The obtuse angles are all the same, and in order to find the acute angles you have to subtract the obtuse angle from 180 degrees.
Acute angles will be equal to 180-130 = 50 degrees.
All the obtuse angles will be the same and all the acute angles will be the same.
Remark
Yes even though 8 is not a prime number. There is nothing that will divide into 3 or 8 the will give a whole number answer when the division is complete.
That means that 3 and 8 are prime to each other in base 10.
Hello! The x-intercept is where the line crosses the x-axis when y = 0. We already have the expression shown. We will plug in 0 as y to get this:
5x - 8(0) = 40.
As you probably know, anything times 0 is 0, so -8 * 0 is 0. All we have is 5x = 40. Divide each side by 5 to isolate the x. 5x/5 cancels out. 40/5 is 8. There. x = 8. The x-intercept is (8, 0).
Let the weight of Paula's dog be x
Let the weight of Carla's dog be y
We know that the weight of Paula's dog is 3 times that of Carla's dog, therefore:
x = 3y ...........> equation I
We also know that the sum of the weights is 48 pounds, therefore:
x + y = 48 ............> equation II
Substitute with equation I in equation II:
3y + y = 48
4y = 48
y = 12 pouds
Substitute with the value of y in equation I:
x = 3(12) = 36 pounds
Based on the above calculations:
Paula's dog weighs 36 pounds
Carla's dog weighs 12 pounds
