The figure shows triangle DEF and line segment BC, which is parallel to EF:

Triangle DEF has a point B on side DE and point C on side DF. The line BC is parallel to the line EF.

Part A: Is triangle DEF similar to triangle DBC? Explain using what you know about triangle similarity. (5 points)

Part B: Which line segment on triangle DBC corresponds to line segment EF? Explain your answer. (3 points)

Part C: Which angle on triangle DBC corresponds to angle F? Explain your answer. (2 point

Answers

Answer 1

Part A: Yes, Triangle DEF and DBC are the same triangle, but DBC is smaller than DEF because it is just a cut off of DEF.

Part B: I am pretty sure it is angle C.

Part C: I am pretty sure it is angle D.

Answer 2

Answer:

Step-by-step explanation:

Part A.

m < B = m < E (corresponding angles, (BC parallel to EF))

m < C = m < F ( as above)

So triangles DBC and DEF are similar ( by 2 equal angles).

Part B.

Line segment BC ( as they are both opposite < D)

Part C.

< C as its in same relative position to < F.

Related Questions

The price of an item has dropped to $34 today. Yesterday it was $40. Find the percentage decrease.

Answers

15% decrease.
Explanation:
10% of 40 is $4 so another 5% is $2. So 15%

Doing Corrections
#14 plz and thank you

Answers

Answer:

Step-by-step explanation:

Express the following equation in slope intercept form: 8x-2y=10
PLEESSSSSSSSSSSSSE

Answers

Answer:

[tex]y2 - y1 \div x2 - x1[/tex]

10-4/4x89-1/2+43992/69x174

Answers

10.127781530000000000

Catryna has 15 coins in nickels and quarters, totaling $3.75. How many quarters does she have?

Answers

Answer: 15 Quarters

Step-by-step explanation:

4Q = $1

12Q = $3

3Q = $0.75

12Q + 3Q = $3.75

Simplify the expression
x - (12 – 5x)

Answers

Answer:

6x - 12

Step-by-step explanation:

Simplify the expression

x - (12 – 5x) =

x - 12 + 5x =

6x - 12

Supply the missing reasons to complete the proof.

Answers

Answer:

3. ASA

4. Corresponding sides of congruent triangles are congruent

Step-by-step explanation:

I marked this in the attached image. ∠B ≅∠E, ∠ACE ≅ ∠DCE, and the side between them BC ≅ EC, so the the triangles ΔACB and ΔDCE are congruent by ASA.

If the triangles are congruent, then all corresponding angles and sides are also congruent.

Dom mowed 2/5 of his lawn. Maddy mowed 1/4 of it. who mowed most. how much more needs to be mowed

Answers

Answer:

Dom mowed the most and 7/20 is how much is left

Step-by-step explanation:

To compare the answer of which is larger you need a like denominator. Maddy: 5/20

Dom: 8/20

Now what is left for them to do is 7/20.

z/3 <= 3
solve for z

Answers

Answer:

assuming <= is less than or equal to

then z/3 is less than or equal to 3

z had to be less than 9

If a - 5b - 3 = 8, then the straight line ax + by + c = 0 must pass through the point
I) (1, 5)
II) (1, -5)
III) (5, -1)
IV) (-1, 5)
Please show your work...No spam.. Thank you.

Answers

Answer:

III) (5, -1)

Step-by-step explanation:

Given relationship between the constants of the line ax + by +c = 0:

a - 5b - 3c = 8

We can try options, the obvious one is:

a = 0, b = - 1, c = - 1

In this case the line becomes:

0x - y - 1 = 0y = - 1

This gives us the point (5, - 1), the option III

write the equation of the line that is parallel to Y=2/3 X -7 and passes through the point (-3,1)

Answers

Answer:

y=2/3x+3

Step-by-step explanation:

parallel means it stays the same so its still 2/3

now use the equation y=mx+b

plug in the slope which is 2/3

so we get y=2/3x+b

then plug in the 2 points

1= 2/3(−3)+b

1=-6/3+b

1=-2+b

add 2 to 1 and -2

3=b

so we get y=2/3x+3

wich form is more quickly to reveal the y intercept f(x)=3(x-6)^2-75 f(x)=3x^2+36x+33 f(x)=3(x+1)(x+11)

Answers

Answer:

the 2nd option

Step-by-step explanation:

the second option is in standard form (y = ax^2 + bx + c), c gives us the y intercept

A pentagon has angle measures of 103°, 105°, 114° and 113°. What must the fifth angle measure?

Answers

Answer:

105°

Step-by-step explanation:

A pentagon has a total of 540°

103 + 105 + 114 + 113 = 435

540 - 435 = 105

I hope this helps!

True or false 9x10^-5 is 0.01 times as much as 9x10^-3

Answers

Answer: The answer to this question is true.

Find the value of 3a^2+2b, If a=3 and b = 4.

An explanation would be great.

Answers

Answer:

=35

Step-by-step explanation:

3(3) ^2 + 2(4)

= 3(9) + 8

= 35

Where you see a, substitute with 3 and where you see b, substitute with 4

Just follow the steps above.

[tex]\\ \sf\Rrightarrow 3a^2+2b[/tex]

[tex]\\ \sf\Rrightarrow 3(3)^2+2(4)[/tex]

[tex]\\ \sf\Rrightarrow 3(9)+8[/tex]

[tex]\\ \sf\Rrightarrow 27+8[/tex]

[tex]\\ \sf\Rrightarrow 35[/tex]

8. Select all the expressions that represent "10% more than x."
A. 10 + x
B. 0.10 + x
C. 0.1x + x
D. 0.1x + 10
E. 1.1x
F. X(1 + 0.1)

Answers

Answer:

Step-by-step explanation:

10/100 = /0.1. it should be more than x so add x to it to be 0.1+X

Triangle ABC is translated left 1 units, and dilated by a scale factor of 2.
Write in the coordinates of vertices A'B'C'.

Answers

Answer:

Step-by-step explanation:

( x , y ) ----> ( x - 1 , y ) ------> ( 2(x-1) , 2y ) = ( 2x - 2 , 2y )

5. Randall wants to buy a pizza. He can
select from 4 different sizes (s,m,Ixl), three
types of crust (pan, thin, hand toss), and
two toppines (cheese or pepperoni). How
many different outcomes of pizza can
Randall order?

Answers

Answer: 18 outcomes

Step-by-step explanation:

For the small:

pan+cheese

pan+pepperoni

thin + cheese

thin + pepporoni

hand + cheese

hand + pepperoni

which is 6 outcomes

then 6x3(because of the sizes) is 18.

What's the value of x?

Answers

Acoording to roman numerals,X is 10

Given the function f(x) = 10x + 8, find each of the following.
f(7)=
f(-8)=
f(0)=

Answers

Answer:8

Step-by-step explanation:

Answer:

f(7)

Step-by-step explanation:

i am pretty sure i am not in highschool so just give me a thanks i am in 6 grade happy rest of the day

I DONT KNOW AHHHHHH
[tex]0.399 + w = 0.4[/tex]

Answers

Answer:

[tex] \sf \: w = 0.001[/tex]

Step-by-step explanation:

Now we have to,

→ find the required value of w.

The equation is,

→ 0.399 + w = 0.4

Then the value of w will be,

→ 0.399 + w = 0.4

→ w = 0.4 - 0.399

→ [ w = 0.001 ]

Hence, the answer is 0.001.

With a coupon, you can get a pair of shoes that normally costs $84 for only $72. What
percentage was the discount? Show your work!
LZ Math 7

Answers

Answer:

14%

Step-by-step explanation:

How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!

Answers

Answer: 16:6

Count them all together you will get 16!

x-(2x+3)
how to solve and why you change the sign for the +3?

Answers

Answer:

-x - 3

Step-by-step explanation:

x-(2x + 3)

=> x-1(2x + 3)

=> x - 2x - 3

=> -x - 3

Therefore, this is the solution. Hoped this helped.

[tex]GeniusUser[/tex]

Answer:

Step-by-step explanation:

x-(2x+3)

Notice that we can't further simplify the things in the bracket so we should multiply by -1

Technically this is like:

x - 1(2x+3)

-1 times 2x = -2x , -1 times 3 is -3

= x - 2x - 3

= -x - 3

The sum of 3 and m
A.x-3
B.1/2y
C.3+m
D.14+3x
E.x+5
F.14+4x

Answers

Answer:

Step-by-step explanation:

Answer:

the answer is C

Step-by-step explanation:

first of all thank you for reading this

it's addition which 3 + m

The graph represents the fees in thousands of dollars, y, depending on the amount invested in millions, x, with one financial investment firm.
Over what interval is the change constant?
[0, 5)
[1, 5)
[0, 20)
[1, 20)

Answers

The answer is [1,20)

Which of the following are terms in this expression? Select all that apply. 6t+7+9s

Answers

6t and 9s are the terms because they have a variable behind them !

Answer:

6t, 7 and 9s

Step-by-step explanation:

In mathematics, a term is either a single number or variable, or the product of several numbers or variables.

Hope this helps!

This graph shows the amount of (s) money in Jack's account after (w) weeks.

Which equation represents the amount of (s) money in Jack's account after (w) weeks?

Answers

Answer:

s=6w

Step-by-step explanation:

the graph goes up by 6 on the y axis for everyone one that the x moves

Answer:

Step-by-step explanation:

A bag of 12 oranges weighs 4 1/2 pounds, if the oranges are about the same size, how many pounds does each orange weigh

25 POINTS

Answers

0.385

Take the weight of the bag and divide it by the number of oranges in the bag (12) which is:

4.5 / 12 = 0.385

Each orange weighs 0.385 pounds.

Your answer would be 7 7/8 pounds

.hope this helps!

A 7-pound bag of cat food costs $13.93. What is the unit price?

Answers

Answer:

$1.99 is the unit price

Step-by-step explanation:

13.93 divided by 7 determines the unit price

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