3A%20Angle%20%3D%203%20%5Ctimes%2015%20%3D%20%20%5Cboxed%7B%20%7B45%7D%5E%20%5Ccirc%7D%20)
Hence,the measurements of the angles of the triangle would be 75°[First Angle],60°[Second angle],and 45° [Third Angle].
![\rule{225 pt}{2pt}](https://tex.z-dn.net/?f=%20%5Crule%7B225%20pt%7D%7B2pt%7D)
I hope this helps!
Let me know if you have any questions.