Answer:
Given triangle ABC with altitude segment BD labeled x. Angles ADB and CDB are right angles by _____1._____, making triangle ABD and triangle BCD right triangles. Using the trigonometric ratios sine of A equals x over c and sine of C equals x over a. Multiplying to isolate x in both equations gives x = _____2._____ and x = a ⋅ sinC. We also know that x = x by the reflexive property. By the substitution property, _____3._____. Dividing each side of the equation by ac gives: sine of A over a equals sine of C over c.
Step-by-step explanation:
Order the fractions in ascending order:
{1/6,1/8,1/3}
={4/24,3/24,8/24}
=> in ascending order:
3/24,4/24,8/24
= 1/8, 1/6, 1/3
Answer:
Step-by-step explanation:
Given
on solving this mixed fraction we get;
Now adding these fractions by same denominator method.
![-\frac{29\times3}{10\times3} +[-\frac{64\times2}{15\times2} ]\-\frac{87}{30} +[-\frac{128}{30}]\ = -\frac{215}{30}](https://tex.z-dn.net/?f=-%5Cfrac%7B29%5Ctimes3%7D%7B10%5Ctimes3%7D%20%2B%5B-%5Cfrac%7B64%5Ctimes2%7D%7B15%5Ctimes2%7D%20%5D%5C-%5Cfrac%7B87%7D%7B30%7D%20%2B%5B-%5Cfrac%7B128%7D%7B30%7D%5D%5C%20%3D%20-%5Cfrac%7B215%7D%7B30%7D)
Answer:
4. Domain is all reals and range is 2, -∞
5. Domain and Range is both all reals
6. Domain is 0<x<4 and Range is -3<y<3
Step-by-step explanation:
Answer:
an-1-9
25n-1-9
25n-10=0
25n=0+10
25n=10
divide both sides by 25
25n/25 =10/25
n=2/5
Step-by-step explanation:
