Given: Line A B intersects Line D E at point C.
Prove: AngleDCB Is-congruent-toAngleECA

Line D E intersects line B A at point C.
A 2-column table with 6 rows. Column 1 is labeled statements with the entries line A B intersects line D E at point C, angle D C B and angle B C E are a linear pair, angle D C B is supplementary to angle B C E, angle B C E and angle E C A are a linear pair, angle B C E is supplementary to angle E C A, angle D C B is-congruent-to angle E C A. Column 2 is labeled reasons with the entries given, definition of linear pair, linear pair post, definition of linear pair, question mark, congruent to supplementary theorem.
What is the missing reason in step 5?

linear pair postulate
given
definition of complementary angles
congruent complements theorem

Answer:

4        :5

Step-by-step explanation:

boys : girls

12      : 15

Divide each by 3

12/3    : 15/3

4        :5

Answer:

Answer is 16 ft.

The answer is rounded to the nearest tenth place.

Step-by-step explanation:

[tex]given \: that \: \\ diameter \: of \: circle \: = 5 \: ft \\ then \: radius \: = \frac{5}{2} \: ft \\ we \: know \: that \\ circumferece = 2\pi \: r \\ on \: substiuting \: r= \frac{5}{2} \: ft \ \\ in \: formula \\ circumferece = 2\pi \times \frac{5}{2} \\ = 5\pi \\ substiuting \: \pi = 3.14 \\ = 5(3.14) \\ = 15.7079 \\ = 15.708 \\ when \: it \: is \: rounded \: off \: to \: nearest \: tenth \\ we \: get \: 16 \: ft\: as \: the \: answer.[/tex]

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THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

The circumference of the circle having a diameter of 5 ft will be 15.7 ft.

The easiest way to find the perimeter for any shape is to add up the lengths of all the sides, but a circle only has one side, so that isn't possible. If you don't know its circumference, you also don't know the length of that side.

Fortunately, we can use a formula that uses other properties of a circle to find its circumference. In fact, there are two different formulas for circumference we can use and they look like this:

C = 2πr

Here the diameter of the giver circle is 5 ft so the radii will be 2.5 ft

By putting the value of radius in the formula we get

[tex]C=2\pi r[/tex]

[tex]C=2\pi \times 2.5=15.7\ ft[/tex]

Hence the circumference of the circle having a diameter of 5 ft will be 15.7 ft.

To know more about circumference follow

https://brainly.com/question/20489969

Answer:

Six people read more than 2 books.

Step-by-step explanation:

Hope that helps

Answer:

In the picture attached, line l and the three points are shown. 3 segments are formed, namely, segments AB, BC and AC.

Step-by-step explanation:

A segment has two endpoints. With 3 points on the line, there are 3 segments, AB, BC and AC; each of them includes 2 points.

Step-by-step explanation:

tan 35=3/x

tan 35 x =3

x=3/tan 35

x=4.28

just double check this because I'm not quite sure

Answer:

AC = 4.28

Step-by-step explanation:

Khan Academy

Answer:

kn=15

nm=20

Step-by-step explanation:

The lengths of sides KN and NM of the kite

KN =  15   units

NM =   20 units

A kite is a quadrilateral with four sides that may be divided into two neighboring pairs of equal length sides. A parallelogram, on the other hand, has two sets of equal-length sides, but they are opposed to one another as opposed to being adjacent.

Given:

KLMN is a kite.

According to the given kite,

KN = KL........ (1)  

and LM = NM........ (2)

From equation (1)

y + 10 = 2y + 5

y = 5.

Now,

3x -1 = 2x + 6

x = 7

We get,

LM = MN = 20

KN =  15   units

NM =   20 units

To learn more about the kite's shape;

https://brainly.com/question/20955975

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Answer:

Bottom left

Step-by-step explanation:

For it to be scalene, all 3 sides must be of different length, so cross off D. Acute means all angles are less then 90°, so cross off the top 2.

Answer:

i believe it is b

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

bc = df x 2

14 x 2 = 28

I hope this helps

Answer:

Step-by-step explanation:

Same side interior angles refers to the pair of angles which are inside the two "parallel" lines and at the same side of the transversal line.

Notice that angles BGH and DHG are same side interior angles. Similarly, angles AGH and CHG are also same side interior angles.

Therefore, the right answer is ∠DHG.

Answer:

2 pieces, 30ft each

Step-by-step explanation:

rope : 60ft long

we are trying to figure out how many equal pieces we can cut the rope into with the length of each piece to be the greatest possible integer:

if jason wants the length of rope to be the longest than the answer is 2, if he divides the length of 60 by 2, each piece will be 30 feet long. If he divides the rope by any number larger, each piece will be shorter than 30 feet, and he wants the piece to be the largest possible length.

Answer:

30

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

If the lengths of a and b are equal, the degrees of the angles should also be equal.

Answer:

Option A.

Step-by-step explanation:

The given ratios are 2:3, 3:4, 5:6, 1:5.

We need to arrange these ratios in descending order.

Fraction form of given ratios are

[tex]\dfrac{2}{3},\dfrac{3}{4},\dfrac{5}{6},\dfrac{1}{5}[/tex]

First find LCM of denominators.

[tex]LCM(3,4,6,5)=60[/tex]

Now, make denominator common, i.e., 60.

[tex]\dfrac{2\times 20}{3\times 20},\dfrac{3\times 15}{4\times 15},\dfrac{5\times 10}{6\times 10},\dfrac{1\times 12}{5\times 12}[/tex]

[tex]\dfrac{40}{60},\dfrac{45}{60},\dfrac{50}{60},\dfrac{12}{50}[/tex]

Now, arrange numerator in descending order.

[tex]50>45>40>12[/tex]

[tex]\Rightarrow \dfrac{50}{60}>\dfrac{45}{60}>\dfrac{40}{60}>\dfrac{12}{50}[/tex]

[tex]\Rightarrow \dfrac{5}{6}>\dfrac{3}{4}>\dfrac{2}{3}>\dfrac{1}{5}[/tex]

[tex]\Rightarrow 5:6>3:4>2:3>1:5[/tex]

Therefore, the correct option is A.

Answer:

2x - 7 = 8

2x = 8 + 7

2x = 15 (divide both sides by 2 to get x)

2x/2 = 15/2

x = 7.5

Step-by-step explanation:

Answer:

11, 3

Step-by-step explanation:

Substitute 11

2|11-7|=8

2|4|=8

8=8

Substitute 3

2|3-7|=8

2|-4|=8

2x4=8

8=8

Answer:

[tex]12.57units^2[/tex]

Step-by-step explanation:

[tex]\\A=1/4\pi r^2\\=1/4\pi 4^2\\=4\pi \\4\pi =12.56637\\12.57units^2[/tex]

Answer:

12.57

Step-by-step explanation:

Answer:

the median for A is 26 and the mean for B is 24

Step-by-step explanation:

since 24 and 28 are both in the middle we need to find the mean of 24 and 28 to find A's median.

18+19+21+25+29+32=144

144 divided by the # of terms 6 gives our mean 24 for B.

Answer:

CAB

Step-by-step explanation:

Angle CAB and Angle FAB together make 180 degrees(straight angle) . A supplementary angles equal to 180 degrees.

Answer:

15

Step-by-step explanation:

Answer:

V = m/d

Step-by-step explanation:

d = m/V, m = mass and V = volume

We want to solve for V

Multiply each side by V

dV = m/V *V

dV = m

Divide each side by d

dV / d = m/d

V = m/d

Answer:

its C

Step-by-step explanation:

f(x) = |(-5)+1|

f(x)=|4|

absolute value of 4 is 4

Answer:

f(x)=|x+1|

f(-5)=|-5+1|

f(-5)=|-4|

f(-5)=4. As a result, f(-5)=4 is the correct answer. Hope it help!

Step-by-step explanation:

Answer:

The correct answer is B or

One-third x minus one-fourth y minus four-fifths + one-third x minus one-fourth y

Step-by-step explanation:

I just took the test

Answer:

It's B aka -2x - 3.

Step-by-step explanation:

All except irrational numbers

Step-by-step explanation:

Answer:

1) 60 m³ 2)182 m³ 3) 456 in.³

Step-by-step explanation:

1) 3 x 6 x 3 = 54

1 x 2 x 3 = 6

54 + 6 = 60

2) 3 x 6 x 7 = 126

2 x 7 x 4 = 56

126 + 56 = 182

3) 3 x 4 x 2 = 24

9 x 4 x 12 = 432

24 + 432 = 456

Answer:

D

Step-by-step explanation:

2x + 3y = 18

3x - 3y = 12

the 3y and -3y cancel and you add the other like terms

5x = 30

x = 6

plug x back into any of the equations

2(6) + 3y = 18

12 + 3y = 18

3y = 6

y = 2

answer is (6,2)

Answer:

[tex]A=\frac{x^4y^9+3x^4y^9}{2}4x^2y^5=2x^4y^9(4x^2y^5)=8x^6y^{14}[/tex]

Answer:

.0874 or .087

Step-by-step explanation:

Answer:

1.99

Step-by-step explanation:

4.6% > 0.046

0.046 x 1.9 = 0.0874

0.0874 + 1.9 = 1.9874

rounded to nearest hundredth

1.99

Answer:

[tex]\displaystyle 84x[/tex]

Step-by-step explanation:

[tex]\displaystyle (-2)(-6x)(7)[/tex]

[tex]\displaystyle -2 \times -6x \times 7[/tex]

[tex]\displaystyle12x \times 7[/tex]

[tex]\displaystyle =84x[/tex]

Answer:

8 grams

Step-by-step explanation:

The balance is in equilibrium, so the weights of the two sides are equal.

Let the weight of a square be s.

Left side: 2s + 4

Right side: s + 3(4) = s + 12

The weights are equal, so we set the two expressions equal.

2s + 4 = s + 12

s = 8

Answer: The weight of a square is 8 grams.