Answer:
120
Step-by-step explanation:
As we can see that if we divide 120 by the 24, the remainder would be zero and the quotient be 5
As if we multiply 24 with the 5 it gives 120
And, the 4 is not a digit as it smaller than 24 so we have to carry the amount
Therefore if we insert 120 and divisible by 24 than it gives quotient 5 and the remainder is zero as it is completely divisible
Answer:
Therefore the value of x is 25.8 unit.
Step-by-step explanation:
Given:
AB =Tangent = y
BE = secant segment = 5
BC = secant segment = 7
EF = x
CD = 15
To Find :
x = ?
Solution:
Tangent-secant theorem:
"When a tangent and a secant are drawn from one single external point to a circle, square of the length of tangent segment must be equal to the product of lengths of whole secant segment and the exterior portion of secant segment."
Here we have
AB =Tangent
BC = secant segment = 7
BD = exterior portion of secant segment = BC +CD =7 + 15 = 22
So on applying Tangent-secant theorem we get
![(AB)^{2}=BC\times BD](https://tex.z-dn.net/?f=%28AB%29%5E%7B2%7D%3DBC%5Ctimes%20BD)
Substituting we get
![(y)^{2}=7\times 22=154\\\\Square\ Rooting\ we\ get\\\\y=\sqrt{154}=12.4\ unit\\\therefore AB = y = 12.4](https://tex.z-dn.net/?f=%28y%29%5E%7B2%7D%3D7%5Ctimes%2022%3D154%5C%5C%5C%5CSquare%5C%20Rooting%5C%20we%5C%20get%5C%5C%5C%5Cy%3D%5Csqrt%7B154%7D%3D12.4%5C%20unit%5C%5C%5Ctherefore%20AB%20%3D%20y%20%3D%2012.4)
Now again applying Tangent-secant theorem for different secant we get
![(AB)^{2}=BE\times BF](https://tex.z-dn.net/?f=%28AB%29%5E%7B2%7D%3DBE%5Ctimes%20BF)
Substituting we get
![(12.4)^{2}=5\times (5+x)\\\\153.76=25+5x\\\\5x=128.76\\\\\therefore x=\dfrac{128.76}{5}=25.752\\\\\therefore x=25.8\ unit](https://tex.z-dn.net/?f=%2812.4%29%5E%7B2%7D%3D5%5Ctimes%20%285%2Bx%29%5C%5C%5C%5C153.76%3D25%2B5x%5C%5C%5C%5C5x%3D128.76%5C%5C%5C%5C%5Ctherefore%20x%3D%5Cdfrac%7B128.76%7D%7B5%7D%3D25.752%5C%5C%5C%5C%5Ctherefore%20x%3D25.8%5C%20unit)
Therefore the value of x is 25.8 unit.
The tenths place within a decimal is the first number to the right of a decimal. Let's look at our tenths place.
6 is in our tenths place. To determine whether or not to round up or down in the tenths place, we need to look at the hundredths place for a 5 or higher.
2 is in our hundredths place, so we cannot round up. We will round down to 1.6.
1.6 is 1.625 rounded to the nearest tenth.
I hope this helps!
<h3>The difference between x and 4 is greater than 10.</h3>
This can be written as,
<h3>x - 4 > 10</h3>
<h3>Why?</h3>
✓ We use the operation of subtraction since the terms used is difference. Difference is the result when you subtract numbers.
✓ The symbol for greater than is >. Therefore, you'll have x - 4 > 10 as an answer.