Answer:
Step-by-step explanation:
Let (2n-1) and (2n+1) be the consecutive, odd numbers.
(2n-1)(2n+1) = 143
4n² - 1 = 143
4n² = 144
n² = 36
n = 6
2n-1 = 11
2n+1 = 13
The numbers are 11 and 13.
Answer:
27.1°C
Step-by-step explanation:
Answer:
y=-5/2x-1
Step-by-step explanation:
change the equation to slope intercept form
y=-5/2x+6
graph the point (-2, 4)
use the slope of the equation to find the y intercept
y intercept = -1
write equation of the parallel line using the same slope of the first line
-5/2x
and the y intercept of the new parallel line -1
y=-5/2x-1
Answer:
Step-by-step explanation:
Answer:
46. ΔQRP ≅ ΔUTV
47. y = 42
48. ∠KMN = 101°
Step-by-step explanation:
46. It is convenient to name the vertices in the order of the number of arc identifying the angle. Corresponding vertices need to be named in the same order in the congruence statement.
47. From the sum of angles of a triangle, you know that ...
x +62 +65 = 180
x = 180 -127 = 53
x - y = 11 since the corresponding sides are the same length
53 - y = 11 . . . . . .substitute the value of x
y = 53 - 11 . . . . . . add y-11
y = 42
48. The exterior angle has the same measure as the sum of the opposite interior angles:
81 +4x = 13x +36
45 = 9x . . . . . . . . . add -4x-36
5 = x . . . . . . . . . . . divide by 9
∠KMN = (13x +36)° = (13·5 +36)° = 101°
