Answer:
<ABC = 54 degrees
Step-by-step explanation:
Taking the sum of angle on the straight line ABD as 180 degrees
3x+9 + 9x - 9 =180
12x = 180
x = 180/12
x = 15 degrees
Since <ABC = 3x+9 (vertically opposite angles)
<ABC = 3(15)+9
<ABC = 45+9
<ABC = 54 degrees
We know that since a diameter splits a circle in half, the arcs EF, FG, and GH must add up to 180°, half the measure of a full circle. We can then use the arc addition property to create an equation using the information we know. This equation would be (10x + 8) + 67 + 11x = 180. This can be simplified to x = 5. Therefore, the value of x is 5. Now, we can simply plug in the value of x into the expressions for EF and GH. This means that the measure of EF is 58° and the measure of GH is 55°.
Hope this helps!
Step-by-step explanation:
The equation 0.5s+ 9.99=30 describes the situation.
9.99 is the fixed amount
0.5 is the cost for each song download
30 is the maximum amount spend for a month
Here 's' represents the number of songs download
0.5s+ 9.99=30 means
0.5 times the number of songs plus the fixed cost 9.99 should be equal to 30 dollars.
The solution to this equation is s=40.02.
s= 40.02 means 40 songs can be downloaded as per the budget
If he counts 76 feet, that means there’s 38 animals in total, because animals have 2 feet. 76/2=38
Hope that helps..!
