Answer:
51 and 91
Step-by-step explanation:
The external angle of a triangle is equal to the sum of the 2 opposite interior angles, thus
(8)
∠ GCD is an external angle of the triangle, so
35° + x = 86° ( subtract 35° from both sides )
x = 51°
(9)
∠ YUV is an external angle of the triangle, thus
x = 29° + 62° = 91°
Answer:
Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
- Slope-intercept form: where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
- Parallel lines have the same slope (m) and different y-intercepts (b)
<u>1) Determine the slope (m)</u>
Rearrange this equation in slope-intercept form (so it's easier for us to identify the slope)
Subtract 6x from both sides to isolate 2y
Divide both sides by 2 to isolate y
Now, we can tell clearly that -3 is in the place of m. Therefore, because parallel lines have the same slope, we know that the line we're solving for will also have a slope of -3. Plug this into :
<u>2) Determine the y-intercept</u>
Plug in the given point (-1,7)
Subtract 3 from both sides
Therefore, the y-intercept of the line is 4. Plug this back into :
I hope this helps!
Answer:
solution of the equation are x = 3 and x = ±√3
Step-by-step explanation:
Given in the question an equation
x² / (2x-6) = 9 / (6x-18)
Step1
cross multiplication
x²(6x - 18) = 9 (2x - 6)
Step2
apply distributive law
6x³ - 18x² = 18x - 54
step3
rearrange the terms
6x³ - 18x² - 18x + 54 = 0
step4
divide by 6
x³ - 3x² - 3x + 9 = 0
x²(x-3) -3(x-3) = 0
(x-3)(x²-3) = 0
Step5
x = 3 and x² = 3
for factor x² = 3
take square root on both sides
√x² = √3
x = ±√3