We know that
<span>the sum of the internal angles of a triangle is 180 degrees
</span>so
(2x-5)+(4x-1)+30=180
6x+24=180
6x=156
x=26°
the answer is
x=26°
Given:
Expression is
To prove:
If r is any rational number, then is rational.
Step-by-step explanation:
Property 1: Every integer is a rational number. It is Theorem 4.3.1.
Property 2: The sum of any two rational numbers is rational. It is Theorem 4.3.2.
Property 3: The product of any two rational numbers is rational. It is Exercise 15 in Section 4.3.
Let r be any rational number.
We have,
It can be written as
Now,
3, -2 and 4 are rational numbers by property 1.
is rational by Property 3.
are rational by Property 3.
is rational by property 2.
So, is rational.
Hence proved.
Answer:
4 free wedges of cheese
Step-by-step explanation:
From the above question:
3 sticks of butter purchased = 1 free wedge of cheese
12 sticks of butter purchased = x
Cross Multiply
3 × x = 12 × 1
x = 12/3
x = 4 free wedges of cheese
Therefore, when Baby Jr. Buys 12 sticks of butter, she will receive 4 free wedges of cheese.
Answer:
-61
Step-by-step explanation:
We use the distributive property to distribute 6 to both x and 11. This gives 6x+66=-300. Subtracting both sides by 66 gives 6x=-366. Dividing both sides gives x=-61.
Your answer will most likely be D. h > 42 and h must be a positive number. Reasoning: H has to be greater than 42 to ride the ride, and it cannot be a negative number because H has to be greater than 42 and if you make it negative, it will be less than 42
