Answer:
units
Step-by-step explanation:
Use the Pythagorean Theorem: a^2 + b^2 = c^2
you have that a = 16 and c = 23, so:
16^2 + b^2 = 23^2
256 + b^2 = 529
b^2 = 273
b =
Answer:
<h2><u>The amount paid to an employee was </u><u>
162</u></h2>
Step-by-step explanation:
<h2><u>The expression 12h + 30w Identifies the amount paid to an employee.</u></h2><h2><u>Let h represent hours and let w represent the total amount of g-wagons sold. </u></h2><h2><u>Since the question explains that an employee works 6 hours and sells 3 wagons, put h as h = 6 and w as w = 3. We would end up getting this equation. 12h + 30w = 12(6) + 30(3).</u></h2><h2><u>Now all you need to do is solve it.</u></h2><h2><u>left side = 72</u></h2><h2><u>right side = 90</u></h2><h2><u>
72 + 90 =</u><u> 162</u></h2>
Answer:
22) 22
23) -350
Step-by-step explanation:
22)
1/4 = 0.25 ft
5.5 / 0.25 = 22
Answer: 22 tiles are needed
23)
12(x + 360) = 120
x + 360 = 10
x = - 350
Answer:
4x^2 + 4x -2
Step-by-step explanation:
Use FOIL to solve (x+2) (x+2)
4(x^2 + 4x +4) - 6
4x^2 + 4x -2
As you can see, angle 5 and angle 6 are supplementary. And angle 5 and angle 3 are congruent because they are alternate interior angles.
So it will be
x+2 = 180- x+3
move x over from the right to the left
2x+2 = 183
move 2 over from the left to the right
2x = 181
divide by 2
x= 90.5
and angle 3 and angle 1 are vertical angles so they are congruent. Using the angle 3 formula to solve for the answer:
90.5+3 =93.5
When angles are congruent, their measures are congruent, therefore, measure of angle 1 is 93.5
