Answer:
x = 2, x = 4
Step-by-step explanation:
The equation y = 10 - 9x is a linear equation and the value of either y or x can be found by substituting the given values of either y or x.
given that y = -8, and substituting this into equation y = 10 - 9x,
we have, -8 = 10 - 9x
10 + 8 = 9x
9x = 18; dividing both sides by 9
x = 2
given that y = -26, and substituting this into equation y = 10 - 9x,
we have, -26 = 10 - 9x
10 + 26 = 9x
9x = 36; dividing both sides by 9
x = 4
Answer: The goal was $500
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Work Shown:
x% = x/100
175% = 175/100 = 1.75
Let g be the goal, which is the amount of money the club wanted to raise
175% of goal = 175% of g = 1.75g
The expression 1.75g represents how much money was actually raised, which was $875. Set the two expressions equal to each other. Solve for g
1.75g = 875
g = 875/1.75 ....... divide both sides by 1.75
g = 500
The club's goal was to raise $500
Note how 75% of $500 is 0.75*500 = 375
When they raised 175% of the goal, this means they went 75% overboard and added on 375 additional dollars (on top of the 500 they wanted). So they got to 500+375 = 875 which lines up with the instructions. This helps verify the answer.
Or we can see that 1.75*g = 1.75*500 = 875 which helps confirm the answer as well.
Answer: B. △ABC is congruent to △A′B′C′ because the rules represent a rotation followed by a reflection, which is a sequence of rigid motions.
Step-by-step explanation:
Because the 7 is used more than once.