Answer:
Original coordinates of F is (2,1)
Step-by-step explanation:
when DEFG is dilated by a scale factor of 1/2 with a dilation center of (0, 0), coordinates of point F' will be
( 2 x 1/2, 1 x 1/2 ) = ( 1, 1/2 )
The altitude to the hypotenuse of a right triangle divides the hypotenuse into 15 inches and 30 inch segments. Explain or show how to find the exact length of the altitude including the correct value. Then explain or show how to find the length of each leg including the correct values.
9514 1404 393
Answer:
CX = 15√2 inches
BC = 15√3 inches
AC = 15√6 inches
Step-by-step explanation:
In this geometry, all of the triangles are similar:
ΔABC ~ ΔACX ~ ΔCBX
Corresponding segments are proportional in similar triangles, so we have ...
AX/CX = CX/BX = (long leg)/(short leg)
Filling in the numbers, we get
30/CX = CX/15
CX² = 15×30
CX = 15√2 . . . . . exact length of the altitude (inches)
__
Similarly, we can form proportions with the legs:
AB/BC = CB/BX
BC² = (BX)(AB) = (45)(15)
BC = 15√3 . . . inches
and
AC/AB = AX/AC
AC² = (AX)(AB) = (30)(45)
AC = 15√6 . . . inches
_____
Additional comment
You may notice that each of the segments we're interested in is the root of a product involving segments of the hypotenuse. This "root of a product" is called the geometric mean. Here, the three geometric mean relations are ...
altitude = geometric mean of hypotenuse segments
short side = geometric mean of short segment and whole hypotenuse
long side = geometric mean of long segment and whole hypotenuse
__
Strictly speaking the geometric mean is the n-th root of the product of n items. Here, there are only 2 items, so it is the square root of their product.
Aaron buys a game for $25.00 and has to pay $2.00 for tax. What is sales tax rate?
Answer:
$12.50
Step-by-step explanation:
divide
pls help need it ASAP
Answer:
D
Step-by-step explanation:
2x>7
x>7/2
x>3.5
Answer:
D
Step-by-step explanation:
Have a day as amazing as you are :D
PLEASE HELP IMMIDEATIALY BFHBGDWAHDW
Answer:
zeros and AoS
Step-by-step explanation:
zeros, x = (1 , -7)
AoS:x =-1
In triangle PQR, the angles are in the ratio 2 : 3 : 4. Find all the angles (urgent)
Answer:
40°, 60° and 80°
Step-by-step explanation:
sum the parts of the ratio, 2 + 3 + 4 = 9 parts
Divide 180° ( sum of angles in a triangle) by 9 to find the value of one part of the ratio.
180° ÷ 9 = 20° ← value of 1 part of the ratio , then
2 parts = 2 × 20° = 40°
3 parts = 3 × 20° = 60°
4 parts = 4 × 20° = 80°
The angles in the triangle are 40°, 60°, 80°
Evaluate (3n + 2) – 10 when n = 3.
First, evaluate within the parentheses. Then evaluate exponents. Next multiply and divide from left to right. Then, add and subtract from left to right.
Evaluate the expression for the given value of the variable and use the drop-down menus to complete the statements.
Substitute the given value for the____ .
Use the____ to simplify.
First, complete the _____ inside the parentheses.
Next, complete the ___ inside the parentheses.
Last, complete the subtraction.
The value is ____.
Answer:
Substitute the given value for the
✔ variable
.
Use the
✔ order of operations
to simplify.
First, complete the
✔ multiplication
inside the parentheses.
Next, complete the
✔ addition
inside the parentheses.
Last, complete the subtraction.
The value is
✔ 1
.
Step-by-step explanation:
Answer:Evaluate (3n + 2) – 10 when n = 3.
First, evaluate within the parentheses. Then evaluate exponents. Next multiply and divide from left to right. Then, add and subtract from left to right.
Evaluate the expression for the given value of the variable and use the drop-down menus to complete the statements.
Substitute the given value for the
✔ variable
.
Use the
✔ order of operations
to simplify.
First, complete the
✔ multiplication
inside the parentheses.
Next, complete the
✔ addition
inside the parentheses.
Last, complete the subtraction.
The value is
✔ 1
.
Step-by-step explanation:
HELP ME PLS
i’ll mark brainlist
Answer:
14.3 yds.
Step-by-step explanation:
c=√a^2 +b^2
c=√14^2 +3^2
c=√=196+9
c=14.31782106327
c=14.3 yds.
Answer:
XZ = 14.32 yd
Step-by-step explanation:
Use the Pythagorean theorem
14^2 + 3^2 = XZ^2
196 + 9 = XZ^2
XZ^2 = 205
XZ = 14.32 yd
Lisa works as a waitress. The data set below shows Lisa's daily gratuity income, in dollars, over 15 days of work. 90, 80, 85, 115, 55, 60, 97, 73, 70, 110, 112, 58, 92, 78, 100 Using a box plot, determine which of the following are true regarding the data set above. The data is skewed left. The data is skewed right. The data is symmetric. The IQR is 30. A. III only B. II and IV C. I and IV D. III and IV
Answer:
The data is symmetric.
The IQR is 30.
Step-by-step explanation:
Answer:
The data is symmetric.
The IQR is 30.
Sarah used 2.5 cups of cheese in a dish that serves 10 people. Amyn used 1.6 cups of cheese in a dish that serves 8. How much more cheese is in one serving of Sarah's dish?
An equilateral triangle has a perimeter of 24 centimeters. If the triangle is dilated by a factor of 0.5, what is the length of each side of the new triangle?
Answer:
4
Step-by-step explanation:
To find the side length of the original triangle:
24/3=8 (because it is an equilateral triangle).
Because the triangle is dilated by a factor of 0.5 and the triangle is equilateral, the side lengths of the new triangle is
8*0.5=4
1. Write the ratio of the first measurement to the second: 8 ft. 4 in. to 6 in.
Answer:
6:100 or 3:50
Step-by-step explanation:
8ft 4 in = 100 inches
Someone plz help me giving brainliest!!
Answer:
142.72
Step-by-step explanation:
In the question it states that the number in the hundreds place should be twice the number in the hundredth place.
142.72
1 is in the hundreds place. Now the value in the hundredth place should be twice the value of 1. When it say twice it says 2 times the number. 1 time 2 = 2 which would make the answer true.
Hope this helps, thank you :) !!
I HAVE 3 MINUTES LEFT!!!! URGENT PLSSSSSSSSSSSS HELPPPPPPPPPPPPPPPPPPPPP
Macy described four triangles as shown below:
Triangle A: All angles measure 60°.
Triangle B: All sides have length 6 cm.
Triangle C: Two sides have length 6 cm, and the included angle measures 60°.
Triangle D: Base has length 6 cm, and base angles measure 50°.
Which triangle is not a unique triangle? (1 point)
Step-by-step explanation:
triangle c two sides measure length 6cm
Plzzzz brainlest I swear
Answer: 8
Step-by-step explanation: on the left chain, there are 5 4’s, so 4 times 5 is 20 Because you know that, subtract it from 60 to only have the W’s values. So 60-20 is 40 and because there is 5 w’s do 40/5 is 8. Therefore, the value of the w’s is 8 and the value of the 4’s is 20
Answer:
1024.
Step-by-step explanation:
4x4x4x4x4= 1024
I hope this is correct and I hope this helps. My apologies if it´s wrong.
HELP ME!!DO NOT ANSWER JS FOR POINTS:(
Three different items price tags have fallen off.
In the table, match up the original price, the discount, and the discounted price for each item.
Then find the missing discounted price.
Answer:
Discount of Original Price = Discounted Price
20% of $30 = $24
30% of $24 = 16.8
40% of $35 = $21
Explanation:
0.2 x 30 = 6
30 - 6 = 24
0.3 x 24 = 7.2
24 - 7.2 = 16.8
0.4 x 35 = 14
35 - 14 = 21
What value of x makes this equation true? 2/3x - 5 = 1/6x + 3
Answer:
x=16
Step-by-step explanation:
Ms. Lynette earns $19.50 an hour when she works overtime. She worked overtime twice this week. One day she worked 3 hours of overtime. Her total overtime pay for the week is $146.25.
Write an equation to find the number of overtime hours she worked on the second day.
Answer:
4 1/2 hours
Step-by-step explanation:
Equation(s):
--
(146.25 - (19.50 x 3)) ÷ 19.50 =
4.5 or 4 1/2 hours
--
#LFM #Brainly
Find the total surface area of this cuboid 4cm 2cm 5cm
Answer:
76cm²
Step-by-step explanation:
SA=2lw+2lh+2hw
length=4cm
width=2cm
height=5cm
= 2(4×2+4×5+5×2)
=8+20+10
=2×38
=76cm²
Rearrange x=3g+2 to make g the subject
Step-by-step explanation:
Given
x = 3g + 2
Making g as a subject then
3g = x - 2
g = ( x - 2 ) / 3
Hope it will help :)❤
Answer:
g=(x-2)/3
Step-by-step explanation:
High School's track team won 8 meets and lost 2. What is the ratio of wins to the total number of track meets?
PLS I NEED THIS DONE QUICK.
A side of the triangle below has been extended to form an exterior angle of 116. Find the value of x
Answer:
[tex]x=64 \textdegree[/tex]
Step-by-step explanation:
From the question we are told that
Angle of extension [tex]y=116 \textdegree[/tex]
Generally the angle formed at x is mathematically given as
[tex]x=180-116[/tex]
[tex]x=64 \textdegree[/tex]
Answer:
26°
Step-by-step explanation:
A side of the triangle below has been extended to form an exterior angle of 116°. Find the value of xx.
The answer is 26° i tried 64 and it was incorrect.
What is the postulate?
Step-by-step explanation:
Blank #1 STQ
Blank #2 SSS (Side-Side-Side)
Angle P and angle Q are complementary. Determine the measures of the angles if m∠P = (x + 4)° and m∠Q = (5x − 4)°. Type the number ONLY
Answer:
p = 19 and q = 71
hope it helps
thanks
which expression is equivalent to 3x -5?
Answer:
3x - 5 = 3x + (-5)
Step-by-step explanation:
Janessa sleeps 7 1/2 hours each night. How many minutes does she sleep each night?
Answer: 450 minutes
Step-by-step explanation: First you find 7 hours to minutes by multiplying 7 by 60. You will get 420. Then, add 420 and 30 because a half of an hour is 30 minutes. Your final answer will be 420 minutes!
Your welcome!
Good night!
i’ll give brainliest, just help me please : )
Find the sale price of the item. Round to two decimal places if necessary.
Original price: $85.00
Markdown: 34%
The sale price is
which is better 9.95 for 30oz of coffee or 3.50 for 12oz of coffee
Answer:
9.95 for 30oz
Step-by-step explanation:
30/9.95 = 3.02
12/3.5 = 3.43
how to write "The product of a number and -2 increased by 10"?
expand and simplify 5(2-1)+2(3x-6)
Answer:
6x-7
Step-by-step explanation:
Answer:
[tex]6x - 7[/tex]
Step-by-step explanation:
1) Simplify 2-1 to 1.
[tex]5 \times 1 + 2(3x - 6)[/tex]
2) Simplify 5 × 1 to 5.
[tex]5 + 2(3x - 6)[/tex]
3) Expand by distributing terms
[tex]5 + 6x - 12[/tex]
4) Collect like terms.
[tex]6x + (5 - 12)[/tex]
5) Simplify.
[tex]6x - 7[/tex]
So, therefor, the answer is 6x - 7.