Answer:
There is only one solution. Hoped I helped.
Answer:
x= 13, angle 1= 37, and angle 2= 53
Step-by-step explanation:
So you have 2x+11+1+4x=90 degrees
If you simplify it, it becomes 6x+12=90 degrees
Then, you rearrange; 6x=90-12 or 6x= 78
So then, x=13
For angle 1 its 2x+11= 37 degrees
And angle 2 is 1+4x= 53 degrees
Answer:
Step-by-step explanation:
The angle of 2 is 75 degrees.
Angle 1 = 180 - 75 = 105 degrees
Ok so I heard this question a few times already and couldn't remember how it went so I decided to put my brain to the test, I used my algebra to use and complete it.
If the Earth were shrunk down to the size of a basketball (radius:4.69 inches) the Moon would be a tennis ball (radius: 1.2768 inches, to be exact) 23.5 feet away.
The Sun would be a 42.6-foot sphere (source) located 1.7 miles away.
The closest star, Proxima Centauri, would still be 463,151 miles away – almost twice the distance of the actual moon."
The definition of similar triangles says that 2 triangles are similar if they have the same shape but different size. There are two criteria to check for this:
1) If all angles in one triangle are equal to the angles in another one, then the 2 are equal.
2) If the sides have the same proportions, then the 2 triangles are similar.
1) We have that all the angles of the 2 triangles have an equal angle in the other triangle. In specific, Q is matched to B, P to A and R to C. Hence, since corresponding angles are congruent, the two triangles are similar.
2) Here we are given information about the sides of the triangles, so we will check the second criterion. We form the ratio of the largest sides of each trangle and the shortest sides. 30/5=6. For the shortest sides, 18/3=6. Finally for the middle sides, 24/4=6. Hence, we have that the triangles are similar since the ratios are equal. (it doesn't matter whether we take the bigger or the smaller side as a numerator, as long as we are consistent).
