1) IF DE = 9, find BC
2) if m<ADE = 80, then find m< ABC
3) If DE = 2x + 7 , and BC = 7x - 1, find BC​

1) IF DE = 9, Find BC2) If M&lt;ADE = 80, Then Find M&lt; ABC3) If DE = 2x + 7 , And BC = 7x - 1, Find

Answers

Answer 1

Answer:

1. BC = 18

2. m<ABC = 80°

3. x = 5

Step-by-step explanation:

1. If DE = 9, therefore:

[tex] BC = 2 \times 9 = 18 [/tex] (based on the midsegment theorem, DE is half the length of the third side, BC)

2. m<ADE = 80°, then,

m<ABC = 80°

This is because m<ADC and m<ABC are corresponding angles. Corresponding angles are congruent.

3. DE = 2x + 7 , and BC = 7x - 1, find BC

Thus:

[tex] BC = 2 \times DE [/tex] (midsegment theorem)

[tex] 7x - 1 = 2 \times (2x + 7) [/tex] (substitution)

Solve for x

[tex] 7x - 1 = 4x + 14 [/tex]

Collect like terms

[tex] 7x - 4x = 1 + 14 [/tex]

[tex] 3x = 15 [/tex]

Divide both sides by 3

x = 5


Related Questions

(4,1) & (6, 7)
Write the equation in point slope form

Answers

mi pan susususususu mi pan...

Point Slop Form Answer: Y - 1 = 3 • (x - 4)

What is the equation of the line with a y-intercept of -10 and a slope of 3?
A.y = -102 - 3
B.y=-10x +3
C.y= 3x - 10
D.y= 3a + 10

Answers

I am pretty sure it’s C

Answer:

c

Step-by-step explanation:

slope is 3 and y intercept is -10 so y=3-10

Factoring trinomials
Select two for each

Answers

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Factors

1.) x^2-4x-60 = (x-10) (x+6)

2.) x^2+10x+24 = (x+4)(x+6)

this app is so useless!

Answers

Answer:

lol ik people dont even come to answer the questions they just come for the points...

Step-by-step explanation:

Answer:

sometimes it is but it helps people cheat soo....

Step-by-step explanation:

help plz i need it very much

Answers

The only triangle with the base being bisected perpendicularly is an isosceles triangle or an equilateral triangle. Therefore, [tex]KJ = KL[/tex]

[tex]KJ = 4x + 9\\KL = 11x - 61\\[/tex]

Since the sides are equal, we can equate the expressions to get the equation:

[tex]4x + 9 = 11x - 61\\11x - 4x = 70\\x = 10[/tex]

[tex]x[/tex] is equal to [tex]10[/tex].

Plug that in [tex]11x - 61[/tex] and you get [tex]110 - 61[/tex] which is [tex]49[/tex]. So, Option B is correct :D

There are 8 big fish for every___ small fish.
There are 4 big fish for every
___ small fish.

Answers

There are 8 big fish for every 10 small fish, ..... 5 small fish.

There are 4 big fish for every 5 small fish.

What is proportion?

The ratio of two numbers a and b is given by a divided by b and represented by a/b or a:b. While the proportion is the relation between two ratios of a/b and c/d is represented by a:b::c:d or a/b=c/d.

Given that, there are 8 big fish for every 10 small fish, we need to find how many are there for 4 big fish for every.

We will solve this by using proportion,

Let the number of small fishes be x

Therefore,

8 / 10 = 4 / x

x = 5

Hence, there are 5 small fish for every 4 big fishes.

Learn more about proportion, click;

https://brainly.com/question/3254974

#SPJ2

What is the output of this function when the input is 0?

Answers

The output or y is 1

I have a simple question please answer it correctly its 10pts and brainiest. :)

Answers

The answer is A because the x repeated. ( the x I’m talking about is 2)

HELPPPPPPP ASAPPP
Tim bought a box of chocolates for $ 650 and sold it to Tom at a profit of $ 75. Find the selling price.​

Answers

Answer:

725$ give brainliest ;)

Step-by-step explanation:

find the domain and range for the following relation.
{(-3,-7),(-1,-3),(0,-1),(2,3),(4,7)}

Answers

The ratio is -3 and -6 and -7

Evaluate |x + y|, for x = 8 and y = -15.

23
7
-7
-23

Answers

Answer:

the answer is 7... ....

Answer:

Today : Saturday, 07 November 2020

Hour: 14.34 WIB (Indonesia)

_______________________________

|x + y|

= |8 + (-15)|

= |-7|

= 7 {Option B}

A balloon rises vertically from point p on level ground. From point a, on level ground 28ft from point p, the angle of elevation to the balloon is 79\deg . How high is the balloon?

Answers

Answer: Balloon is 27.5 ft high.

Step-by-step explanation:

As per the give , we made a diagram (in attachment).

To find the vertical distance from the growth we consider entire triangle as right triangle , where height is making right angle with ground.

in right triangle,

[tex]\sin \theta=\dfrac{Hypoteuse}{height}\\\\\Rightarrow\ \sin 79^{\circ}=\dfrac{28}{height}\\\\\Rightarrow\ 0.98162718344=\dfrac{28}{height}\\\\\Rightarrow\ height = 0.98162718344\times28\\\\\Rightarrow\ height = 0.98162718344\times28\approx27.5[/tex]

hence, balloon is 27.5 ft high.

At the end of a snow storm, Allison saw there was a lot of snow on her front lawn. The temperature increased and the snow began to melt at a steady rate. There was a depth of 20 inches of snow on the lawn when the storm ended and then it started melting at a rate of 1.25 inches per hour. Write an equation for S , S, in terms of t , t, representing the depth of snow on Allison's lawn, in inches, t t hours after the snow stopped falling.

Answers

Answer:

S=20-1.25t

Step-by-step explanation:

I got this answer welcome.

The equation for depth of snow after t hours is, S = 20 - 1.25 t.

What is an equation?

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

Given that,

The initial depth of snow = 20 inches,

Rate of melting = 1.25 inches per hour.

After t hours, the snow melt = 1.25 t

The equation of the S in terms of t can be written as,

S= 20 - 1.25 t.

The required equation is S = 20 - 1.25 t.

To know more about Equation on:

https://brainly.com/question/187506

#SPJ2


A line has an y-intercept of (0,2) and a slope of 3. The point of (a, 11) is also on the line. What
is the value of a? *
(1 Point)
a.)a=1
b.)a=3
c.)a=5
d.)a=4

Answers

the answer is B, a=3

You are given a line that has a slope of 4 and passes through the point (StartFraction 3 Over 8 EndFraction, one-half). Which statements about the equation of the line are true? Check all that apply.
The y-intercept is -1.
The slope-intercept equation is y = 4 x minus 1.
The point-slope equation is y minus StartFraction 3 Over 8 EndFraction = 4 (x minus one-half).
The Point (StartFraction 3 Over 8 EndFraction, one-half) corresponds to (x1, y1) in the point-slope form of the equation.

Answers

Answer:

a,b,d

Step-by-step explanation:

Answer:

a,b,d

Step-by-step explanation:

Find the third side in simplest radical form:
1&3

Answers

Answer:

[tex]\sqrt{10}[/tex]

Step-by-step explanation:

[tex]1^{2} + 3^{2} =x^{2} \\1+9=x^{2} \\10=x^{2} \\\sqrt{10} =x\\[/tex]

Help me with this tooo! It is the question that is not filled in

Answers

you will have 8 tables so

72 chair / 8 tables = 9 chair per table

A bottle of hand lotion is on sale for $2.25. If this price represents a 50% discount from the original price,what is the original price to the nearest percent?

Answers

Step-by-step explanation:

50% is basically half. So if you double the price ($2.25) x 2 you will have your answer.

So the answer is $4.50..!

Please help I have limited time!!

The slope of a line is 6 and it goes through the point (4,5), which function is best
represented by this graph?
y = 6x - 29
y = 6x + 19
y = 6x - 19
y =6x + 29

Answers

Answer:

[tex]y=6x-19[/tex] is the function which best

represented by this graph.

The graph is also attached.

Step-by-step explanation:

As the point-slope form is

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope

Given

m = 6 and the point (4, 5)

substituting the values in the point-slope form

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y - 5 = 6 (x - 4)[/tex]

[tex]y - 5 = 6x-24[/tex]

[tex]y=6x+5-24[/tex]

[tex]y=6x-19[/tex]

Therefore, [tex]y=6x-19[/tex] is the function which best

represented by this graph.

The graph is also attached.

Line m contains the points (−3, 2) and (5 , 1). Line n contains the points (2 , 7) and (1, −1) . Which statement is TRUE about lines m and n?
A. The lines are parallel.
B. The lines are coincident.
C. Both lines intersect but are neither parallel nor perpendicular.
D. The lines are perpendicular.

Answers

9514 1404 393

Answer:

  D.  The lines are perpendicular

Step-by-step explanation:

The first line has a rise of (1-2) = -1 for a run of (5-(-3)) = 8.

The second line has a rise of (-1-7) = -8 for a run of (1-2) = -1.

Then the slopes are -1/8 and -8/-1 = 8, which are negative reciprocals of each other. Lines with slopes having that relationship are perpendicular.

Work out 1 3/4 x 4 1/6

Answers

175/24 is the answer.
ANSWER:
7 7/24 or 175/24

EXPLANATION:
1st: Convert your mixed fractions to improper numbers

2nd: Then you simply multiply them to get your answer

3rd: Make the improper fraction a mixed fraction or leave it as an improper fraction. That’s up to you to decide.

Hope this helps!!

Kelvin rolls a dice twice. The first number he gets is 4. The sum of the two numbers is smaller than 8. Which number CANNOT be the second number?

Answers

Answer:

5, 6

Step-by-step explanation:

When Kelvin rolls the dice twice, he can't get more than a 4 because if he did, the sum of the two numbers would be more than a 8. So, the numbers that cannot be the second number is 5 and 6.

Which of the below images is a translation of ........

Answers

Answer:

B

Step-by-step explanation:

Cause it's the opposite of the original

Answer:

a

Step-by-step explanation:

On the Guardian lines a and B

Answers

Answer:

2 and - 1

Step-by-step explanation:

Calculate the gradients using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, -3) and (x₂, y₂ ) = (3, 7) ← 2 points on line A

[tex]m_{A}[/tex] = [tex]\frac{7+3}{3+2}[/tex] = [tex]\frac{10}{5}[/tex] = 2

with (x₁, y₁ ) = (- 2, 7) and (x₂, y₂ ) = (7, - 2) ← 2 points on line B

[tex]m_{B}[/tex] = [tex]\frac{-2-7}{7+2}[/tex] = [tex]\frac{-9}{9}[/tex] = - 1

which of the following is the value of the expression 2x exponent2+1,when x =2

Answers

Answer:

9

Step-by-step explanation:

use pemdas to evaluate..

2x^2 + 1

2(2)^2 + 1

2(4) + 1

8 + 1 = 9

Colleen compared the ratios 3:8 and One-half. Her work is shown below.


Write the ratios as fractions: Three-eighths and One-half

The common denominator is 8.

Write each fraction using the common denominator: Three-eighths and One-eighth

Compare the numerators: 3 > 1

Write the correct statement: Three-eighths > One-half


Where did Colleen make her first mistake?

A. The common denominator should be 4 rather than 8.

B. The numerators are compared incorrectly.

C. The fraction One-half should have been rewritten as 6 Over 8

D. The fraction One-half should have been rewritten as 4 Over 8

Answers

Answer: d

Step-by-step explanation: just took the test

-3-(0.5) on a number line

Answers

Answer:

-3.5

Step-by-step explanation:

mark on the left side of the number line where -3.5 is.

Help me out here pleaseeeeeeeee.

Answers

Answer:

[tex]\frac{4}{5}[/tex]

Step-by-step explanation:

A fraction is in simplest form when no other factor but 1 will divide into the numerator/ denominator

[tex]\frac{5}{10}[/tex] ← divide numerator/ denominator by 5

=[tex]\frac{1}{2}[/tex]

[tex]\frac{4}{5}[/tex] ← is in simplest form

[tex]\frac{6}{10}[/tex] ← divide numerator/denominator by 2

= [tex]\frac{3}{5}[/tex]

[tex]\frac{8}{12}[/tex] ← divide numerator/denominator by 4

= [tex]\frac{2}{3}[/tex]

[tex]\frac{4}{5}[/tex] is the only fraction given in simplest form

An independent study commissioned by the stadium showed that running a cable TV ad 5 times daily for a week generated 1,200 ticket sales. The stadium wants to sell out an upcoming show, which requires the sale of 13,200 tickets. How long should the stadium run the cable ad in order to reach this target?

Answers

Answer

I think 55 times

Step-by-step explanation:

13,200/1,200 = 11

5/1200 =  x/13,200

so if 1,200*11=13, 200 then 5*11= 55.

btw , could u give me the brainliest if i am right?

The total time the stadium runs the cable ad in order to reach this target is 11 days and this can be determined by using the unitary method.

Given :

Running a cable TV ad 5 times daily for a week generated 1,200 ticket sales. The stadium wants to sell out an upcoming show, which requires the sale of 13,200 tickets.

The following steps can be used in order to determine the total times the stadium run the cable ad in order to reach this target:

Step 1 - The unitary method can be used in order to determine the total times the stadium runs the cable ad in order to reach this target.

Step 2 - According to the given data, running a cable TV ad 5 times daily for a week generated 1,200 ticket sales.

Step 3 - If running TV ad 5 times daily sales 1200 tickets then to sell 13200 tickets the total times the ad is running is:

[tex]=\dfrac{13200}{1200}\times 5[/tex]

= 55 times

Step 4 - Now, if 5 times ad running in one day then 55 times ad running in:

[tex]=\dfrac{55}{5}\times 1[/tex]

= 11 days

For more information, refer to the link given below:

https://brainly.com/question/25834626

plz show work....hellp

Answers

Answer:

f(-12) = -15

Step-by-step explanation:

f (-12)

we put -12 in place of x

-12 - 3 = -15

so, f(-12) = -15

Other Questions
How the land was obatain in indiana? Write the fractional equivalent (in reduced form) to each number100.125 =0.16 What was not among the five things the invaders hoped for?beautiful womenfast horsesfruit treesseafood Okay so pleaseee help a girl out my grade in this class is a 22 and its abt to be the end of the grading period. If someone could be so kind and give me all 10 of the answers, pleaseee!! PLS HELP I AM RunNInG LOW ON PONITS AND WONT BE ABLE TP REPOst Solve the equation. If necessary [tex] \frac{3}{4}x + 2x = - \frac{1}{4} + \frac{1}{2}x + 5[/tex] I will give 10 points please help I hate imagine math its in the photo The value of the function f (x) is 15/2 when x = -5 and is -73/2 when x = 3. What is the equation of the function? Identify the clauses and point it whether it is a Noun Clause, Adjective Clause, or Adverb Clause.1. The bankers need to know what they should do2. The books, which are lost, are not really necessary.3. Whether you like it or not, you have to go to bed now.4. Students who are intelligent get good grades.5. No one knows who he is.6. When I was younger, I thought so.7. He laughs best who laughs last.8. I went to see what had happened.9. He met a girl whose eyes were blue.10. I shall remain where I am.Identify the tenses of each sentence._____________1. The twins, RJ and CJ have planned to take up Business Administration._____________2. Visitors from the different campuses came here yesterday._____________3. Mother is going to be harvesting her crops in the next few days._____________4. I shall have finished reading the book Women are crazy, Men are stupid, by Monday._____________5. I was busy making my power point presentation when the lights went out. What is the product of (9) (-9) (-1)? Water and octanol are immiscible. This means that if you add them together, they will not mix, blend, or form a solution. Thus, when you pour them both in a beaker, you will see two separate layers. If you pour octanol (density = 0.824 g/mL) and water (density = 1.00 g/mL) into the same beaker, which layer will be on the bottom? Why? What do disability insurance and life insurance have in common?A. Both are provided by your employer at the employers expense.B. Both charge the same amount for the policy premium.C. Both cover an unexpected loss of income.D. Both cover beneficiaries in the event of your death. what mass of potassium chlorate should be required to produce 113 L of oxygen O2. measured at STP g meaning of micro process Question 2England's first activity in the New World was to? If f(x) = 2x 4 and g(x) = x 2 4x, find each value. This structure is the boundary of the cell that separates everything inside of the cell from everything in theoutside world. But it does so much moreit also enables passage of the necessary molecules into the celland allows waste material to exit the cell.] PLEASE HELP WILL mark brainliest Which number line model represents the expression -5 + (-2.5). please help: