Answer:
y + 8 > 0.5
Step-by-step explanation:
Let's take a look at each one individually to see whether y = 9 is a possible value for the inequality. First, we'll check out y + 8 < 0.5. If we replace y with 9, we get 9 + 8 < 0.5. 9 plus 8 is 17, so now we have 17 < 0.5. That's not true, because 17 is not smaller than 0.5. So we know that this option is incorrect.
Next, let's look at -y + 8 > 0.5. We replace y with 9 and get -9 + 8 > 0.5, or -1 > 0.5. This isn't true either! -1 is <em>smaller</em> than 0.5, not greater. So this isn't the option either.
We'll now look at y + 8 > 0.5. If we replace y with 9, we get 9 + 8 > 0.5 or 17 > 0.5. This is true, so we can be confident that this is the correct answer! Let's just test the last answer for good measure though.
Is -9 + 8 greater than -0.5? Well, -9 plus 8 is equal to -1, and -1 is <em>not</em> greater than -0.5. So we were correct. y + 8 > 0.5 is true when the value of y is 9.
The information to fill one the box regarding the proof include:
- AB = CD
- AD = CB
- BD is common to both triangles
<h3>How to illustrate the proof?</h3>
It should be noted that when two triangles of each corresponding sides are equal, then it's said that they are similar.
Here AB = CD, and AD = CB as they illustrate the fact that they are parallel.
Learn more about flowchart proof on:
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Answer:
Step-by-step explanation:
These problems are based on triangle ratios. You cannot use the Pythagorean theorem to solve them.
The first triangle is a 45 45 90 degree triangle (I'm talking about the angles), and so, the ratio is 1:1:
, so I have to divide the hypotenuse by to get the legs. The hypotenuse is 15
, so that divided by is 15
. X is the same length as y because of the triangle ratio, so both x and y for the first triangle are 15.
The second triangle is a 30 60 90 degree triangle, so the ratio is x:x
:2x. The short leg is 7, so 7 * 2 is the hypotenuse, which is 14. The long leg is 7 * , which is 21. So, x for the second triangle is 14, and y for the second triangle is 21.
Answer:
a = (-7)
Step-by-step explanation:
Firstly clear the bracket...,
-6(-2 + a) = 12 - 6a
Then substitute the simplified version in place of bracket...,
; 12 - 6a = 54
; -6a = 54 - 12
; -6a = 42...then divide both sides by (-6)
Therefore...., a = (-7)
