Answer:
x = 32 degrees
Angle ABC (left one): 153 degrees
Angle CBD (right one): 27 degrees
Step-by-step explanation:
We know that the total angle will be 180 degrees, as it's a continuous straight line.
We can set the sum of our 2 angles equal to 180 degrees and solve for x.
(4x + 25) + (x - 5) = 180
4x + 25 + x - 5 = 180
4x + x + 25 - 5 = 180
5x + 20 = 180
5x = 160
x = 160/5 = 32
x = 32
Angle ABC:
4x + 25 = 4 * 32 + 25 = 128 + 25 = 153
153 degrees
Angle CBD:
x - 5 = 32 - 5 = 27
27 degrees
We can confirm this by adding the 2 angles together. We should get 180 degrees.
153 + 27 = 180
Checks out!
F(2)= (2)+1/4(2)-2
F(2)=3/6
F(2)= 1/2
Answer: x=32
Step-by-step explanation:
Because a triangle is 180°, the missing angle in the triangle would be 60°.
Because of the 30°-60°-90° angles theorem, The side opposite 90° is double the side opposite 30°, which means that x=32.
IfIf she graphs the number of bookmarks sold compared to the total money earned. The rate of change for the function graphed to the left is: 5/2.
<h3>Rate of change</h3>
Based on the graph the coordinate are:
(4,0), (8,10), (12,20)
Using slope formula to find the rate of change Slope=y2-y1/x2-x1
Hence,
(x1-y1)=(4,0) & (x2 -y2)= (8,10)
Let plug in the formula
Slope=10-0/8-4
Slope=10/4
Slope=5/2
Therefore If she graphs the number of bookmarks sold compared to the total money earned. The rate of change for the function graphed to the left is: 5/2.
Learn more about rate of change here:brainly.com/question/9869638
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Answer:
He must sell 8 cards to reach the minimum goal.
Step-by-step explanation:
Giving the following information:
He wants to earn more than $50 at the fair.
He sells his cards for $2 and he has already earned $36.
<u>First, we need to calculate the money required to reach the minimum goal:</u>
51 - 36= $15
<u>Now, we write the inequality:</u>
2*x >15
x= number of cards sold.
x>15/2
x> 7.5
He must sell 8 cards to reach the minimum goal.
