Answer:
8
Step-by-step explanation:
we can say that AD is congruent to DC
so your equation for x is: 4x - 1 = 2x
solve this to get x = 0.5
plug x into and equation and multiply you answer by 2 to find the hypotenuse of triangle ABC and DEF
4(0.5) - 1 = 1
hypotenuse: 1 x 2 = 2
since we know x is 0.5, plug this into 4x + 1 to find the length of the leg FE,
4(0.5) + 1 = 3
In the diagram, it shows that the legs of triangle are congruent
this means that FE, ED, BA, and BC are all congruent
since we know FE is 3, we know that all the other sides are 3 as well
this means that the perimeter of the triangle is: leg + leg + hypotenuse
so 3 + 3 + 2
the perimeter is 8
The total price for the gallons of paint will be 35.75p
The total price for the rollers will be 6r
So the equation if the customer have 190 will be
price for gallons of paint + price for rollers = 190
35.75p + 6r = 190
<em>(This is the equation)</em>
Answer:
Option d - Equality
Step-by-step explanation:
To find : What sign of a null hypothesis must always include?
Solution :
The Null hypothesis is defined as a statement about the population that either is believed to be true or is used to put forth an argument unless it can be shown to be incorrect beyond a reasonable doubt.
The Null hypothesis represent by 
always has a symbol with an equal in it.
Therefore, Option d is correct.
Equality sign of a null hypothesis must always include.
Option C: 1 is the simplification of the expression 
Explanation:
The given expression is 
We need to simplify the given expression.
<u>Simplification:</u>
To simplify the given expression, let us apply the exponent rule,
where 
Thus, the the exponent rule
means that any value (except zero) to the power of zero is equal to one.
Thus, the expression
becomes,

Therefore, the simplified expression is 1
Hence, Option C is the correct answer.
Answer:
A
Step-by-step explanation:
We are given that:

And we want to find:

Remember that tangent and cotangent are co-functions. In other words, they follow the cofunction identities:

Therefore, since tan(θ) = 1.3 and cot(90° - θ) = tan(θ), then cot(90° - θ) must also be 1.3.
Our answer is A.