Answer:
This ratio is 0.6.
Step-by-step explanation:
This ratio is:
gold 37.5%
-------- = ----------- = -0.6
nickel 62.5%
By geometric and algebraic properties the angles BTC, TBC and TBC from the triangle BTC are 128°, 26° and 26°, respectively.
<h3>How to determine the angles of a triangle inscribed in a circle</h3>
According to the figure, the triangle BTC is inscribed in the circle by two points (B, C). In this question we must make use of concepts of diameter and triangles to determine all missing angles.
Since AT and BT represent the radii of the circle, then the triangle ABT is an <em>isosceles</em> triangle. By geometry we know that the sum of <em>internal</em> angles of a triangle equals 180°. Hence, the measure of the angles A and B is 64°.
The angles ATB and BTC are <em>supplmentary</em> and therefore the measure of the latter is 128°. The triangle BTC is also an <em>isosceles</em> triangle and the measure of angles TBC and TCB is 26°.
By geometric and algebraic properties the angles BTC, TBC and TBC from the triangle BTC are 128°, 26° and 26°, respectively.
To learn more on triangles, we kindly invite to check this verified question: brainly.com/question/2773823
Answer:
87/56
Step-by-step explanation:
Simplify the following:
3/56 + 3/2
Put 3/56 + 3/2 over the common denominator 56. 3/56 + 3/2 = 3/56 + (28×3)/56:
3/56 + (28×3)/56
28×3 = 84:
3/56 + 84/56
3/56 + 84/56 = (3 + 84)/56:
(3 + 84)/56
3 + 84 = 87:
Answer: 87/56
<span>$8.22h ≥ $623
Let's look at the options and see what works and what doesn't.
$8.22h > $623
* This inequality mostly works and it's true. But there may be a better choice later. So let's hold off on this one.
$8.22h ≤ $623
* That less than or equal has issues. Let's buy the bike if I have less money than what's needed? Nope, not gonna work. Although that equal portion does have an element of truth to it. But this is a bad choice.
$8.22h ≥ $623
* And this third option is better than the first. It simply says that you have to have enough or more money to buy the bike. The 1st equation basically said you have to have more money than the cost of the bike. So this is the correct choice.
$8.22h < $623
* This is worse than the 2nd option. In a nutshell, is says buy the bike when you don't have enough money. So bad choice.</span>