Step-by-step explanation:
sin ? = 32/33
sin ? = .969
? = sin inverse .969
? = 75.69°
nearest 10 so 75.7°
Answer:
242$ in grocery store and 210$ in nursery
Step-by-step explanation:
Is d= sqrt ((7-2)^2+(4-3)^2)= sqrt (25+1) = sqrt (26) so is B)
Answer:
or
or
Step-by-step explanation:
These two triangles are similar. Since they share two angles, the right angle and angle EBD and ABC are congruent. By AA similarity rule, they are similar triangles.
Since they are similar we can set up a proportion of the triangles since similar triangles have proportional side length.
Side AC corresponds with DE
Side AB corresponds with BE
Side BC corresponds with BD
So we can use this proportion theorem, or angle bisector theorem
Plug in the numbers.
Cross multiply
As a decimal it equal
or
I will help you do it the correct way.
To solve by substitution, you must cancel out either x or y.
We will choose x, as -x and 2x are easier to change and cancel.
We multiply the second equation by 2 to make -x -2x, the opposite of 2x in the first equation.
<span>y=-x+34
</span>2(y = -x + 34)
2y = -2x + 78
We add the equations together.
y = = 2x - 20
2y = -2x + 68
y + 2y = 2x - 2x + 68 - 20
Combine like terms
3y = 48
isolate y
3y = 48
/3 /3
y = 16
Now we substitute 16 in for y in an original equation.
Let's choose the first equation.
Y=2x-20
16 = 2x - 20
Isolate x
16 = 2x - 20
+20 +20
36 = 2x
/2 /2
18 = x
x = 18
y = 16
The solution is (18, 16)
To check, substitute both into both equations and see whether or not the equation is true. (you can surely do this on your own)
