Answe HINTTTTTTTTTTTTTTTTTTTTTTTT
Step-by-step explanation:
Brainly is erroneously preventing my response from being posted due to nonexistent profanity or links. So, I have converted my answer into an image file, which I have attached. I also attached an annotated diagram of the figure in the image you posted. Please let me know if you have trouble accessing either. Hope this helps.
Answer:
<h2><em>
A = 75 in²</em></h2>
Step-by-step explanation:
We have the rectangle and the right triangle.
The formula of an area of a rectangle:
<em>A = lw</em>
<em>l</em> - length
<em>w </em>- width
We have <em>l = 10 in</em> and <em>w = 5 in</em>. Substitute:
<em>A = (10)(5) = 50 in²</em>
The formula of an area of a triangle:
<em>A = 1/2 bh</em>
<em>b</em> - base
<em>h</em> - height
We have <em>b = 5 in</em> and <em>h = 5 in + 5 in = 10 in</em>. Substitute:
<em>A = 1/2(5)(10)=1/2(50)=25 in²</em>
The area of figure:
<h3><em>
A = 50 in² + 25 in² = 75 in²</em></h3>
Answer:
Step-by-step explanation:
As the two figure are the image and pre-image of a dilation.
Considering the left sided triangle is original and right sided triangle ( smaller one) is the image.
As one of the sides of the left triangle (original figure) is 4 in. And the corresponding length of the side on the right triangle (image of the figure) is 2 in.
It means the image of the side (2 in) is obtained when the side (4 in) of the original object is dilated by a scale factor of 1/2. In other words, the side of the image (2 in) is obtained multiplying the side (4 in) of original figure by 1/2. i.e. 4/2 = 2 in
Lets determine the missing side of the right side triangle by the same rule.
As the original object has one of the sides is 5 in and the corresponding side of the image has x in. As the original figure is dilated by a scale factor of 1/2. so the missing side of x will be: x = 5/2 = 2.5
So, the value of x will be 2.5
Similarly, the original object has one of the sides with length (y + 1 in). As the As the original figure is dilated by a scale factor of 1/2. As the corresponding length of the side of the image triangle is 3 in.
so
y + 1 = 2(3) ∵ 3 in (image side) is multiplied by 2
y + 1 = 6
y = 6 - 1
y = 5
So, the value of y = 5
Therefore,
