Jerome drew a triangle with vertices s, t and u how can Jerome show that the angels are congruent without measuring angles

Answers

Answer 1

Answer: An angle with all equal angles is called an equilateral triangle, and another property of equilateral triangles is that all of their sides are the same measure.
So, Jerome could measure all the sides of the triangle and prove that all the angles are equal because of the above statement.
Good luck, and I hope I helped!

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Two angles are supplementary angles if the sum of their measures is 180. Find two supplementary angles such that the measure of the first angle is 18 degrees less than three times the measure of the second. What is the measure of the first and second angle

Answers

3x-18+x=180
4x-18=180
198=4x
49.5=x

Angle 1 is 49.5 degrees
Angle 2 is 130.5 degrees

Final answer:

The first angle is 130.5 degrees and the second angle is 49.5 degrees. They are supplementary angles since their sum is 180 degrees.

Explanation:

In this problem, we're given that two angles are supplementary, which means the sum of their measures is 180 degrees. If we call the second angle x, then the first angle is described as 3x - 18, as it is 18 degrees less than three times the measure of the second angle.

We can create an equation based on this information: x + (3x - 18) = 180. Solving this equation gives us x = 49.5. That means the second angle is 49.5 degrees.

Substitute x with 49.5 degrees into the expression for the first angle: 3 * 49.5 - 18 = 130.5. Thus, the first angle is 130.5 degrees and the second angle is 49.5 degrees. Both angles sum up to 180 degrees, confirming that they are supplementary.

Learn more about Supplementary Angles here:

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Which graph represents the function f (x) = 5 - 5x^2

Answers

The graph for the function f(x) = 5 - 5x² is shown in the figure below.

How to draw a graph for the function?

Consider certain values of x to get x-coordinates
Substitute those values in the function to get y-coordinates
Coordinate those x and y values as (x, y)
Plot those points in the graph
Connect those points, it forms a curve or line or parabola

Calculation:

The given function is f(x) = 5 - 5x²

Consider x = {-1, 0, 1}

When x = -1

f(-1) = 5 - 5(-1)²

= 5 - 5

= 0

∴ (-1, 0)

When x = 0

f(0) = 5 - 5(0)²

= 5 -0

= 5

∴ (0, 5)

When x = 1

f(1) = 5 - 5(1)²

= 5 - 5

= 0

∴ (1, 0)

So, the coordinatepoints are (-1, 0), (0, 5), and (1, 0)

Plotting these points in the graph.

Connecting those points gives a curve shown in the figure below.

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The bottom one is correct

What is the median of these numbers?
4, 18, 20
A 8
® 12
© 14
0 18

Answers

Answer:

Step-by-step explanation:

The middle number of the sequence us the median

What is a common denominator for 3 and 26. Thanks for the help. 6th grade math.

Answers

There are no common denominator for 3 and 26.

42 because 26x2=42 and 3x14=42

Is 1-6 correct please help I will give thanks or brainliest

Answers

Good job !! There all correct !

Yes don't forget if you need to simplify do so .

Smallest to largest.The diameter of Pluto
The diameter of Titan
The diameter of Neptune

Answers

The diameter of the Titan is more than Pluto and the diameter of the Titan is less than Neptune.

Diameter of Pluto < Diameter of Titan < Diameter of Neptune

What is ascending order?

It is the order of the numbers in which a smaller number comes first and then followed by the next number and then the last number will be the biggestone.

The planets are given below.

Pluto, Titan, and Neptune.

We know that the diameter of the planets will be

Pluto = 2376.6

Titan = 5149.5

Neptune = 49244

Then the diameters are in ascending order is given as

The diameter of Pluto < The diameter of Titan < The diameter of Neptune

More about the ascending order link is given below.

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Answer: