Answer:
A) 128
B) 7800
Step-by-step explanation:
Trial and error until I got to 75 x 104 and 60 x 128 (which abides by the fact that there has to be 24 more red boxes) which equals 7800 and 7680 and if you take them away from each other you get 120
Answer:
P = 4
Step-by-step explanation:
2 x 4 is 8
so 13 - 8 = 5
Let us observe the given figure,
When two lines intersect each other, the angles opposite to each other are Vertically Opposite Angles. Vertically opposite angles are always equal in measure.
As, we can observe that the given lines intersect each other, and they form vertically opposite angles as
and ![\angle POS , \angle ROQ](https://tex.z-dn.net/?f=%5Cangle%20POS%20%2C%20%5Cangle%20ROQ)
Therefore, ![\angle POR = \angle SOQ](https://tex.z-dn.net/?f=%5Cangle%20POR%20%3D%20%5Cangle%20SOQ)
Substituting the given measures of the angles, we get
![91-x^\circ = x+ 7^\circ](https://tex.z-dn.net/?f=91-x%5E%5Ccirc%20%3D%20x%2B%207%5E%5Ccirc)
![91-7 = x + x](https://tex.z-dn.net/?f=91-7%20%3D%20x%20%2B%20x)
![84 = 2x](https://tex.z-dn.net/?f=84%20%3D%202x)
![x = \frac{84}{2}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B84%7D%7B2%7D)
So, x = ![42^\circ](https://tex.z-dn.net/?f=42%5E%5Ccirc)
Since, the measure of angle POR = ![(91-x)^\circ](https://tex.z-dn.net/?f=%2891-x%29%5E%5Ccirc)
= ![(91-42)^\circ](https://tex.z-dn.net/?f=%2891-42%29%5E%5Ccirc)
= ![49^\circ](https://tex.z-dn.net/?f=49%5E%5Ccirc)
Therefore, the measure of angle POR is 49 degrees.
Answer: No, your friend is not correct. You cannot use a similarity transformation to turn a square into a rectangle. Here's why:
1) If you used a similarity transformation, the size and position of the shape would change, but the shape itself remains the same.
2) Squares and rectangles are NOT similar.* Referring to the first point I listed, if the shapes are not similar, then a similarity transformation cannot be used to turn one shape into another.
<em>*Similar means that the edges are proportional to one another, such as a square with sides of 4 meters vs a square with sides of 2 meters: the sides are different lengths, but the shape is the same.</em>
I hope this helps! Please feel free to comment below if you need any clarification. Have a good day, and good luck on your assignment. :)
I think it’s B. 7.50+1.50x<_15