Answer:
Since the points X , Y and Z are collinear:
For the diagram, you just have to draw a line and mark the end-points of the line as X and Z and mark the mid-point of the line as Y
Since we are given that XY = YZ,
We will replace with the provided values:
XY = YZ
<em>4(x + 5) = 2(x + 11)</em>
<em>4x + 20 = 2x + 22</em>
<em>2x = 2</em>
x = 1
Since x = 1 and XY = YZ,
We can say that:
XZ = XY + YZ
XZ = XY + XY or XZ = 2XY
Now, replacing the variables for the value of XZ
XZ = 2XY
XZ = 2(4x + 20)
XZ = 2(4 + 20) (Since x = 1)
XZ = 48 units
512x16, there are 16 cups in one gallon so 512x16=8,192 cups.. the answer is d
The total number of stickers the 2 children had was 192 stickers.
Let x represent Mary initial stickers, y represent Gary initial stickers and z represent the total stickers.
x + y = z
They shared in the ratio of 5:3, hence:
x = (5/8)z
Mary gives 1/3 of her stickers to Gary to have 32 more stickers than her.
(1/3)x = (1/3)(5/8)z = (5/24)z
y + (1/3)x = (2/3)x + 32
Solving equation 1, 2 and 3 gives:
x = 120, y = 72, z = 192
The total number of stickers the 2 children had was 192 stickers.
Find out more on equation at: brainly.com/question/13763238
Answer: The correct answer is D
Step-by-step explanation: If you were to scale this up to the actual size, the planets would be so close that each planet would collide with each other because the gravity would interfere to much. If this were accurate, you and me both would not be alive right now. We would be squished to bits by the other planets.
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Answer:
The smaller angle is 20 degrees.
Step-by-step explanation:
A triangle's interior angles must have a sum of 180 degrees. Hence the two acute angles must have a sum of 180-90=90 degrees.
Say that the angles have 2x and 7x length:
2x+7x=90
9x=90
x=10
Hence the acute angles have degrees 2*10=20, 7*10=70.
The smaller angle is 20 degrees.
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