Answer:
x = 45
Step-by-step explanation:
The angles labeled with the pink x are the same. Line V and Line X are parallel and alternate interior angles are equal when the lines are parallel.
We know the 3 angles inside the triangle and the sum of the angles of a triangle are 180
x+x+ 2x = 180
4x= 180
4x/4 = 180/4
x = 45
Answer:
Starting from the one on the left.
Upper left:
145 degrees
Down left:
35 degrees
Down right:
145 degrees.
-------------
Now for the right image.
Upper left:
153 degrees
Down left:
27 degrees
Down right:
153 degrees
Step-by-step explanation:
Apply the same steps for the second image as for the first.
One thing to keep in mind is that a flat line (horizontal or vertical), as an angle of 180 degrees.
And another useful reminder is that opposed angles have the same degree.
Starting from the one on the left.
Upper left:
180 - 35 = 145 degree
Down left:
since it is opposed to the upper right angle which is 35 degrees this one is also equal to 35 degrees.
Down right:
since it is opposed to the upper left angle which is 145 degrees this one is also equal to 145 degrees.
You can always double check by making sure one flat side (left or right or up or down), is equal to 180 degrees.
example: on the right image, for the down part, I wrote as answers 27 degrees (for down left because it is opposed to upper right) and 153 degrees (for down right because it is opposed to upper left) => 153 + 27 = 180 degrees
4.16 / 5.20 = 1 / x.....4.16 lbs to $ 5.20 = 1 lb to $x
cross multiply because this is a proportion
(4.16)(x) = (5.20)(1)
4.16x = 5.20
x = 5.20 / 4.16
x = 1.25 per lb <==
Hello from MrBillDoesMath!
Answer:
Choice D, 81
Discussion:
By log 3x = 4 I presume that "3" is the base not a multiplier of x. Assuming it is the base, then the equation is equivalent to
x = 3^4
= 81
This is Choice D.
Thank you,
MrB
Answer:
the width of a rectangular is 3 cm
Step-by-step explanation:
Length L = 10 cm
Perimeter P = 26 cm
Width W = ?
perimeter = 2L + 2W
26 = 2(10) + 2W
26 - 20 = 2W
6 = 2W
W = 6 / 2
W = 3 cm
therefore, the width of a rectangular is 3 cm