Hey ! there
Answer:
- Length of x is <u>7</u><u> </u><u>cm</u>
Step-by-step explanation:
In this question we are provided with a right angle triangle having <u>h</u><u>ypotenuse 25</u><u> </u><u>cm </u><u>,</u><u> </u><u>base </u><u>2</u><u>4</u><u> </u><u>cm </u><u>and </u><u>perpendicular</u><u> </u><u>x</u><u> </u><u>.</u> And we are asked to find the <u>length of</u> <u>x </u><u>.</u>
For finding the length of x we'll use Pythagorean Theorem . Pythagorean Theorem states that sum of square of perpendicular and base is equal to the square of hypotenuse in right angle triangle that is ,
<u>Where </u><u>,</u>
- H refers to <u>Hypotenuse</u>
- P refers to <u>Perpendicular</u>
<u>SOLUTION</u><u> </u><u>:</u><u> </u><u>-</u>
Here in the triangle ,
- Hypotenuse is <u>2</u><u>5</u><u> </u><u>cm</u>
- Base is <u>2</u><u>4</u><u> </u><u>cm</u>
- Perpendicular is <u>x</u>
<u>Applying</u><u> </u><u>Pythagorean</u><u> </u><u>Theorem</u><u> </u><u>:</u>
<u></u>
On squaring 24 and 24 we get ,
Subtracting 576 on both sides :
We get ,
Applying square root on both sides :
We get ,
- <u>Henceforth</u><u> </u><u>,</u><u> </u><u>length</u><u> </u><u>of </u><u>x </u><u>is </u><u>❝</u><u> </u><u>7</u><u> </u><u>cm </u><u>❞</u><u> </u><u>.</u>
<u>Verifying</u><u> </u><u>:</u><u> </u><u>-</u>
We are verifying our answer by substituting all the values of hypotenuse , perpendicular and base in Pythagorean Theorem . So ,
- ( 25 )² = ( <u>7</u> )² + ( 24 )²
<u>Therefore</u><u>,</u><u> our</u><u> answer</u><u> is</u><u> correct</u><u> </u><u>.</u>
<h2>
<u>#</u><u>K</u><u>e</u><u>e</u><u>p</u><u> </u><u>Learning</u></h2>
Answer:
f(x) = 9x - 18
Step-by-step explanation:
Moving the graph to the left or right involves directly manipulating the "x" value. When you want to shift the graph to the right, you need to subtract the desired value directly from "x". This would make the equation look like this:
f(x) = 9(x - 2)
However, this can be simplified by multiplying 9 by each term in the parentheses.
f(x) = 9x - 18
Answer:
The additional information required to prove ΔDEF ~ ΔPQR is the value of the ratio DE/PQ which has to be equal to three-halves for ΔDEF to be similar to ΔPQR
Step-by-step explanation:
Given DF/PR = FE/RQ = 3/2
The Side Side Side, SSS, similarity theorem states that where there are two triangles that have corresponding sides that are proportional to each other, the two triangles are said to be similar
Given ΔDEF and ΔPQR, have sides DF/PR = FE/RQ, to prove that ΔDEF and ΔPQR, then the additional information required is the ratio of the third sides of the triangles which is DE/PQ.
If DE/PQ = Three-halves, the two triangles ΔDEF and ΔPQR are similar, if not, that is DE/PQ ≠ Three-halves, then the two triangles ΔDEF and ΔPQR are not similar.
The answer is rounded to the nearest tenth.
A graph is used to visualize data using plots, figures and charts.
The given graph is not misleading
<h3>How to determine if the graph is misleading</h3>
From the figure, we have the following highlights
- The graph is well labelled on both axes
- The y-axis (which represents a numerical data) have a constant interval i.e. the scale is consistent
- All points are properly connected
Using the above properties, we can conclude that the graph is not misleading
Read more about graphs at:
brainly.com/question/15101527