What is the inequality for 3 times a number increased by 14 is at most 50
1 answer:
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Answer:the length of line segment AC is 14
Step-by-step explanation:
The diagram is shown in the attached photo
Since Angle A B C and B C A are congruent. It means that they are equal. An isosceles triangle is a triangle that has two equal sides and two equal base angles. Since Angle A B C and B C A are equal, it means that the triangle is an isosceles triangle. It also means that sides AC and AB are equal. The expression becomes
3x - 7 = 2x
3x - 2x = 7
x =7
To determine the length of line segment AC. We will substitute x = 7 into 3x - 7. It becomes
3×7 - 7 = 21 - 7 = 14
Answer:
Step-by-step explanation:
25 - 3x = -5(1 - x) - 2x
<u></u>
<u>We have to first get rid of the parenthesis:</u>
==> -5
==> 5x
<u>So now you should have:</u>
25 - 3x = -5 + 5x - 2x
<u>Combine like terms:</u>
25 - 3x = -5 + 5x - 2x
25 - 3x = -5 + 3x
<u>Add 3x to both sides:</u>
25 - 3x = -5 + 3x
+ 3x = + 3x
<u>And you should have:</u>
25 = -5 + 6x
<u></u>
<u>Add 5 to both sides:</u>
25 = -5 + 6x
+5 = +5
30 = 6x
<u>Divide 6 to both sides:</u>
=
5 = x
Simple,
using the Pythagorean Theorem...
You have the hypotenuse (C) and one of the legs (A)
So, plug in what you know...
144+
=400
Now,isolate
-144 -144
Leaving you with...
So, now,
, to find what b is..
b=16
Thus, your answer.
using the Pythagorean Theorem...
You have the hypotenuse (C) and one of the legs (A)
So, plug in what you know...
144+
Now,isolate
-144 -144
Leaving you with...
So, now,
b=16
Thus, your answer.