Answers
Answer:
BC = 10 units
Step-by-step explanation:
From the picture attached,
It's given that AD and BE are the parallel sides.
AC and DC are the transversal lines intersecting the parallel lines.
In ΔADC and ΔBEC,
∠DAC ≅ ∠EBC [Corresponding angles]
∠ADC ≅ ∠BEC [Corresponding angles]
ΔADC ~ ΔBEC [By AA property of similar triangles]
By the property of similar triangles,
Corresponding sides of the similar triangles are proportional.
[tex]\frac{AC}{BC}=\frac{DC}{EC}[/tex]
[tex]\frac{AB+BC}{BC}=\frac{DE+EC}{EC}[/tex]
[tex]\frac{2.5+BC}{BC}=\frac{2+8}{8}[/tex]
[tex]\frac{2.5}{BC}+1=\frac{10}{8}[/tex]
[tex]\frac{2.5}{BC}=\frac{5}{4}-1[/tex]
[tex]\frac{2.5}{BC}=\frac{1}{4}[/tex]
BC = 10
Related Questions
Which of the following values of c are solutions of the inequality c-2<16? Select all that apply.
1. 2
2. 16
3. 17.5
4. 18
5. 20
Answers
Mark is going to an awards dinner and wants to dress appropriately. He had one blue shirt, one white dress shirt, one black dress shirt, one pair of black slacks, one pair of grey slacks, and one red tie. All six of marks possible outfits are listed below
Answers
Answer:
All the four statements are true , which are -
(A) The subset contains contains of all the outfits that have grey slacks .
(B) The subset contains contains of all the outfits that have grey slacks and red tie .
(C) The subset contains contains of all the outfits that have grey slacks and blue shirt .
(D) The subset contains contains of all the outfits that do not have black slacks .
Step-by-step explanation:
We are given with Outfit 2 , 4 and 6
Outfit 2 - Blue grey red
Outfit 4 - White grey red
Outfit 6 - Black grey red
(A) Since only 2,4, and 6 contain grey slacks, and no other outfit contains grey slacks, those are the subsets that contain grey slacks. Thus , this statement is true .
(B) Just outfits 2, 4, and 6 have grey slacks and a red tie, proving the statement. Other clothes do not include grey slacks and a red tie; they may include a red tie but not both grey slacks and a red tie. Hence , the statement is true .
(C) Since the outfit 2 has grey slacks and a blue shirt, the statement is correct; no other outfit has both grey slacks and a blue shirt. Therefore , this statement is also correct .
(D) The argument is correct since all of the subsets contain grey slacks and no black slacks.
Hence , all the options A , B , C , D are correct and describes the subset .
The given question is incomplete , the complete question is attached here -
Factor the following :
Answers
Answer:
(6x - 7y)(6x + 7y)
Step-by-step explanation:
36x² - 49y² ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b) , then
36x² - 49y²
= (6x)² - (7y)²
= (6x - 7y)(6x + 7y)
Answer:
(6x + 7y)(6x - 7y)
Step-by-step explanation:
36x² - 49y²
= (6x)² - (7y)²
= (6x + 7y)(6x - 7y)
In this question we used the identity-
a² - b² = (a + b)(a - b)
Will a 11.5-inch x 18-inch rectangular tray fit in
the box shown? Explain.
Answers
Answer:
Option D
Step-by-step explanation:
From the picture attached,
In the parallelogram ABCD,
Length of diagonals AC and BD are equal.
By the property,
"If the lengths of the diagonals of a parallelogram are equal, parallelogram will be a rectangle".
Therefore ABCD is a rectangle.
That means all interior angles of the given rectangle will be 90°.
Now we apply Pythagoras theorem in right triangle ΔABC,
AC² = AB² + BC²
(22)² = (12)² + (BC)²
484 - 144 = (BC)²
BC = √340
BC = 18.44 inches
Dimensions of the given box are 12 inches by 18.44 inches.
Dimensions of the rectangular tray is 11.5 inches by 18 inches.
Since, dimensions of the box are larger than the dimensions of the tray, tray can be adjusted in the box.
Therefore, Option D will be the answer.
Connor invests $1,400 in a savings account that increases annually at a 9% interest rate. Determine how much money Connor will have after 4 years. Round to the nearest cent.
Answers
Answer:
$1,976.21
Step-by-step explanation:
$1,976.21
Select the correct answer.
What is the difference of the values of the two variables in this system of equations?
y= 2x+1
x + 3y = 10
A. 0
B. 1
C. 2
D. 3
Answers
8 more than twice a number is 18.
Answers
Answer:
18 + (18 more than) 2x (twice a number) = (is) 8
18+2x=8
2x=-10 (subtract 18 from both sides)
x=-5 (divide both sides by 2)
not my work
A local school needs to paint the floor of its theater room, where the length of the floor, x, is at least 12 feet. The width of the floor is 4 feet less than the length. It will have a stage and a closet, and the remaining area of the floor will be painted. The dimensions are shown in the diagram:
Let A represent the painted area, in square feet, of the floor. Choose the correct equation to solve for area (A).
A = x(x − 4) − 0.5(8)(x − 4) − 4(8)
A = x(x − 4) − (8)(x − 4) − 4(8)
A = x(x − 4) + (8)(x − 4) + 4(8)
A = x(x − 4) + 0.5(8)(x − 4) + 4(8)
Answers
Step-by-step explanation:
here .................
Answer:
A. A = x(x - 4) - 0.5(8)(x - 4) - 4(8)Step-by-step explanation:
Total area:
A(t) = x(x - 4)Area of the stage:
A(s) = 0.5(8)(x - 4)Area of the closet:
A(c) = 4(8)Area to be painted:
A = A(t) - A(s) - A(c)A = x(x - 4) - 0.5(8)(x - 4) - 4(8)Correct choice is A
Need help! Have a good day
Answers
Answer:
Use the website www.bartley.com !!! I has helped me a lot and its actual teachers/tutors who answer your questions in about 30 minutes :)
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
y= 1/2x +8
hope this helps
I NEED HELP PLS!! it shouldnt be too hard bc im in 6th grade
Answers
Answer:
2x + 1
Step-by-step explanation:
That person added everything together that was shown which is incorrect. You shouldn't add the 12x + 3 as that should be the end result. You add 3x + 3x + 4x + 2 to get 10x + 2. You then subtract that by 12x +3 which is 2x + 1
Can someone please help me
Answers
Answer:
C/7 = 20
Step-by-step explanation:
Please help me out with this no links and not stealing points
Answers
Answer: The sum of the number of angles in a polygon is (n-2) * 180, where n is the number of sides, so the sum of the angles of a 17-sided polygon is (17-2) * 180 = 2700.
Step-by-step explanation:
Sam es siete veces más viejo que Tim. Si Sam tiene 42 años, ¿cuántos años tiene Tim?
Answers
Answer:
the tim age is 6 years
Step-by-step explanation:
The computation of the tim age is shown below:
Given that
Sam age is 42 years
And, sam would be 7 times than the tim age
Based on the above information
The tim age would be
= sam age ÷ number of times
= 42 ÷ 7
= 6 years
hence, the tim age is 6 years
The same should be considered
PLS DO THIS ASAP!!!!! do the ones that are boxed and the ones with the Xs dont do!
This is due in 5 mins pls do!!! will give brainiest and 5 points
Answers
Answer:
10 19/24, 4 9/16, 3 11/15
Step-by-step explanation:
15. 15 4/24 - 4 9/24 = 10 19/24
13. 8 3/16 - 3 10/16 = 4 9/16
17. 6 5/15 - 2 9/15 = 3 11/15
Please answer correctly! I will mark you Brainleist!
Answers
Answer:
72 cm^3
Step-by-step explanation:
The volume of a rectangular prism is the length x width x height, so
6*3*4=72
a train travels a distance of 1000m along a track. find the work done by the train by applying a force of 15000
Answers
Answer:
1000 meters
Step-by-step explanation:
The mathematical expression 2 ∈ V means:
Answers
It could be nonsense without any more context…
But more likely than not, V is understood to be some set of numbers, in which case the statement "2 ∈ V" means "2 belongs to the set V".
Graph each equation using slope intercept form y = x + 6
Answers
Answer: The graph of the equation y = x + 6 looks like this! (see attached screenshot)
Step-by-step explanation:
I graphed using Desmos, an online graphing calculator.
The graph of the linear function y = x + 6 is attached below showing a
y - intercept of 6.
What is graph of a linear equation?The graph of a linear equation is a straight line on a Cartesian coordinate system. A linear equation can be represented in the form y = mx + b, where m is the slope of the line, and b is the y-intercept (the point where the line intersects the y-axis).
The graph of a linear equation can have different orientations and slopes, depending on the values of m and b. It can be upward-sloping (positive slope), downward-sloping (negative slope), or horizontal (slope of 0). The steepness of the line is determined by the magnitude of the slope.
Using a graphing calculator, the slope of the equation is 1 and the y-intercept is 6.
Learn more on graph of a linear equation here;
https://brainly.com/question/14323743
#SPJ2
Does anyone know how to do this
Answers
Answer:
the reason is they are equal to each other because they are both right angle triangle
Zack bought a large box of microwave popcorn. The box contained 3 bags of butter-flavored popcorn for every 2 bags of plain popcorn. If the box contained 12 bags of plain popcorn, how many bags of microwave popcorn did it contain altogether?
Answers
Answer: 30
Step-by-step explanation:
Let the number of butter-flavored popcorn be represented by x.
Based on the information given in the question, we can generate an equation which will be:
3/2 = x/12
Cross multiply
2 × x = 3 × 12
2x = 36
x = 36/2
x = 18
There are 18 butter-flavored popcorn.
Therefore, the bags of microwave popcorn contain altogether will be:
= 12 + 18
= 30
Find the length of the missing side of the triangle. Write your answer as a square root.
Answers
Answer:
1/2
Step-by-step explanation:
please mark as brainliest
The figure is composed of a right triangle inside a rectangle
Answers
Answer:
there is no figure
Step-by-step explanation:
A teacher calculated the mean of 27 students mark to be 62. A student who later completed the assessment got a mark of 53. What is the new mean of the class, to two decimal places?
Answers
Answer:
first of all the average score of students is 62.
and there are 27 students
so full marks scored by students are 27×62= 1674
and 1 new students added to that so his score would be 1674+ 53(his marks)= 1727
so now the mean of students are beause there are one more students so 27+1 = 28 then 28÷1727= 61.6 is the mean now
A triangle has an area of 72 square feet. The height is 12 feet. What is the length of the base (in feet)?
Answers
Answer:
6ft
Step-by-step explanation:
we went over this in class
(I BEG YOU HELP ME TUTORS! ITS A MULTIPLE CHOICE ILL GIVE U BRAINLY)
Answers
Answer:
ans= (2)
Step-by-step explanation:
y=x²-1 is the only quadratic function there
1 is a linear function
3 is a cubic function
4 is a a constant function
What is the equation of a circle that has a diameter of 10 units if its center is at (3,8)?
Answers
Answer:
Step-by-step explanation:
[tex](x-3)^2+(y-8)^2 = 25[/tex]
The equation of circle: (x - 3)² + (y - 8)² = 25
What is equation of circle?An equation of circle with center (h, k) and radius 'r' is,
(x - h)² + (y - k)² = r²
For given example,
a diameter of circle = 10 units
So, the radius would be (r) = 10/2
r = 5 units
And the center (h, k) = (3, 8)
So, the equation of the circle would be,
⇒ (x - 3)² + (y - 8)² = 5²
⇒ (x - 3)² + (y - 8)² = 25
Therefore, the equation of circle: (x - 3)² + (y - 8)² = 25
Learn more about equation of circle here:
https://brainly.com/question/10618691
#SPJ2
PLEASE I WILL GIVE EXTRA POINTS AND BRAINLIEST I PROMIS!!!!!!! I AM DESPERATE PLEASE I AM BEGGING YOU!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
If you comment fractions I will do them!
Step-by-step explanation:
Across:
A = 46
E = can't see the fraction
H = 2111
I = 64
J = 29
L = can't see the fraction
P = 55005
R = can't see the fraction
S = 21
T = 49
U = 308
V =129
X = can't see the fraction
Y = 4008
Z = 15
BB = 375
EE = 65
FF = 16
GG = 64
Down:
B = 600
C = can't see the fraction
D = 316
G = can't see the fraction
H = can't see the fraction
K = 9520
L = 15010
N = 299
O = 59
Q = 518
T = 4116
U = 333
V = 1006
W = 189
AA = 55
CC = 71
DD = 56
What is one possible solution for the triangle below?
Y
68°
43 in
X
40 in
Z
YZ*43.0, mZX 94.6º, mzZx 17.4°
OYZ 19.3, mZX 85.4º, mZZ » 26.6°
OYZx 12.9, mxXx 17.4°, mZx 94.6°
M1
ma
Answers
Answer:
C
Step-by-step explanation:
Answer: C
Step-by-step explanation: on edge
Whats:
1+1
I need help immediately, please.
I'm struggling and freaking out.
Answer as soon as possible.
Answers
Answer:
2
Step-by-step explanation:
hdjxjdbdjdnekzneisbd
Answer:
1+1=2
Step-by-step explanation:
lol, i hope this helped.
brainliest please? :)
PLSS HELP THE TEACHER IS ASKING FOR MY ANSWERS CUZ I WAS SUPPOSED TO DO IT AND I NEVER WAS PREPARED PLSSS HELP IM NEXT AND CAN SOMEONE PLS TELL ME WHAT TO DRAW LIKE SHADE? A PIC OF EVERYTHING SHADED AND DRAWN WOULD BE RLLY NICE TYSM HAVE A GOOD DAY! BUT PLS HELPP
Answers
Answer:
shading,
Step-by-step explanation:
do shading to the fraction supposed to be, eg: 1\4 here we have four parts divided and 1 is to be shaded as it gives 1 out of 4 okay? or 2\8 here in 8 divided parts only shade 2 as it's given. I hope it's right!!