Answers
Answers:
DE = 1.1DF = 1.6BC = 4.8===========================================================
Explanation:
I recommend drawing the two triangles as shown below. The diagram isn't to scale, but all that matters is that we get the general idea down.
Your teacher gave you this info:
angle A = angle E (red angles)angle C = angle F (blue angles)These two pieces of info are enough to prove that triangle ABC is similar to triangle EDF. Use the angle angle (AA) similarity theorem to do this proof. The order of the lettering matters because it helps us see how the letters pair up.
A and E go firstB and D in the middleC and F go lastSince the triangles are similar, the scale factor to go from ABC to EDF is EF/AC = 2/6 = 1/3
In other words, the side lengths of triangle EDF are exactly 1/3 that of the corresponding lengths of ABC. Or we can reverse things to say the sides of ABC are 3 times longer than the sides of EDF.
----------------------
Use this scale factor to help determine the missing length ED.
(ED)/(AB) = scale factor
(ED)/(AB) = 1/3
(ED)/(3.3) = 1/3
ED = (1/3)*(3.3)
ED = 1.1
Note how ED/AB = (1.1)/(3.3) = 11/33 = 1/3
----------------------
While we don't know how long sides BC or DF are, we are told that DF is 3.2 units shorter compared to BC.
This means
DF = BC - 3.2
DF = x - 3.2
Then we can say,
(DF)/(BC) = scale factor
(x-3.2)/(x) = 1/3
3(x - 3.2) = x*1
3x - 9.6 = x
3x - x = 9.6
2x = 9.6
x = (9.6)/2
x = 4.8
So BC is x = 4.8 units long and DF is x-3.2 = 4.8-3.2 = 1.6 units long
Related Questions
The diagram shows three points P, Q and R on horizontal ground.
PQ = 50 m, PR = 100 m and angie PQR = 140°.Calculate angle PRO.
Answers
Answer:
5.53°
Explanation:
Law of sines.
Find the X intercepts of the equation f(x) = x^2 - 6x + 6
Answers
Answer:
x-intercepts = (x ≈ -0.87), (x ≈ 6.87)
Step-by-step explanation:
let x = 0, in equation for x-intercepts
solve for x using the
quadratic formula
x = −6 ± √ 36 + 24
2x
= −6 ± √60
−2x
= −6 ± 2 √ 15
−2 = 3 ± √15
the height of the glass is 7cm and
the radius is 3cm If the glass is
half fill with water what will be
the answer
Answers
V=3.14*r^2*h
V= 3.14*3^2*(7/2)
V = 98.96 cm^3
If you mean how much water is in the glass
Identify the coordinates of the vertices of the polygon.Identify the coordinates of the vertices of the polygon.
A. (3,5), (–6,1), (–3,–4), (0,–5), (7,–3)
B. (–3,5), (–6,1), (–3,–4), (0,–5), (7,–3)
C. (3,5), (–6,1), (–3,–4), (–5,0), (7,–3)
D. (3,5), (6,1), (–3,–4), (0,–5), (7,–3)
Answers
Answer:
A
Step-by-step explanation:
The coordinates are (3,5),(7,-3),(0,-5),(-3,-4) and (-6,1). So the correct option is A
GIVING BRAINLY JUST ANSWER CORRECTLY !!
Answers
Answer:
b. never
Explanation:
A fraction is always in the form p/q, where q is not 0; or can be converted in that form (in case of mixed fraction).
A number is said to be irrational, if it cannot be expressed in the form p/q, where q is not 0.
For the points shown:
The x-coordinate is ____
The y-coordinate is____
The point is in the coordinate___
Answers
Answer:
The x-coordinate is –4
The y-coordinate is –1
The point is in the quadrant Third quarter ( 3 )
I hope I helped you^_^
For several weeks, the function f(x) = 3(4)* represented the number of birds
infected with an illness x weeks after the first birds became sick. How did the
number of sick birds change each week?
A. The number quadrupled each week.
B. The number increased by 4 each week.
C. The number increased by a factor of 3 each week.
D. The number increased by 3 each week.
SUBMI
Answers
Which function has the greater maximum value: f(x) = -2x2 + 4x+3, or g(x),
the function in the graph?
ту
g(x)
A. f(x)
B. g(x)
C. The functions have the same maximum value.
Answers
Answer:
B
Step-by-step explanation:
f(x) maxmum value is
[tex] \frac{ - 4}{ - 4} = 1[/tex]
[tex] - 2( {1}^{2} ) + 4(1) + 3 =
5[/tex]
G(x) minimum value is 6.
B is the answer.
I need help ASAP!!Please explain your answer
Answers
Answer:
240 ft^2
Step-by-step explanation:
The rectangular prism has 6 faces. Each two opposite faces have the same area. We need to find the areas of 3 faces that are not opposite faces, add them, and then multiply by two.
Top face:
7 ft by 6 ft
area = LW = 7 ft * 6 ft = 42 ft^2
Right face:
7 ft by 6 ft
area = LW = 7 ft * 6 ft = 42 ft^2
Front face:
6 ft by 6 ft
area = LW = 6 ft * 6 ft = 36 ft^2
Sum of areas of 3 faces:
42 ft^2 + 42 ft^2 + 36 ft^2 = 120 ft^2
Now we double the area to account for the 3 faces that are opposite each one of the three faces whose areas we calculated.
2 * 120 ft^2 = 240 ft^2
Answer: 240 ft^2
What is the 6th term in the geometric sequence described by this explicit
formula?
an= 3.4(n-1)
Answers
Answer:
The 6th term is 3072.
Step-by-step explanation:
Let f(x)=r2+2 and g(x)=1–3x. Find each function value:
f(g(-1))
Answers
Answer:
18
Step-by-step explanation:
f(x)=x^2+2
g(x)=1–3x
f(g(-1))
First find g(-1) = 1-3(-1) = 1 +3 = 4
Then find f(4) = 4^2 +2 = 16+2 = 18
f(g(-1)) = 18
Find the value of x.
A. 75
B. 80
C. 57
D. 40
Answers
Answer:
80
Step-by-step explanation:
since a=40
40x2 is 80
The value of x is 80 which is the correct answer would be an option (B)
What are the Angles of Intersecting Secants Theorem?Angles of intersecting secants theorem states that, If two lines intersect outside a circle, then the measure of an angle formed by the two lines is one-half the positive difference of the measures of the intercepted arcs.
Given that angle ∠a = 40°
∠x = 2∠a
Substitute the value of ∠a = 40°
∠x = 40×2
∠x = 80°
Hence, the value of x is 80 degree
Learn more about the Angles of intersecting secants here:
brainly.com/question/15532257
#SPJ2
x2 – 1x – 90 = 0 has solutions {a, b}. What is a + b?
Answers
Answer:
a + b =1
Step-by-step explanation:
Write the given quadratic as x^2 – 1x – 90 = 0. This factors into
(x - 10)(x + 9) = 0, and so the roots/solutions are {-9, 10}.
If we call -9 "a" and 10 "b," then the sum a + b is -9 + 10, or a + b =1.
math help
please. thank you.
Answers
Answer:
AC=EG AND BC = FG I THINK IT IS ONLY THIS
Answer:
BC=FG
Step-by-step explanation:
Because BC and FG is congruent side of angle A
hope you understand
The slopes of two lines. Determine the value of ‘a’ that will make the lines
parallel
and perpendicular
Answers
What is the area of the obtuse triangle below?
9
다.
11
O A. 49.5 sq. units
OB. 99 sq. units
C. 10 sq. units
D. 20.5 sq. units
Answers
Answer:
49•5
Step-by-step explanation:
A= hb×b÷2
given
hb=height=9
b=base=11
The area of the triangle will be 49.5 square units. Then the correct option is A.
What is the area of the triangle?Assume 'h' is the height of the triangle and 'b' be the base of the triangle. Then the area of the triangle is given as,
A = (1/2) × h·b
The height of the triangle is 9 units and the base of the triangle is 11 units. Then the area of the triangle is calculated as,
A = 1/2 x 11 x 9
A = 11 x 4.5
A = 49.5 square units
The area of the triangle will be 49.5 square units. Then the correct option is A.
More about the area of the triangle link is given below.
https://brainly.com/question/19305981
#SPJ7
need help pleaseee!!!
Answers
Answer:
it should be the third option
Step-by-step explanation:
I hope this help
757divide 100=to in hours and minutes
Answers
Answer:
Step-by-step explanation:
757 minutes = 12 hours 37 minutes
Given m
n, find the value of x and y.
m
35°
x
yº
X=
y =
PLS HELP I’m kinda really confused
Answers
Answer:
x = 145°, y = 35°Step-by-step explanation:
Given,
m || n
So,
35° = y° [Alternate interior angles]
And,
y° + x° = 180° [Since linear pair]
=> x + 35 = 180
=> x = 180 - 35
=> x = 145°
Hence,
x = 145°, y = 35°
Answer:
x = 145
y = 35
Step-by-step explanation:
35 and y are alternate interior angles and alternate interior angles are equal when the lines are parallel
35 = y
x+y = 180 because x and y form a straight line
x+35 = 180
x = 180-35
x = 145
what is the volume of the cylinder
Answers
I think the answer is C
I'm not sure
HELP ASAP
THANK YOU!!!
Answers
Answer:
C
Step-by-step explanation:
The function C has a range of (-infinity, a] and domain [b, infinity)
can someone pls help me
Answers
On the last option, since you can substitute y=3x+1 into the other equations to solve for x.
Cual es la raiz cudrada de 2
Answers
Answer:
1.4142135
Step-by-step explanation:
what is the mass of raisins in a package
Answers
Answer:
Step-by-step explanation:
12
whats the gcf of 50,40
whats the gcf of 14,56,63
Answers
For 14,56,63 the GCF is 7
Hope this helps!
Would really appreciate it if given brainleist, thanks!
9514 1404 393
Answer:
107Step-by-step explanation:
The GCF can be no larger than the difference between the numbers. That would be the first value you want to check to see if it is a factor of the numbers.
GCF(40, 50)The difference is 10, which is a factor of both 40 and 50.
GCF(40, 50) = 10
__
GCF(14, 56, 63)You can figure the GCF pairwise, as GCF(14, 56) = 14; then GCF(14, 63) = 7. Or, you can look at the smallest difference between any pair of numbers. Here, that is 63 -56 = 7, which is a factor of all three numbers.
GCF(14, 56, 63) = 7
_____
Additional comment
Euclid's algorithm has you compute the remainder from division of the largest by the smallest. When that remainder is non-zero, it replaces the largest, and you repeat. When the remainder is zero, the smallest is the GCF.
For example, let's look at the GCF of 14 and 63.
63/14 = 4 r 7
14/7 = 2 r 0 . . . . . 7 is the divisor, so is the greatest common factor
I need help i tried to do this but can't get it.
Answers
Answer: x=5, y=-1
Hope this helps
Solve 3x^2+19x +6 please help
Answers
Answer:
(3x + 1)(x + 6)
3x^2 + 19x + 6
3x^2 + 18x + x + 6
3x^2 + 18x + x + 6
3x(x + 6) + x + 6
3x(x + 6) + x + 6
(3x + 1)(x + 6)
Haven't done this in a pretty long time so I might be wrong
A certain city garden has 64 flowers and 24 decora-
tive shrubs planted. The garden planner wants to
plant more flowers until the ratio of flowers to
shrubs is 12:1. How many more flowers will the
garden planner need?
Answers
Answer:
224 more flowers
Step-by-step explanation:
If the planner wants the ratio of flowers to shrubs to be 12:1, that means there will be 12 times as many flowers as shrubs.
Find what 12 times the number of shrubs is:
24(12)
= 288
So, the planner will need 288 flowers in total.
Find how many more he needs to plant by subtracting the current amount of flowers from 288:
288 - 64
= 224
So, the garden planner will need 224 more flowers.
Which expressions
are
equivalent to -6+4q+(-6q)?
Choose all answers that apply:
–6(q + 1) — 42
2(q -3)
None of the above
Answers
Answer:
None of the Above are correct
convierte los decimales a fracción:
a) 3, 1233333 =
b) 4, 3855555 =
c) 37, 22222 =
d) 16, 2929292929 =
e) 2, 33333333 =
Answers
(a) Let x = 3.12333…. Then 100x = 312.333… and 1000x = 3123.333…, so that
1000x - 100x = 3123.333… - 312.333…
==> 900x = 2811
==> x = 2811/900 = 937/300
(b) x = 4.38555… ==> 100x = 438.555… and 1000x = 4385.555…
==> 900x = 3947
==> x = 3947/900
(c) x = 37.222… ==> 10x = 372.222…
==> 9x = 335
==> x = 335/9
(d) x = 16.292929… ==> 100x = 1629.292929…
==> 99x = 1613
==> x = 1613/99
(e) x = 2.333… ==> 10x = 23.333…
==> 9x = 21
==> x = 21/9 = 7/3
