Ivan and tanya share £150 in the ratio 4:1 work out how much more ivan gets compared to tanya
2 answers:
Answer:
<em>Ivan gets £90 more than Tanya.</em>
Step-by-step explanation:
The <u>ratio of Ivan and Tanya's shares</u> is
Suppose, Ivan's share and Tanya's share
The <u>total amount of money</u> is £150. So, the equation will be.....
So, Ivan's share and Tanya's share
Now,
Thus, Ivan gets £90 more than Tanya.
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The first step for solving this equation is to determine the defined range.
, x ≠ 1
Remember that when the denominators of both fractions are the same,, you need to set the numerators equal. This will look like the following:
= 5
Take the root of both sides of the equation and remember to use both positive and negative roots.
x +/-![\sqrt[4]{5}](https://tex.z-dn.net/?f=%20%5Csqrt%5B4%5D%7B5%7D)
Separate the solutions.
x = , x ≠ 1
x = -
Check if the solution is in the defined range.
x =
x = -
This means that the final solution to your question are the following:
x =
x = -
Let me know if you have any further questions.
:)
Remember that when the denominators of both fractions are the same,, you need to set the numerators equal. This will look like the following:
Take the root of both sides of the equation and remember to use both positive and negative roots.
x +/-
Separate the solutions.
x =
x = -
Check if the solution is in the defined range.
x =
x = -
This means that the final solution to your question are the following:
x =
x = -
Let me know if you have any further questions.
:)
Answer:
<em>90 degree</em>
Step-by-step explanation:
Three points A, B, and C are added and shown in attached picture.
As the property of inscribed angle in circle:
angle BAC = (1/2) x 88 = 44 deg
As the property of complement angle:
angle ABC = 180 - 89 = 91 deg
As the property of sum of three angles in a triangle:
angle ACB + angle ABC + angle BAC = 180 deg
=> angle ACB = 180 - angle ABC - angle BAC = 180 - 44 - 91 = 45 deg
One more time, we use the property of inscribed angle in circle:
x = 2 x angle ACB = 2 x 45 = 90 deg
Hope this helps!
