Mathematics High School

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Complete the two-column proof using the answers in the bank.
Given: Point B is the midpoint of DC and EA Prove: ∆BDE ≅∆BCA

Answer Bank:
Definition of a midpoint
EB ≅ AB
Given
Point B is the midpoint of DC and EA
Side-Angle-Side (SAS)
Vertical Angle Theorem

FILL THE BLANKS

Statement Reason
1.______ 1. Given
2. DB ≅ CB 2._
3. 3. Definition of a midpoint
4. ∠EBD ≅ ∠ABC 4.
5. ∆BDE ≅∆BCA 5.___

Answers

Answer 1

Answer:

Step-by-step explanation:

1. B is midpoint of DC and EA 1. Given

2. DB ≅ CB 2. Definition of midpoint

3. EB ≅ BA 3. Definition of midpoint

4. ∠EBD ≅ ∠ABC 4. Vertically opposite angles

5. ΔBDE ≅ ΔBCA 5. S A S congruent

Related Questions

List numbers that are between -103 ad -130

Answers

Answer:

104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123,124,125, 126, 127, 128, 129

Hello! :)

Numbers between -103 and -130:

-104-105-106-107-108-109-110-111-112-113-114-115-116-117-118-119-120-121-122-123-124-125-126-127-128-129

These are the numbers between -103 and -130. Hope it helps. Please ask if you have any query.

~An excited gal

#CarryOnLearning

[tex]MagicalNature[/tex]

Find the slope of each line.

Answers

Answer:

Step-by-step explanation:

There are 4 conditions that have to be met before you can declare what the slope is.

1. y has to be on one side of the equation.

2. y must have a coefficient of +1

3. the other side contains the x value. It can have any number as the slope which is in front of x.

4. The value of the number by itself which is not connected to x or y can also be any value including the irrational numbers.

Examples

y = 5x + 4

slope = 5

y intercept = 4

y = πx + sqrt(5)

slope = pi

y intercept = sqrt(5)

Answer to your question

slope = 7/5

y intercept = 5

What is the distance between the points (-3, 5) and (-3, -6) on the coordinate plane?

Answers

Answer 11
Explanation (x-x) + (y-y)

(0,11) because there is 0 difference in -3 and -3 and a difference of 11 in 5 and -6

PLEASE FIND THE MEASURE OF X

Answers

Answer: 3.42

Step-by-step explanation: use trig equations. Sin 20 = x/10. Multiply both sides by 10. Sin (20) times 10 is 3.42

Answer:

x = 3.42

Step-by-step explanation:

For the 20° angle, x is the opposite leg.

10 is the hypotenuse.

sin A = opp/hyp

sin 20° = x/10

x = 10 × sin 20°

x = 3.42

Jason gets 15 gallons of gas at $3.90 a gallon. 15 gallons gives him 20 miles to the gallon. How many miles can Jason travel on 1 tank of gas?

Answers

He needs one more tank to get one tank of gass because 15 gallons is not enough for one tank. 16 is so, he needs to buy 62.40$

What is the slope of the line that passes through the points (3, 7), (9, 19) and (5, 11)?

Answers

Answer:

the slope is 2

Step-by-step explanation:

use the slope formula which is y2-y1/x2-x1

How to convert minutes and seconds into grades.

Answers

Answer:

Step-by-step explanation:

To convert time to time, kernel time with 24 (number of time in a day).

To convert time to minutes, kernel with time with 1440 (number of minutes in a day = 24 * 60).

To convert s to seconds, multiply the time by 86400 (number of s in a day = 24 * 60 * 60).

Multiply as indicated. Write the product in standard form. An explanation is needed.
(2+i)^2

Answers

Answer:

2^2 + i^2 or 4 + i^2 (depending if the teacher wants it simplified or not)

Step-by-step explanation:

(2+i)^2

Basically just add the power to each number using the distributive property. 2 would go to 2^2 (which can be simplified to four) and i would go to i^2.

woud
Unit 6 Portfolio
Task 1:
Taxi Cab Company A: $8 per ride and $0.35 per mile
• Write an equation in slope intercept form to represent the cost of a
taxi ride using company A.
Hint: use y=mx+b
Y =
• What does the y-intercept mean in the context of this problem?
Hint: What do you pay to step into the cab?

Answers

The y intercept means that $8 must be paid to step into the cab.

A linear equation is of the form:

y = mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

Let y represent the total pay for x miles

Since $8 per ride and $0.35 per mile, hence the equation is:

y = 0.35x + 8

The y intercept means that $8 must be paid to step into the cab.

Find out more at: https://brainly.com/question/25453046

A car was traveling at 25 m/s when it slammed on the brakes and came to a complete stop in 3 seconds. What is the cars INITIAL/FINAL VELOCITY?

Answers

Answer:

Initial velocity = 25 m/s

Final velocity = 0 m/s

Step-by-step explanation:

Initial velocity is the speed in the beginning and final velocity is the speed in the end.

The problem says the car was traveling at 25 m/s, so that is the initial velocity. The end of the problem states the car came to a complete stop after 3 seconds. Therefore, the final velocity is 0 m/s.

Solve for the unknown side of each right triangle

Answers

x is 9.1 accordingly to the phytagores therom

I got this problem solved so I no longer need help

Answers

Answer:

then whats the point

Step-by-step explanation:

PLA HELP PLS PLS PLA

Answers

Answer:

y=3x-1

Step-by-step explanation:

I solved it by using graph paper so if you start out at (2,4), and go down 3 and left 1 you would end up at (-1,3)

please help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee (thank you :)

(cAt)

Answers

Answer:

answer is 2

Step-by-step explanation:

funny pic

You need to collect at least 32 shells to create a necklace. Your friend gave you 14 and you already had 6. How many more shells do you need to make a necklace? *

Answers

you need 12 more shells

Evaluate.

(2a - 3) ÷ (b / 4) when a = 12 and b = - 20

Answers

Answer:

-4.2

Step-by-step explanation:

First me put a and b in

2x12

(24 - 3) = 21

b: -20

-20 divided by 4 = -5

21 divided by -5

Answer= -4.2

A map was made with a scale in which 3 inches represents 450 miles. The actual distance between two cities is 1,350 miles. What is the distance between the same two cities on the map?6 inches

Answers

Answer:

Step-by-step explanation:

(450 miles/3 inches) = 150 miles/inch

(1,250 miles)/(150 miles/inch) = 8.3333 inches

When the actual distance between two cities is 1350 miles the distance between the same cities on the map is 9 inches.

What is proportion?

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio.

Given that,

On scale 3 inches represents the actual distance = 450 miles.

To find the distance on scale when actual distance = 1350

Since, 3 inches = 450 miles

1 inch = 450 / 3 = 150 miles

150 miles = 1 inches

1 mile = / 1/ 150 inches

1350 miles = 1350 / 150 inches = 9 inches

The required distance on scale is 9 inches.

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Which of the numbers below is greater than 0.75? Select all that apply. A) 32 B) −0.5 C) 1.2 D) −14 E) −2.4

Answers

Answer:

A and B

Step-by-step explanation:

becuz

hey can someone help with my assignment worth 80% of my grades

Answers

Answer:

Honestly the intercept should be on the axis

Step-by-step explanation:

Answer:

You didn't helped me with my question so no

Step-by-step explanation:

Evaluate the expression for x=2 and y=4

16x0 + 2x2 • y-1

Answers

Answer:

Step-by-step explanation

16x0+2x2•y-1

ok now

16•2+2•2•2•4-1

wich is: 31

(30 Points) A catering company has small tables and large tables. Small tables seat 2 people and large tables seat 5 people. You are planning a party for at most 75 guests. Write an inequality that represents this situation. Let s represent the small tables and I represent the large tables.

Answers

Answer:

lllllllllllllll

Step-by-step explanation:

its is 15 large tables

eight pounds of potatoes is 16 dollars. how much for 5 punds

Answers

Answer: that equals to 1.6

Step-by-step explanation:

Which ordered pair is a solution of the equation?
7x-2y=-57x−2y=−5

Answers

Answer:

what ordered pairs?

Step-by-step explanation:

3.03Quiz:circles
The center of a circle lies on the line y=6x+2 and is tangent to the x-axis at (-2,0)
What is the equation of the circle in standard form?

Answers

Answer:

yung nasa pic sagut sa⇩

The center of a circle lies on the line y=6x+2 and is tangent to the x-axis at (-2,0)

What is the equation of the circle in standard form?⇩

-Standard form for the equation of a circle is (x−h)2+(y−k)2=r2. The center is (h,k) and the radius measures r units. To graph a circle mark points r units up, down, left, and right from the center.

thank me later♡

3 2/7 divided by 1 1/4

Answers

Answer:

92/35

Step-by-step explanation:

⇒ 3 2/7 ÷ 1 1/4

⇒ (3*7 + 2) / 7 ÷ (1*4 + 1) / 4

⇒ 23/7 ÷ 5/4

⇒ 23 * 4 / 7 * 5

⇒ 92/35

The solution of the expression is 2 22/35.

What is Division method?

Division method is used to distributing a group of things into equal parts.

Given that;

The expression is,

3 2/7 divided by 1 1/4

Now, Solve the expression as;

3 2/7 ÷ 1 1/4

23/7 ÷ 5/4

23/7 x 4/5

92/35

2 22/35

Hence, The solution of the expression is 2 22/35.

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what is the value of a in a/5 + 3= 8

Answers

Answer:

Step-by-step explanation:

what is the value of a in a/5 + 3= 8

a/5 + 3= 8

a/5 = 8 - 3

a/5 = 5

a = 5 * 5

a = 25

Answer: a= 25

Step-by-step explanation:

first, you'll have to write the opposite of the + symbol which is - and then you'll have to lose the 3 by substracting it with, so the equation will look like this: a/5= 8-3 not 8+3

a/5=5

after that step you'll have to multiply 5 from the equal sgin with the 5 that is divided by a, so the final equation looks like this:

a=5x5

a=25

now let's make a verification:

25/5+3=8

5+3=8

a=25

hope I helped you :)

simplify if y<0.

[tex]-\sqrt{9y^{2} }[/tex]

Answers

Answer:

-3y

Step-by-step explanation:

Whether y is smaller than 0 or not, the square root of y^2 is y, a positive quantity.

Thus, -√(9y²) = -3y

Answer

It's actually 3y instead of -3y.

BTW, anybody from RSM

how do i
factor 7x^2+3x-4

Answers

Answer:

(x+1) (7x - 4)

Step-by-step explanation:

7x² + 3x - 4

Use the diamond...

7 times -4 equals -28 and 7 plus -4 = 3

Use factor by grouping b/c a does not equal 1

7x² + 7x - 4x - 4

7x(x + 1) -4(x + 1)

(x+1) (7x - 4)

solve 3+x>-9 A) x >3 B) x > -6 C) x>-3 x > D) x> -3

Answers

Answer: the answer should be x>-12

Step-by-step explanation:

3+x>-9

x>-9-3

X>-12

Andrew measured a line to be 11 inches long. If the actual length of the line is 11.4 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?

Answers

Answer:

3.5

Step-by-step explanation:

Error=11.4-11=0.4

Percentage error = (0.4/11.4) × 100 = 3.5 to the nearest tenth

The percent error in estimate is 3.5%

What is error?

In practical mathematics, error is the distinction between a true value and an approximation, or approximate, representation of that value. A common example in statistics is the difference between the mean of the entire population and the mean of a sample picked from that population. An example of a round-off error in numerical analysis is the difference between an irrational number's actual value and the value of rational expressions.

Given

measured value = 11 inches

actual value = 11.4 inches

percent error = ((actual value - Estimate value)/actual value)100

percent error = ((11.4 - 11)/11.4)100

percent error = 0.03508 x 100

percent error = 3.508% = 3.5%

Hence the percent error is 3.5%.

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