Since the second equation gives a value for a, we can substitute it into the other equation to find a value for B.
Let's substitute b-2 into the first equation wherever there is an a.
a - 3b = 4
(b-2) - 3b = 4
b - 2 - 3b = 4
-2 - 2b = 4
-2b = 6
b = -3
Now let's find a by substituting -3 into either of the equations to find the value of a.
a = b - 2
a = -3 - 2
a = -5
So your solution set is (-5, -3)
Answer:
The correct answer is option A. Base = 11 cm and height = 13 cm
Step-by-step explanation:
It is given that, height of a triangle is 2 cm more than its base.Then height is increased by 2 cm.Then the area of triangle becomes 82.5 cm²
<u>To find the base an d height of original triangle</u>
Let x be the original base 'b' then the height h = x + 2
New height h = x + 2 + 2 = x + 4
Area = bh/2
82.5= (x(x + 4)/2
165 = x² + 4x
x + 4x - 165 = 0
Solving we get x = 11 and x = -15
Take positive value x = 11
Therefore base = 11 and height = x + 2 = 13 cm
The correct answer is option A. Base = 11 cm and height = 13 cm
Complete question :
John and Kamira are playing a game. John's score (J) and Kamira's score (K) after round 1 are shown on the number line.
The score recorded at the end of the first round is 2.
What could this score represent?
Options :
the sum of John's score and Kamira's score
the difference between John's score and Kamira's score
the absolute value of the difference of John's score and Kamira's score
the sum of the absolute value of John's score and the absolute value of Kamira's score
Answer:
the sum of John's score and Kamira's score
Step-by-step explanation:
Given that :
The score recorded at the end of the round is 2
From the attached number line :
John's score = - 5
Kamira's score = 7
Sum = - 5 + 7 = 2
Difference = - 5 - 7 = - 12
Sum of absolute value = 5 + 7 = 12
absolute value of difference = 12
X = 30 I think as angle on straight line = 180 so 180-103 = 77 , 30+43 = 73 , 77+73 = 150 , 180-150= 30 , then opposite angles are the same so therefore x = 30 degrees