Mathematics High School

I WILL AWARD BRAINLIEST!! PLEASE HELP!!


Given: AC = AB, CD = DE

m∠ABC = 70°, m∠ ECB = 35°


Prove: DE ║BC



m∠ACB = m∠______, By reason ( Base angles theorem, Exterior Angle theorem, Supplementary angles, Vertical Angles theorem ) - choose one

Answers

Answer 1

Answer:

a)[tex]\angle ACB = \angle ABC[/tex] By Base angle theorem

b)DE||BC since[tex]\angle DEC=\angle ECB[/tex] and they are alternate interior angles

Step-by-step explanation:

Given: AC = AB, CD = DE

∠ABC = 70°, m∠ ECB = 35°

Refer the attached figure

AB = AC

So, By Base angle theorem : if the sides of a triangle are congruent then the angles opposite these sides are congruent.

So, [tex]\angle ACB = \angle ABC[/tex]

So,[tex]\angle ACB = \angle ABC =70^{\circ[/tex]      ----1

CD = DE

So, by Base theorem

[tex]\angle DCE = \angle DEC[/tex]

Let [tex]\angle DCE[/tex]  be x

So,[tex]\angle DCE = \angle DEC[/tex]

[tex]\angle ACB= \angle DCE+\angle ECB = x+35[/tex]

Using 1

70 = x+35

35=x

[tex]\angle DCE = \angle DEC =35^{\circ}[/tex]

Now[tex]\angle DEC=\angle ECB=35^{\circ}[/tex]

So, DE||BC since[tex]\angle DEC=\angle ECB[/tex] and they are alternate interior angles

I WILL AWARD BRAINLIEST!! PLEASE HELP!!Given: AC = AB, CD = DEmABC = 70, M ECB = 35 Prove: DE BC MACB

Related Questions

Hailey is putting up a fence in the shape of an isosceles triangle in her backyard. The fence has side lengths as shown, where x represents the number of feet in each fence section. The perimeter of the fence can be covered using 8 total fence sections represented by the expression 8x. If fencing costs $6.50 a foot, what would be the total cost of the fence?

Answers

Answer: The total cost would be $780.00

The expression for the total cost of fencing is $52x , where x is a variable representing the number of feet in one section.

What is an expression in one variable?

An expression in one variable is a statement formed by the using constants and an unknown variables and mathematical operators but sign is equal to is not used. Expression in one variable is linear if the power of the unknown variable is equal to one .

Given that number of feet in one fence section be x

No of feet in 8 such fence section = 8x

Given , Perimeter = 8 fence sections = 8x feet

Cost of fencing of one foot = $6.50

Cost of fencing 8x feet = 8x * 6.50

Therefore , the total cost of the fencing can be given by = 8x*6.50

                                                                                                  = $ 52 x

Thus, the expression for the total cost of fencing is $52x

Also, Learn more about the expressions in one variable from the link below:

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A store sells a shirt discounted by 10%. A coupon is used for an additional 10% off the discounted price. What is the total percentage discounted off the shirt? (PLEASE HELP ME)

Answers

Answer:

20%

Step-by-step explanation:

Which describes the slope of the given line?

A. Zero
B. Unidentified
C. Negative
D. Positive

Answers

Answer:

Option C (Negative)

Step-by-step explanation:

A line with a negative slope goes downward from the left side of the graph to the right side.

A positive line would be the opposite; the line goes upward form left to right.

A horizontal line has zero slope. A vertical line has undefined slope.

The given line has the line going downward.

Option C should be the correct answer.

Hope this helps.

Answer:

C. Negative

Step-by-step explanation:

the line moves from left to right(it's going down) meaning it has a negative slope.

I hope this helps! :)

what is (4 multiply 7 dived by 2 ? ​

Answers

4 times 7 equals 28 divided by 2 which would equal 14

Answer:

14

Step-by-step explanation:

There are 10 marbles in a bag 1/5 are red and the others are blue. What is the ratio of red to blue marbles?

Answers

Answer:

1:4 ratio

Step-by-step explanation:

The Answer is a 1:4 ratio because 1/5 of 10 is 2 and 4/5 of 10 is 8 so the ratio would look like 2:8. You would then simplify 2:8 to 1:4.

Ratio of red to blue marbles is 1:5

An equation is used to show the relationship between two or more numbers and variables.

10 marbles in a bag 1/5 are red and the others are blue.

number of red marbles = 1/5 * 10 = 2

number of blue marbles = 10 - 2 = 8

Ratio of red to blue marbles is 2:8 = 1:5

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3/4 + ( 1/3 / 1/6 ) - (- 1/2)
Please hurryyyyyy thank you

Answers

Answer:

=47/36

(Decimal: 1.305556)

Step-by-step explanation:

Answer:

3 1/4

Step-by-step explanation:

3/4 + ( 1/3 / 1/6 ) - (- 1/2)

First, divide within the parenthesis

3/4 + 2 - (- 1/2)

Next, change the double subtraction to an addition

3/4 + 2 + 1/2

Convert to forths

3/4 + 2 + 2/4

Add 3/4 and 2

2 3/4 + 2/4

Add 2 3/4 and 2/4

3 1/4

I hope that this helps :)

h(x)=2x+5 k(x)=x+3 find (h(k(x)))

Answers

Answer:

h(k(x)) = 2x + 11

Step-by-step explanation:

Step 1: Define

h(x) = 2x + 5

k(x) = x + 3

h(k(x))

Step 2: Substitute and Evaluate

k(x) = x + 3 = x

h(k(x)) = 2(x + 3) + 5

h(k(x)) = 2x + 6 + 5

h(k(x)) = 2x + 11

Simplify -2.6f+0.7f-15-4

Answers

Answer:

-1.9f-19

Step-by-step explanation:

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[tex] - 1.9f - 19 = [/tex]

[tex] - 1.9(f + 10)[/tex]

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what is the solution to the inequality
15<4+x​

Answers

Answer:

x>11

Step-by-step explanation:

x must be greater than 11.

Glenn has been training for a bicycle race. On Sunday he covered a distance that was 3 miles more than what he usually cover on the following Sunday he cover 3 miles more than twice the miles are usually covers if he usually covers 5.3 miles what is the total number of miles that he covered on the two Sundays

Answers

Answer:

Step-by-step explanation:

bruh

Answer:

13.6

Step-by-step explanation:

take 5.3 and multiply it twice to get 10.6

then add 3 to get 13.6


Q. What is the equation by looking at this graph?

Answers

Answer:

y=x+2

Step-by-step explanation:

slope is 1

y-int is +2

Answer:

y = 3 + 1/1

Step-by-step explanation:

First, the line passes the y-intercept at 3, so we have y = 3. But we also need the slope. Because the slope is 1/1 or 2/2, the equation would be this:

y = 3 + 1/1

I hope this helps! If you have any questions about how I got this answer please feel free to comment them!

PLS HELP FAST if all three angles of a triangle are 60 degrees, what are the length of the side(s)?

Answers

Answer:

180

Step-by-step explanation:

the lengths are all 180 because 60 degrees times three sides is 180 so the length of one side is 180.

Evaluate the
10 Plus 54/-6

Answers

Answer: 0.6 repeating

Step-by-step explanation:

Answer:

obj

Step-by-step explanation:

obj basically means that like

o: onul AM scared

b: bat

j: jaywalk

this is an exampe of J in the obj becauase the 10 is jaywalking adding to 54!!!.W!?KL herobrine?/?? he said threat!!! what is life mean to be god? Same.

Jason is going to a basketball game 5 miles away from his home. He has only 30 minutes to get there before the game starts. At what average speed must he ride his bike to get to the game on time?
Solve and answer in complete sentences!

Answers

Answer:

6 min

Step-by-step explanation:

The average depth of Lake Michigan is 85 meters below the surface. The deepest point in Lake Michigan is 196 meters lower than this.​

Answers

Answer:

If you need to find how deep Lake Michigan is, it is 280 meters below the surface

Step-by-step explanation:

please help me on these 6 questions about proportions (fill in the black) HELP​

Answers

Answer:

1. 6

2. 800

3. 10

4. 120

5. 3.5

6. 9

Step-by-step explanation:

I like to cross multiply for these type of problems.

I will show an example:

x/15=2/5 you multiply the opposite terms so 5x=30 then solve so x=6

Plot the image of point Q under the translation (x, y) + (x - 3, y + 4).​

Answers

Answer:

( 2, -1 )

Step-by-step explanation:

The image of the assumed point Q(2, 3)) under the translation is Q'(-1, 7).

What is Translation?

Translation is a type of transformation of geometrical figures. After translation, the original figure is shifted from a place to another place without affecting it's size.

Translation of a point (x, y) indicates that the point is moved x units along the X axis and y units along the Y axis,

Here we have to translate the point Q(2, 3).

Point (x, y) is translated as (x - 3, y + 4).

That is the point (x, y) moves 3 units to the left along the X axis and 4 units upwards along the Y axis.

Q(2, 3) after the translation becomes,

Q'(2 - 3, 3 + 4) = Q'(-1, 7)

Hence the point Q(2, 3) under the translation (x - 3, y + 4) is the point Q'(-1, 7).

To learn more about Translation, click on the link :

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HELP brainlest included 1 hours timed

Answers

Answer:

x=7

Step-by-step explanation:

first, add 12 to both sides so it would look like: 6x-12+12=30+12

so, ya get 6x=42

then you divide 6 from both sides, and that is: 6x/6=42/6

so x=7

1) add 12 to both sides

6x= 30+12

2) add 30 and 12 to get 42

6x= 42

3) divide both sides by 6

x= 42/6

x=7

Hope this helps!

Jose owes his brother $50. He promises to pay his brother back $5 each week until his debt is paid off. Represent the relationship between the debt, D, and the number of weeks, n, in a table, graph, verbal description, and algebraic expression.

Answers

Answer:

it will take 10 weeks for him to pay his brother completly

Step-by-step explanation:

Find the missing side

Answers

Answer:

The answer is D) 6 1/4 to win a bet

Answer:

the answer is D to win a bet ;)

Step-by-step explanation:

you have to divide the 6/12 and 13 and the 12 ;)

in the expression 6x+5-4x the terms are​

Answers

Answer:

2x+5

Step-by-step explanation:

Answer:

6x, 5, -4x

Step-by-step explanation:

Write a quadratic function in standard form whose graph passes through (-2,0), (3,0), and
(2, – 32).

Answers

Answer:

y = -8x^2 - 8x - 48

Solve the equation please!!!!!

Answers

it’s either a. or b. the other two would be if you were trying to solve for x but i’d go with a.

If f(x) = 0, what is x?
• 0 only
•-6 only
•-2,1, or 3 only
•-6,-2,1 or 3 only

Answers

Answer:

-2, 1, or 3 only

Step-by-step explanation:

it’s asking for x intercepts

7.3 times 10^22 what does it equal?

Answers

What does ^ mean on top

The correct answer is 7.3e +22


Finn looked at 2 websites every 18 hours. At that rate, how long, in
hours, will it take to look at 4 websites? Plz help

Answers

Answer: 1 day, 12 hours (36 hours)

Given that Finn looked at 2 websites every 18 hours, let's solve the problem.

Multiply by 2, because he looks at 4 websites, and 2 x 2 = 4.

18 x 2 = 36.

The answer should be 36. Hope this helps you!

382.993 to the nearest hundredth​

Answers

Answer:

That number rounds to the nearest hundredth to this number: 382.99

NEED HELP ASAP WILL GIVE BRAINLY IF CORRECT

Answers

Answer:

500/40125/vDensitym/v

I hope this helps!

What is 32 squared root

Answers

Answer: 4√2

Step-by-step explanation:

Hey there! I will give the following steps, if you have any questions feel free to ask me in the comments below.

Try multiplying 4*4*2 = 32. So you would bunch up those two 4's and so it would be the front of the answer. Then you would square root 2 because it is remaining.

~I hope I helped you! :)~

What is the x-intercept of the graph?
A) -4
B) -3/2
C) 2/3
D) 6

Answers

Option D, 6 is the correct answer

Answer:

c

Step-by-step explanation:

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