Answer:
x=3
Step-by-step explanation:
We have to use the fact that all angles of a triangle add up to 180 and two supplementary angles add up to 180.
First,QRS forms a line, so angle QRT and angle TRS add up to 180 or, if we call angle TRS y for the sake of having it as a variable, 45x+y=180 or y=180-45x
Now we have all three angles of the triangle, and we know all three add up to 180, so startign with our newly found angle, (180-45x)+(25x)+(57+x)=180
180-45x+25x+57+x=180
237 - 19x = 180
57 = 19x
x=3
Let me know if you need any further explanation.
Answer:
8 and 17
Step-by-step explanation:
Answer:
x = 10√3
Step-by-step explanation:
Because of the right angles, we can use Pythagoras
30² - x² = y² (a) Largest triangle
y² - 20² = h² (b) Medium triangle
substitute y² from (a) into (b)
30² - x² - 20² = h²
500 - x² = h² (d)
x² - h² = (30 - 20)² (c) smallest triangle
substitute h² from (d) into (c)
x² - (500 - x²) = 100
2x² = 600
x² = 300
x = 10√3
Answer:
Sum = 13+ 4i Difference = -5 - 8i
Step-by-step explanation:
Given complex number as (4 -2i) and (9 + 6i)
Sum of these complex number is
(4 -2i) + (9 + 6i) = ( 4 +9) + (6i -2i)
= 13 +4i
Difference of these complex number is
(4 -2i) - (9 + 6i) = (4 -9) - (2i +6i)
= -5 - 8i
Hence the sum and Difference of given complex numbers are
Sum = 13+ 4i Difference = -5 - 8i Answer
