Answer: The gradient of the line passing through is 3, thus the equation of the line becomes y=3x-4.
Step-by-step explanation: The parallel lines gradients that have similar gradients, so now we have the gradient of 3 because its similar to the other gradient. To get the equation of the line we use this equation: y=mx+c, we have to substitute the x and y to get the constant c.
5=3(3)+c
c= -4
y=3x+c
Answer:
C.) 5, 12, 13
Step-by-step explanation:
In a right triangle, the sum of the squares of the two shorter sides must equal the square of the longest side (Pythagoras).
a² + b² = c²
We can test each set of numbers to see which one fits.
A.) 8² + 12² = 16²
64 + 144 = 256
208 ≠ 256
B.) 6² + 7² = 8²
36 + 49 = 64
85 ≠ 64
C.) 5² + 12² = 13²
25 + 144 = 169
169 = 169
The numbers 5, 12, and 13 could represent the lengths of the sides of a right triangle.
D.) 16² + 32² = 36²
256 + 1024 = 1296
1280 ≠ 1296
Answer:
m = -1/3
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Step 1: Write equation
x + 3y = 10
Step 2: Convert to slope-intercept form
3y = 10 - x
y = 10/3 - x/3
We see that our slope would be the term -1/3x. Since <em>m</em> is the coefficient of <em>x</em> and our slope, our slope <em>m</em> = -1/3
The two similar triangles are triangle BXY and triangle BAC. Since line XY is parallel to segment AC, angle BXY is congruent to angle A, and angle BYX is congruent to angle C. Since two corresponding angles are congruent, we use one of our similarity conjectures, Angle-Angle, to show these triangles are congruent.
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Hope this helps!
Answer:
Step-by-step explanation:
Since the angles both come off of the straight line, they are supplementary, and they add up to equal 180 degrees.
2x + 4x + 24 = 180 and
6x + 24 = 180 and
6x = 156 so
x = 26