Answer:
x+75=180
x=180-75
x=105
Step-by-step explanation:
x and a are on a straight line
a straight line=180
so you add the x to a=180
a. 28 * 63
28 (60) + 28 (3) or 20 (60) +20 (3) + 8 (60) + 8 (3)
1680 + 84=1764 1200 / 60 +480 +24=1764
b. 17(59)
17 (50) + 17 (9) or 10 (50) + 10 (9) + 7 (50) +7 (3)
850 + 153=1003 500 + 90 + 63 =1003
c.458 (15)
458 (10) +458 (5) or 10 (400) + 10 (50) + 10 (8) + 5 (400) +5 (50) + 5 (8)
4580 +2290 = 6870 400 + 500 + 80 + 2000 + 250 + 40 = 6870
My work is kinda confusing but hope it helped
1.875
Step-by-step explanation:
Step 1 :
Given,
In ΔOPQ,
∠Q=90°,
PO = 17, QP = 8 OQ = 15
Step 2:
We know that the hypotenuse will be the largest side of a triangle.
So in the given triangle PO = 17 is the hypotenuse.
With respect to angle P, OQ represents the opposite side of angle P and PQ will be the adjacent side.
Also the tangent of any angle in a triangle can be determined by dividing the opposite side of the angle by the adjacent side.
Step 3 :
So using the above we have,
tangent of angle P = opposite side /adjacent side = 15/8 = 1.875
9514 1404 393
Answer:
- 3 big bucks
- 6 little bucks
- 17 does
Step-by-step explanation:
Let B, L, D represent the numbers of big bucks, little bucks, and does, respectively.
B + L + D = 26 . . . . . . total bagged
D = 5 + 2L . . . . . . . . . 5 more does than twice the number of little bucks
B = L/2 . . . . . . . . . . . . half as many big bucks as little bucks
__
We can substitute for B and D in the first equation:
L/2 + L + (5 +2L) = 26
7/2L = 21 . . . . . . . . . . . . . subtract 5, collect terms
L = 6 . . . . . . . . . . . . . . . . . multiply by 2/7
D = 5 + 2·6 = 17
B = 6/2 = 3
The party bagged 3 big bucks, 6 little bucks and 17 does.