Answer:
193.54166618
Step-by-step explanation:
Answer:
-2,-1,1,2
Step-by-step explanation:
The term root is just another name for the x intercept so just look at where your line crosses the x axis and you will have your answer. Remember the y axis is not involved so it cannot be a co-ordinate.
Answer:
∠C=90°
∠A=67°
∠B=23°
Step-by-step explanation:
For angle C:
Thales' Theorem states that an angle inscribed across a circle's diameter is always a right angle.
Therefore, since AB is the diameter(hypotenuse) then angle C is the right angle. (90°)
For Angle A:
The measure of arc BC= 134 degrees. We can just use a formula for an inscribed triangle. ∠A = 1/2 (mBC)
∠A= (1/2)134
∠A= 77°
For angle B:
All triangle angles all add up to 180. We can just subtract angles A and C from 180°:
∠B = 180-(90+67)
∠B = 23°
<span>Clay has 25 marbles to trade for some of Mark's baseball cards. If Clay makes the trade today, Mark will give him a discount of 3 marbles. If each card is worth 5 marbles, how many baseball cards, x, will Clay get?
^^ That is the situation that does NOT represent the equation
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</span>
Let small box = X and large box = y
Set up two equations:
X + Y = 85 pounds.
Rewrite as X = 85 - y
and:
55x + 50Y = 4375 pounds.
Replace x:
55(85 - y) + 50y = 4375
Use distributive property:
4675 - 55y + 50y = 4375
Combine like terms:
4675 - 5y = 4375
Subtract 4675 from both sides:
-5y = -300
Divide both sides by -5:
y = 60
This is the weight of the large box.
The small box would weigh 85 - 60 = 25 pounds.
Large box = 60 pounds.
Small box = 25 pounds.
