Answer:
x = 17°
Step-by-step explanation:
<u>Angles And Parallel Lines
</u>
If two parallel lines are crossed by a third line, corresponding angles are congruent. Also, consecutive angles are supplementary
We can clearly see in the image provided, being w and b parallel, that the corresponding angles (4x-3) and 65° are congruent. We can express that relation as

Operating

So the value of the angle x is 17°
140 is a composite number. Factor pairs: 140 = 1 x 140, 2 x 70, 4 x 35, 5 x 28, 7 x 20, 10 x 14. Factors of 140: 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140. Prime factorization: 140 = 2 x 2 x 5 x 7, which can also be written 140 = 2² x 5 x 7
Y=1 we can check this by looking at the slope of the line: m=

so m=0. By looking at the graph we know our y-int is 1. By plugging in this information into the equation of a line we get the following: y=0x+1. That is y=1
-3(2x-3)<3
(-3(2x-3))(-1)<3(-1)
3(2x-3)>-3
(3(2x-3))/3>-3/3
2x-3>-1
2x-3+3>-1+3
2x>2
2x/2>2/2
x>1
Answer:
3.706 liters
Step-by-step explanation:
Hello
assuming that these measures correspond to the internal measures of the thermos,
we can calculate the volume as, the volume of a cylinder, which is given by

where r is the radius of the base, and h the height
also
Diameter=2r
r=Diameter/2
Step 1
let
h=8 in
base = diameter = 6 inch
r=diameter/2
r=6/2 inch,r=3 inch
Step 2
Put the values into the equation

Step 3
Now, the unit (cubic inches) is not an usual unit for measuring coffee, let´s convert cubic inches into liters by knowing
1 inch = 2.54 cm
1 litro = 1000 cubic centimeters

1 cubic inch = 16.3870 cubic centimeters

Step 4
Finally, convert cubic centimeters into liters
I can put 3.706 liters in the thermos
Have a good day