Answer:
1. Transversal y intersects lines m and n; <1 ~= <2 (Given)
2. <1 ~= <3 (Vertical Angles Theorem)
3. <2 ~= <3 (Transitive Property of Congruence)
4. m || n (Converse of Alternate Interior Angles Theorem)
Answer: he was 84 years old when he died and the fractional part of a century that he live is 21/25
Step-by-step explanation:
General Douglas MacArthur, one of the leading generals in World War II was born in 1880. He died in 1964. The number of years that he lived would be the year he died - the yea he was born. Therefore,
His age when he died
= 1964 - 1880 = 84 years.
The number of years in a century is 100. Therefore, the fractional part of a century that he lived would be
84/100 = 21/25
Answer:
186 and 187
Step-by-step explanation:
Let n be the first integer.
Then n+1 is the next integer.
We are given their sum is 373.
n+(n+1)=373
Combine like terms:
2n+1=373
Subtract 1 on both sides:
2n=372
Divide both sides by 2:
n=186
So n+1=187.
187
+186
--------
373
Answer:
It only counts as a zero when the y-intercept is (0,0).
Step-by-step explanation:
The zeros of a quadratic function are always written as (x,0), while the y-intercept is always written as (0,y). Therefore, in order for a y-intercept to be a zero, it must be (0,0), because the y-coordinate in any zero is 0. At any other time, the y-intercept is not a zero.
Answer:
The 4th one is the least so you would put that as the first one, then the 2nd one, then the 1st one, then the 3rd one.
Step-by-step explanation:
The fourth one is first because 10 to the power of 0 is 0 times 10 to the power of 1 is still 0 minus 1 to the power of 10 is 1 so 0 minus 1 is -1. The second one is second because 10 to the power of 0 times 10 to the power of 1 is 0, times 1 to the power of 10 is still 0. The first one is third in line because 10 to the power of 0 plus 10 to the power of 1 is 10 times 1 to the power of 10 is 10. The third one is last because its the greatist, 10 to the power of 0 plus 10 to the power of 1 is 10 plus 1 to the power of 10 is 11.