Answer:
1st Side: 27 inches, 2nd Side: 23/2, 3rd Side: 67/2
Step-by-step explanation:
Let's solve your problem step by step:
First side should be: 2x+4
Because 2 times the second side =, and 4 longer than that.
Second side should be: x
This is the base of the equation, since all the numbers depend on "x"
Third side should be: (3x+4)-5
Because x + x+4, and the third side is 5 shorter..
We add all and we get 72.
Solve for x.
x=23/2
Now, we can solve for other sides, by doubling it and adding 4.
This is answer is correct, I tried it. :)
<u><em>Answer:</em></u>
<u><em></em></u>
<u><em> 35 miles per hour</em></u>
<u><em /></u>
<u><em>Step-by-step explanation: Showing Work</em></u>
<u><em>This is a fraction equal to</em></u>
<u><em>70 miles ÷ 2 hours</em></u>
<u><em></em></u>
<u><em>We want a unit rate where</em></u>
<u><em>1 is in the denominator,</em></u>
<u><em>so we divide top and bottom by 2</em></u>
<u><em></em></u>
<u><em>70 miles ÷ 2</em></u>
<u><em>2 hours ÷ 2</em></u>
<u><em>= </em></u>
<u><em>35 miles</em></u>
<u><em>1 hour</em></u>
<u><em>= </em></u>
<u><em>35 miles</em></u>
<u><em>hour</em></u>
<u><em>= 35 miles per hour </em></u>
You would answer this question using simultaneous equations, so if m is movies and v is video games, then:
9m + 7v = 65
3m + 5v = 37
9m + 7v = 65
9m + 15v = 111
(minus)
-8v = -46
÷ -8
v = $5.75
Then you can substitute the value of V in to find the value of m, so:
3m + (5 × 5.75) = 37
3m + 28.75 = 37
- 28.75
3m = 8.25
÷ 3
m = 2.75
So you get the answers as Video Games are $5.75 each and Movies are $2.75 each, I hope this helps!
∠B = 52°
Since the triangles are similar then
∠C = ∠S = 56°
∠B = 180° - (72 + 56)° = 52°
Answer:
Step-by-step explanation:
Given

Required
Determine the type of roots
Represent Discriminant with D; such that

D is calculated as thus

And it has the following sequence of results
When
then the roots of the quadratic equation are real but not equal
When
then the roots of the quadratic equation are real and equal
When
then the roots of the quadratic equation are complex or imaginary
Given that
; This means that
and base on the above analysis, we can conclude that the roots of the quadratic equation are complex or imaginary