<h3>
Answer:</h3>
4) ÷10
5) Yes
<h3>
Step-by-step explanation:</h3>
<em>Question 4</em><em>:</em>
Just take the first number 322 and plug in the choices.
At the end the only one that will finish with all exactly like the pattern is ÷10.
<em>Question</em><em> </em><em>5</em><em>:</em>
We know Logan's watch is still under warranty because,
1 week = 7 days.
6 weeks × 7 days = 42 days
But he has 90 days, so there is still more than 50 days that he can go return it and will get his money back.
<h3>Hope this Helps!!</h3>
:D
Step-by-step explanation:
4x+10
If x=5
4(5)+10
=20+10
=30
The abscissa of the ordered pair, that is the x-coordinate, is equal to 1 and the ordinate, the y-coordinate, is equal to -1. In the cartesian plane, this point lies in the fourth (IV) quadrant. The standard position of the angle is that which has one of its side is in the x-axis.
Solve for the hypotenuse of the right triangle formed.
h = sqrt((-1)² + (1)²) = √2
Below items show the calculation for each of the trigonometric functions.
sin θ = opposite/hypotenuse = y/h = (-1)/(√2) = -√2/2
cos θ = adjacent/hypotenuse = x/h = (1)/√2 = √2/2
tan θ = opposite/adjacent = y/x = -1/1 = -1
Answer:
x = 8
y = 29
Step-by-step explanation:
By verticle angles theorem, the angles with the measure of ( 4x + 17 ), and the angles with the measure of ( y + 20 ) are equal.
Verticles angles theorem states, when two lines intersect, there are four angles formed. The angles opposite to each other will have the same measure or congruent measures.
Hence one can say that;
4x + 17 = y + 20
Inverse operations;
4x + 17 = y + 20
-17 -17
4x = y + 3
-3 -3
4x - 3 = y
Assuming that lines "m" and "n" are parallel, then the angles with the measure of ( 5x + 9 ) and the angles with the measure of ( y + 20 ) are congruent.
When two lines are parallel and are intersected by another line (transversal line), then the angles that are alternate and interior are congruent, in other words, the same measure.
Based on that, one can say;
5x + 9 = y + 20
Earlier it was found that;
y = 4x - 3
Now substitute that into the previous equation, and solve using simplification and inverse operations;
5x + 9 = 4x - 3 + 20
5x + 9 = 4x + 17
-9 -9
5x = 4x + 8
-4x -4x
x = 8
Back solve to find y
y = 4x - 3
y = 4(8) - 3
y = 32 - 3
y = 29
123.4651163 or rounded to 123.47
