The value of x from the given diagram is 16.6
<h3>Secant-secant theorem</h3>
In order to determine the value of x from the given figure, we will use the secant-secant theorem shown by the equation.
(6 +12) * 6 = (5 + x) * 5
Expand
36+72 = 25 + 5x
108 = 25 + 5x
5x = 108 - 25
5x = 83
x = 83/5
x = 16.6
Hence the value of x from the given diagram is 16.6
Learn more on secant-secant theorem here: brainly.com/question/26826991
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<span>B. all real numbers greater than or equal to 2</span>
Answer:
45 green beads
.
Step-by-step explanation:
Let the number of red beads be 'x'
Given that, Carrie has 3 times as many green beads as red beads
Number of green beads = 3 times number of red beads
Number of green beads = 3x
She 2 as many blue beads as green beads
Number of blue beads = 2 times the number of green beads
Number of blue beads = 2(3x) = 6x
She has 150 total
Therefore,
Number of red beads + Number of green beads + Number of blue beads = 150
x + 3x + 6x = 150
10x = 150
x = 15
Thus, number of green beads = 3x = 3(15) = 45
Thus there are 45 green beads
I hope this helps
<u>A. 587 * 92</u>
We are rounding these factors to the nearest ten, so 587 becomes 590 and 92 becomes 90.
Now multiply 590 and 90.
590 * 90 = 53,100; 59 * 9 = 531, and then add on the two zeroes.
The following answer of 54,004 is reasonable because it is close to our estimate of 53,100.
<u>B. 117 * 19</u>
Rounding these numbers to the nearest ten, you make 117 become 120 and 19 become 20.
Multiply 120 and 20.
120 * 20 = 2,400; I multiplied 12 and 2 to get 24, then added on the two zeroes.
The following answer of 222.3 is not reasonable because it is way off from 2,400. They are about 1,200 apart.
Lets say that variable x=total number of hotdogs, and variable y=total number of drinks. Our first equation will calculate the total cost.
2x+1y=11. We are multiplying the price by the total number of each item then adding them together, since they spent a total of $11. Our second equation will calculate the number of items.
x+y=8.
To solve, we will isolate x in the second equation. x=8-y We will substitute that for x in the first equation. 2(8-y)+1y=11 Distributive property. 16-2y+1y=11 Combine like terms. 16-y=11 Isolate y to solve. y=5 Then we plug y into the second equation and solve for x. x+5=8 Subtract 5 from both sides. x=3
