Complete the following proof. Given: (BD) is the perpendicular bisector of (AC) Prove: ∢A≅∢C
Statement Reason
1. (BD) is the perpendicular bisector of (AC) 1. Given
2. Point B is the midpoint of (AC) 2. Definition of perpendicular bisector
3. 3. Definition of midpoint
4. ∢ABD and ∢CBD are right angles 4. Definition of perpendicular bisector
5. ∢ABD and ∢CBD are congruent 5. All right angles are congruent.
6. 6. Reflexive property of congruence
7. 7.
8. ∡A≅∡C 8.

Answer:

y = -4x - 2

Step-by-step explanation:

y = mx + b where

m = slope, and b = y-intercept

slope = -4 = m

y-intercept = -2 = b

y = mx + b

y = -4x - 2

Answer: y = -4x - 2

Answer:

The graph of the equation x^2 - 4x - 5 is linked as a pdf down below.

Answer:

20

Step-by-step explanation:

Given,

The mean of 16, X, 3, 14, 57 is 22.

Therefore,

(16+X+3+14+57)/5 = 22

(16+X+3+14+57) = 110

(90+X) = 110

X = 110-90

X = 20

The value of x will be 20.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The mean of set 16, X, 3, 14, 57 is 22.

Now,

Since, The mean of 16, X, 3, 14, 57 is 22.

Hence, By definition of mean we get;

⇒ 16 + X + 3 + 14 + 57 / 5 = 22

Solve for x as;

⇒ 90 + X / 5 = 22

⇒ 90 + X = 22 × 5

⇒ 90 + X = 110

⇒ X = 110 - 90

⇒ X = 20

Thus, The value of x will be 20.

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90

Step-by-step explanation:

because it has a parallel line

Answer:

2,3,4,5,6,7,8,9 etc

Step-by-step explanation:

Answer:

3x + 12 > 15

this can be simplified to

x > 1

Step-by-step explanation:

:D

Answer:

For the first row, it's 6, 12, 18, 24, 30

Second row: 4, 8, 12, 16, 20

Step-by-step explanation:

You're just counting by multiples of 6 for the first row and 4 for the second row. Denominator means the number underneath the fraction line

Answer:

Refer to the attachment

Soo :

2a + 3b = 325

2a + 7b = 505 -

-4b = -180

4b = 180

b = 45

[tex] \: [/tex]

2a + 3b = 325

2a + 3(45) = 325

2a + 135 = 325

2a = 325 - 135

2a = 190

a = 95

~graph

Graph the line using the slope and y-intercept, or two points.

Slope : 3

y intercept = (0 , 3)

graph already attached ✔️

~ nice to help you ^^

Answer:

Step-by-step explanation:

Answer:

Your answer is 150 units!

Answer:

yea it is

Step-by-step explanation:

Answer:

∠ H = 22.5°, ∠ I = 45° , ∡ J = 112.5°

Step-by-step explanation:

The 3 angles in a triangle sum to 180° , then

x + 2x + 5x = 180 , that is

8x = 180 ( divide both sides by 8 )

x = 22.5

Then

∠ H = x = 22.5°

∠ I = 2x = 2 × 22.5° = 45°

∠ J = 5x = 5 × 22.5° = 112.5°

8√21 cm² is the area

hope it helps you

please mark as brainlliest!!

Answer:

A cross product is an form from an vector multiplication, performed in between for two vectors from a different kinds or nature. An vector may have both magnitude also direction. So we can multiply two or more vectors for crossing a product also a dot product. The resultant vector is an perpendicular to a plane having the two add vectors.

Step-by-step explanation:

Answer:

between for two vectors from a different kinds or nature. i think

brainliest???

Step-by-step explanation:

The internal values of all triangles are worth 180°, so knowing this, just form a 1st degree equation to respond, remembering that the value 180°, will stay after the equal sign of the equation.

[tex]-2[/tex] is a less of a loss than [tex]-5[/tex], but a lost of [tex]5[/tex] points is a greater loss than of [tex]2[/tex] points

Answer:

The high temperature for the day was 5.4°F

Step-by-step explanation:

-18.3 + 23.7= 5.4

The high temperature for the day is 5.4° F.

Temperature is a degree of hotness or coldness the can be measured using a thermometer. It's also a measure of how fast the atoms and molecules of a substance are moving. Temperature is measured in degrees on the Fahrenheit, Celsius, and Kelvin scales.

Given that, The morning temperature in Finland was -18.3° F.

The temperature rose 23.7° F during the day before reaching its high temperature for the day.

Now, -18.3°+23.7°

= 5.4° F

Therefore, the high temperature for the day is 5.4° F.

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The x-axis should be labeled quartz of yogurt.

The y-axis should be labeled total cost.

The slope of each line represents the cost of yogurt ($/qt).

The y-intercept of each line represents the initial equipment cost.

In Mathematics, the y-intercept is also known as an initial value and the y-intercept of any graph such as a linear function, generally occur at the point where the value of "x" is equal to zero (x = 0).

Based on the graph above, the initial equipment cost represents the y-intercept of each line.

In Mathematics, a slope is also referred to as gradient or rate of change and it is typically used to describe both the ratio, direction and steepness of the function of a straight line.

Therefore, the slope of each line represents the rate of change of the total cost with respect to the quartz of yogurt ($/qt).

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Answer:

6,000

Step-by-step explanation:

Answer:

The answer is 14x

Step-by-step explanation:

2×7=14

x×14=14x

Using the principle of proportional relationship, the amount of mulch and gravel sold is 108 and 72 pounds respectively.

Creating a ratio expression thus :

Let :

Pounds of Mulch sold :

Pounds of gravel sold :

Hence, the amount of mulch and gravel sold is 108 and 72 pounds respectively.

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Answer:

5

Step-by-step explanation:

it is half of ten which is 5

Hope this helps

Answer:

top one is correct I think

Answer:

Step-by-step explanation:

y - 4 = -2(x - 6)          It might be easier to do if we removed the brackets and collect like terms.

y - 4 = -2x + 12          Add 4 to both sides

y = - 2x + 4 + 12        Combine

y = - 2x + 16

It's not one because -6*-2 + 16 = 28 for y.

It's B

y = -2 * 6 + 16

y = - 12 + 16

y = 4

(6,4) is the answer.

c: doesn't appear to be right. Any minus sign is going to make the number in front of x  + which only adds to 16 making bigger.

d: -2*4 + 16 = - 8 + 16 = 8 which is incorrect. The answer should by 6 not 8

Answer:

20x = 55

Step-by-step explanation:

First you have to add 3x to both sides of 11-3x=x

[tex]11-3x=x\\+3x=+3x\\11=4x[/tex]

Now that you have 11 = 4x you divide 4 on both sides [tex]\frac{11}{4} =\frac{4x}{4}[/tex]

11/4 = x

But you can't divide 11 by 4 unless you are looking for the decimal form of 11/4 which is 2.75

so now we take 11/4 or 2.75 depending on if you need your answer in fraction or as a decimal and replace that with x  however both will equal the number 55

[tex]20(\frac{11}{4})=55\\20(2.75)=55[/tex]

Answer:

The perfect square lockers are the only ones left open.

Step-by-step explanation:

Here is a legit link to an explanation of this old puzzle problem!

https://36university.com/act-math-locker-problem-solution/

Quoting from that page:

Method 2: Who Touches Which Lockers

Identifying which students touch which lockers is a little less of a brute-force approach and would likely have gotten you to the solution a little more quickly.

Here’s what I mean:

Consider locker #1. The only student who touches locker #1 is student #1. Student 1 opens the locker, and since no one else touches it, it will be left open at the end.

Consider locker #2. Student 1 opens the locker, and student 2 closes it. No one else touches the locker, so it will be closed.

Consider locker #10. Students 1 opens the locker. Student 2 closes it. Students 3 and 4 skip right by it. Student 5 opens it. Students 6, 7, 8, and 9 skip right by it. And student 10 closes it. Locker #10 will be closed.

Mental Milestone 1: After looking at several lockers, you should notice that lockers are only changed by student numbers that are factors of the locker number. In other words, locker 12 is changed by students 1, 2, 3, 4, 6, and 12.

Mental Milestone 2: You should also have noticed that factors always come in pairs. This means that for every student who opens a locker, there is another student who closes it. For locker #12, student 1 opens it, but student 12 closes it later. Student 2 opens it, but student 6 closes it later. Student 3 opens it, but student 4 closes it later.

By this logic, every locker would be closed.

But there are exceptions!

Consider locker #25. Student 1 opens it. Student 5 closes it. Student 25 opens it. The locker will be left open, but why? In this case, the factors do not come in pairs. One and 25 are a pair, but five times five is also 25. Five only counts as one factor. This causes the open-close pattern to be thrown off. Locker #25 is left open.

Mental Milestone 3: When factors don’t come in pairs, the locker will be left open. And factors don’t come in pairs when numbers are multiplied by themselves. Perfect squares (1, 4, 9, 16, 25, 36, 49, 64, 81, 100,…) are the only numbers whose factors don’t come in pairs because one set of factors, the square root, is multiplied by itself. This means that only perfect square lockers will be left open.

Locker #s 1, 4, 9, 16, 25, 36, 49, 64, 81, and 100 are left open!

Answer:

I don't understand anything. if I was know of course I will help you

Step-by-step explanation:

2/3 cups white paint mix with 2 2/3 cups = 8/3 cups blue paint.

so, 2/3 / 8/3 = 2×3 / 3×8 = 6/24 = 1/4.

therefore, the mix ratio white/blue paint is 1/4 (1 part white, 4 parts blue).

so, for 3 cups of white paint we need 3×4 = 12 cups of blue paint.

Answer:

Pentagon - 5 sides = 5 x 4 = 20

Hexagon - 6 sides = 6 x 5 = 30

Nanagon - 9 sides = 9

20 + 30 + 9 = 59 IN TOTAL

Step-by-step explanation:

Answer:

Median: 9

Mode: 10

Range: 4

Step-by-step explanation:

Median

Line up all the numbers from smallest to biggest and take the one in the middle. In this case it's both 8 and 10. So you would do (8+10)/2. which is 9

Mode

it's the number that occurs the most number of times, which is 10.

Range

Range is 10-6, so it's 4.

A mean is an arithmetic average of a set of observations. The mean, median, and the range of the given data set 6, 8, 10, 10 are 8.5, 9, and 4 respectively.

A mean is an arithmetic average of a set of observations. it is given by the formula,

Mean = (Sum of observations)/Number of observations

The mean, median and range of the given data set 6, 8, 10, 10 is,

Hence, the mean, median, and the range of the given data set 6, 8, 10, and 10 are 8.5, 9, and 4 respectively.

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