Answer:
z=55
Step-by-step explanation:
The two angles form a straight line which is 180 degrees
80 + 2z-10 = 180
Combine line terms
70 +2z = 180
Subtract 70 from each side
70-70 +2z= 180 -70
2z = 110
Divide by 2
2z/2 = 110/2
z = 55
44% of a number x is 99
44%=0.44
0.44×99= 43.56
22% of a number y is 55
22%=0.22
0.22×55=12.1
the greater number is 44% of a number is 99 so the value is 43.56
Answer:
Number 5. = 69
Number 8. = 19
Step-by-step explanation:
Answer:
The length of the longer ladder is 35 ft Step-by-step explanation: Please check the attachment for a diagrammatic representation of the problem We want to calculate the length of the longer ladder ; We make reference to the diagram Since the two right triangles formed are similar. the ratios of their sides are equal; Thus; 20/15 = 28/x + 15 20(x + 15) = 15(28) 20x + 300 = 420 20x = 420-300 20x = 120 x = 120/20 x = 6 So we want to calculate the hypotenuse of a right triangle with other sides 28ft and 21 ft To do this, we use the Pythagoras’ theorem which states that square of the hypotenuse equals the sum of the squares of the two other sides Let the hypotenuse be marked x x^2 = 28^2 + 21^2 x^2 = 1,225
x = √1225
x = 35 ft
