Find the length of DF or state what additional information you would need to find it.
Answers
Answer:
DF=3.75
Step-by-step explanation:
24/6=15/x
cross multiply to get 24x=90
x=3.75
The length of side DF will be 5 units.No more additional information would need to find, all the information is already given.
What is the congruent triangle?Congruent triangles are those that are exactly the same size and shape. Congruent is represented by the symbol ≅ When the three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle, they are said to be congruent.
All the given information is shown in the figure attached.
Since the two triangles are congruent the ratio of their sides is equal,
BC / EF = AC / EF
Suppose the length of side DF is x.
20/DF=24 /6
20/x = 24 / 6
x = 20 / 4
x=5
DF = 5 units
Thus, the length of side DF will be 5 units.No more additional information would need to find, all the information is already given.
Learn more about the congruent triangle here:
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Related Questions
Given: SIn(A)= 4/5 ,pi/2 < A< pi and sin(B)= -2square5/5, pi < B < 3pi/2
What is the value of cos(A-B)
A. -2square5/25
B. -square5/5
C. 2square5/5
D. 11square5/25
Answers
Complete the steps to solve for x.
-0.51x + 0.21x = 6.3
- 0.51x + 0.21x = 6.3
x = 6.3
Answers
Answer:
Step-by-step explanation:
-0.51x+0.21x=6.3 combine like terms
-0.3x=6.3 divide by -0.3
x= -21
Enter the equation of the line in slope-intercept form. Enter the answer in fraction form.
The line perpendicular to y =
5
3
x + 8 that passes through (5, −1).
The equation of the line that passes through (5, −1) is y = .
Answers
Answer:
25
Step-by-step explanation: this is because you have a negative
helppp me plssss because it’s a test
Answers
Answer:
3
Step-by-step explanation:
I need help with this
Answers
Answer: 0.6 grams
Step-by-step explanation: divide grams by cm and its 0.6
Of the 150 students that attended the science camp, 82 were sixth graders. Marco says that less than half of the campers were sixth graders. Is he correct? Tell why or why not. Use a benchmark percent to support your answer.
Answers
Answer:
Incorrect
Step-by-step explanation:
150 students are 100%,
82 students are x%
(82*100)/150=54,67%, so that is more than half of all students
Answer:
Marco is NOT correct
Step-by-step explanation:
150 / 2 = 75
so more than half of the students were 6th graders
55% of students were 6th graders, that's my benchmark but I'm not really sure.
all quadrilaterals are polygons true or false
Answers
Answer:
True
Step-by-step explanation: because they have 4 sides
All quadrilaterals are polygons because they are 2-dimensional closed shapes made up of interconnected straight lines, with four sides and angles.
Hence the given statement is true.
Sincw we know that,
A polygon is defined as a 2-dimensional closed shape made up of straight lines that are interconnected with each other at their endpoints. A Quadrilateral is a polyhedron that consists of four straight sides or edges.
The term quadrilateral is derived from two Latin words "quadri" meaning four and "latus" meaning sides.
It is important to note that not all polygons are quadrilaterals, but all quadrilaterals are indeed polygons.
Some examples of quadrilaterals include squares, rectangles, parallelograms, trapezoids, and rhombuses.
These shapes share certain properties such as having four sides and angles, with the sum of their interior angles adding up to 360 degrees.
To learn more about polygons visit:
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Nadia is a stockbroker. She earns 13% commission each week. Last week, she sold $4,500 worth of stocks. How much did she make last week in commission? If she averages that same amount each week, how much did she make in commission in 2011?
Answers
Multiply amount sold by commission rate:
4500 x 0.13 = 585
She made $585 last week.
Multiply amount made in 1 week by 52 weeks ( 1 year = 52 weeks)
585 x 52 = 30,420
She made $30,420 in 2011
100 POINTS + BRAINLIEST! PLEASE ANSWER ASAP (answer both or no points)
Answers
Answer:
A for the first one and E for the second one.
Step-by-step explanation:
These are the only ones that follow the corospondibg x and y values.
Answer:
this was 3 years ago so guessing you don't need anymore
Step-by-step explanation:
I dont have any points and i need to ask a question
jnsxdhcdhcfhbh demdencec ecerfgv yes
Answers
Step-by-step explanation:
gvxghhujhggfffffddnnkiouucdss
SHOW WORK PLZZZZZZZZZZZZZ!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
(x+1)(x+5)(5x−1)
x= 1/5, -5, -1
Step-by-step explanation:
5x^3+29x^2+19x-5
factor
(x+1)(x+5)(5x−1)
the zeros are
x+1=0
x=-1
x+5=0
x=-5
5x-1=0
5x=1
x=1/5
maybe this helps
The ratio of boys to girls in Mr. Woods class is 5:7.
If there are 60 students in all, how many are boys?
Answers
Answer:
25
Step-by-step explanation:
5+7 is 12, 60 divided by 12 is 5. 5x5 is 25
Find P(5) when p = 0.38
i was swamped with work and my anxiety is flying off the charts rn
Answers
Step-by-step explanation:
p = 0.38
0.38 × 5
= 1.9
hope it helpful
Twice a number k plus 8 equals one-half times the quantity of four times a number k plus fourteen ?
Answers
Answer:
No solutions
Step-by-step explanation:
So putting that into an equation it equals
2k+8=(4k+14)÷2
Move the 2 to the other side.
2∙2k+8=4k+14
Simplify.
4k+8=4k+14
It doesn't make sense so No Solutions
ANSWER ASAP FOR BRAINLIEST
Answers
Answer:
I CANT SEE THE IMAGE BUT I NEEED POINTS xD
Step-by-step explanation:
PERIODDDDDDDDD
Answer:
Laptops, 82 is the largest number when you look at the totals.
Step-by-step explanation:
gender| electronic tablet | Laptop | Both | Neither | Total
----------|----------------------------|------------|---------|-------------|--------
girl | 13 | 51 | 8 | 17 | 89
boy | 12 | 31 | 5 | 13 | 61
total | 25 | 82 | 13 | 30 | 150
LMK If I have to explain but I basically just got the 150 students from the directions and went from there.
Help!! I’ll mark you brainliest!!!!!
Doors for the small cabinets are 18.5 inches long. Doors for the large cabinets are 2.7 times as long as the doors for the small cabinets. How many large doors can be cut from a board that said 10 feet long?
Answers
Find the measure of the each angle indicated. HELP
Answers
Answer:
(n-2)180 (this is the equation to find the sum of interior angles)
(4-2) 180 (plug in the amount of angles in the polygon and then solve)
2* 180
360
360 - 115 -100- 73= 72 (360 is the sum of all angles for this polygon. so subtract the known angles to find the unknown one)
measure of angle B is 72 degrees
Step-by-step explanation:
Answer:
b=72 degrees
Step-by-step explanation:
100+115+73=288
360-288= 72 degrees
What is the slope and y-intercept of the equation 6x + 2y = 14
I
Answers
y-intercept: (0,7)
The difference of two numbers is 3. Their sum is 13. Find the numbers.
Answers
Answer:
Answer:
The two numbers are 8 and 5
Explanation:
8 - 5 = 3
8 + 5 = 13
Hope this helps!
What expressions are equivalent to 6.7 - (-2.5)
Answers
Answer:
[tex]6.7-\left(-2.5\right)=9.2[/tex]
Step-by-step explanation:
Given the expression
[tex]6.7-\left(-2.5\right)[/tex]
Solving the expression to get the equivalent function
[tex]6.7-\left(-2.5\right)[/tex]
[tex]\mathrm{Apply\:rule}\:-\left(-a\right)=a[/tex]
[tex]=6.7+2.5[/tex]
[tex]\mathrm{Add\:the\:numbers:}\:6.7+2.5=9.2[/tex]
[tex]=9.2[/tex]
Thus,
[tex]6.7-\left(-2.5\right)=9.2[/tex]
Given L(-4, 3) and M(-7, -2), what is the length of segment LM?
Answers
Answer:
[tex]d = \sqrt{34}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra II
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point L (-4, 3)
Point M (-7, -2)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d.
Substitute [DF]: [tex]d = \sqrt{(-7+4)^2+(-2-3)^2}[/tex]Add/Subtract: [tex]d = \sqrt{(-3)^2+(-5)^2}[/tex]Exponents: [tex]d = \sqrt{9+25}[/tex]Add: [tex]d = \sqrt{34}[/tex]Janna is looking for an apartment. She plans on paying no more than 25% of her monthly income in rent. If she earns $1,825 a month, which amount represents the most she plans to pay in rent every month?
Answers
Answer:
456.25
Step-by-step explanation:
25% as a decimal is .25
To find 25% of her monthly income, multiply 1,825 by .25
1825*.25=$456.25
P(-6, 4), O-2, 7), R(-1, 0), S(-5, -3)
Please help ASAP
Answers
Can someone please help
Answers
Answer:
2x+7
Step-by-step explanation:
F(x+3)=2(x+3)+1
F(x+3)= 2x+6 +1 =2x+7
The points (2, 5) and (1, 1) fall on a particular line. What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
y=
x-
Answers
Evaluate, if x = -12, y = -4, and
z is = 9
Answers
Order from least to greatest
6.8
The square root of 54/3
The square root of 13
26/3
PLEASE HELP
Answers
the square root of 14, the square root of 54/3, 6.8, the square root of 26/3.
Carrie usa 6 limones para hacer 24 onzas líquidas de limonada. Carrie está planeando una gran fiesta y necesita hacer 288 onzas líquidas de limonada. ¿Cuántos limones necesitará usar para mantener la receta proporcional?
Answers
Answer:
72 lemons
Step-by-step explanation:
Carrie uses 6 lemons to make 24 fluid ounces of lemonade. Carrie is planning a big party and needs to make 288 fluid ounces of lemonade. How many lemons will she need to use to keep the recipe proportional?
Hence:.
24 fluid ounces = 6 lemons
288 fluid ounces = x lemons
24 x = 288 × 6
x = 288 × 6/24
x = 72 lemons
Allan can make 8 pizzas in 15 minutes at the pizza restaurant where he works. 28. __________ If the number of pizzas varies directly with minutes, how many pizzas can Allan make in 3 hours?
Answers
Answer:
96 pizzas
Step-by-step explanation:
First, we have to determine how many pizza he can make in one minute = 8/15 = 0.533
Convert 3 hours to minutes = 3 x 60 = 180 minutes
The number of pizzas he would make in 3 hours = 180 x 0.533 = 96 pizzas
How many solutions does the following function have? f(x)=4x^2-100
Answers
Answer: x = 5, -5
Step-by-step explanation:
Solve using the quadratic formula.