All categories

2 years ago

In this figure prove that cd//ef

Mathematics

1 answer:

MaRussiya [10]2 years ago

8 0

Answer:

1) 36 + 50 = 86 : Addition property of equality

2) m<D = m<ADB : If two angles have the same measure, then they are equal.

3) <D congruent to <ADB : if two angle are equal, then they are congruent.

4) <D, <ADB are alternate interior angles: assumed from diagram

5) CD // AB : if alternate interior angles are congruent, then the 2 lines cut by a transversal are //.

6) 130 + 50 = 180 : addition property of equality

7) m<E, m<BAE are supplements : if the sum of two angles equal to 180, then they are supplements.

8) <E, <BAE are same-side interior angles : assumed from diagram

9) EF // AB : if same-side interior angles are supplements, then the 2 lines cut by a transversal are //.

10) CD // EF : if two lines are // to the same line, then they are //.

im pretty sure this is the proof

You might be interested in

Reas the above and answer

sergeinik [125]

Answer:

48cm^2

Step-by-step explanation:

You first find the area (l * w) of the first rectangle on the top.

4 * 2 is 8

Then you find the area of the rectangle on the bottom.

5 * 8 is 40

Finally you add the area's together.

6 0

3 years ago

If g(x) = 4x2 - 16 were shifted 9 units to the right and 1 down, what would the new equation be? A. h(x) = 4(x + 9)2 – 17

ArbitrLikvidat [17]

Answer:

Step-by-step explanation:

If you move down 1 unit, you simply subtract 9 units from the given equation.

g(x) = 4x^2 - 16 - 1

g(x) = 4x^2 - 17

Shifting right is a little bit tricky. To shift right, you have to do the opposite of what you would do on the number line. The x has to become x - 9 because the x value (you will learn later) is part of a distance and distances always subtract one from the other.

The wrong way to do it is in answer A.

B is the correct answer

h(x) = 4(x - 9)^2 - 17

6 0

3 years ago

A symbol used to name one or more parts of a whole or a set, or a location on a number line is a?

jeka94

Answer:

Fraction

Step-by-step explanation:

Fraction is a symbol that represents a part of a whole. It consists of a numerator and a denominator. The numerator is the number above the fraction bar (also known as "Vinculum), while the denominator is the number below the fraction bar. The denominator is the total number of equal parts in a whole.

Examples of Fraction: $\frac{1}{2}$ , $\frac{2}{7}$ and $\frac{5}{8}$ .

In the first example, $\frac{1}{2}$ , 1 is the numerator, while 2, is the denominator.

Additional Information

When the numerator is smaller than the denominator, the fraction is called "proper fraction." On the contrary, when the numerator is bigger than the denominator, the fraction is called "improper fraction."

4 0

2 years ago

6. If the average temperature in February was 55°F arch was 64°F April was 74°F, and Ma was 85°F men which month had the smalles

mylen [45]

The month of February has the smallest gain in average temperature over the previous month?????

3 0

3 years ago

Part B:

Andrew [12]

Articles of clothing that the store received last Thursday is 84

Solution:

Given that

A clothing donation store received numerous articles of clothing on Thursday of last week.

The number of articles of clothing that the store received last Thursday is represented by the following expression:

4 (3x − 1) − 2 (6 + 2x)

Need to calculate articles of clothing that the store received last Thursday when x = 12.5

As on Thursday x = 12.5, need to substitute x = 12.5 in above equation to get number of articles received on Thursday.

On substituting x = 12.5, we get

4 ( (3 x 12.5 ) – 1 ) – 2 ( 6 + ( 2 x 12.5 ) )

=> 4 (37.5 – 1) – 2 (6 + 25)

=> 146 – 62 = 84

On substituting x = 12.5 , we are getting value of expression as 84.

Hence articles of clothing that the store received last Thursday is 84

3 0

2 years ago

In this figure prove that cd//ef​

In this figure prove that cd//ef