Answer:
Increasing
−5<x<−1
−1<x<1
Decreasing
4<x<7
−8<x<−5
Neither Increasing nor Decreasing
1<x<4
Step-by-step explanation:
Answer: 15 gallons .
Step-by-step explanation:
Step 1
4 quarts = 1 gallon
therefore 60 quarts = (60 quarts x 1 gallon) / 4 quarts
= 15 gallons .
Step 2-- The converted amount which is 15 has fewer units than the original which is 60.
Answer: It is not possible that two triangles that are similar and not congruent in spherical geometry.
Step-by-step explanation:
For instance, taking a circle on the sphere whose diameter is equal to the diameter of the sphere and inside is an equilateral triangle, because the sphere is perfect, if we draw a circle (longitudinal or latitudinal lines) to form a circle encompassing an equally shaped triangle at different points of the sphere will definately yield equal size.
in other words, triangles formed in a sphere must be congruent and also similar meaning having the same shape and must definately have the same size.
Therefore, it is not possible for two triangles in a sphere that are similar but not congruent.
Two triangles in sphere that are similar must be congruent.
Answer:
the missing value is 9.33.
Step-by-step explanation:
given,
length (l) = 3x+2
breadth (b) = 4
perimeter(P) = 68 cm
now,
P = 2(l+b)
or, 68 = 2× ( 3x+2+4)
or, 68 = 2× ( 3x+ 6)
or, 68 = 6x+12
or, 68 - 12= 6x
or, 56 = 6x
or, 6x = 56
or, x = 56/6
or, x = 9.33