Please help (pre algebra)

Given:

Segment AD is perpendicular to segment BC.

D is the midpoint of segment BC.

To prove:

[tex]\Delta BDA\cong \Delta CDA[/tex]

Solution:

The two column proof is shown below:

Statements                                                      Reasons

1. [tex]\overline{AD}\perp \overline{BC}[/tex], D is the midpoint of [tex]\overline{BC}[/tex]         1. Given

2. [tex]\overline{BD}\cong \overline{CD}[/tex]                                                 2. Definition of midpoint

3. [tex]m\angle ADB=90^\circ \text{ and }m\angle ADC=90^\circ[/tex]         3. Definition of perpendicular lines

4. [tex]m\angle ADB=m\angle ADC[/tex]                                4. Substitution

5. [tex]m\angle ADB\cong m\angle ADC[/tex]                                5. Definition of congruence

6. [tex]\overline{AD}\cong \overline{AD}[/tex]                                                 6. Reflexive property

7. [tex]\Delta BDA\cong \Delta CDA[/tex]                                      7. SAS congruence postulate

Hence proved.

Geometry

This makes a cube because a cube has 6 faces, 8 vertices, and 12 edges.

Green part is 56.548667772

Answer:

I think it's 19.72

Step-by-step explanation:

A = r²· a / 2

Answer:

ya

Step-by-step explanation:

Answer:

10:9

Step-by-step explanation:

First ratio is 5:4. 4 is equal to Henry class

If you múltiply the ratio by 2 you get

10:8, This ratio can be compared because now Henry class has 8

2(5:4)

10:8

8:9

Meaning that the answer is 10:9

Answer:

x = -9 ; x = 7

Step-by-step explanation:

We have to find two numbers whose product is -63 and whose sum is 2

the two numbers are 9 and -7

(x+9)(x-7) = 0

x = -9

x = 7

Answer:

r = -6

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope and b is the y-intercept.

Slope 3/4

This means that [tex]m = \frac{3}{4}[/tex], and thus:

[tex]y = \frac{3}{4}x + b[/tex]

(6,3)

This means that when [tex]x = 6, y = 3[/tex]. We use this to find b. So

[tex]y = \frac{3}{4}x + b[/tex]

[tex]3 = \frac{3}{4}(6) + b[/tex]

[tex]b = 3 - \frac{18}{4} = \frac{12}{4} - \frac{18}{4} = -\frac{6}{4}[/tex]

So

[tex]y = \frac{3}{4}x - \frac{6}{4} = \frac{3x - 6}{4}[/tex]

(-6, r)

r is y when [tex]x = -6[/tex]. So

[tex]y = \frac{3(-6) - 6}{4} = -6[/tex]

So r = -6.

Answer:

The correct answer is that he made $20.

Step-by-step explanation:

A man buys a horse for $60. He sells the horse for $70. He then buys the horse back for $80. And he sells the horse again for $90.

Answer:

He made 20 dollars

Step-by-step explanation:

Buying is negative and selling is positive

-60+70-80+90

+20

He made 20 dollars

Answer:

1

Step-by-step explanation:

Answer:

resizing by the factor of 5/7

x = 3.5 * 5/7

= 17.5/7

= 2.5

Answer:

if iam not mistaking the answer would be 25

Answer:

An angle of a regular octagon is 135°

(n-2)180°/n

where n is number of sides

Answer:

Explained below.

Step-by-step explanation:

A) A skewed distribution in a dataset is when the median is not equal to the mean in such a manner that the bell curve is tilted to the left or right.

B) If in a data set, there are outliers which are extremely large or extremely small in comparison to other values in that same dataset, then we can say that such a curve will be pulled towards the outlier and thus the distribution is skewed.

Also, if the curve is inclined to the left, it means there are few extreme values to the left and is is negatively skewed.

Similarly, if the curve is inclined to the right, it means there are few extreme values to the right and is positively skewed.

C) Example of a research question is;

If in a developed country where the poverty level is about 0%, if we collect the data of income of the households, we will discover majority of people with average income and very few people with extreme high levels of income. This condition means the data to is positively skewed.

Answer:

X2 -X1 / Y2 - Y1

Step-by-step explanation:

14- 4 / (-13) - (-4)

10/-9

Answer:

First the mode.  Since 5 popped up the most, 5 is the mode.

Next is the median.  I crossed 1 dot from each side until it shows the last dot, and 5 was the last one.

After that the range.  9-2=7

Finally the worst, the mean... 2+2+3+3+3+4+5+5+5+5+5+6+6+6+8+9+9+9+9

=104/19=5.47

SO, Mode=5 Median=5 Range=7, and the mean is 5.47 (rounded nearest hundred)

Answer:

29.7 is the standard deviation :)

Answer:

A.2

Step-by-step explanation:

log5(25)

log5(5²)

2

Answer:

what I think it is it's -4

Answer:

n = 3

Step-by-step explanation:

6(8 - 2n) = 2n + 6

48 - 12n = 2n + 6

-12n - 2n = 6 - 48

-14n = -42

n = -42/-14

n = 3

Answer:

just another way to say problem

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

speed = space/time

24/4.3 = 5.6 ft/s

Answer:

On average, customer spends approximately  98 min at Little’s Law Firm

Step-by-step explanation:

Given the data in the question;

Arrival rate λ = 6 per 8 hours =  6 / ( 8 × 60 )min = 6 / 480 = 0.0125 per minute

Service rate δ = 1 / 50 min = 0.02 per minute

Standard deviation σ = 20 min

Now,

Utilization rate U = Arrival rate / Service rate

U = 0.0125 / 0.02

Utilization rate = 0.625

Number of people in Queue will be;

⇒ ( (λ² × σ²) + U² ) / ( 2 × ( 1 - U )

we substitute

⇒ ( (0.0125² × 20²) + 0.625² ) / ( 2 × ( 1 - 0.625 )

⇒ ( 0.0625 + 0.390625 ) / ( 2 × 0.375 )

⇒ 0.453125 / 0.75

Number of people in Queue = 0.6042

Now

Wait in the Queue = Number of people in Queue / λ

= 0.6042 / 0.0125 = 48.336

Wait Time in Office = Wait in the Queue + ( 1 / δ )

= 48.336 + ( 1 / 0.02 )

= 48.336 + 50

Wait Time in Office = 98.336 ≈ 98 min

Therefore, On average, customer spends approximately  98 min at Little’s Law Firm

Answer:

y=2x-4

Step-by-step explanation:

Hope you understand

Answer:

Each angle of a regular hexadecagon is 157.5 degrees, and the total angle measure of any hexadecagon is 2520 degrees.

Answer:

C. AA

Step-by-step explanation:

AA or angle - angle similarity is a principal which states that if triangles have two congruent sets of angles, then they are similar.

Answer:

Following are the responses to the given question:

Step-by-step explanation:

For point A:

[tex]\{0,1,2,3,4,5,6,7,8\}[/tex]

For point B:

{x | x is the positive square number less than or equal to 81}

For point C:

All given sets were equal and equal, that since elements and the element no. are identical.

Answer:

that would be 67/125 easy

Answer:

537/1000

Step-by-step explanation:

that number rounded is 0.537 because every number after is a 6 so you round it up and it cannot be simplified any further

Answer:

The distance traveled in one revolution is 282.6 cm.

Step-by-step explanation:

Diameter of wheel, d = 90 cm

The distance traveled by the wheel in one revolution is circumference.

The circumference of the wheel is

[tex]C = \pi\times d\\C =3.14\times 90\\C = 282.6cm[/tex]