Answer:
The answer is 'C'
Step-by-step explanation:
Congruent simply means "the same." When a line divides two parralel lines transversals are created. This means that there are angles on both lines that are similar. To fully understand which angles would be the same, I reccommend researching "transversals" for more information, or asking your teacher about it as it is hard to explain without a proper diagram.
C. (-1, -2) would be your answer
That transformation is just a translation (x-2, y-4) from point (1,2)
Answer:
see below
Step-by-step explanation:
9 ^-5 * 9^-3
When multiplying these we ADD the exponents:
9^-5 * 9^-3
= 9^(-5 + -3)
= 9 ^-8
= 1/9^8 Option A
2. 2^14 / 2^7 This is a division so we SUBTRACT the exponents:-
= 2^(14 - 7)
= 2^7 (answer)
3. If the triangle is a right angled one then it will obey Pythagoras Theorem so:-
13^ = x^2 + 5&2
x^2 = 13^2 - 5^2
x^2 = 144
x = 12 (answer)
4. The last choice is a crucial step.
The total area of the triangles is the same in both large squares so the area of the large square e^2 = a^2 + b^2 ( the 2 squares in the left side large square).
3x+15x = 180
18x = 180
x = 10
10(x+y) + 3x = 180
10x + 10y + 3x = 180
13x + 10y = 180
13(10) + 10y = 180
130 + 10y = 180
10y = 50
y = 5
John wanted to go on a train. the equation y=9/5 x describes the number of miles y that a train travels in x minutes. what is the constant speed of the train in terms of hours?
The constant speed of the train is 108 miles per hour
