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Whitepunk [10]
3 years ago
6

traversal T intersects line K and J as shown. Which of the following relationships make J parellel to K

Mathematics
1 answer:
Eva8 [605]3 years ago
6 0
Given that transversal T intersect line K and J, the statement that make J parallel to K is:
A] ∠3 and ∠4 are supplementary.

reason being, interior angles of a straight line are supplementary angles. That is they add up to a total of 180°.
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five consecutive terms of an arithmetic sequence have a sum of 40. The product of the middle and the two end terms is 224. Find
ratelena [41]
Let the five terms be: a, a + d, a + 2d, a + 3d, a + 4d, then
a + a + d + a + 2d + a + 3d + a + 4d = 5a + 15d = 40
i.e. a + 3d = 8
Also, (a + 2d)(a + 3d)(a + 4d) = 224
(a + 3d - d)(a + 3d)(a + 3d + d) = 224
(8 - d)(8)(8 + d) = 224
(8 - d)(8 + d) = 224/8 = 28
64 - d^2 = 28
d^2 = 64 - 28 = 36
d = sqrt(36) = 6
But a + 3d = 8
a + 3(6) = 8
a = 8 - 18 = -10

Therefore, the term of the sequence is: -10, -10 + 6, -10 + 2(6), -10 + 3(6), -10 + 4(6)
= -10, -4, -10 + 12, -10 + 18, -10 + 24
= -10, -4, 2, 8, 14

4 0
3 years ago
Martha wants to build a rectangular wooden border around the perimeter of her children's playground. She can find the perimeter
lutik1710 [3]

Answer: The perimeter of Martha's wooden border = 44 feet.

Step-by-step explanation:

Given: The formula to find the perimeter = 2w + 2l. , where w = width and l = length

If l= 12 feet and w = 10 feet

Then, the perimeter of Martha's wooden border = 2(10)+2 (12) feet

The perimeter of Martha's wooden border = 20+24 feet

The perimeter of Martha's wooden border = 44 feet

Therefore, the perimeter of Martha's wooden border = 44 feet.

3 0
3 years ago
Which pattern has the fastest growth rate?
kotykmax [81]

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The pattern having the fastest growth rate is :

  • D
3 0
2 years ago
How do you graph x-y=1 and 3x+2y=-12
Nataliya [291]

Answer:

Graph the equations

Step-by-step explanation:

x - y = 1

3x + 2y = - 12

Rewrite equations into y=mx+b form:

y = -1 + x

y = -6 - 1.5x

Graph it!

3 0
3 years ago
Can someone help me please?
jarptica [38.1K]

Answer: Circumcenter

Step-by-step explanation: The circumcenter is the point where all perpendicular bisectors of a triangle meet. The 3 perpendicular bisectors of the 3 sides of the triangle meet at the point which is labeled in this triangle as H.

3 0
2 years ago
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