Step-by-step explanation:
length = (2x + 3) units
width = (x - 7) units
Area = 2( length × width)
Area = 2( (2x + 3) × (x - 7) )
Area = 2( 2x² - 14x + 3x - 21)
Area = 2 ( 2x² -11x - 21)
Area = 4x² - 22x - 42
A triangle is a three-edged polygon with three vertices. ΔAKE and ΔCKP are congruent.
<h3>What is a triangle?</h3>
A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angle of a triangle is always equal to 180°.
In ΔABC, since AB≅BC, therefore, the triangle will be an isosceles triangle, and the measure of ∠A ≅ ∠C, using the base angle theorem.
Now In ΔAKE and ΔCKP,
∠A ≅ ∠C {Proved above}
∠AKE ≅ ∠CKP {Given}
AK ≅ KC {Given }
Since two angles and a side of the triangle are equal, therefore, we can write the two triangle are congruent using the Side-angle-side or Angle-Side-Angle congruence.
Hence, ΔAKE and ΔCKP are congruent.
Learn more about Triangle:
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First find the slope of the given line:
4x +2y = 1
Subtract 4x from each side:
2y = -4x + 1
Divide both sides by 2:
y = -2x +1/2
The slope is -2.
Now use the slope to find the y-intercept. Because the line is perpendicular, you need to use the negative inverse of the slope.
The negative inverse of -2 is 1/2
Now using the point-slope form y - y1 = m(x-x1)
Use the inverse slope for m, and the given point(-4,3) to get:
y - 3 = 1/2(x+4)
Simplify:
y - 3 = x/2 +2
Add 3 to each side:
y = x/2 + 5
Reorder the terms to get y = 1/2x +5
The answer is D.
27, you need to simplify both sides of the equation to get x on one side.
