Answer:
option 1
as the sides were already given, A and D are the only way that the triangle can have SAS.
The option 1 . ∠A ≅ ∠D is correct and needed to apply SAS similarity theorem in this given condition.
What is SAS (side angle side ) similarity theorem for two triangles?The SAS theorem states that if two triangles have a congruent angles and the sides that define the angle are proportional, the two triangles are similar.
Given are two triangles ΔABC and ΔDEF and their sides AB =7 , AC = 12, DE =14, DF = 24
Then AB/ DE = 7/14 = 1/2
and AC / DF = 12/24 = 1/2
∴ AB / DE = AC/ DF
Therefore the sides AB and AC are proportional to DE and DF
And for the application of SAS the angle defined by these pairs must be congruent.
AB and AC defines ∠A and DE and DF defines ∠D
Thus, ∠A must be congruent to ∠D so that SAS can be to applied to make the given triangles similar.
Therefore, option 1. ∠A ≅ ∠D is correct option
Also, learn more about SAS similarity theorem from the link below:
https://brainly.com/question/22472034
#SPJ2
I need some help pretty please!
Answer:
Number & Cost($)
Feet & Yards
Step-by-step explanation:
Number & Cost:
(2, 38), (4, 76) <====== pick any two point to find constant
constant = (y₂ - y₁) / (x₂ - x₁)
= (76 - 38) / (4 - 2)
= 38 / 2
= 19 <====== k the constant
y = kx
y = 19x
point (2, 38): 38 = 19(2) ===> 38 = 38
point (4, 76): 76 = 19(4) ===> 76 = 76
point (7, 133): 133 = 19(7) ===> 133 = 133
point (9, 171): 171 = 19(9) ===> 171 = 171
Feet & Yards:
(27, 9), (75, 25) <====== pick any two point to find constant
constant = (y₂ - y₁) / (x₂ - x₁)
= (25 - 9) / (75 - 27)
= 16 / 48
= 1/3 <====== k the constant
y = kx
y = 1/3x
point (3, 1): 1 = 1/3(3) ===> 1 = 1
point (12, 4): 4 = 1/3(12) ===> 4 = 4
point (27, 9): 9 = 1/3(27) ===> 9 = 9
point (75, 25): 25 = 1/3(75) ===> 25 = 25
A person on a moving sidewalk travels 21 feet in 7 seconds. The moving sidewalk has a length of 180 feet. How long will it take to move from one end of the sidewalk to the other?
Answer:
59.40
Step-by-step explanation:
it takes .33 seconds to walk 1 foot so multiply that times 180 and you get 59.4
Convert 576 from base 10 to base 5
Answer:
561
Step-by-step explanation:
I think... (I don´t get this question...)
What is the sum of 1/2 and 1/3
Answer:
i am wrong dont do what i am doing
Step-by-step explanation:
is this relation a function
choose correct answer
marking brainlist
Can somebody tell me if I did the primes right?
Answer:
You did! well done
Step-by-step explanation:
Suppose a relief program dropped food and medicine to a disaster area with a paper parachute. If the parachute fell 250 meters, how many feet did the parachute fall?
Answer:
About 820 feet
8.21 exact
Step-by-step explanation:
Multiply length by 3.281
250m * 3.281 = 820.21ft
Please help! Only if you KNOw, I’m confused
Answer:
40
Step-by-step explanation:
1.Kknow the following information;
Remember, the sum of degrees of angles in a triangle is 180.
So say if a traingle contained;
<1, <2, <3,
Then:
<1 + <2 + <3 = 180
2. State the given, and set up an equation;
In this case, it is given that;
<1 = 115
<2 = 25
Therefore, set up the equation;
115 + 25 + <3 = 180
3. Solve the equation;
115 + 25 + <3 = 180
Simplify,
140 + <3 = 180
Inverse operations,
140 + <3 = 180
-140 -140
<3 = 40
A line passes through the points (-6,4) and (-2,2). Which is the equation of the line?
A. y= -1/2x + 1
B. y= 1/2x + 7
C. y= -2x + -8
D. y= 2x + 16
Please Help ☺️
Answer:
Is A
Step-by-step explanation:
(2-4)/(-2--6) = -1/2
And the only answer that has -1/2 as the slope is A
Solve the equation (3^x/2) (3^x/4) = 3^6
x =
Answer:
x = √48
Step-by-step explanation:
[tex] ({3}^{ \frac{x}{2} } )( {3}^{ \frac{x}{4} }) = 3 {}^{6}[/tex]
[tex] {3}^{ \frac{x}{2} \times} {}^{ \frac{x}{4} } = 3 {}^{6} [/tex]
[tex]3 {}^{ \frac{ {x}^{2} }{8} } = 3 {}^{6} [/tex]
[tex] \frac{ {x}^{2} }{8} = 6[/tex]
[tex] {x}^{2} = 6 \times 8[/tex]
[tex] {x}^{2} = 48[/tex]
[tex]x = \sqrt{48} [/tex]
need answer asap!! will give brainiliest!!
define the term linear equation in your own words.
The elevation at ground level is 0 feet. An elevator starts at 29 feet below ground
level. After traveling 70 seconds, the elevator is 52 feet above ground level. What
distance does the elevator travel in those 70 seconds?
Answer:
81
Step-by-step explanation:
I just added the 52 and 29 together.
Plz help I don’t understand
Answer:
The rate of change is increasing, or positive
Step-by-step explanation:
Attached is a link of Mr.Slope, he always helps me.
a woman buys a cooler for rs 800 and pays rs 60 as per transportation charges if she sells the cooler for rs 1200 find her profit percent
Johnny has a jar of coins that has quarters and dimes. There are 57 coins in the jar tha have a total of $7.95. How many dimes are in the jar?
Answer:
37 dimes
Step-by-step explanation:
i was experimenting. 17 quarters and 37 dimes. 17 times .25 is 4.25. 37 times .10 is 3.70. add them and it's correct.
find the pattern what comes next 63,57,51,45
Answer:
counting by 6's
so it would be 69 next if your talking about the left side
or 39 if your talking abt the right side
Hope this helps!
Which equation does the attached graph represent?
A. [tex]x=-2(y+3)^2-2[/tex]
B. [tex]x=2(y+3)^2-2[/tex]
C. [tex]y=-2(x+3)^2-2[/tex]
D. [tex]y=2(x+3)^2-2[/tex]
Hi there!
[tex]\large\boxed{B. \text{ } x = 2(y + 3)^{2} -2}[/tex]
The transformation formula of a horizontal-facing parabola is:
x = ±a(b(y - k)) + h, where the vertex is at (h, k).
Looking at the graph, we can see a vertex at (-2, -3) with a stretch of 2. The graph is also pointed towards the RIGHT, which means that the coefficient "a" must be positive. Therefore:
The only logical answer choice is B, or x = 2(y + 3)² - 2.
The formula indicates that:
* Vertex at (-2, -3)
* Stretch of 2
* Right-facing parabola
3 2/7−(−5/7) mixed number in simplest form.
Answer:h
Step-by-step explanation:
Three friends met for a book club at a coffee shop. Each friend ordered a cup of coffee and two donuts. The total of the order was $21.75. A. If a cup of coffee costs $3.25, then use the diagram to write an equation to solve for c, the cost of the donut.
the cost of a donut is $2 and the equation that represents the given scenario will be:
3d + 6c = 21.75d = 3.25What is a Linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
Given, Three friends met for a book club at a coffee shop. Each friend ordered a cup of coffee and two donuts. The total of the order was $21.75.
Let " d" be the cost of a cup of coffee
and "c" be the cost of the donut
Since Each friend ordered a coffee and a donut
And there are 3 friends
Thus,
3(d + 2c) = 21.75
3d + 6c = 21.75
Also given, a cup of coffee costs $3.25
d = 3.25
Substituting the values in equation 1
9. 75 + 6c = 21.75
6c = 12
c = 2
therefore, the cost of a donut is $2.
Learn more about Linear equations here:
https://brainly.com/question/11897796
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Is my answer correct?
Answer:
yes
Step-by-step explanation:
Help plz:))) I’ll mark u brainliest
ASAP!!!
Answer:
i THINK this is correct
Step-by-step explanation:
x = 13
Answer:
I think its 13
Step-by-step explanation:
because the line above it which is 18 looks like the same length. So I would subtract 5 from 18 to get 13. because 13+5 is 18. Good luck!!
2x + 3 = x + 5
What is the value of x
Answer: x=2
Step-by-step explanation: Subtract
3
3
3
from both sides of the equation
2
+
3
=
+
5
2
x
+
3
=
x
+
5
2x+3=x+5
2
+
3
−
3
=
+
5
−
3
2
x
+
3
−
3
=
x
+
5
−
3
2x+3−3=x+5−3
2
Simplify
Subtract the numbers
Subtract the numbers
2
=
+
2
2
x
=
x
+
2
2x=x+2
3
Subtract
x
x
from both sides of the equation
2
=
+
2
2
x
=
x
+
2
2x=x+2
2
−
=
+
2
−
2
x
−
x
=
x
+
2
−
x
2x−x=x+2−x
4
Simplify
Combine like terms
Multiply by 1
Combine like terms
PLEASE HELP!!! A plumber charges $14 per hour and a $20 flat fee for service. If Ashley's total comes to $111, how many hours did the plumber work? Write an equation to show how you would solve.
Answer:
The plumber worked for 6.5 hours.
Step-by-step explanation:
$111 - $20 = 91
91 / 14 = 6.5
Answer:
6.5 hours
Step-by-step explanation:
111 - 20 = 91, 91 divided by 14 = 6.5, he worked 6.5 hours. Hope this helps!
Solve for n.
n - 26 = -13
n =
Answer:
n= 13
Step-by-step explanation:
.................
Answer:
n=13
Step-by-step explanation:
because 26 is a negative you know that n has to be a positive so you subtract 13 from 26 and that's your answer
writing equations- point & slope
through (-5,3) slope: -3/10
Answer:
y = -.3x + 1.5
Step-by-step explanation:
See attached Screenshot using Desmos to write equation.
Mrs. Clarke saved $60 by buying a dress at a 30% discount. The original price of the dress was
Answer:
$200Step-by-step explanation:
Step one:
given
let the original price of the be x
discount = 30%
30 of x is $60
Step two:
Mathematically
30/100*x=60
0.3x=60
divide both sides by 0.3
x=60/0.3
x=200
Hence the original price of the dress is $200
How much should Jordan budget monthly for an annual expenditure that coast $614.66? *
TIMED!
Answer:
he should budget about $51.22
Step-by-step explanation:
annual mean one year since there is 12 months in a year you would want to divide 12 to $614.66
Answer:
i think it's $51.22 Cause it said annual which means one year and it has 12 months so the actual price devide by 12
am not that sure tho cause the question is tricky
The cubic polynomial below has a double root at r4 and one root at x = 6 and passes Through the point (2, 36) as shown. Algebraically determine its equation in factored form. Show how you arrived at your answer.
PLEASE HELP ITS BEEN HOURS
The graph in the question is missing.
Answer:
y = [tex]\frac{-1}{4}( x^3 + 2x^2 - 32x -96)[/tex]
Step-by-step explanation:
The function is cubic
It has roots as -4, -4 , 6
this means the value of x = -4, -4 , 6 which makes the entire equation zero
so we have solutions as
x+4 = 0
x+4 = 0
x- 6 = 0
on forming a cubic equation using these
(x+4)(x+4)(x-6)
the equation passes through (2,36)
put x = 2
(2+4)(2+4)(2-6) = (6)*(6)*(-4)
which exceeds 36 so we product the equation with -1/4 to get 36
Final equation
y = [tex]\frac{-1}{4} (x+4)(x+4)(x-6)[/tex]
y = [tex]\frac{-1}{4}( x^3 + 2x^2 - 32x -96)[/tex]
Use the figure to find the measures of
<1 and <2
What is the slope of this line?
Answer:
4/5
Step-by-step explanation: