Answer:
CD = 45
Step-by-step explanation:
CE = 180
( x + 6 ) + ( 4x - 21 ) = 180
5x - 15 = 180
5x = 195
x = 39
substitute x in CD
CD = x + 6
CD = 39 + 6
CD = 45
Answer:
The area (A) of a triangle varies jointly as its ba
se (b) and height (h). If its base is 8 inches and i
ts height is 7 inches, it has an area of 28 square
inches. Find the base if its height is 5 inches an
5
d its area is 16 square inches.
Formulate the equation of variation.
Step-by-step explanation:
Make an equation system based on the problem
eg. a is the first number and b is the seond number
An equation for "<span>The sum of two numbers is 53" is
</span>⇒ a + b = 53
An equation for "<span>twice the first number minus three times the second number is 26"
</span>⇒ 2a - 3b = 26
<span>
Solve the equations by elimination and subtitution method
Eliminate a to find the value of b
a + b = 53 (multiplied by 2)
2a - 3b = 26
--------------------------------------
2a + 2b = 106
2a - 3b = 26
------------------- - (substract)
5b = 80
b = 80/5
b = 16
Subtitute the value of b to one of the equations
a + b = 53
a + 16 = 53
a = 53 - 16
a = 37
The numbers are 16 and 37</span>
Answer:
(0, -3), (2, 1)
Step-by-step explanation:
Solve this by solving for the first variable in one of the equations, then substitute the result into the other equation.
Answer:
Javier has 27, Tommy has 16
Step-by-step explanation:
43-11=32
32/2=16
16+11=27
Check: 27+16=43
