<h3>
Answer: Choice D) 22.5</h3>
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Explanation:
x = length of BC
AC = AB+BC
AC = 6 + x
CE = CD+DE
CE = 22+8
CE = 30
Triangles ACE and BCD are similar triangles (can be proven by the AA similarity theorem due to the fact that AE || BD)
Therefore the corresponding sides are proportional letting us set up the proportion below
AC/BC = CE/CD
(6+x)/x = 30/22 .... substitution
22(6+x) = 30x ... cross multiply
132+22x = 30x
132 = 30x-22x ..... subtract 22x from both sides
132 = 8x
8x = 132
x = 132/8 .... divide both sides by 8
x = 16.5
Now use this to find the length of AC
AC = 6+x
AC = 6+16.5
AC = 22.5
Answer:
(2,2)
Step-by-step explanation:
(5+(-1))/2. (8+(-4))/2
4/2 4/2.
(2,2)
Answer:
2,4,6 and 8 are all 40degrees that means 1,3,5 and 7 are 140 degrees. 2,4,6, and 8 are at a diagonal that allows them to equal eachother. because 2 is given 40degrees as the angle 4,6 and 8 must also be 40 degrees. a flat line is 180 degrees. 180-40=140
you have vertical angles alternate interior, alternate exterior
Step-by-step explanation:
Vertical Angles: a pair of opposite congruent non-adjacent angles formed by intersecting lines; share a vertex
Alternate Interior: when a transversal intersects two lines, alternate interior angles are on opposite sides of the transversal and on the inside of the given lines
Alternate Exterior: when a transversal intersects two lines, alternate exterior angles are on opposite sides of the transversal and on the outside of the given lines They are congruent.
Answer:
Both Christians and Muslims believe in the Second Coming of Jesus. Christianity does not state where will Jesus return, while the Hadith in Islam states.......
Answer: 5.196152423
Step-by-step explanation: Logically considering it's a Rhombus all the sides are equal to each other. So you just need to find the area. In this case you find the area by multiplying the sin of the given angle by the square root of the given side. So, 6²×sin (60)=6²×√3/2=31.17691454. After finding the area you then have to divide the area by it's base to find the height. So, 31.17691454 ÷ 6 = 5.196152423.
I didn't round any of the numbers. Hopefully this is correct.
Sorry about the messy diagrams (never been good at creating them) and how long it took.
