A) 9/24
Step One: Simplify all of the fractions
9/24 = 3/8
15/20 = 3/4
3/16 = 3/16
1/5 = 1/5
Step Two: Fine the answer that simplifies to 3/8
<h2>option b. 52, 48 and 20</h2>
Step-by-step explanation:
<u>let's solve:-</u>
- To test whether given this triangle is right triangle or not, we can use the Pythagorean Theorem .
soo
Pythagorean Theorem=

<h2>_____________________________________</h2>
Here:-

Putting values:-

<h2>_____________________________________</h2>
<u><em>Answers:</em></u>
The corresponding angles of the triangles are congruent
The image is a reduction of the pre-image
Neither the dilation nor the rotation change the shape of the triangle
<u><em>Explanation:</em></u>
<u>For shapes to be similar:</u>
1- there should be a ratio between the sides
2- angles in first shape should be congruent to angles in second shape
Now, a scale factor of 0.2 means that the sides of the image are 0.2 of the length of the original shape. However, angles are not changes
<u>Let's check the choices:</u>
<u>1- </u><span><u>The corresponding sides of the triangles are congruent:</u>
This option is incorrect as dilation changes the lengths of the sides
<u>2- </u></span><span><u>The corresponding angles of the triangles are congruent:</u>
This option is correct as neither dilation nor rotation alters the measures of the angles
<u>3- </u></span><span><u>The corresponding sides of the image are 5 times as long as those of the pre-image:</u>
This option is incorrect as the sides of the image are only 0.2 times as long as those of the pre-image
<u>4- </u></span><span><u>The image is a reduction of the pre-image:</u>
This option is correct as the sides of the image are 0.2 times those of the pre-image which means that the shape is reduced
<u>5- </u></span><span><u>Neither the dilation nor the rotation change the shape of the triangle:</u>
This option is correct as both dilation and rotation are rigid transformations that do not alter the shape of the triangle (a triangle remains a triangle only with different side lengths)
<u>6- </u></span><u>The rotation reduces the size of the triangle:</u>
This option is incorrect as rotation does not alter the size of the shape. It only changes its position
Hope this helps :)
To find the discount of an item you put the rate which is 25% over 100 and move the decimal point to the right this would leave you with 0.25.You then times $40 by 0.25 which leaves you with $10 so $10 is your discount.
To find the sales price of the dress you subtract the discounted price from the original price so it would be $40-$10 which is $30 so your sales price is $30.
Answer:
36 feet.
Step-by-step explanation:
We have been given that a ball is thrown upward from ground level. Its height h, in feet, above the ground after t seconds is
. We are asked to find the maximum height of the ball.
We can see that our given equation is a downward opening parabola, so its maximum height will be the vertex of the parabola.
To find the maximum height of the ball, we need to find y-coordinate of vertex of parabola.
Let us find x-coordinate of parabola using formula
.



So, the x-coordinate of the parabola is
. Now, we will substitute
in our given equation to find y-coordinate of parabola.






Therefore, the maximum height of the ball is 36 feet.