Answers
Answer:
DE = 27
Step-by-step explanation:
From the picture attached,
Points D and E are the midpoints of the segments AC and BC and DE is the mid-segment joining these points.
By the mid-segment theorem,
A segment joining midpoints of the two sides of a triangle is parallel to the third side. length of mid-segment is half of the 3rd side in measure.
DC = [tex]\frac{1}{2}\text{AB}[/tex]
(2x + 13) = [tex]\frac{1}{2}(13x-37)[/tex]
2(2x + 13) = (13x - 37)
4x + 26 = 13x - 37
13x - 4x = 26 + 37
9x = 63
x = 7
DE = 2x + 13
= 2(7) + 13
= 14 + 13
= 27
Related Questions
Write the following in slope-intercept form.
Answers
Answer:
[tex]\huge\boxed{y=4x-7}[/tex]
Step-by-step explanation:
Linear equations will always be in the form [tex]y=mx+b[/tex], where m is the slope and b is the y-intercept
Since we know nothing about this equation, other than the fact that there are two points in it, we must find the slope and the y-intercept.
Luckily, we have two points to work with. We know that the slope between two points will be the change in y divided by the change in x ([tex]\frac{\Delta y}{\Delta x}[/tex]), so we can use the two points given to us to find both changes.
The y value goes from 1 to 17, which is a [tex]17-1=16[/tex] change.
The x value goes from 2 to 6, which is a [tex]6-2=4[/tex] change.
Now that we know both changes, we can divide the change in y by the change in x.
[tex]\frac{16}{4}=4[/tex]
Now that we know the slope (4), we can plug it into our equation ([tex]y=mx+b[/tex]).
[tex]y=4x+b[/tex]
Now all we need to do is find the y-intercept. Since we know the slope and one of the points the line passes through, we can find the y-intercept by substituting in the values of x and y. Let's use the point (2, 1).
[tex]1 = 4(2) + b[/tex][tex]1 = 8+b[/tex][tex]b = 1-8[/tex][tex]b = -7[/tex]Therefore our y-intercept is -7. Now that we know the slope and the y-intercept, we can plug it into our equation.
[tex]y=4x-7[/tex]
Hope this helped!
30 points :) please answer this question for me pleaseee its for homework
please answer it and dont just put a random answer ):
Answers
Answer:
boottom left middle left and top right
Step-by-step explanation:
A soup that serves 8 people calls for 1 cans of chopped clams. 2 cups of chicken broth, 3 cups of milk, and 2 cups of cubed potatoes. Using the ratio provided in this problem and in the table, complete the rest of the table for each amount of people.
Answers
Answer:
We’ll, I need the table to answer that.
Step-by-step explanation:
Suppose a is an angle in standard position whose terminal side lies in Quadrant III.
If tan a = 2/3 find the value of sin a.
Answers
Answer:
Step-by-step explanation:
This is a simplified solution.
A marching band is practicing. The band director sees the drum major hit a drum. How far away is the director if he hears the drumbeat in 0.40 seconds? The speed of sound is 330 m/s.
12 m
132 m
264 m
825 m
Answers
Answer:
132 m
Step-by-step explanation:
distance= speed*time
d=0.4*330
=132
The distance between the director and the drum will be; 132 m.
What is speed?Speed can be calculated as the ratio of distance traveled to the time taken.
Sound is a vibrate that move through a medium that can be solid, liquid or gas in the form of mechanical wave. In short, sound is an energy made by vibration.
Noted that the intensity of the sound is decrease by the length of the travel it pass or we can say, the far the sound source from the listener, the minor the sound they can hear.
The formula of the sound in correlation with time of hear and distance is ;
time of hear = speed of sound : distance.
As per data given, time of hear = 0.40s;
speed of sound = 330 m/s.
The distance will be:
Distance= speed x time
d = 0.4 x 330
d = 132
Learn more about speed here;
https://brainly.com/question/7359669
#SPJ6
Find the slope of the line that passes through the point (4,8) and (3,-3)
WRITE YOUR ANSWER AS A DECIMAL AND ROUND TO THE NEAREST TENTH (1 decimal place)
Answers
Answer:
I don't think it's possible for this to be a decimal because the slope is positive 11.
Step-by-step explanation:
Use slope formula. x2-x1/y2-y1. Since we always go with the smaller x value we do 8-(-3) / 4-3/ We'll get 11 for 8-(-3) and we'll get 1 for 4-3/ so that leaves us with 11/1 which can't be simplified and has no decimal.
Help Mee!!! What’s the answer
Answers
Answer:
A.
Step-by-step explanation:
how many eighth size parts do you need to model 3/4
Answers
Answer:
You need 6, 1/8 parts to make 3/4
Step-by-step explanation:
The answer is 6 because 1/8 multiplied by 6 is 6/8 and 6/8 simplified is 3/4
6/8ths is the correct answer
bruh
A snow-cone machine priced at $139 is on sale for 20% off. What is the price of the snow-cone machine after the discount?
Answers
Answer:
The answer would be 127. 03
Step-by-step explanation:
help a brudda out its easy work bruddas
Answers
Answer:
Line 1 is y=-x-2
Line 2 is y=[tex]-\frac{1}{5}x+2[/tex]
Slope of Line 1 is -1 Slope of Line 2 is -[tex]\frac{1}{5}[/tex]
Y-intercept of Line 1 is -2 and Y-Intercept of Line 2 is 2
Following statements true: 1, 2, 4
Step-by-step explanation:
Independent or Dependent?
Answers
Answer:
independent
Step-by-step explanation:
I have a question this is the picture
Answers
Answer:
The answer is D
Step-by-step explanation:
If you plug them into Desmos, they'll line up
The equation 125 + 37.52x = y models the amount of money in your wallet Y is the total amount of dollars and x is the number of weeks from today. Is the equation in slope intercept form? Explain
If you graphed this situation what would the slope represent? Explain
If you graphed this situation what would the y intercept be and what would it represent?
What units make sense for the slope?
Answers
Answer:
Please check solution for answer
Step-by-step explanation:
The general equation of for the slope of a line is
y = mx + c
where m is slope and c is the y-intercept
a). Yes it is in the slope-intercept form
b) The slope would represent the amount of money in dollars per week that is in the wallet
c) The y-intercept would be 125 and it is the amount of money present in the wallet before today
d) The slope would have a unit of dollars per week
How do you dilate a figure on the coordinate plane and determine its scale factor?
Answers
Answer:
All you have to do is scale up the coordinates of the plane by the factor. Multiply the values of each coodinate by the scale factor.
Step-by-step explanation:
This is an example of a(n)?
A) Contraction
B) Enlargement
Answers
Answer:
A) Contraction
Step-by-step explanation:
Answer:
The answer to this question is Contraction.
what does the amount of markup or markdown represent in a percent equation?
Answers
Answer:
sometimes is called the cost or wholesale price
Which statements are TRUE? Select all that apply. Marisa drives 112 miles in 1 hour and 45 minutes, which means her speed is 64 miles per hour. If 6 pens cost $7.74, then 7 pens cost $9.03. If Raymond drives at a speed of 57 miles per hour, then it takes him 4 hours and 10 minutes to drive 256.5 miles. If 17 identical cans of soup cost $38.59, then 3 of the cans must cost $6.81. Mr. Mayes buys two dozen eggs for $8.40, which means that he pays 70 cents per egg.
Answers
Answer: See explanation
Step-by-step explanation:
a. Marisa drives 112 miles in 1 hour and 45 minutes, which means her speed is 64 miles per hour.
Speed = Distance / Time
= 112 / 1 45/60
= 112 / 1 3/4
= 112 × 4/7
= 64 miles per hour.
TRUE
b . If 6 pens cost $7.74, then 7 pens cost $9.03.
Cost of one pen = $7.74/6 = $1.29
Cost of 7 pens = $1.29 × 7 = $9.03
TRUE
c. If Raymond drives at a speed of 57 miles per hour, then it takes him 4 hours and 10 minutes to drive 256.5 miles.
Speed = Distance / Time
Speed = 256.5 / 57 = 4.5 = 4 hours 30 minutes
FALSE
d. If 17 identical cans of soup cost $38.59, then 3 of the cans must cost $6.81.
Cost of one can = $38.59 / 17 = $2.27
Cost of 3 cans = $2.27 × 3 = $6.81
TRUE
e. Mr. Mayes buys two dozen eggs for $8.40, which means that he pays 70 cents per egg.
A dozen = 12
2 dozens = 12 × 2 = 24
Cost of one egg = $8.40 / 24 = 0.35 = 35 cents
FALSE
In order to evaluate energy demand for heating services, the number of heating degree days are calculated. The number of heating degree days can be calculated by the formula H = 65 - T, where 65 is degrees Fahrenheit, and T is the average of the high and low temperatures for the day. If the high temperature for a day was 52°F and the low temperature for the same day was 45°F, what is the number of heating degree days?
Answers
Answer:
The number of heating degree days is 16.5.
Step-by-step explanation:
First, we calculate the average of the high ([tex]T_{H}[/tex]) and low temperatures of the day ([tex]T_{L}[/tex]), measured in degrees Fahrenheit. If we know that [tex]T_{H} = 52\,^{\circ}F[/tex] and [tex]T_{L} = 45\,^{\circ}F[/tex], then the average temperature ([tex]T[/tex]), measured in degrees Fahrenheit, is:
[tex]T = \frac{T_{L}+T_{H}}{2}[/tex] (1)
[tex]T = \frac{45\,^{\circ}F+52\,^{\circ}F}{2}[/tex]
[tex]T = 48.5\,^{\circ}F[/tex]
And the number of heating days is:
[tex]H = 65-48.5[/tex]
[tex]H = 16.5[/tex]
The number of heating degree days is 16.5.
Todd and Agnes are making desserts. Todd buys peaches and a carton of vanilla yogurt. Agnes buys the same number of pieces of fruit. Is there a situation in which they pay the same amount for their purchases?
Answers
Answer:
8 fruits
Step-by-step explanation:
Todd and agnes are making desserts. todd buys
peaches and a carton of vanilla yogurt. agnes
buys apples and a jar of honey. they bought
the same number of pieces of fruit. is there a
situation in which they pay the same amount for
their purchases? explain.
apples
peaches=
$1.25 for peaches
$1.00 for apples
yogurt
honey=
$4 for yogurt
$6 for honey
Todd:
Peaches + yogurt
1.25x + 4
Agnes:
1.00x + 6
Where,
x = number of pieces of fruit
Equate the cost of Todd and Agnes
1.25x + 4 = 1.00x + 6
1.25x - 1.00x = 6 - 4
0.25x = 2
x = 2/0.25
= 8
x = 8 fruits
The situation in which they both pay the same amount for their purchases is when they buy 8 fruits each
6x +1.5x = 2
What is x=

Answers
[tex]\boxed{x=\frac{4}{15},~0.2667}[/tex]
Solution Steps:______________________________
1.) Combine 6x and 1.5x:[tex]6x+1.5x=7.5x[/tex]- You combine since these are like terms.
Equation at the end of Step 1:
[tex]7.5x=2[/tex]2.) Divide both sides by 7.5:[tex]7.5x[/tex] ÷ [tex]7.5=x[/tex][tex]2[/tex] ÷ [tex]7.5=[/tex]- We divide because we want to get x alone.
Equation at the end of Step 2:
[tex]x=\frac{2}{7.5}[/tex]3.) Expand the fraction by multiplying both numerator and the denominator by 10:[tex]2[/tex] × [tex]10=20[/tex][tex]7.5[/tex] × [tex]10=75[/tex]- We turned this into a fraction because we couldn't divide properly.
4.) Reduce the fraction to lowest terms by extracting and canceling out 5:[tex]20[/tex] ÷ [tex]5=4[/tex] [tex]75[/tex] ÷ [tex]5=15[/tex]- This step just means divide the lowest amount possible, which in this case is 5.
______________________________
7/15 - 2/5
please can someone do a step by step? thank you
Answers
Answer:
1/15
Step-by-step explanation:
1.) Make the denominator equal by turning the 5 into a 15 (In order to subtract it properly)
2.) Make the 2 correspond with the denominators. In this case multiply by 3 because 5 goes in to 15 3 times. Equation Now: 7/15 - 6/15
3.) Subtract the numerators to get your answers
4.) Final Answer: 1/15
Sammy Sales had the following receipts for his tree trimming business for the first six months of the year. What is the average of his sales for this period? (Use a thousands comma where applicable.) Jan. Feb. Mar. Apr. May Jun. $1,205 $1,450 $1,530 $1,655 $1,610 $1,710 $
Answers
[tex]average = \frac{sum \: \: of \: \:all \: \: obeservations}{no. \: \: of \: observaions} [/tex]
[tex] = \frac{1205 + 1450 + 1530 + 1655 + 1610 + 1710}{6} [/tex]
[tex] = \frac{9160}{6} [/tex]
[tex] = 1526.66[/tex]
___________________________________________
1526.66 is the average of his sales for this period.
Solve by using substitution. Express your answer as an ordered pair.
Answers
Answer:
(1, -2)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
4x + y = 2
y = x - 3
Step 2: Solve for x
Substitution
Substitute in y: 4x + (x - 3) = 2Combine like terms: 5x - 3 = 2Isolate x term: 5x = 5Isolate x: x = 1Step 3: Solve for y
Define equation: y = x - 3Substitute in x: y = 1 - 3Subtract: y = -2Noah bought a new car. It gets 21.7 miles per gallon
of gas on the highway. His gas tank is able to hold 14
gallons of gas. How many miles can Noah travel on the
highway on one tank of gas?
FIRST TO ANSWER GETS BRAINIEST
Answers
A rectangular garden is 4 feet wide and 9 feet long. The dimensions of the pool are 150% larger than the dimensions of the garden.
What are the dimensions of the pool?
600 feet wide and 1350 feet long.
6 feet wide and 13.5 feet long
5.5 feet wide and 10.5 feet long
8 feet wide and 18 feet long
Answers
================================================
Work Shown:
150% = 1.5 after moving the decimal 2 spots to the left
Multiply this with each of the dimensions given
4*1.5 = 6
9*1.5 = 13.5
The pool is 6 feet by 13.5 feet
Help needed ASAP will give brainliest and 5 STARS VOTE RATE
Answers
Answer:
Nebula
Step-by-step explanation:
Please help I’ll give you guys brainiest!
Thank youuuuuuu :))
Answers
Answer:
what are you supposed to solve for?
Step-by-step explanation:
Answer:
Can anyone say what are we supposed to ans or solve
Simplify the following problem.
| -48 – (-5) |
Answers
Answer:
the answer is -43 it is right
Answer:
-43
Step-by-step explanation:
What are some common color associations? Pick at least three colors, and list their corresponding associations.
Answers
Answer:
Red, Yellow, Blue
Step-by-step explanation:
They are the primary colors,
or you can use Violet, Green, And Orange
These are secondary colors
please please help i’ll give brainliest tysm :)
Answers
Explanation: $7.50 divided by 6
BRAINLIEST please
Answer:
It's the top answer or A.
Step-by-step explanation:
Because if you have 6 avocados for 7.50 just divide without including the decimal point. 750 divided by 6 is 125
include the decimal point in between 1 and 2
boom 1.25