Answer:
n = 15.5
Step-by-step explanation:
(4+n)/(43+n) =1/3
3(4+n)= 1*(43 + n)
12 + 3n = 43 + n
3n - n = 43 - 12
2n = 31
n = 31/2= 15.5
Answer:
Triangle P and Triangle Q are mathematically similar shapes (?).
Step-by-step explanation:
Hi, so the question asks which statement is true, given the following information, but you haven't written what statements we can choose from.
After reading the information, we can see that Triangle Q is the same shape as Triangle P but just larger.
I'm assuming that one of the statements given is about Triangle P and Triangle Q being mathematically similar shapes?
If you need to show your working out, here it is:
18 ÷ 6 = 3
24 ÷ 8 = 3
30 ÷ 10 = 3
All the angles are the same.
This means that the length scale factor is +3 from Triangle P to Triangle Q, the area scale factor is +9 (because 3 x 3 = 9) from Triangle P to Triangle Q, and that the two shapes are mathematically similar.
*DISCLAIMER* The majority of question askers on Brainly seem to be from the US, and I'm not, so the way I work things out / the mathematical terms I use might be different. Sorry!
Hope this helped anyway!
Bluey :)
Six hundred seven and four hundred nine one-thousandths.
(-5, 0) and (-1, 0) are the solutions of -2(-x - 3)² + 8 = 0
Step-by-step explanation:
- Step 1: Find the solutions of -2(-x - 3)² + 8 = 0.
Solutions are the intersecting points of y = -2(-x - 3)² + 8 and y = 0.
⇒ Solutions are (-5, 0) and (-1, 0)
- Step 2: (-5, 0) and (-1, 0) are solutions of -2(-x - 3)² + 8 = 0
60 degrees or C. Since the missing angle is the opposite of the 120 degree angle, 180 degrees minus(since that is the amount of degrees in a straight line, and a circle contains 360 degrees) the other angle gives you your answer.