<u>Given</u>:
Given that the bases of the trapezoid are 21 and 27.
The midsegment of the trapezoid is 5x - 1.
We need to determine the value of x.
<u>Value of x:</u>
The value of x can be determined using the trapezoid midsegment theorem.
Applying the theorem, we have;

where b₁ and b₂ are the bases of the trapezoid.
Substituting Midsegment = 5x - 1, b₁ = 21 and b₂ = 27, we get;

Multiplying both sides of the equation by 2, we have;

Simplifying, we have;

Adding both sides of the equation by 2, we get;

Dividing both sides of the equation by 10, we have;

Thus, the value of x is 5.
You're answers are correcy
Answer: The answer for x is 28.
Step-by-step explanation: Divide 70 by 10 and you get 7, which is the slope. Then multiply 4x7 and that gets you 28!
Answer:
See below.
Step-by-step explanation:
To graph y = -5x + 1 we must move 1 unit up and 5 units down plus a unit to the right
Since the slope is negative, therefore, we move down 5 units
Since the y-intercept is positive 1 then we move 1 unit up
Important Note: Start by the y-intercept first, then the slope
Answer:
? = 8a
The other blank textbox = 35
Step-by-step explanation:
You are using the distributive property which means multiplying the number in front of the parentheses to the equation within the parentheses.
The number in-front is '8' for this equation.
The equation within the parentheses is ( a + 5 )
8 ( a + 5 )
You multiply the 8 to the equation in the parentheses.
8 * a
8 * 5
8 * a = 8a
8 * 5 = 40
So,
? = 8
The other blank equals 40