Which inequality best represents the description below? "bridget must be at most 5 ft tall" (bridget's height = h) a
h > 5ft
b
h ≤ 5ft
c
h < 5ft
d
h ≥ 5ft

Step-by-step explanation:

Given, h is the height of the bridge

For the bridge to be atmost 5 ft tall means the maximum height of bridge can be is 5 ft and that is attainable.

Given that 5 ft is the maximum then all other possibilities are less than 5ft.

∴ h ≤ 5ft . The correct option is b.

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.