4:1 is the answer............
ΔXYZ was reflected to form ΔLMN, hence ΔXYZ ≅ ΔLMN, ∠X ≅ ∠L and XZ ≅ LN
<h3>What is
transformation?</h3>
Transformation is the movement of a point from its initial location to a new location. Types of transformation are <em>rotation, translation, reflection and dilation.</em>
Reflection is a rigid transformation, hence it produces congruent figures with congruent angles.
∠Y + ∠X + ∠Z = 180 (angle in a triangle)
86 + 38 + ∠Z = 180
∠Z = 56°
Also:
∠N + ∠M + ∠L = 180 (angle in a triangle)
86 + 56 + ∠L = 180
∠L = 38°
ΔXYZ was reflected to form ΔLMN, hence ΔXYZ ≅ ΔLMN, ∠X ≅ ∠L and XZ ≅ LN
Find out more on transformation at: brainly.com/question/4289712
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Answer:
317,988,000
Step-by-step explanation:
We have been given that according to the United States Census Bureau, on September 11, 2014, the population of the United States was increasing by 11 people every 12 seconds.
Let us find number of people increased in 1 minute as:
Now, we will convert 11 years into minutes and multiply by 55 to find increase in population in 11 years.
Upon multiplying 5,781,600 by 55, we will get:
Therefore, the population of United States would increase 317,988,000 in 11 years.
Density = Mass/Volume
D = M/V
D = 0.07/0.063
D = 1.111111111111111
Volume of a rectangular prism is WHL
Volume of a rectangular prism is <span>0.3 m * 2.1 m * 0.1 m
</span>Volume of a rectangular prism is 0.063
Answer:
15.6%
Step-by-step explanation:
Since each day there is a 6% chance that Lisa smiles at him then that means that each day there is a 94% chance that Lisa does not smile at him. To find the probability of Milhouse going longer than a month (30 days) without a smile from Lisa we need to multiply this percentage in decimal form for every day of the month. This can be solved easily by putting 94% to the 30th power which would be the same, but first, we need to turn it into a decimal...
94% / 100 = 0.94
= 0.156
Now we can turn this decimal into a percentage by multiplying by 100
0.156 * 100 = 15.6%
Finally, we can see that the probability that Milhouse goes longer than a month without a smile from Lisa is 15.6%