Answer:
Statement: ∠XYZ = ∠ABC Reasons: Below
Step-by-step explanation:
For two angles to be complementary means that the sum of the two angles is equivalent to 90°. When an angle has one of those little squares, that means the angle is a right angle, or a 90° angle. Also, since it's given that line segment AB and line segment BC are perpendicular, this means the two lines/line segments cross each other at a right angle, which also proves that line segment AB and BC have a 90° angle.
Answer:
304
Step-by-step explanation: x/760 40/100=
760x40=30,400
30,400 divided by 100=304
Answer:
18 pints
Step-by-step explanation:
As we can see, three pint of yellow paint was mixed with four pint of red paint. Let x represent the number of yellow paint and let y represent the number of red paint. Therefore, the ratio of the two paints is:
x/y = 3/4
x = (3/4)y
To calculate the number of red paints (x) that is needed to be mixed with 24 pints of yellow paint, we use the equation and substitute y as 24. Hence:
x = (3/4)y
x = (3/4) * 24
x = 18 pints
Answer:
The right answer is approximately 210.031 cubic inches. (Answer: E)
Step-by-step explanation:
First, we need to convert the diameter (
), in inches, of the round balloon to an entirely decimal mode:




The volume of the balloon is modelled after the volume function of a sphere (
), in cubic inches:
(1)
If we know that
, then the volume of the round balloon is:



Hence, the right answer is approximately 210.031 cubic inches.
A+a+4+2a-3= 21
combine like terms
1+4a= 21
-1. -1
4a= 20
————
4a. 4
a= 5