Answer:
The angle (7x-14) and (4x+19) are corresponding angles. Both angles are 63 degrees.
Step-by-step explanation:
Since the two angles are corresponding, they are equal.
7x-14 = 4x + 19
Subtract the 4x on right side to get 19 alone. Do the same on the left side since, whatever you do on one side, you have to do to the other.
3x-14 = 19
Add the -14 on the left side to get 3x alone. Do the same on the right side since, whatever you do on one side, you have to do to the other.
3x = 33
Divide by 3.
x = 11
Don't you mean "the sum of the squares ..."?
The sum of the squares of two consecutive whole numbers is 25. Find the numbers. Let the first be represented by x and the second by x+1.
Then x^2+(x+1)^2=25. Expanding, x^2+x^2+2x+1=25.
Rewriting this as a quadratic equation in standard form,
2x^2+2x+1=25, or 2x^2+2x-24=0. Simplifying, x^2+x-12=0.
Factoring, (x-3)(x+4)=0. Solving for x: x-3=0, so x=3; x+4=0, so x=-4.
Choose the positive x value: x=3. Then the next consecutive number is 2+1=3+1=4.
Check: Does 3^2 + 4^2 = 5^2 = 25? Yes.
The numbers are 3 and 4.
You have to make the denominators (bottom numbers) the same via multiplication, it's best to do it to the first number they meet at. that would be fifteen (15)
5×3=15
3×5=15
you then have to multiply the numerators by the respective numbers.
2×3=6
1×5=5
you then subtract the numerators normally
6-5=1
slap back on the denominator
1/15
there's your answer.
(the number you multiply them by isn't the other denominator, it just happens to be the denominators for this equation)
Answer:
The perpendicular slope would be -1/5.
Step-by-step explanation:
This is because we can locate the slope of the original line as 5 (the number just outside of the x-coordinate parenthesis.
Then we know that perpendicular lines have opposite and reciprocal slopes. So we take the 5 and change the sign (-5), then we flip it (-1/5).
