3.2x-9.6=-.4x+1.2
3.2x=-.4x+10.8
3.6x=10.8
X= 3
<u>The value of the expression is -35.</u>
<u>Step-by-step explanation:</u>
<u>Consider the provided expression.</u>
<u>3x + y </u>
<u>We need to find the value of the expression for x=13 and y=−74 .</u>
<u>Substitute the value of x=13 and y=−74 in the above expression as shown:</u>
<u>3 (13) + (-74)</u>
<u>39 - 74 </u>
<u>-35</u>
<u> the value of the expression is -35.</u>
Answer:
7 laps
Step-by-step explanation:
9514 1404 393
Answer:
∠CAB = 28°
∠DAC = 64°
Step-by-step explanation:
What you do in each case is make use of the relationships you know about angles in a triangle and around parallel lines. You can also use the relationships you know about diagonals in a rectangle, and the triangles they create.
<u>Left</u>
Take advantage of the fact that ∆AEB is isosceles, so the angles at A and B in that triangle are the same. If we call that angle measure x, then we have the sum of angles in that triangle is ...
x + x + ∠AEB = 180°
2x = 180° -124° = 56°
x = 28°
The measure of angle CAB is 28°.
__
<u>Right</u>
Sides AD and BC are parallel, so diagonal AC can be considered a transversal. The two angles we're concerned with are alternate interior angles, so are congruent.
∠BCA = ∠DAC = 64°
The measure of angle DAC is 64°.
(Another way to look at this is that triangles BCE and DAE are congruent isosceles triangles, so corresponding angles are congruent.)
First fold of a piece of paper produces two smaller pieces of paper
Second fold of the resulting pieces of paper produces 4 smaller pieces of paper.
Third fold of the resulting pieces of paper produces 8 smaller pieces of paper.
Thus, the five letter size pieces of paper folded three times produces 8 x 5 = 40 notes.
Thus, one notepad consists of 40 notes.
If someone wrote ten notes per day, then one notepad will last for 4 days.
