Answer:
see explanation
Step-by-step explanation:
2 chords intersecting inside a circle , then the product of the parts of one chord is equal to the product of the parts of the other chord.
6
BE × ED = AE × CE , that is
10 × 3x = 12(2x + 1) ← distribute parenthesis by 12
30x = 24x + 12 ( subtract 24x from both sides )
6x = 12 ( divide both sides by 6 )
x = 2
then
ED = 3X = 3(2) = 6
7
RJ × JP = SJ × JQ , that is
6 × 3x = 4(4x + 1) ← distribute parenthesis by 4
18x = 16x + 4 ( subtract 16x from both sides )
2x = 4 ( divide both sides by 2 )
x = 2
then
RP = RJ + JP = 6 + 3x = 6 + 3(2) = 6 + 6 = 12
Answer:
y = -4.
Step-by-step explanation:
The line with equation y = 4 is a horizontal line on the coordinate plane which passes through the y-axis at y = the point (0, 4).
The other line parallel to this must also be horizontal and , as it passes through the point (1 , -4), must also pass through the y-axis at ( 0, -4). The equation of this line is y = -4.
On scientific thing that can be solved through the use of technology is Pollution.
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Answer:
AD= 8
DC= 15
Angle a= 112°
Angle b= 68°
Angle c= 112°
Step-by-step explanation:
We have to assume the figure is a parallelogram.
Opposite sides of a parallelogram are congruent, so ...
BC = AD = 8
AB = DC = 15
Opposite angles are congruent, and adjacent angles are supplementary.
180° - ∠D = Angle a = Angle c = 112°
∠D = Angle b = 68°
