Answer:
Consider triangle ABC with vertices at points A(2,-4), B(4,-4) and C(4,-2).
1. The rotation acts with the rule:
Then:
2. The reflection across the y-axis has a rule:
So,
Triangle A''B''C'' is exactly the same as tiangle from figure 1.
Answer: correct choice is 1.
PLZ brainliest answer
Step-by-step explanation:
This problem can be directly solved by using a conversion
factor. Simple research will tell us that 1 gallon contains about 3.78 Liter.
Therefore the volume in Liter is:
volume = 75 gallons * (3.78 Liter / gallon)
<span>volume = 283.5 Liters</span>
Answer: The value of x in trapezoid ABCD is 15
Step-by-step explanation: The trapezoid as described in the question has two bases which are AB and DC and these are parallel. Also it has sides AD and BC described as congruent (that is, equal in length or measurement). These descriptions makes trapezoid ABCD an isosceles trapezoid.
One of the properties of an isosceles trapezoid is that the angles on either side of the two bases are equal. Since line AD is equal to line BC, then angle D is equal to angle C. It also implies that angle A is equal to angle B.
With that bit of information we can conclude that the angles in the trapezoid are identified as 3x, 3x, 9x and 9x.
Also the sum of angles in a quadrilateral equals 360. We can now express this as follows;
3x + 3x + 9x + 9x = 360
24x = 360
Divide both sides of the equation by 24
x = 15
Therefore, in trapezoid ABCD
x = 15
Answer:
The histogram for the given data is shown below.
Step-by-step explanation:
In a dot plot, the dots above a point represent the frequency of that number.
From the given dot plot we can make a frequency table as shown below.
Number Frequency
8 0
10 1
12 3
14 3
16 5
18 4
20 2
22 1
24 1
26 0
In histogram, each bar above a number represents the frequency of that number.
The histogram for the given data is shown below.
