Mat
27) if ∠a≅∠d and ∠c≅∠f, which additional statement does not allow you to conclude that δabc ≅δdef? look at the first picture.

a) bc≅ef
b)ab≅ef
c)∠b≅∠e
d)ac≅df

28. polygon abcde is congruent to polygon tvsrk.∠vsr corresponds to

a)∠b
b)∠c
c)∠ d
d)∠ a

29) what other information do you need to prove δdac≅bca by asa? look at the second picture.

a)∠acd≅∠cba
b)∠acd≅∠cab
c)∠adc≅∠cba
d)∠adc≅∠cab

30) what additional information is needed to prove δtux≅δdeo by hl? look at the third picture.

a) oe≅ux
b)∠x≅∠o
c)tx≅do
d)∠u≅∠e

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).