Given:
BD is parallel to XY.
One of the angle is 85°
To find:
The value of y.
Solution:
Parallel lines BD and XY cut by a transversal line.
Angle y and 85° are alternate interior angles.
Alternate interior angle theorem:
If two parallel lines are cut by a transversal line, then the pairs of alternate interior angles are congruent.
⇒ y = 85°
The value of y is 85.
Answer:
y=0
Step-by-step explanation:
Rewrite Evaluate Powers:
3
Calculate:
Solve using substitution:
Solve the equation for t:
t=-3
t=1
Substitute back to t=3^y
3^y=-3
3^y=1
y∉R
y=0
Answer:
f(x) = x² +x -6
Step-by-step explanation:
The standard form will look like ...
f(x) = x² +bx +c
where b is the opposite of the sum of the roots, and c is their product.
f(x) = x² -(-3+2)x +(-3)(2)
f(x) = x² +x -6
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<em>Additional comment</em>
In general, "standard form" is ax²+bx+c. In this case, the coefficient 'a' can be 1 since neither of the roots is expressed as a fraction. The sum of roots is (-b/a) and the product of roots is (c/a).
Answer:
He jogs 4 9/10 kilometers in 6 1/8 minutes
Step-by-step explanation:
If you multiple 4/5 time 6 1/8 you'll get 4.9, which in fraction form is 4 9/10.
Answer:
A and B
Step-by-step explanation:
When rotating a point (or any shape around a certain point), none of the diameters of the shape will change. So for example, with this circle, when you rotate it around a point, the radius and circumference will not change because it has just rotated. It wont be on the x-axis though because point P is not on the x-axis an it is being rotated 180 degrees about point P. Just know that when you are rotating, nothing about the shape changes, all angles or measurements will be the same, it is just moving to a different place.
Hope this helped ^-^
