Answer:
x = 9
Step-by-step explanation:
All of the right triangles in the figure are similar. That means ratios of corresponding sides are the same.
The two sides marked with numerical values have lengths 5 and 2√5 ≈ 4.47. The remainder of x, which is (x-5), will be shorter than either of the other two marked lengths. This means we can write the ratio of short side to long side of the two smaller triangles as ...
short side / long side = (2√5)/5 = (x-5)/(2√5)
Cross-multiplying gives ...
20 = 5(x -5)
4 = x -5 . . . . . divide by 5
9 = x . . . . . . . add 5
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<em>Additional comment</em>
In this geometry, as we have seen above, the square of the altitude ((2√5)²=20) is the product of the lengths of the segments of the hypotenuse (5×4=20). There are two other "geometric mean" relationships in a triangle like this, involving the legs of the largest triangle. They all arise from the similarity of the triangles.
Answer:
<PCH+<HCK=180-DEGREE BEING IN A STRAIGHT LINE.
3M+58+8M+155=180
11M=180-213
11M=-33
M=-3
SO,
<PCH
3M+58
=3*(-3)+58
=58-9
=49-DEGREE
1/10 is left.
Explanation:
First we need to find a common denominator. Since 5×2=10, if we multiply 4/5 by 2/2, we will be able to subtract that from 9/10.
4/5×2/2= 8/10. Then if we subtract that from the 9/10 left of the pizza, we get 1/10, the amount remaining.
Hope this helps :)
Answer:
1. $82
2. $145
3. For the purchace of the two lazertag and two headstock games, you would need to either buy two of the first coupon or by all four games separate.
Ok so you divide the bill by 2 because you each are paying half. You knock off $4 because you owed him that from last time and you pay $9. So this would equal to b/2 -4 =9. If you work it out in reverse, you get 4+9 which equals 13 then multiplied by 2 which means the total bill was $26.
So we have 5+3x=11. We subtract 5 from both sides and get 3x=6. we divide both sides by 3 and get x=2. Daniella skated for 2 hours
