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2 years ago

If ABC = ADC, which is NOT true by CPCTC ?

Mathematics

1 answer:

sdas [7]2 years ago

4 0

We cannot use CPCTC to show that BE is congruent to DE.

CPCTC refers to the angles and sides of two congruent triangles being congruent to their corresponding pieces. The height of a triangle is not one of the given sides that counts in this.

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one angle of a linear pair is 10 more than two thirds the other angle. find the measure if both angles

BigorU [14]

Answer:

One Angle = 110°

Other Angle = 70°

Step-by-step explanation:

A linear pair means that two angles are in a straight line (or, a straight angle).

A straight line is 180 degrees.

THey are supplementary.

We can say one angle is "a" and another one is "b".

One angle is 10 MORE THAN 2/3rds of the other, we can write:

$a=\frac{2}{3}b+10$

Also, since they are supplementary (add up to 180), we can write:

a + b = 180

We can now substitute 1st equation in this one and find b:

$a+b=180\\(\frac{2}{3}b+10)+b=180\\\frac{2}{3}b+b=180-10\\\frac{5}{3}b=170\\b=\frac{170}{\frac{5}{3}}\\b=170*\frac{3}{5}\\b=110$

Since a + b = 180, we can write:

a + 110 = 180

so,

a = 180 - 110

a = 70

Thus,

One Angle = 110°

Other Angle = 70°

8 0

2 years ago

The total number of degrees, D, in an n-sided polygon is given by the formula D=180(n-2). When Janelle solves for n, she gets n=

Rus_ich [418]

D = 180 * (n -2)
D = 180n -360
180n = D +360
n = (D / 180) + 2

So, the answer is "A"
And we can test this with a square, sum of angles = 360
n = (D / 180) +2
n = (360 / 180) +2
number of sides = 4
correct

Source:
http://www.1728.org/polygon.htm

3 0

2 years ago

Read 2 more answers

A doctor is measuring the average height of male students at a large college. The doctor measures the heights, in inches, of a s

amid [387]

Answer:

The correct conclusion is:

"The doctor can be 95% confident that the mean height of male students at the college is between 63.5 inches and 74.4 inches."

Step-by-step explanation:

A doctor is measuring the average height of male students at a large college.

The doctor measures the heights, in inches, of a sample of 40 male students from the baseball team.

Using this data, the doctor calculates the 95% confidence interval (63.5, 74.4).

The following conclusions is valid:

"The doctor can be 95% confident that the mean height of male students at the college is between 63.5 inches and 74.4 inches."

Since we know that the confidence interval represents an interval that we can guarantee that the target variable will be within this interval for a given confidence level.

For the given case, the confidence level is 95% and the corresponding confidence interval is (63.5, 74.4) which represents the true mean of heights for male students at the college where the doctor measured heights.

Therefore, it is valid to conclude that the doctor is 95% confident that the mean height of male students at the college is within the interval of (63.5, 74.4).

6 0

2 years ago

Write a paragraph that has an inverted triangle shape. The topic sentence should be, “Trees are helpful.” Include at least three

yaroslaw [1]

Why trees are helpful........................................
..................................................................
............................................................
.....................................................
..............................................
..................................
Very easy just state facts about trees in a format like this. Google why trees are helpful and some facts should pop up. A good paragraph should have at least five (5) good strong sentences.

4 0

2 years ago

Read 2 more answers

Nevaeh has 12 gallons of gas in her car at the beginning of a trip. Every hour Nevaeh

slega [8]

Answer:

there is no question below therefore, we can't answer it

8 0

2 years ago