Answer:
Pythagorean Theorem Statement is below.
Therefore the value of x is 9 m.
Step-by-step explanation:
Given:
Label the vertices as A , B , C shown in figure below such that
∠A = 90°
AC = Longer leg = 12 m
AB = Shorter leg = x
BC = Hypotenuse = 15 m
To Find:
x = ?
Solution:
Pythagorean Theorem :
Pythagorean Theorem States that "the square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides".
Which can be Written as
OR
i.e 
Substituting the values AB ,AC, BC we get
Therefore the value of x is 9 m.
Alex finally had $(x+110) amount of money in his account i.e. He had $100 more then before!
<u>Step-by-step explanation:</u>
Alex wrote checks on Tuesday for $30 and $40. He also made a deposit in his checking account of $180. Let's solve it step by step :
<u>Alex wrote checks on Tuesday for $30 and $40:</u>
Let's suppose Alex initially had x amount of money out of which $30 & $40 is deducted! so left amount of money is $(x-70) .
<u>He also made a deposit in his checking account of $180:</u>
Out of left money $(x-70) , Alex deposited $180 in account so new money = $(x-70) + $180 = $(x+110)
Therefore, Alex finally had $(x+110) amount of money in his account i.e. He had $100 more then before!
Answer:
The answer is Ari, Beth, Cindy
Explanation
Ari
- 2¾ miles is 2.75 miles
- speed of 2½ miles per hour is 2.5 mi/h
DISTANCE = SPEED × TIME
t = d/s
= 2.75/2.5
= 1.1hr
= 66mins
Beth
- 1¾ miles is 1.75 miles
- speed of 1¼ miles per hour is 1.25 mi/h
t = d/s
= 1.75/1.25
=1.4hr
=84mins
Cindy
(Correct me if i am wrong)
Answer:
4.8 miles per hour.
Step-by-step explanation:
Average speed=Total distance/Time taken
=26.2miles/5.5hour
=4.8 miles per hour
Answer:
<h2>107 and 73</h2><h2 />
Step-by-step explanation:
supplementary angle
7x + 9 + 5x + 3 = 180
12x = 180 - 3 - 9
x = 168 / 12
x = 14
plugin x=14 into the equation
= 7x + 9
= 7(14) + 9
= 107°
plugin x=14 into the equation
= 5x + 3
= 5(14) + 3
= 73°
