Answer:
See explanation
Step-by-step explanation:
<u>Question 1. </u>Write two-column proof.
Statement Reason
1.
Given
2.
Distributive Property of Equality
3.
Subtraction Property of Equality
4.
Division Property of Equality
<u>Question 2.</u>
Statement Reason
1.
Given
2.
Given
3.
Angle Addition Postulate
4.
Substitution Property of Equality
5.
is a right angle Definition of a right angle
6.
is a right triangle Definition of a right triangle
<u>Question 3:</u>
Statement Reason
1.
and
are supplementary Given
2.
Definition of supplementary angles
3.
Given
4.
Substitution Property of Equality
5.
Subtraction Property of Equality
Answer:
m + 38 less-than 50
Step-by-step explanation:
this what you looking for?
Answer:
Step-by-step explanation:
A and B are the side lengths. C is the hypotenuse (the longest side).
For triangle A)
a^2+b^2=c^2
(it won't let me add exponents but you get the point)
4^2+2^2=c^2
8+4=c^2
12=c^2
c=square root of 12
For B)
a^2+b^2=c^2
2^2+5^2=c^2
4+10=c^2
After solving, it doesnt
add up to 45
We need 500 ml of alcohol mixture and 50 ml of water.
<u>Step-by-step explanation:</u>
The 50% concentration of the final solution is a result of mixing the 55% concentration with water, which is 0% concentration. Multiply the concentration of each liquid times the # of ml you will use, add these and divide by the total ml to get 50%
x = the number of ml of the 55% alcohol mixture
y = the number of ml of water
x + y = 550
Again, the 0 above represents the water which is 0% concentration
= 0.50
0.55 x = 275
x =
= 500
plug 500 into the equation x + y = 550
500 + y = 550
y = 50
Use 500 ml of the 55% solution and 50 ml of water.