Answer:
<em>XY = 92 units</em>
Step-by-step explanation:
<u>Similar Shapes</u>
Two shapes are similar if all their corresponding side measures are in the same proportion.
The triangles UVW and YVX are similar because their side lengths are in the proportion 1:2, given the tick marks provided in the drawing.
This means that the measure of VX is twice the measure of VW,
The measure of YV is twice the measure of UV
The measure of XY is twice the measure of UW
This last proportion gives the equation:
z + 46 = 2z
Solving for z:
z = 46
Thus, XY = z+46 = 92
XY = 92 units
Answer:
1. f(x)=3
-12x-7
number three is really hard for me though sorry hope this first one helps though.
Step-by-step explanation:
Pn(Z>zp)=1−p%
Given a variable X following a normal distribution with mean μ and standard deviation σ, the area below the curve that corresponds to all values that are less than a that is, X<a
is the probability P(X<a). This probability is usually calculated by converting the variable X to a standard normal variable Z (forming z scores) defined by:
The variable Z follows the standard normal distribution with a mean of 0 and a standard deviation of 1.
The standard normal probabilities are typically found by using the standard normal tables or other computational means such as calculators or software.
Pn(Z>zp)=1−p%
Here Pn is the probability for the standard normal variable.
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Answer:
Step-by-step explanation:
n+150+7+100=200+50+27
n+257 = 277
n = 277 - 257
n = 20
The system 150x+400y=1950 and x = y+2 could be used to determine the number of small boxes and large boxes ordered where x represents the number of small boxes and y represent the number of large boxes.
Step-by-step explanation:
Given,
Number of nails in small box = 150 nails
Number of nails in large box = 400 nails
Total nails in ordered boxes = 1950 nails
Let,
x be the number of small boxes ordered.
y be the number of large boxes ordered.
According to given statement;
150x+400y=1950 Eqn 1
The contractor bought 2 more small boxes than large boxes
x = y+2 Eqn 2
The system 150x+400y=1950 and x = y+2 could be used to determine the number of small boxes and large boxes ordered where x represents the number of small boxes and y represent the number of large boxes.
Keywords: linear equation, substitution method
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