Answer:
m∠1= 79
Step-by-step explanation:
What we have here is two vertical lines and one intersecting point.
The m∠1 and m∠6 are vertical angles, which means that they equal to each other. So, the equation would be: 6x+25= 10x-11.
Step 1- Subtract 6x to both sides.
6x+25= 10x-11
-6x -6x
25= 4x-11
Step 2- Add 11 to both sides.
25= 4x-11
+11 +11
36= 4x
Step 3- Divide both sides by 4.
<u>36</u>= <u>4x</u>
4 4
x= 9
Now that we know the value of the variable x, substitute it into the equation for m∠1.
m∠1= 10(9)-11
m∠1= 90-11
m∠= 79
<u>Check </u>
m∠6= 6(9)+25
m∠6= 54+25
m∠6= 79
Since m∠1 and m∠6 are vertical angles, they should equal each other.
Answer:
12 CM is the best answer.
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A kilogram is 1000 grams, so 88.9 x 1000 = 88,900 grams.
f(x)=(x+4) ^2 −25
to solve set equal to zero
0 =(x+4) ^2 −25
add 25 to each side
25 = (x+4) ^2
take the square root of each side
square root (25) =(x+4)
+- 5 = (x+4)
5 = x+4 -5 = x+4
subtract 4 from each side
1 =x -9 =x
Answer:
12.5
Step-by-step explanation:
We can use ratios to solve
4 4+6
---- = ----------
5 AC
4 10
---- = ----------
5 AC
Using cross products
4 * AC = 5*10
4AC = 50
Divide by 4
AC = 50/4
AC =12.5