Answer:
B
Step-by-step explanation:
Hi there!
We're given the measure of <AOC (the big angle) as 90°
and the measure of <BOC as 14° and the measure of <AOB as (3x+46)°
we want to find the value of what x is
because of angle addition postulate, m<AOC=m<BOC+m<AOB
so we can substitute our known values into that equation
90°=14°+3x°+46°
our goal is to isolate the variable of x onto one side
add 14 and 46 together
90°=3x°+60°
subtract 60° from both sides
30°=3x°
divide both sides by 3
10°=x
therefore B is your answer
Hope this helps!
Answer:
Step-by-step explanation:
Allow me to rewrite your question and hope it will fit the original one:
<em>Jackson recorded the growth of a plant over 10 weeks. The equation </em><em>y=0.25x+4</em><em> represents the height y in inches over time x in weeks what does the y intercept represent In terms of the situation</em>
My answer:
As we know that y intercept is the value of y at the point where the line crosses the y axis (the value of x =0)
So in this situation, if x= 0, it means the height of the tree (y-intercept) initially be at 4 at week 0.
Hope it will find you well.
Answer:
45
Step-by-step explanation:
AEF is a similar triangle to ABC. that means it has the same angles, and the sides (and all other lines in the triangle) are scaled from the ABC length to the AEF length by the same factor f.
now, what is f ?
we know this from the relation of AC to FA.
FA = 12 mm
AC = 12 + 28 = 40 mm
so, going from AC to FA we multiply AC by f so that
AC × f = FA
40 × f = 12
f = 12/40 = 3/10
all other sides, heights, ... if ABC translate to their smaller counterparts in AEF by that multiplication with f (= 3/10).
the area of a triangle is
baseline × height / 2
aABC = 500
and because of the similarity we don't need to calculate the side and height in absolute numbers. we can use the relative sizes by referring to the original dimensions and the scaling factor f.
baseline small = baseline large × f
height small = height large × f
we know that
baseline large × height large / 2 = 500
baseline large × height large = 1000
aAEF = baseline small × height small / 2 =
= baseline large × f × height large × f / 2 =
= baseline large × height large × f² / 2 =
= 1000 × f² / 2 = 500 × f² = 500 ×(3/10)² =
= 500 × 9/100 = 5 × 9 = 45 mm²
Answer:
116.87
Step-by-step explanation:
c=
#4) 1/6
#5) 1/2
#6) 4/15
#7) 8/15
#8) 11/15
#9) 12
#10) 15
#11) 112
Explanation
#4) There is one section marked 5 out of 6 sections.
#5) There are three odd-numbered sections out of 6 sections.
#6) 2 blue were tossed 4 times out of 15 tosses.
#7) 1 blue and 1 pink were tossed 8 ties out of 15 tosses.
#8) All blue was tossed 4 times out of 15; this means that all blue was not tossed 15-4=11 times out of 15.
#9) There are 4 choices for location and 3 choices for transportation; 4(3) = 12.
#10) There are 3 choices for level and 5 choices for character; 3(5) = 15.
#11) Since 30% are rock, 100%-30% = 70% are not rock. 70% = 70/100 = 0.7; 0.7*160 = 112.
