Answer:
x = 17
, y = 34
Step-by-step explanation:
Since the triangle is right use trig ratios to find x and y
note exact values sin30° = 
, tan30° = 
sin30° = 
= 
multiply both sides by y
y sin30° = 17 ( divide both sides by sin30° )
y = 
= 34
tan30° = 
= 
multiply both sides by x
x tan30° = 17 ( divide both sides by tan30° )
x = 
= 17
Answer:
By comparison of the sides.
Step-by-step explanation:
If triangles are similar, that means their angles are equal and sides are proportional.
If you already have a proportion of two corresponding sides between triangles, then use that proportion and set it equal to a side you already know the measurement to. Hopefully that side is corresponding to your missing measurement, and you can then solve it.
Answer:
-1 or 1/-1
Step-by-step explanation:
Answer: -15x^3y^7
Step-by-step explanation:
-5x^2y^4(3xy^3)
Multiplty the coefficients
Multiply the x terms
and fianally multiply the y terms
-5(3) = -15
x^2 * x = x^3
y^4* y^3 = y^7
= -15x^3y^7
hello
the question here is
![3\sqrt[]{7}(14-4\sqrt[]{56})](https://tex.z-dn.net/?f=3%5Csqrt%5B%5D%7B7%7D%2814-4%5Csqrt%5B%5D%7B56%7D%29)
step 1
multiply through the bracket by the coeffiecient
![\begin{gathered} 3\sqrt[]{7}(14-4\sqrt[]{56}) \\ (3\sqrt[]{7}\times14)-(3\sqrt[]{7}\times4\sqrt[]{56}) \\ (14\times3\sqrt[]{7})-3\sqrt[]{7}\times4\sqrt[]{4\times14} \\ (42\sqrt[]{7})-3\sqrt[]{7}\times8\sqrt[]{14} \\ (42\sqrt[]{7})-\lbrack(3\times8)\sqrt[]{7\times14} \\ 42\sqrt[]{7}-24\sqrt[]{98} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%203%5Csqrt%5B%5D%7B7%7D%2814-4%5Csqrt%5B%5D%7B56%7D%29%20%5C%5C%20%283%5Csqrt%5B%5D%7B7%7D%5Ctimes14%29-%283%5Csqrt%5B%5D%7B7%7D%5Ctimes4%5Csqrt%5B%5D%7B56%7D%29%20%5C%5C%20%2814%5Ctimes3%5Csqrt%5B%5D%7B7%7D%29-3%5Csqrt%5B%5D%7B7%7D%5Ctimes4%5Csqrt%5B%5D%7B4%5Ctimes14%7D%20%5C%5C%20%2842%5Csqrt%5B%5D%7B7%7D%29-3%5Csqrt%5B%5D%7B7%7D%5Ctimes8%5Csqrt%5B%5D%7B14%7D%20%5C%5C%20%2842%5Csqrt%5B%5D%7B7%7D%29-%5Clbrack%283%5Ctimes8%29%5Csqrt%5B%5D%7B7%5Ctimes14%7D%20%5C%5C%2042%5Csqrt%5B%5D%7B7%7D-24%5Csqrt%5B%5D%7B98%7D%20%5Cend%7Bgathered%7D)
![\begin{gathered} 42\sqrt[]{7}-24\sqrt[]{49\times2} \\ 42\sqrt[]{7}-24\times7\sqrt[]{2} \\ 42\sqrt[]{7}-168\sqrt[]{2} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%2042%5Csqrt%5B%5D%7B7%7D-24%5Csqrt%5B%5D%7B49%5Ctimes2%7D%20%5C%5C%2042%5Csqrt%5B%5D%7B7%7D-24%5Ctimes7%5Csqrt%5B%5D%7B2%7D%20%5C%5C%2042%5Csqrt%5B%5D%7B7%7D-168%5Csqrt%5B%5D%7B2%7D%20%5Cend%7Bgathered%7D)
