Answer:
x = 25 degrees
Step-by-step explanation:
So we know that the 4x, 2x + 10°, and x - 5° and the measures of the three interior angles of the triangle. The sum of the interior angles of a triangle is 180°.
Using this, we can conclude that the sum of 4x, 2x + 10°, and x - 5° is equal to 180°.
We can write this information as the equation:
4x + (2x + 10) + (x - 5) = 180
We can use this equation to find the value of x. To find the value of x by using the equation, we need to solve for x (put the equation into the form x = _).
Solve for x:
4x + (2x + 10) + (x - 5) = 180
4x + 2x + 10 + x - 5 = 180
Combine like terms.
7x + 5 = 180
Subtract 5 from both sides to get rid of the +5 on the left side.
7x = 180 - 5
Simplify.
7x = 175
Divide both sides by 7 to get rid of the coefficient of 7 on the left side.
x = 175 ÷ 7
Simplify.
x = 25.
x would be equal to 25°.
x = 25 degrees
I hope you find this helpful. :)
Answer:
inequality equation: x<= -8
on the number line, there is a closed dot on -8, and is shaded left.
Step-by-step explanation:
so x/4 <= -2.
Multiply by 4
x<= -8.
Since it is a <=, the dot will be filled on negative 8, and shaded to the left, since it is a < sign.
Hope this helps!
Answer:
see diagram
Step-by-step explanation:
A rectangle has the area that can be calculated using formula

1. Consider rectangle with length of 8 yards and width of 6 yard. Then

2. Consider rectangle with length of 12 yards and width of 4 yard. Then

These two rectangles are attached.
Answer:
12√2.
Step-by-step explanation:
You can do this by the Pythagoras theorem:
20^2 = x^2 + (4sqrt7)^2 where x is the distance required.
x^2 = 20^2 - (4sqrt7)^2
= 400 - 112
= 288
x = √288
= √144 *√2
= 12√2.
Your answer is 1.3, i hope this helped, tell me if you need more help