Answer:
Step-by-step explanation:
hello :
y= 5x + 9
y = -x +3
so : 5x+9 = -x+3
5x+x= 3-9
6x=-6
x=-6/6 = -1
Answer:
11, 13, 17, 19
Step-by-step explanation:
If you look at the prime numbers chart between 10 and 20, there are:
11, 13, 17, 19
Those are all of the prime numbers that are between 10 and 20.
Answer:
1,-10 and 2,-8
Step-by-step explanation:
If you substitute each answer choice:
6+-10=4
12+-8=4
12+8=4
6+2=4
The only ones that would make sense are the first and second one.
The given two polygons are similar to one another ~
Sides of the given polygons are in ratio of :
to put in simple Ratio ~
So, the sides of the larger polygon are :
Now, to find the Perimeter of larger polygon ~ add the side length of all sides :
Answer:
Yes
Step-by-step explanation:
In order to determine if a triple of values will form a triangle, we must apply the Triangle Inequality Theorem, which states that for a triangle with lengths a, b, and c:
a + b > c
a + c > b
b + c > a
Here, let's suppose that since the ratio of the sides is 3 : 4 : 5, then let the actual side lengths be 3x, 4x, and 5x, where x is simply a real value.
With loss of generality, set a = 3x, b = 4x, and c = 5x. Plug these into the Triangle Inequality to check:
a + b > c ⇒ 3x + 4x >? 5x ⇒ 7x > 5x ⇒ This is true
a + c > b ⇒ 3x + 5x >? 4x ⇒ 8x > 4x ⇒ This is also true
b + c > a ⇒ 4x + 5x >? 3x ⇒ 9x > 3x ⇒ This is true
Since all three conditions are satisfied, we know that a true triangle can be formed given that the ratio of their sides is 3 : 4 : 5.
<em>~ an aesthetics lover</em>
