Answer:
The value of x is 4.
Step-by-step explanation:
It is given that triangle MRN is created when an equilateral triangle is folded in half.
It means original equilateral is triangle MNO and NR is a perpendicular bisector (<em>A line which cuts a line segment into two equal parts at 90°</em>).
The side length of the triangle is
NO = NS + SM = 6 + 2 = 8
Since an equilateral triangle is a triangle in which all three sides are equal and NR is a perpendicular bisector, therefore
RM = MO/2 = 8/2 = 4
The value of x is 4.
Answer:
B. cos−1(StartFraction 11.9 Over 14.5 EndFraction) = θ
Step-by-step explanation:
From definition:
cos(θ) = adjacent/hypotenuse
The adjacent side respect angle GFE (or θ) is side FE, and side FG is the hypotenuse. Replacing with data and isolating θ:
cos(θ) = 11.9/14.5
θ = cos^-1(11.9/14.5)
In this question, we're assuming Ralph had 0 in his saving funds to start with.
The glasses cost 1200 dollars.
There are 12 months in a year.
Each month, Ralph is given his check two times, that means that Ralph receives his check 2(12), or 24, times per year.
Divide 1200 (the cost of the glasses) by 24 (the amount of times Ralph is given his check)
1200 / 24
Divide both numerator and denominator by 12
100 / 2
Simplify
50
Ralph should have put 50 dollars per pay check to pay for the glasses.
A is your answer.
Have an awesome day! :)
Given, there are an average of 150 citizens eat daile in the cafeteria.
The average price of their meals = $5.95.
The discount given for sinior citizens in their meals = 20%
So we have to find 20% of $5.95 first.
20% of $5.95 = 
= 
= 
= 
So, the amount of discount given to the senior citizens = $1.19 per head.
As there are 150 cinior citizens daily.
So total discount given daily = $
=$
So we have got the required answer.
Option C is correct here.
Answer:
Step-by-step explanation:
Below is the rectangle in the attachment.
Current scale:
1 cm : 6 inches
If the dimensions of the rectangle is:
Length = a cm
Width = b cm
Using the scale:
Length = a × 6 inches
Width = b × 6 inches
Using the same dimensions of the rectangle is:
Length = a cm
Width = b cm
Using the scale:
Length = a × 12 inches
Width = b × 12 inches
Note that there is an enlargement of the rectangle to form the new rectangle. The length and width of new rectangle drawn will be 2 × the length and width of the rectangle seen below.
