Answer:
p<4
Step-by-step explanation:
4p+2< 2(p+5)
Distribute: 4p+2<2p+10
Subtract 2 from both sides: 4p<2p+8
Subtract 2p from both sides: 2p<8
Divide and we get: p<4
1= 22.08
2= 25704
3= 587
4= 610
The height of a triangle is 9 cm
<h3>
What is Triangle?</h3>
- A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the display style for a triangle with vertices A, B, and C.
- In Euclidean geometry, any three points that are not collinear produce a singular triangle and a singular plane (i.e. a two-dimensional Euclidean space).
- In other words, every triangle is contained in a plane, and there is only one plane that contains that triangle.
- All triangles are enclosed in a single plane if all of the geometry is the Euclidean plane, however, this is no longer true in higher-dimensional Euclidean spaces.
- Except when otherwise specified, this article discusses triangles in Euclidean geometry, namely the Euclidean plane.
given that
let the height of the triangle be x
then the width is x-3
Area = 
54 = x(x -3)
x = 9
height = 9 cm
width = 6cm
Therefore, the height of a triangle is 9 cm.
To learn more about the triangle with the given link brainly.com/question/11897796
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At 0.01 significance level the hypothesis is rejected.
Null Hypothesis (H₀): The sample data occurs purely from chance.
Alternative Hypothesis (H₁): The sample data is influenced by some non-random cause.
If the p-value of the hypothesis test is less than some significance level (e.g. α = .01), then we can reject the null hypothesis and conclude that we have sufficient evidence to say that the alternative hypothesis is true.
Given that,
x = 28
s = 2.9
μ = 31
n = 8
α = 0.01
Then, the Null Hypothesis : H₀ = 31
The Alternate Hypothesis : H₁ < 31
The average number of cigeratte smoker per day is less than 31.
Test Statistics:
t = x -μ / s√n
= 28 - 31/ 2.9√8
= -3/ 8.41
= -0.356
Since the p-value of 0.0046 is less than the significance level of 0.01, the auditor rejects the null hypothesis.
Learn more about Null hypothesis:
brainly.com/question/28920252
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Answer:
sorry if wrong
Step-by-step explanation:
The first with the triangles is similar
the second one with the circles is non
the third one with the squares is non
the forth one with the different shape is both,
hope this helps
