An A-frame house or other A-frame building is an architectural house or building style featuring steeply-angled sides (roofline) that usually begin at or near the foundation line, and meet at the top in the shape of the letter A. An A-frame ceiling can be open to the top rafters. Q1.If the base and height of front triangle is expressed as an expression 3x-4 units and 2x+18 units. for what value of x, the base of triangle will be equal to its height?
(a) 5 (b)15 (c)22 (d)18
Q2.If x is the number of people visited this house on Sunday and is represented by an algebraic eqation 8x-4=3(x-1)+29,find the number of people visited on that day?
(a)3 (b)8 (c)5 (d)6
Q3.If Rs x is the total cost of staying at this house for 1 hour is expressed by the equation
2x/3-4=7x/15+1,find the rate for 10 hours
(a)Rs 240 (b)Rs 200 (c)Rs150 (d)Rs210

step-by-step explanation:

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it

if farmer matt works for 8 hours a day, how many days will it take him to completely plant 12 rows of crops? each batch of cookies needs 3/4 cups of sugar.

step-by-step explanation:

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: