Answer:
We know that:
If T = area of the triangle
and R = area of the rectangle:
I T - RI < 4.
Now, we know that:
T = 8*6/2 = 8*3 = 24
R = 4*(x - 4) = 4*x - 16
Then replacing those values, we can write:
I24 - (4*x - 16)I < 4
I40 - 4*xI < 4
Now let's solve it:
First we aim for the first value that is not a solutions, this is when:
I40 - 4*xI = 4
we can write this as:
40 - 4*x = +-4
The first extreme is:
40 - 4*x = +4
x = (40 - 4)/4 = 9
The other extreme is:
40 - 4*x = -4
x = (40 + 4)/4 = 11.
Then the set of solutions is: S = (9, 11)
Let's figure out the other angle in each triangle.
A triangles' angles add up to 180°, so
XYZ has angles measuring 29, 54, and <u>97</u>°.
X'Y'Z' has angles measuring 29, <u>59</u>, and 92°.
All dilations are similar, meaning that if you shrink one down to the size of the other, they will be the same. Consider two triangles that have been dilated. The sides have changed but the angles are the <u>same</u>.
Triangle XYZ and triangle X'Y'Z' have angle measures that are not the same, therefore they are not similar. All dilations are similar, so X'Y'Z' cannot be a dilation of XYZ.
Answer:
$ 8,000
Step-by-step explanation:
Let x be the donation before 2 years ago,
∵ Last year, donations were 10% greater than a year before,
⇒ Donation in last year = x + 10% of x
= x + 0.1x
= 1.1x
Now, the donation is 15% greater in this year than last year,
So, the donation in this year = 1.1x + 15% of 1.1x
= 1.265x
According to the question,
1.265x = 10,120
Hence, 2 years ago it was raised $ 8,000.
Answer:
The additive inverse of 2 is -2.
Step-by-step explanation:
