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!
Let us assume base of the window = b feet.
Height is 3 feet less than base, that is = (b-3).
Given area of the triangle = 20 feet square.
We know formula for area of a triangle:
Area =
× Base × Height
Plugging values in formula, we get
20 = 




Factoring quadratic, we get
=0
b+5=0
b=-5
b-8=0
b=8.
For base we can take only positive value.
<h3>Therefore, base of the triangle = 8 feet and height = 8 -3 = 5 feet.</h3>
Answer:
P = 2(x + 5) + 2(2x - 3)
Step-by-step explanation:
GIven that GR= x+5 and GP= 2x-3 which expression below calculates the perimeter of this gate?
The shape of the gate is rectangular.
Hence, the Perimeter of a rectangle (the gate) = 2L + 2W
Where :
L = GR = x + 5
W = GP = 2x - 3
Hence,the perimeter of the gate is
P = 2(x + 5) + 2(2x - 3)
C.
4 (x+7) = 38 represents the tape diagram correctly.
10•8=80
so something times 80 will equal 400
80•5=400