In order to form triangle PQT and quadrilateral TQRS, point T must lie on line PS which is 16 cm. long.
If the ratio of PT to TS is 5:3 and the total length of PS is 16, then PT must be 10 and TS must be 6 (10 + 6 =16) and 10:6 is the same ratio as 5:3. Another way to think about it is 5/3 = 10/6.
Now you have all the lengths that you need to find the areas of the quadrilateral and the triangle.
Make sure you draw a diagram of it!!
The anwser is along the lines of "there are 26 teams in the league, and if each team has 18 players then 26 times 18 is equal to 468 players in the league.
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Answer:
The correct answers are 2h-2=92 and h-2=92-h.
Step-by-step explanation:
Hannah, h, is the older sibling and their ages are consecutive odd integers. This means that Anthony's age will be 2 less than Hannah's, or h-2.
The sum of these would be h+(h-2), giving us the equation h+(h-2)=92.
Combining like terms we would have the first correct choice, 2h-2=92.
Our first equation can be transformed, however, to have (h-2) by itself. To do this, we would subtract h from both sides, giving us h-2=92-h.
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Answer:
equation: x/8 = 11
solution: 88
Step-by-step explanation:
Let our unknown number be the variable, x. Since we're dividing x by 8, we can rewrite it into these expressions: x/8 or x ÷ 8. Because x divided by eight equals eleven, we can translate it into this equation: <u>x/8 = 11</u>, or <u>x ÷ 8 = 11</u>.
To solve for the equation x/8 = 11, let's multiply each side by 8 so we can isolate the variable, x.
x/8 ⋅ 8 = 11 ⋅ 8
x = 88
Now that we've completed multiplying each side by 8, you can see that x = 88, meaning that the unknown number is <u>88</u>.
