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

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).

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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

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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

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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

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I hope that this helps :)

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Answers

Answer:

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Step-by-step explanation:

it’s asking for x intercepts

NEED HELP ASAP WILL GIVE BRAINLY IF CORRECT

Answers

Answer:

500/40125/vDensitym/v

I hope this helps!

Which describes the slope of the given line?

A. Zero
B. Unidentified
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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! :)

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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!

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Answers

Answer:

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Step-by-step explanation:

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

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Answer:

Step-by-step explanation:

bruh

Answer:

13.6

Step-by-step explanation:

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Answers

Answer: The total cost would be $780.00

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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

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Cost of fencing 8x feet = 8x * 6.50

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

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answer:

c

Step-by-step explanation:

Find the missing side

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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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! :)~

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Answers

Answer:

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Step-by-step explanation:

x must be greater than 11.


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Answers

Answer:

y=x+2

Step-by-step explanation:

slope is 1

y-int is +2

Answer:

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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:

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

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

I like to cross multiply for these type of problems.

I will show an example:

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Answer:

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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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Finn looked at 2 websites every 18 hours. At that rate, how long, in
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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.

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The answer should be 36. Hope this helps you!

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Answers

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Step-by-step explanation:

Answer:

obj

Step-by-step explanation:

obj basically means that like

o: onul AM scared

b: bat

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