Determine if DE is parallel to AC. Show all your work!!!
24
40
E
22.5
D
15
B

Determine If DE Is Parallel To AC. Show All Your Work!!!2440E22.5D15B

Answers

Answer 1

Answer:

Step-by-step explanation:

We will prove the converse of the postulate,

"If a line parallel to one side of a triangle and it intersects other two sides of the triangle, then the line will divide both the sides in the same ratio"

Segment DE intersects AB and BC at D and E respectively,

Ratio of the segments of two sides,

[tex]\frac{AD}{DB}=\frac{CE}{EB}[/tex]

[tex]\frac{22.5}{15}=\frac{24}{40-24}[/tex]

1.5 = 1.5

True.

Therefore, lines AC and DE are parallel.


Related Questions

Hans wanted to find the length of the hypotenuse of the triangle. Which statement correctly identifies his error?

A right triangle has side lengths 40 centimeters and 9 centimeters. The hypotenuse is labeled c.

9 squared + 40 squared = c squared. 81 + 80 = c squared. 161 = c squared. StartRoot 161 EndRoot centimeters = c.
He did not square 40, he just multiplied by 2.
He did not finish the problem. He should have divided 161 by 2 to find the square root.
He should have added 9 + 9 to find the value of 9 squared.
He should have subtracted the two squares to get 40 squared minus 9 squared = c squared because numbers get too large if both legs are squared and then added together.

Answers

Answer:

He did not square 40, he just multiplied by 2

Answer 41 centimeters.

Step-by-step explanation:

C²=40²+9²

C²=1600+81

C²=1681

√c²=√1681

C=41cm

Answer:

the answer is A

Step-by-step explanation:

edg

antonio and emilia are painting a room in their new house. antonio could finish the job in only 6 hours by himself, while emilia could finish the job in only 4 hours by herself. how long would it take them if they worked together?​

Answers

Answer:

Step-by-step explanation:

Antonio’s rate is 1/6 while Emilia’s rate is 1/4 while working alone, together they will complete the job when.

t/6+t/4=1 making common denominators

(t/6)(2/2)+(t/4)(3/3)=1

(2t+3t)/12=1

5t=12

t=2.4 hours (or 2 hours and 24 minutes)

A 12-ounce box of cereal costs $3.60. Which equation correctly relates the price (p) with the weight (w) of the cereal?

Answers

Answer:

A. P = 3.3w

Step-by-step explanation:

A. P = 3.3w

B. P = 0.3w

C. P = 3.6w

D. P = 12w

P = price of the cereal

w = weight of the cereal

p = $3.60

w = 12-ounce

3.60p = 12w

Divide both sides by 3.60

3.60p / 3.60 = 12w / 3.60

P = 3.3w

The correct answer is A. P = 3.3w

Simplify (2i-1)(i^2-3i-7)

Answers

Answer: 14-13i

Step-by-step explanation:

Answer:

14 - 13i

Step-by-step explanation:

We MUST do the work inside parentheses before anything else.

Step 1:  evaluate i^2:   (2i-1)(i^2-3i-7) =  (2i-1)(-1 -3i -7)

Step 2:  combine like terms inside the parentheses:  (2i-1)(-8 - 3i)

Step 3:  perform the indicated multiplication of binomials:

             -16i + 6 + 8 + 3i

Step 4:  combine like terms of the above expression:  14 - 13i

What is MCAD
A. 25
B.90
C.100
D.115
Please help!!!!

Answers

Answer:

D.115

Step-by-step explanation:

Use the exterior angle of a triangle theorem which states that the exterior angle of a triangle is equal to the sum of the opposite interior angles meaning D=C+B

find the area of the semi circle please ​

Answers

Answer:

58.4197cm^2

Step-by-step explanation

cirlce area formula: [tex]\pi[/tex]r^2

r= 6.1

[tex]\pi[/tex]=3.14

Now plug numbers into the formula

area of circle:

= (3.14)(6.1^2)

=(3.14)(37.21)

= 116.8394cm^2  ------> area of full circle

now divide by 2, to find area of semi circle

116.8394/2= 58.4197cm^2

[tex] \huge\fbox\red{A}\fbox\pink{n}\fbox\purple{S}\fbox\green{w}\fbox\blue{E}\fbox\orange{r}[/tex]

area of semicircle is 58.572 m²

[tex] \huge \sf { \fcolorbox{green}{g}{Explanation :- }}[/tex]

[tex] \huge \underline{\large \fbox \red{Concept : }}[/tex]

We have to find the area of semicircle

So firstly we need to find the area of circle. because the semicircle of circle is the half of area of circle so first we find the area of circle then divide by 1 /2 then we get the area of semicircle.

We have given the radius of circle is 6.1 m

[tex]\huge\mathfrak\red{Solution : }[/tex]

[tex] \mathfrak \green{Area \: of \: circle = π × ( radius) ²}[/tex]

[tex]\mapsto \: \: \small \: \: \: \: \: \mathfrak \blue{ = \frac{22}{7} \: \times( 6.1 \: m)^{2} } \\ [/tex]

[tex]\mapsto \small \: \: \: \: \: \mathfrak \blue{ = \frac{22}{7} \: \times37.21 \: m {}^{2} } \\ [/tex]

[tex]\mapsto \: \small\: \: \: \: \: \: \mathfrak \blue{ = 116.94 \: m {}^{2} }[/tex]

Therefore,

[tex]\small \mathfrak \red{Area \: of \: semicircle = \frac{1}{2} \times area \: of \: circle}[/tex]

[tex] \small \mathfrak \green{ = \frac{1}{2} \times 116.94 \: cm \: {}^{2} } \\ [/tex]

[tex]\mapsto \: \small\: \: \: \: \: \: \mathfrak { = 58.472\: m {}^{2} }[/tex]

[tex] {\underline {\fbox\red{Hence, the area of semicircle is 58.572 m²}}}[/tex]

HELP ME ASAPPPP PLEASE HLEPPPPPO

Answers

Answer:

14800 sq yd

Step-by-step explanation:

area of a trapeziod

A fmaily wants to rent a van for a four day camping trip. The rental cost is $32.00 per day plu s$0.15 per miles driven. Their vacation budget allows them to spend $225.00 to rent the van. Which expression represents the number of miles that they can drive without going over their budget?

Answers

Answer:

The expression is: (225 - (32 × 4))/0.15

Steps:

first we'll calculate the rental cost of 4 days without the miles driven

32 × 4 = $128.00

now we'll calculate the money that can be spent on miles

225 - 128 = $97.00

with $97.00 they can drive: 646.66 miles

97 / 0.15 = 646.66 miles

The expression is: (225 - (32 × 4))/0.15

The top five test scores in Mr. Rhodes’s class were: 98, 92, 96, 97, and 97. What is the mean absolute deviation?

Answers

Answer:

A

Step-by-step explanation:

WILL GIVE BRAINLIEST!
Find x given y = 28° from the figure below.
x =

Answers

[tex]5x + x + y + 2x = 180 \\ y = 28 \\ 5x + x + 28 + 2x = 180 \\ 8x + 28 = 180 \\ 8x = 180 - 28 \\ 8x = 152 \\ x = 19[/tex]

x=?
y=28
2•x+x+y+5•x=180
2x+x+5x+28=180
8x=180-28
8x=152
x=152/8
x=18

I need to find the angle for each number spot

Answers

Angels 4,5,8 will all be 152. Angels 2,3,6,7 will be 24.

Betty wants to put new cabinets in her kitchen. She measures one side of her kitchen and finds it measures 18 meters. Which measurement did Betty find?

Answers

Answer:

A. Length

Step-by-step explanation:

Betty wants to put new cabinets in her kitchen. She measures one side of her kitchen and finds it measures 18 meters.

Which measurement did Betty find?

A. Length

B. Perimeter

C. Area

The measurements Betty found is the length of the cabinet

A side of the cabinet is equivalent to the length of such cabinet

To find the perimeter of the cabinet, it requires the addition of all the sides of the cabinet.

To find the area of the cabinet, it requires the multiplication of two different sides of the cabinet.

Therefore, Betty has only measured the length of the cabinet

The area of the triangular base of the prism above is 9 cm2. The height of the prism is 11 cm.
What is volume of the prism?
A.99 cm3
B.891 cm3
C.1,089 cm3
D.29 cm
PLEASE HELP!!!!! Much appreciated!

Answers

Answer:  B

Step-by-step explanation: first you have to find the square root of 9 (81) then multiply that by 11 which is 891

jose is now six years older than john. in two years jose will be twice as old as john. How old is john now.

Answers

Answer:

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Step-by-step explanation:

Answer:

John is currently 6 years old.  

You can find this by setting John's original age as x and Jose's original age as x + 6. Then we can set up an equation adding two to both.  

John's new age = x + 2

Jose's new age = x + 8

Now we can multiply John's new age by two and set equal to Jose's age, since Jose's new age is twice as much as John's.  

2(x + 2) = x + 8

2x + 4 = x + 8

x + 4 = 8

x = 4

This means John's original age is 4 and his new age is 6.  

Step-by-step explanation:

Hey guys 25 points and brainliest!

Answers

Answer:

9.1 = a + 4

Step-by-step explanation:

CAN U PLS ANSWER WILL GIVE BRAINLIEST

Answers

Answer: 20 hrs

Step-by-step explanation:

Barry carefully measured all three sides of the triangle and the dimensions were as follows: 7 meters, 8 meters, 10 meters. Was it a Right Triangle? Please help!

Answers

Answer: Not a right-angled triangle

Step-by-step explanation:

Given

The sides of a triangle are [tex]7\ m, 8\ m, \text{and}\ 10\ m[/tex]

For a right-angle triangle, it must satisfy the Pythagoras theorem

[tex]a^2+b^2=c^2[/tex]

i.e. the square of the larger side must be equal to the sum of the square of the remaining two sides

Here,

[tex]\Rightarrow 7^2+8^2\ ?\ 10^2\\\Rightarrow 49+64\ ?\ 100\\\Rightarrow 113\neq 100[/tex]

Therefore, it is not a right-angle triangle

Write an equation for each circle

1. center (-1,-5);r = 2 units
3. center (-8, 7); r = 12 unit
5. center (0.5, 0.7); r = 13.5 unitsand

Answers

Yep what the girl said

Can I find the scale factor for a point with 2 different scale factors? (one for the x-axis and one for the y-axis)

Answers

Answer:

Yes

Step-by-step explanation:

Scale factor is the ratio of the length of one side of a point/figure to a similar side in another point or figure.

The scale factor can either be less than one(1) or greater than one(1) depending on the figure/ point you begin from when finding the scale factor.

Hence you can find the scale factor for a point with 2 different scale factors

In a race , Ram covers 5 km in 20 min. How much distance will he cover in 100 min ? ( 348919)

Answers

Answer:

Ram will cover 25 km in 100 min's

Step-by-step explanation:

Hope this helps (^w^)

Answer:

hello :> UvU

Step-by-step explanation:

Plssss i need your helpppp huhuhu

Answers

Answer:

136 cm²

Steps:

LA = π × 8 × √(15²+8²)

LA = π × 8 × √(225+64)

LA = π × 8 × √(289)

LA = π × 8 × 17

LA = π × 136 cm²

can somebody please help me, this is due in 20 minutes​

Answers

Answer:

61°

Step-by-step explanation:

In order for triangle LMN and PQR to be congruent, angle M and angle Q must equal. thus, we can set 2x-26=x+16

with basic algebraic manipulation, x=42. we then plug it back into the angle M or Q, getting angle M/Q= 58°

since this is a isoceles, the 2 base angle are identical, so 180= 58+2(angle P)

thus, angle P= 61

I need to get in helppppppppppp
#9

Answers

start off with yes and say how school work is a priority for you and you’d be willing to put in the dedication

Last year Rikki sang 960 songs with his rock band. How many songs did he sing per month? How did you get your answer?

Answers

Answer:

80 songs per month.

Step-by-step explanation:

There are 12 months in a year

So you do 960 divided by 12 to see how many songs he sang per month

And you get 80.

A silk worm grows twice asd long as it was the day before .If the worm measures v40 mm on the 10 th day, on which day was it 2.5 mm long

Answers

Answer:

On the sixth day (10 - 4), the worm was 2.5mm long.

Step-by-step explanation:

Giving the following information:

Future Value= 40mm

Present Value= 2.5mm

Number of periods (n)= ?

Growth rate= 100% per day

First, we need to calculate the number of days it will take to grow from 2.5mm (PV) to 40mm (FV):

n= ln(FV/PV) / ln(1+i)  

n= ln (40 / 2.5) / ln (2)

n= 4

It will take 4 days.

On the sixth day (10 - 4), the worm was 2.5mm long.

[tex][Inequalities][/tex]
[tex]Please[/tex] [tex]help[/tex] [tex]and[/tex] [tex]thanks.[/tex]

Answers

Answer:

1+X < 52

6 < Y- 4

Step-by-step explanation:

btw y did u report me on

https://brainly.com/question/22537441

This is right? Isn’t it???

Answers

Yes you are correct!!!!!!!!!!

Can someone help me please? I keep getting this wrong. Match the reasons for the statements. Thank you!

Answers

Answer:

Step-by-step explanation:

Given is 1

Corresponding angles Postulate is 2

Substitution is 4

Same side theorem is 3

helppp :))) i- wasnt listening

Answers

Answer: 130 cm

Step-by-step explanation:

Let's take the equation for the volume of a rectangular prism

V=Length * Width * Height (L*W*H)

[tex]V=W*L*H[/tex]

V=2*13*5

[tex]V=2*13*5[/tex]

V=130 cm

[tex]V=130cm[/tex]

Pls help! brainliest if correct and 50 points awarded! look at the image! :)

Answers

Answer:

A and D

Step-by-step explanation:

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