Answer:
Step-by-step explanation:
Triangle XYZ is a right angle triangle.
From the given right angle triangle
XZ represents the hypotenuse of the right angle triangle.
With ∠34 as the reference angle,
YZ represents the adjacent side of the right angle triangle.
XY represents the opposite side of the right angle triangle.
To determine x, we would apply the Cosine trigonometric ratio
Cos θ = opposite side/hypotenuse. Therefore,
Cos 34 = x/28
x = 28Cos34 = 28 × 0.8290
x = 23.212
To the nearest tenth, it becomes
23.2
Answer: 4/25 ILY <3
Step-by-step explanation:
Answer:
$263.25
Step-by-step explanation:
1) 1053 * 0.25 = 263.25
2) Elizabeth is paid $263.25
Answer:
True, False, False, False
Step-by-step explanation:
I'll find the lengths of all sides of the drawing before answering individual answers so that it's less confusing.
1) The question says that QR is a perpendicular bisector of TS. This means that the length of TQ and QS is the same. Also, since both triangles TRQ and SRQ share the same side RQ, and the angle between the two segments is 90 degrees, the two triangles are congruent (RTQ and RSQ) using SAS.
2) Side RT and TS will have the same length since the two triangles are congruent. (2x+1) = (4x-3) --> -2x = -4 --> x = 2. We can conclude that x = 2.
3) Now that we know that x = 2, we can find the length of side RS by replacing the x with 2. 4(2)-3 is 5, so RS = 5.
4) We can use the Pythagorean theorem to find RQ (Hypotenuse^2 = Other two sides added after being squared individually). Since the hypotenuse of triangle RSQ is RS which is 5, and one side is 4, we can input those into our equation. (5)^2 = (4)^2 + (RQ)^2. --> 25 = 16 + (RQ)^2 --> 9 = (RQ)^2 --> RQ = 3.
5) Since the two triangles RTQ and RSQ are congruent, side TQ and SQ also have the same length, since CPCTC (Corresponding parts of congruent triangles are congruent). QS is 4, so TQ will also be 4. This means that ST will be 8 (4+4). ST = 8
Now that we have all the clues, all we need to do is choose True or False.
RS = 5 is TRUE
RS = 4 is FALSE
ST = 10 is FALSE
QR = 4 is FALSE
<span>Let's analyze our choices:
1. Media messages may translate differently across different media. Let's see here, if a person is reading a newspaper, would they react differently than if they noticed a tweet by their friend online about presidential campaign ads? Yes, they probably would, so this statement is true.
2. When analyzing media, it is important to ask, "Does it work ". If a person told you that the sky is actually pink but Mary Poppins is actually a real person and just makes you think that the sky looks blue, and that they learned this because the news told them so, would you automatically believe them? Not really. :P Therefore option 2 is out of the way.
3. It is important to understand that media messages do not have a goal. HAH! People and messages always have a goal. I think we may have found our false statement, but just to be sure, let's take a look at our last statement.
4. People will perceive media messages differently.
</span>Have you ever watched a debate and thought that one side did a better job than the other, and then your friend starts an argument with you as they think that's total baloney? This statement is true too.
This leaves the only false statement as 3. <span>It is important to understand that media messages do not have a goal.</span>
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