Answer:
Incomplete Question
Step-by-step explanation:
Answer: True
One angle of a right triangle = 90°
Let x = the acute angle of one angle.
Let y = the angle of the other angle.
Because the sum of angles in a triangle is 180°,
x + y + 90 = 180
x + y = 90
y = 90 - x
Therefore the angles for each of the two triangles are
x, 90° - x, 90°.
The two triangles are therefore similar because of AAA (Angle, Angle, Angle).
5x + 2y = 6
3x + y = 4....multiply by -2
-------------
5x + 2y = 6
-6x - 2y = -8 (result of multiplying by -2)
-------------add
-x = -2
x = 2
5x + 2y = 6
5(2) + 2y = 6
10 + 2y = 6
2y = 6 - 10
2y = -4
y = -4/2
y = -2 <=== here it is
Answer:
The probability of selecting both yellow is 5/22.
Step-by-step explanation:
Given the number of yellow marbles = 6
Black marbles = 4
Purple marble = 2
Now find the total number of marbles in the jar.
Thus total marbles = Yellow marbles + Black marbles + Purples marble
Now insert the values in the above formula.
Total marbles = 6 + 4 + 2
Total marbles = 12
The probability of 2 yellow marble:
Thus, the probability of selecting both yellow is 5/22.
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).
