Answer:
The true statements is;
Dilations of an angle must be congruent to the original angle
Step-by-step explanation:
Given that an angle is formed by the intersection of two rays, and that the ratio of the sides of a figure, before and after a dilation are the same, for an angle in a triangle we have, by sine rule;
a/(sin(α)) = b/(sin(β)) = c/(sin(γ))
Rearranging, gives;
a/b = (sin(α))/(sin(β))
Whereby for the dilation, we have;
a'/b' = (sin(α'))/(sin(β'))
We have;
a/b = a'/b'
∴ (sin(α))/(sin(β)) = (sin(α'))/(sin(β'))
Similarly, we have;
(sin(β))/(sin(γ)) = (sin(β'))/(sin(γ'))
(sin(α))/(sin(γ)) = (sin(α'))/(sin(γ'))
Given that α, β, and γ, are less than 180°, we have
α = α'
∴ α ≅ α' by definition of congruency
β = β'
β ≅ β' by definition of congruency
γ = γ'
γ ≅ γ' by definition of congruency
Therefore; dilations of an angle must be congruent to original angle
Twice the difference of a number and 8.
twice the difference of the number and 8 is equal to three times the sum of the number and 3. find the number. 2(x-8)=3x+3 2x-16=3x+3 2x-16-2=3x+3-2 2x+14=3x+1 16/2=4/2 8/2. twice the difference of the number and 8 is equal to three times the sum of the number and 3.
Answer:
Twice the difference of the number and 8 is equal to three times the sum of the number and 3.
Step-by-step explanation:
2(x-8)=3x+3 2x-16=3x+3 2x-16-2=3x+3-2 2x+14=3x+1 16/2=4/2 8/2. Question 229672: twice the difference of the number and 8 is equal to three times the sum of the number and 3.
Hope this helped! <3
Use the work shown. Which expression is equivalent to Negative two-thirds y minus three-fifths x + StartFraction 2 over 9 EndFraction minus four-fifths x + one-third y? y minus four-fifths x + StartFraction 2 over 9 EndFraction minus two-thirds y minus one-fifth x Negative y minus four-fifths x + StartFraction 2 over 9 EndFraction + two-thirds y + three-fifths x One-third y minus StartFraction 7 over 5 EndFraction x + two-thirds minus two-thirds y minus StartFraction 4 over 9 EndFraction Two-thirds y minus StartFraction 7 over 5 EndFraction x + StartFraction 2 over 9 EndFraction + y
Answer:
the answer is C: One-third y minus StartFraction 7 over 5 EndFraction x + two-thirds minus two-thirds y minus StartFraction 4 over 9 EndFraction
Step-by-step explanation:
hope it helps
Answer:
c
Step-by-step explanation:
did the unit test
One cell phone company offers a plan that costs $22.99 and includes unlimited night and weekend minutes. Another company offers a plan that costs $11.99 and charges $0.35 per minute during nights and weekends. For what numbers of night and weekend minutes does the second company's plan cost more than the first company's plan?
Answer:
From 0 to 31.43 minutes Plan 2 is cheaper. From 31.44 Plan 1 is better.
Step-by-step explanation:
First, we need to structure the total cost formula for each fitness center:
Plan 1= 22.99
Plan 2= 11.99 + 0.35x
x= number of minutes
Now, we equal the formulas and isolate x:
22.99= 11.99 + 0.35x
11=0.35x
31.43=x
The indifference point is 31.43 minutes.
From 0 to 31.43 minutes Plan 2 is cheaper. From 31.44 Plan 1 is better.
33 pieces of candy were split among friends. if each person receive 2 pieces and there were 7 left over how many people received a piece of candy
Answer:
2
Step-by-step explanation:
count by 2ś
Answer:
Step-by-step explanation:
count by 2
Divide 8m 40cm by 5 (Answer in
centimeters) (A) 1m 68cm (B) 168cm
(C) 1680cm (D) 168m (E) 16800cm [ ]
show work
Step-by-step explanation:
8 m 40 cm
1 m = 100 cm
Then,
8 m = 8 × 100
= 800 cm
800 + 40 = 840 cm
Now,
It's divided by 5
Then,
840/5
= 168
Therefore,
Option B is correct ✔.
help i’m in a rush please and thank you
Answer:
2
Step-by-step explanation:
-8(17 - 12) / -2(8-(-2))
-8 × 5 / -2 × 10
-40 / -20
= 2
Hope this helps
plz mark as brainliest!!!!!!
Answer:
[tex]option \: c. \: 2[/tex]
Step-by-step explanation:
[tex] \frac{ - 8(17 - 12)}{ - 2(8 - ( - 2))} = \frac{ - 4(5)}{10} = 2. \\ \\
♨Rage♨
[/tex]
Which expression is equivalent to the given polynomial expression?
13p – 3p(1 – 2m) – m(2m – 5p) – m2
Answer:-3m^2+11mp+10p
Step-by-step explanation:
The equivalent expression is:
-3m² + 11mp + 10p
Hence the correct option is 2.
Given is polynomial expression 13p – 3p(1 – 2m) – m(2m – 5p) – m², we need to find an equivalent expression to it,
To simplify the given polynomial expression, let's expand and combine like terms:
13p - 3p(1 - 2m) - m(2m - 5p) - m²
Expanding the expressions inside parentheses:
13p - 3p + 6mp - 2m² + 5mp - m²
Combining like terms:
10p + 11mp - 3m²
Rearranging the terms:
-3m² + 11mp + 10p
Therefore, the equivalent expression is:
-3m² + 11mp + 10p
Hence the correct option is 2.
Learn more about equivalent expression click;
https://brainly.com/question/28170201
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Is there a turning point for the graph?
Explain
what is the sum of the interior angles of a polygon
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Suppose the number of sides are n .
We have following equation to find the sum of the interior angles.
[tex](n - 2) \times 180[/tex]
For Example we want to know what sum of the interior angles of triangle equals ?
Triangle has three sides thus ;
[tex]n = 3[/tex]
[tex](3 - 2) \times 180 = 1 \times 180 = 180 \\ [/tex]
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What is the constant of proportionality?
NEED ASAP PLS
Answer:
1.25
Step-by-step explanation:
Constant of proportionality k = y/x
k = 7.5/6 = 1.25
k = 10/8 = 1.25
k = 12.5/10 = 1.25
Verizon Plan A…..$40 plus $12 per gigabyte
Verizon Plan B…..$30 plus $14 per gigabyte
When would the cost of the two plans be the same?
equation
Answer:
when there are 5 gigabytes
Step-by-step explanation:
40+12x=30+14x
10+12x=14x
10=2x
x=5
Multiply the following numbers. 9(-2) =
Answer:
-18
Step-by-step explanation:
Every time you multiply a positive number to a negative number, it will always be negative.
9(-2) = 9 * -2 = -18
Best of Luck!
i need help with this question
Julio walks 3.5 miles in 1.25 hours. How many miles does he walk per mile?
Answer:
3 1/2 ÷ 1 1/4
7/2 ÷ 5/4
7/2 · 4/5
28/10
2.8
Julio walks 2.8 miles in one hour.
Step-by-step explanation:
Answer:
2.8miles/hr
Step-by-step explanation:
Given parameters:
Distance walked = 3.5miles
Time taken = 1.25hrs
Unknown:
Number of miles walked per mile = ?
Solution:
The miles walked per hour is defined as the speed.
Speed is the distance divided by time;
Speed = [tex]\frac{Distance}{time taken}[/tex]
Insert parameters and solve;
Speed = [tex]\frac{3.5}{1.25}[/tex] = 2.8miles/hr
A seamstress sews 40 witch hats in 4 hours. What is the unit rate?
Answer:
10 hats per hour
Step-by-step explanation:
40/4 = 10
Add or Subtract to Simplify:
(4x2+ x) - (x2+ 2x)
Answer:
9x-4x exponent 2
Step-by-step explanation:
8x+x-4x ex2
9x-4x ex2
Find the slope of the line that passes through each pair of points.
(-4,-5),(-3,-10)
Answer:
-5
Step-by-step explanation:
The National park service is building a 16-mile trail. They will post a sign every 1/8 mile along the trail, including one at the end. There will not be a sign posted at the beginning of the trail. How many signs will they post along the trail? Please can you show me how you got your answer please.
Answer:
128 signs will be posted along the trail
Step-by-step explanation:
From the question,
The national park service is building a 16-mile trail and they will post a sign every 1/8 mile along the trail. To determine how many signs will be posted along the trail, we will divide the length of the trail by the distance in which one sign is to be posted from another.
The length of the trail = 16 mile
The distance in which one sign is to be posted from another = 1/8 mile
Hence,
Number of signs that will be posted along the trail = 16 mile ÷ 1/8 mile
= 16 × 8/1 = 128
Number of signs that will be posted along the trail = 128
This includes the sign that will be posted at the end of the trail.
Since there will not be a sign posted at the beginning of the trail, then
128 signs will be posted along the trail.
Two gallons of water evaporate from a pool every day. Linear or exponential
Answer:
Linear
Step-by-step explanation:
If you plotted points like 1,2 (1 for every day and the 2 for each gallon) then 2,4 then 3,6 it would go up in a straight line.
Heeeeeelp
Please people
I need help asap
Answer:
I dont like you!
Step-by-step explanation:
F(x)=(3x-5)^3f(x)=(3x−5) 3 f, left parenthesis, x, right parenthesis, equals, left parenthesis, 3, x, minus, 5, right parenthesis, cubed h(x)=2\sqrt[3]{x}+8h(x)=2 3 x +8h, left parenthesis, x, right parenthesis, equals, 2, cube root of, x, end cube root, plus, 8 Write h(f(x))h(f(x))h, left parenthesis, f, left parenthesis, x, right parenthesis, right parenthesis as an expression in terms of xxx.
Answer:
[tex]h(f(x)) =6x-2[/tex]
Step-by-step explanation:
Given
[tex]f(x) = (3x-5)^3\\h(x) = 2\sqrt[3]{x}+8[/tex]
Required
Write [tex]h(f(x))[/tex] in terms of x
[tex]h(f(x)) = h((3x-5)^3)[/tex]
To get [tex]h((3x-5)^3)[/tex], we will replace x in h(x) with (3x-5)³ as shown:
[tex]h((3x-5)^3) = 2\sqrt[3]{(3x-5)^3} +8\\ h((3x-5)^3) = 2(3x-5) + 8\\ h((3x-5)^3) = 6x - 10 + 8\\ h((3x-5)^3) = 6x-2\\Hence \ h(f(x)) =6x-2[/tex]
Hence the expression [tex]h(f(x))[/tex] in terms of x is 6x - 2
Write an equation of the parabola with focus
( -4/5,0) and vertex (0,0)
Answer:
[tex]y^2=-\frac{16}5x[/tex]
Step-by-step explanation:
focus: (-4/5, 0) means the distance from the origin to the focus: a=4/5
y² = -4ax
y² = -4(4/5)x
y² = -(16/5)x
Find the slope of the line passing through
these points:
(4,3), (-1,6)
Answer:
(-5,3)
Step-by-step explanation:
move five to the left to get 4 to -1 and 3 up to get 3 to 6
Miyah works for ice cream cart vendor. she receives $25 for taking the car out for a shift plus a commission of $0.10 for each Item she sells.miyah worked a shift Saturday and earned $52.90. which equation can be used to solve for x, the numbers of items miyah sold ?
Answer: 52.90 = 0.10x + 25
Step-by-step explanation:
How much higher is -200 m then 450 m
Answer:
It is -650 higher and 650 lower than 450
Step-by-step explanation:
It is -650 higher and 650 lower than 450.
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Given the set of all even integers between and including -18 to -6,
what is the probability of choosing a multiple of -6 from this set?
Answer:
3/7
Step-by-step explanation:
Given set is {-18,-16,-14,-12,-10,-8,-6}
Probability = Number of favorable outcome / Number of possible outcomes
Favorable outcomes ={ -18, -12, -6}
probability of choosing a multiple of -6 = 3/7
Which measure of central tendency represents the average data point? A. Mode. B. Range. C. Mean. D. Median
Answer:
C: Mean
Step-by-step explanation:
mean means average
Answer:
The answer is C or D depending on if there's any outliers.
what is 4 - 1 1/5 ?
If you buy a car wash at the gas station for $6.00, the cost per gallon is $2.35. Use your equation from the previous question to find how many gallons of gas you could buy with 40 dollars.
if you help fast you will get the brainlest
ps from previous question is y=2.35x+6.00
this is linear equation
Answer:
2.35x+6.00=y
x=number of gallons of gas
Step-by-step explanation:
