In the diagram below, the top of each stair is parallel to the floor. What is the value of y?(Picture below.)

Answers

Answer 1

Answer: 25°
as the stair is // to floor
we can use alternate angle

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Quadrilateral GHIJ is similar to quadrilateral KLMN. Find the measure ofside LM. Round your answer to the nearest tenth if necessary.

Answers

Answer:

LM = 24.3

Step-by-step explanation:

In terms of similar shapes, we know that the ratio of the value of one side to its corresponding side value is equal to another. In other words, we know that LK and HG are corresponding sides by looking at the quadrilaterals. The ratio of LK to HG is equal to the ratio of another pair of corresponding sides, such as LM and IH.

Therefore, the ratio of LK and HG (LK/HG) is equal to the ratio of LM and IH (LM/IH) . Make sure to keep the same quadrilateral's sides on top/bottom. In this example, LM and LK are on the same quadrilateral, and are therefore both on top. Similarly, IH and HG are of the same quadrilateral and are both on bottom. We can write this as

LK / HG = LM / IH

34/7 = LM / 5

Multiply both sides by 5

34*5/7 = LM

LM ≈ 24.2857

Rounding to the nearest tenth, LM = 24.3

Answer:

24.3

Step-by-step explanation:

Express the number in polar form 4 - 4i

Answers

Polar form of a complex number is r( cos(theta) + i sin(theta) )
r is equal to the total distance created by the rectangular coordinates of the complex number
r = Root(4^2 + (-4)^2) = Root(32) = 4 Root(2)
To find theta, if a > 0, use arctan(b/a), where:
a = the first number
b = the second number
arctan (-4/4) = -45 degrees (-0.7854 radians)
Your answer is 4 Root(2) (cos(-45) + i sin(-45))

Which of the following represent the quotient of nine times a number and seven 9n÷7 9n-7 9(n+7)

Answers

Hello,

The quotient of the product of n by 9 and 7 is 9n/7

Answer A

What's substitution for x=y-7;x+8y=2

Answers

X=2-8y
y=x+7
y=2-8y+7
9y=2+7
9y=9
y=1

x=y−7;x+8y=2
Step: Solve x=y−7 for x:Step: Substitute y−7 for x in x+8y=2:
x+8y
=2y−7+8y=2
9y−7=2(Simplify both sides of the equation)
9y−7+7=2+7(Add 7 to both sides)9y=9
9y/9=9/9(Divide both sides by 9)
y=1
Step: Substitute 1 for y in x=y−7:x=y−7
x=1−7
x=−6(Simplify both sides of the equation)
Answer:x=−6 and y=1

Which of the following equations shows "twice a number is eighteen?"