Answer:
Step-by-step explanation:
First, distribute the 2 to the 3z and -6 within the parenthesis.
You know have 6z -12/5 + 6 = 10
Subtract 6 from both sides of the equation
6z -12/5 = 4
Multiply 5 on both sides of the equation
6z -12 = 20
Add 12 to both sides of the equation
6z = 32
Divide by 6 on both sides of the equation
z = 32/6
Simplify
z = 16/3
I hope that this helps! :)
Answer:
y=1/3x+0 or y=1/3x
Step-by-step explanation:
find the slope by taking two points and putting them in
y2 - y1/x2 - x1
so, (3,1) and (6,2) becomes 2-1/6-3 or 1/3 so, slope is 1/3
then to find y intercept you can put a point (6,2) and slope (1/3) into slope intercept form y - y1 = m(x - x1)
y - 2 = 1/3(x-6)
when you solve this you get y = 1/3x + 0, so y intercept is 0. you can also see. this on the graph given
Answer:
4.5 seconds.
Step-by-step explanation:
0.75 of a picture will be taken within a second. 6 times 0.75 is 4.5 seconds.
Hope this helps!
Answer: see proof below
<u>Step-by-step explanation:</u>
Statement Reason
1. YO = NZ 1. Given
2. OZ = OZ 2. Reflexive Property
3. YO + OZ = YZ 3. Segment Addition Property
NZ + OZ = NO
4. YO + OZ = NZ + OZ 4. Addition Property
5. YZ = NO 5. Substitution
6. ∠M ≅ ∠X 6. Given
7. ∠N ≅ ∠Y 7. Given
8. ΔMNO ≅ ΔXYZ 8. AAS Congruency Theorem
Given:
Serenity picked 75% of the apples of a tree in her backyard.
She picked 30 apples.
To find:
The number of apples on the tree in the beginning.
Solution:
Let x be the number of apples on the tree in the beginning.
Serenity picked 75% of the apples of a tree in her backyard.
Number of apples picked = 75% of x
= 
= 
She picked 30 apples.

Multiply both sides by 4.


Divide both sides by 3.


Therefore, the number of apples on the tree in the beginning is 40.