m=24=+(-9,1,3
3
Step-by-step explanation:
Substitute n=3,\pm 1n=3,±1 into 3m-9n=243m−9n=24
Solve for mm in 3m-(-9,1,3)=243m−(−9,1,3)=24
Answer:
Correct options,
a) ![\frac{BA}{YX}=\frac{BC}{YZ}=\frac{AC}{XZ}](https://tex.z-dn.net/?f=%5Cfrac%7BBA%7D%7BYX%7D%3D%5Cfrac%7BBC%7D%7BYZ%7D%3D%5Cfrac%7BAC%7D%7BXZ%7D)
c)
and ∠A = ∠X
Step-by-step explanation:
Given : ΔABC ≅ Δ XYZ
We have choose out of given options that correctly prove that ΔABC ≅ Δ XYZ
Two triangles are said to be similar when their corresponding sides are in same ratio and the measure of their corresponding angles are equal.
That is ![\frac{AB}{YX}=\frac{BC}{YZ}=\frac{AC}{XZ}](https://tex.z-dn.net/?f=%5Cfrac%7BAB%7D%7BYX%7D%3D%5Cfrac%7BBC%7D%7BYZ%7D%3D%5Cfrac%7BAC%7D%7BXZ%7D)
and ∠ A = ∠X , ∠ B = ∠Y AND ∠C = ∠Z
Also ,
We have conditions for two triangle to be similar.
1) SSS : When the ratio of all the three sides of a triangle are equal.
that is ![\frac{AB}{YX}=\frac{BC}{YZ}=\frac{AC}{XZ}](https://tex.z-dn.net/?f=%5Cfrac%7BAB%7D%7BYX%7D%3D%5Cfrac%7BBC%7D%7BYZ%7D%3D%5Cfrac%7BAC%7D%7BXZ%7D)
2) SAS: When the ratio of two corresponding sides are equal and the measure of angle between those sides are equal
and ∠ A = ∠X
Thus, Out of given options,
a) ![\frac{BA}{YX}=\frac{BC}{YZ}=\frac{AC}{XZ}](https://tex.z-dn.net/?f=%5Cfrac%7BBA%7D%7BYX%7D%3D%5Cfrac%7BBC%7D%7BYZ%7D%3D%5Cfrac%7BAC%7D%7BXZ%7D)
c)
and ∠A = ∠X
The coefficients are the constants -2/3, 3, and -2. You're supposed to multiply these together to get one term with one numerical constant which is the coefficient for the whole expression.
This is just a bunch of multiplications, (-2/3)*x*3*y*(-2)*x, and so the commutative law applies, which says that you can rearrange a multiplication any way you want. So put the numbers together, and the x's together and the y's together.
( (-2/3)*3*(-2) ) * (x^3 * x) * y
I'm also using the associative law, which says that I can put those parentheses in and multiply those groups of things together first. I'll bet you never thought "commutative law" and "associative law" were things that anybody actually used.
To simplify, multiply those things in the parentheses. x^3 * x is x^4. The product of those constants (-2/3), 3 and -2 is one number which is the coefficient. Source(s): Randy P <span> · 8 years ago </span>
Answer:
see the analysis below
Step-by-step explanation:
Answer:
180
Step-by-step explanation: