For the first inequality, the solution is derived as follows:
4p > -8...... by subtracting 1
p > -2....... when divided by 4
This solution is represented on a graph as an open dot at -2, with the shading extending rightwards.
Since no inequality symbols incorporate "or equal to", all depicted dots remain open. The correct option is the first one:
a number line marked with open circles at -2 and 5, shaded in between.
The area of a square is calculated by squaring the side length (A = s²). Consequently, 30 = s². Taking the square root gives us s = √30. A calculator shows that √30 is approximately 5.48, or through estimation, we can see that √25 < √30 < √36, suggesting that √30 falls between 5 and 6.
Answer:
B. (x + 16) + (6x − 4) = 180
Step-by-step explanation:
The Theorem of Cyclic Quadrilaterals states that in any quadrilateral located within a circle, the angles opposite to each other will sum to 180 degrees. Therefore, the conclusion can be drawn:
∠A + ∠C = 180° leading to (x + 16) + (6x - 4) = 180°
∠B + ∠D = 180° which equates to x + (2x - 16) = 180°
Answer:
$82.3
Step-by-step explanation:
82 multiplied by 25 equals 2050.
Adding 90 gives 2140.
Dividing 2140 by 26 results in 82.3.
The outcome is "
GK=37, GH=14, and JK=19".The problem references a missing attachment file, thus please find it attached.
The provided values are:
GJ=4x+2
HK=6x-1
Given GK =37
Need to calculate:
HJ=?
From GK: GK = GJ+JK yields GJ+(HK-HJ)
= 4x+2+((6x-1)-x) yields
9x+1...(a)Substituting (a) into the equation gives: 9(4)+1 yields 37 solves to x=4... for answer (b) and (c). Substituting x=4 yields:
GH=14 and JK=19.
