Dividing the first equation by 2
X + 2y = 12
Dividing the equation 2 by 4
-3x + 2y = -4
subtracting both equations
4x = 16
X = 4
Also 4 + 2y = 12
2y = 8
Y = 4
Please mark as brainliest
Answer:
168). C
169). C
170). C
Step-by-step explanation:
For the first angle, it is a right angle, so it measures 90 degrees.
x and 50 are complementary angles, meaning they add up to 90 degrees.
So, subtract 50 from 90 to get 40, which is equal to x.
45 and x are supplementary angles, meaning they add up to 180 degrees.
Subtract 45 from 180 to get 35 degrees, which is the measure of angle x.
All angles in a triangle add up to 180 degrees.
So, 70 + 56 = 126, 180 - 126 = 54.
Since the unknown angle is x - 5, 54 + 5 = 59, which the the measure of angle x - 5.
Answer:
Aaron's bowling score is 30
David's bowling score is 54
Step-by-step explanation:
The variable representing Aaron's score is = a
The variable representing David's bowling score = d
The sum of their scores is 84.
= a + d = 84...... Equation 1
David's bowling score is 6 less than 2 times Aaron's score.
d = 2a - 6
Substituting 2a - 6 for d in Equation 1
a + 2a - 6 = 84
3a - 6 = 84
3a = 84 + 6
3a = 90
a = 90/3
a = 30
Hence, Aaron's bowling score is 30
d = 2a - 6
d = 2(30) - 6
d = 60 - 6
d = 54
David's bowling score is 54
Answer: B
Step-by-step explanation: 45 times (-6) =45 times 6 which equal 270
We know that AB and CD are parallel. This allows many assumptions.
From that we know that angle A and angle D are congruent.
That means that x + 8 = 2x - 22 and we can solve for x
x + 8 = 2x - 22
x + 30 = 2x
30 = x or x = 30
We know from the figure that angle B is x or now that we solved for x is 30 degrees. Also, we know that both angle A and angle D are 38 degrees. Now we can solve for the vertical angle E which has a measure of y degrees. A triangle has the sum of its angles equal to 180 degrees.
We can set up an equation like this 30 + 38 + y = 180
30 + 38 + y = 180
68 + y = 180
y = 112 degrees
That is how you would solve this problem
