Answer:
[tex]\triangle ABC {\displaystyle \sim } \triangle DE\ F[/tex]
[tex]\triangle CBA {\displaystyle \sim } \triangle FED[/tex]
[tex]\triangle BAC {\displaystyle \sim } \triangle EDF[/tex]
Step-by-step explanation:
Given
[tex]\triangle ABC {\displaystyle \sim } \triangle DE\ F[/tex]
[tex]AC = 10[/tex]
[tex]AB = 5[/tex]
[tex]\angle C = 30^\circ[/tex]
[tex]ED = 7.5[/tex]
[tex]DF = 25[/tex]
[tex]\angle F =30[/tex]
[tex]\angle E =90[/tex]
Required
Which of the options is/are true:
[tex]\triangle CBA {\displaystyle \sim } \triangle FED[/tex] [tex]\triangle CBA {\displaystyle \sim } \triangle FDE[/tex] [tex]\triangle BAC {\displaystyle \sim } \triangle EFD[/tex]
[tex]\triangle BAC {\displaystyle \sim } \triangle EDF[/tex] [tex]\triangle ABC {\displaystyle \sim } \triangle DE\ F[/tex] [tex]\triangle ABC {\displaystyle \sim } \triangle DFE[/tex]
The given triangles, implies that:
[tex]A {\displaystyle \sim } \ D[/tex]
[tex]B {\displaystyle \sim } \ E[/tex]
[tex]C {\displaystyle \sim } \ F[/tex]
By taking each sides of both triangle, one after the other; the possible similar triangles are:
[tex]\triangle ABC {\displaystyle \sim } \triangle DE\ F[/tex]
[tex]\triangle CBA {\displaystyle \sim } \triangle FED[/tex]
[tex]\triangle BAC {\displaystyle \sim } \triangle EDF[/tex]
Answer:
a d and e on edg
Step-by-step explanation:
A tennis court is surrounded by a fence so that the distance from each boundary (edge) of the tennis court to the fence is
the same. If the tennis court is 78 feet long and 36 feet wide, what is the area of the entire surface inside the fence?
Answer:
the answer is 2,808
Step-by-step explanation:
you have to multiply 78 by 36 because it is area
Jose receives a $10 gift card for downloading music and wants to determine how many songs he can purchase. Each downloaded song costs $1.19. Write and solve an inequality to determine how many songs Jose can purchase. What does the solved inequality represent?
With the $10 gift card, Jose can buy at most 9 songs.
With the $10 gift card, Jose can buy 9 or more songs.
With the $10 gift card, Jose can buy at most 8 songs.
With the $10 gift card, Jose can buy 8 or more songs.
With the $10 gift card, Jose can buy at most 8 songs
x(the number of songs) less than or equal to 8
Answer:
With the $10 gift card, Jose can buy at most 8 songs
Step-by-step explanation:
trust the process
WORTH 21 POINTS!!! Find the area of the shaded regions
Answer:
84.823005
Step-by-step explanation:
π6^2=113.09734
(360-90)/360=3/4
3/4* 113.09734=84.823005
Step-by-step explanation:
area of circle=
[tex]\pi \: r ^{2} [/tex]
22/7×6×6=113.14
=3/4of 113.14
=84.55cm²
What is the common ratio of the sequence?
-2, 6, -18, 54,...
a. −3
b. −2
c. 3
d. 8
Answer:
A -3
Step-by-step explanation:
-2 x -3 = 6
6 x -3 = -18
-18x -3 = 54
2x - 4y = -2
2x + 3y = -16
What is the solution
Answer:
x=-5
y=-2
Step-by-step explanation:
equation 1 - equation 2
(2x-4y=-2) - (2x+3y=-16) = (-7y=14)
y=14/-7=-2
then substitute y=-2 into any equation
2x-4(-2)=-2
2x+8=-2
2x=-10
x=-10/2=-5
Questions 7 and 8 please. Really need help thank you!!
Answer:
7) sin 60° = 25√3/Z
0.8660 = 25√3/Z
Z = 50
8) using the Pythagorean theorem:
50² = (25√3)² + y²
2500 = 1875 + y²
y² = 625
y = 25
Answer:
z = 50
y = 25
Step-by-step explanation:
Using the 30, 60, 90 triangle rule
you can figure this out.
The rule says
With a 30, 60, 90 triangle
Given the shorter leg, (side across the 30 degree angle,
To find longer leg (side across the 60 degree angle):
Multiple shorter leg by radical 3.
To find hypotenuse (side across the 90 degree angle):
Multiple shorter leg by 2.
Thus
Shorter leg (side opposite 30 degree): 25
Longer leg (side opposite 60 degree):
25 radical 3
Hypotenuse(side opposite 90 degree): 50
4) Calculate the area of the following shape: (Show working) *
Answer:
20
Step-by-step explanation:
divide shape into 2 rectangles;
Rectangle A: 5.5*3= 16.5
Rectangle B: 1*3.5=3.5
9-5.5=length length=3.5
Add RA+RB= your answer
Answer:
[tex]20m{2}[/tex]
Step-by-step explanation:
a tank contains 400 liters of water. If 100 liters is used, what percentage is left
Answer:
25%
Step-by-step explanation:
[tex]400 \times 25 \div 100 = 100[/tex]
Write each equation in slope-intercept form by following the steps below.
1. y = 2 + 4(x - 3)
a. Distribute 4 through the parentheses.
y=2 +
b. Simplify by combining like terms.
c. Is the equation in the form y = mx + b?
If not, rewrite it.
Given:
The equation is
[tex]y=2+4(x-3)[/tex]
To find:
The slope intercept form of the given equation.
Solution:
We have,
[tex]y=2+4(x-3)[/tex]
Step a: Distribute 4 through the parentheses.
[tex]y=2+4(x)+4(-3)[/tex]
[tex]y=2+4x-12[/tex]
Step b: Simplify by combining like terms.
[tex]y=4x+(2-12)[/tex]
[tex]y=4x-10[/tex]
Step c: Is the equation in the form [tex]y = mx + b[/tex]? If not, rewrite it.
The equation [tex]y=4x-10[/tex] in the form of [tex]y = mx + b[/tex].
Therefore, the slope intercept form of the given equation is [tex]y=4x-10[/tex].
i need help please this is quite hard for me
if Alex and Mpho have to share R20 in the ratio 2:3,how much will Mpho get?
A R4
B R8
C R10
D R12
Answer:
D
Step-by-step explanation:
sum of ratio=2+3=5
Mpho gets=3/5×20=12
If I have the coordinates (4, 3) and (2, 2) what is distance do we get
Need help only right answer
Answer:
Step-by-step explanation:
please help!! there is a picture below
Answer:
for 12 pop songs 8 hip-hop songs would be played
Please! Someone help:((
Answer:
n = √75
Step-by-step explanation:
n is the altitude of the right triangle.
Thus:
n = √(15*5) (right triangle altitude theorem/geometric mean theorem)
n = √75
Some one help me solve for x
Answer:
x = 10
Step-by-step explanation:
The sum of the interior angles of a quadrilateral = 360°
Sum the angles and equate to 360
9x + 15 + 85 + 90 + 80 = 360, that is
9x + 270 = 360 ( subtract 270 from both sides )
9x = 90 ( divide both sides by 9 )
x = 10
What is the slope of the line below?
Answer:
A) -4/5
Step-by-step explanation:
( -8, 10) and ( -3, 6)
Slope:
m=(y2-y1)/(x2-x1)
m=(6-10)/(-3+8)
m= (-4)/5
m = -4/5
Toby found a $52 wallet on the clearance
rack for 60% off. If sales tax is 6.25%, how
much will he pay in total?
A.$22.10
B.$23.75
C.$28.50
D.$33.15
Answer:
A. $22.10
Step-by-step explanation:
52 x 0.4 = 20.8
20.8 x 1.0625 = 22.1
2.
х
у
First
Differences
-2
12
Second
Differences
s
-1
3
0
0
1
3
2.
12
Answer:
I um need the question to answer.
Step-by-step explanation:
How would you write 12-^3 using a positive exponent?
12^3
12^0
12^3/1
1/12^3
Answer:
[tex] \frac{1}{ {12}^{3} }[/tex]
Step-by-step explanation:
[tex] {12}^{ - 3} = \frac{1}{ {12}^{3} } \\ [/tex]
Which function will translate f(x) = x right 5 units and
up 1 unit?
A.f (x) = (x – 5)2 + 1
B.f(x) = (x + 5)2 + 1
C.f(x) = (x - 5)2 - 1
D.f(x) = (x + 1)2 – 5
Please help I need to find the measure of the three unknown variables. Any help will be greatly appreciated:))
Answer:
[tex]x = 8 \sqrt{3} [/tex]
[tex]y = 60[/tex]
[tex]z = 30[/tex]
Step-by-step explanation:
To find x, use pythagorean theorem,
[tex] {x}^{2} + {8}^{2} = {16}^{2} [/tex]
[tex] {x}^{2} + 64 = 256[/tex]
[tex] {x}^{2} = 192[/tex]
x=13.9 or 8 times sqr root 3( see later)
To find y, use cosine ratio.
[tex] \cos(y) = \frac{8}{16} [/tex]
[tex] \cos(y) = \frac{1}{2} [/tex]
[tex]y = 60[/tex]
To find z, use triangle interior theorem
[tex]90 + 60 + z= 180[/tex]
[tex]150 + z = 180[/tex]
[tex]z = 30[/tex]
Since this a 30-60-90 triangle, side x could be also written as
[tex]8 \sqrt{3} [/tex]
The coldest place where humans live is the Siberian village of Oymyakon. On February 1993 the temperature fell to -67.7 degrees c.This is the lowest temperature recorded outside Antarctica!Investigate the temperature in different places around the world.List the temperatures in order,starting with the coldest.
The coldest temperature ever recorded on earth is -89.2 degrees Celsius (-128.5 degrees Fahrenheit) at Vostok, Antarctica on July 21, 1983. That all-time low broke the previous world-record minimum of -88.3 °C (-126.9 °F), set on August 24, 1960, also at Vostok.
Vostok is a Russian research station located high in the middle of the East Antarctic ice sheet, about 1,300 kilometres from the geographic South Pole.
This is a place where the sun doesn't rise during winter. Besides being extremely far south, the station's high elevation, at 3,420 metres (11,220 feet), helps it get really cold.
The conditions that caused the temperature to drop exceptionally low at Vostok in July 1983 were clear skies accompanied by calm air. Vertical mixing of the air was minimal and no wind had stirred for some time.
Vostok is not an outlier in the Antarctic temperature regime. On July 20th, 1968, the temperature at another high elevation research base, called Plateau Station, sank to -86.2 °C (-123.1 °F).
Mhanifa can you please help? I need this done asap and I'm almost done!
Answer:
See attached
All points are plotted and we see the figure we got
8. Rectangle
We can visually confirm that
Opposite sides are parallel and congruentAll interior angles angles are right angles---------------------------------------------------------------------------
9. Square
We can visually confirm that
All sides are congruentAll interior angles angles are right anglesA pair of sandals cost $34.00, and 5% tax is charged on the purchase. How much tax is paid?
Answer:
1.70 of tax is paid
Step-by-step explanation:
34(1+0.05) = 35.7
35.7-34= 1.70
1 represents out 100%
do 5% in decimal form which is 0.05
I would appreciate the help!
Answer:
A
Step-by-step explanation:
What is the approximate area of Nevada?
205 mi
309 mi
Reno
Carson City
511 mi
Las
Vegas
o 221,244 mi?
110,622 mi?
163,295 mi?
O 200,948 mi?
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the concept of Areas,
Let's divide the above map in to 2 parts , that is a rectangle and a triangle, and add both thier areas to get the area of the Nevada.
so we get as,
Area of triangle = 1/2*b*h
Area of triangle ==> 1/2*309*306 ==> 47277 mi^2
Area of rectangle = l*b = 205*309 ==> 63345 mi^2
Area of NEVADA = 47277 + 63345 = 110622 mi^2
hence the area = 110622 mi^2
Answer:
the approximate area of Nevada is 110,567 mi²
If 10% of a number is 12 and 45% of the same number is 54, find 35% of that number.
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 42
Explanation:
120 x .35 = 42
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
42 is your answer
Answer:
let no be x
10% of x=12
x=1200/10=120
again
45% of x=54
x=5400/45=120
here
35% of 120=35/100×120=42
Evaluate the expression when a = 5 and b = 7
b +4a
Answer:
ans=27
Step-by-step explanation:
A=5,B=7
equation is B+4a=(b value is 7),(4a, 4×5=20)
b+4a=7+20=27
hope it will help u friend
MARK ME AS A BRAINLIST
Answer:
27
Step-by-step explanation:
b =7. There is only one B. Then there is 4a's which that means 20.
HELP PLEASE!!! I really dont understand this!
What is the spread of the data?
A. 15 to 30 years
B. 18 to 25 years
C. 21 to 25 years
D. 18 to 21 years