Answers
Seeing that both triangles are side by side and share a side, we know that that side of both triangles is congruent.
Then when you look at the angles, you will see that one on each triangle has one curved line. This one curved line shows that these angles are congruent.
There is then the two curved lines you can find on both triangles as well. This shows that both those angles are congruent.
With this information, you should be able to tell that two angles of the triangles are congruent, and one side of both triangles are congruent, with the order that these are shown on the triangles being an angle, then a side, then another angle, the answer would be ASA, or angle, side angle.
Related Questions
110=-8(2x+9)-3 this is urgent HELP
Answers
Answer:
∴x=-11.5625
Step-by-step explanation:
110 = -8 (2x+9 ) -3
110 = -16x - 72 -3
185 = -16x
∴x=-11.5625
The focus of a parabola is [tex](0, 2)[/tex], and its directrix is the vertical line [tex]x=-6[/tex]. Identify the axis of symmetry, the vertex, and the direction the parabola opens.
Answers
Answer:
[tex]\huge\boxed{\text{Axis of Symmetry: } y = 2}[/tex]
[tex]\huge\boxed{\text{Vertex: } (-3, 2)}[/tex]
The parabola opens to the right (horizontally)Step-by-step explanation:
We need to note a few basic rules about focuses and directrix’s of a parabola.
1. The directrix never touches the parabola, however it is perpendicular to the axis of symmetry
2. The focus never touches the parabola, however it lies on the axis of symmetry of the parabola
3. The directrix is always the same distance away from the vertex as the focus
If we know that the focus of the parabola is (0, 2) and the directrix lies on x=-6. that means these points are 6 units apart as we can assume the line x = -6 crosses the point (-6, 2), making these points 6 units apart (since |-6 - 0| = 6)
These are 6 points apart horizontally, via the x-axis, meaning that this is a horizontally facing parabola, and it opens to the right. We know it can’t open to the left because then the directrix (x = -6) would touch the parabola and then it wouldn’t be a directrix!
The vertex of the parabola will be the same distance away from the focus and the directrix. Since these are 6 units apart, that means the focus will lie [tex]6 \div 2 = 3[/tex] units away from either one.
Halfway between 0 and -6 is -3, so we know the vertex lies on x-coordinate -3. We also know that the focus is on y-value 2, meaning that the vertex will also be on y = 2, since the focus is always on the axis of symmetry.
So our vertex is at [tex](-3, 2)[/tex].
We know that this is a horizontally facing parabola, meaning that our axis of symmetry is going to lay on a y coordinate. The axis of symmetry always contains the vertex, so that means that we can just take the y value of the vertex and use that as the axis of symmetry. The vertex lies at y value 2, meaning that the axis of symmetry is [tex]y=2[/tex]
In conclusion
The vertex is at [tex](-3, 2)[/tex] The axis of symmetry is at [tex]y=2[/tex] The parabola opens to the right (horizontally)Hope this helped!
Write an expression to represent:
The sum of ten and the quotient of a number 2 and 6.
Answers
Answer:
x=10+(2/6)
Step-by-step explanation:
Hope this helped!
Answer:
10 + 2/6
Step-by-step explanation:
A quotient is the answer to a division problem.
A sum refers to addition.
Would appreciate Brainlitest!
Given that x=8 and y= 12, calculate the value of x3 + y/4
Answers
Answer:
72
Step-by-step explanation:
8 times 3 = 24
12 divided by 4 = 3
24 times 3 = 72
(8)(3)+12/4
24+3
27 is your answer
• You have given an equal sided triangle with side length a. A straight line connects the center of the bottom side to the border of the triangle with an angle of α. Derive an expression for the enclosed area A(α) with respect to the angle (see drawing).
Answers
9514 1404 393
Answer:
[tex]A(\alpha)=\left\{\begin{array}{ccc}\dfrac{a^2\sqrt{3}\sin{(\alpha)}}{16\sin{(\alpha+\dfrac{\pi}{3})}}&\text{if $\alpha\le\dfrac{\pi}{2}$}\\\\\dfrac{a^2\sqrt{3}}{4}\left(1-\dfrac{\sin{(\alpha)}}{4\sin{(\alpha-\dfrac{\pi}{3})}}\right)&\text{if $\alpha>\dfrac{\pi}{2}$}\end{array}\right.[/tex]
Step-by-step explanation:
If we place the bottom center at the origin and make the sides of the triangle 2 units, then the right side can be described by the equation ...
y = √3(1 -x)
and the terminal side of the angle α can be described by ...
y = tan(α)·x
We want the height of the shaded area, which is the y-coordinate of the point of intersection of these two lines.
y = √3(1 -y/tan(α)) . . . . substituting for x
y = √3·tan(α)/(√3 +tan(α)) . . . . solved for y
Since we have defined the base of the shaded area to be 1, the shaded area is half this value, or ...
A(α) = (√3/2)tan(α)/(√3 +tan(α))
Further manipulation can put this in the form ...
A(α) = (√3/4)sin(α)/sin(α+π/3) . . . . for α ≤ π/2, side length 2
__
For α > π/2, we need to subtract the area A(π-α) from the area of the whole triangle. This gives an area (after some rearranging) of ...
A(α) = √3(1 -sin(α)/(4·sin(α-π/3))) . . . . for α > π/2, side length 2
__
The problem statement defines the triangle as having a side length of 'a', so the final area formula will be a factor of (a/2)² times the above expressions. That is ...
[tex]A(\alpha)=\left\{\begin{array}{ccc}\dfrac{a^2\sqrt{3}\sin{(\alpha)}}{16\sin{(\alpha+\dfrac{\pi}{3})}}&\text{if $\alpha\le\dfrac{\pi}{2}$}\\\\\dfrac{a^2\sqrt{3}}{4}\left(1-\dfrac{\sin{(\alpha)}}{4\sin{(\alpha-\dfrac{\pi}{3})}}\right)&\text{if $\alpha>\dfrac{\pi}{2}$}\end{array}\right.[/tex]
_____
The graph (second attachment) shows the area as a function of α (in degrees) for a unit triangle. There are inflection points in the curve at 30°, 90°, and 150°
Justin was asked to write six different equations based on the triangle below.
600
10
Four of the six equations that Justin wrote are correct. Select FOUR equations that are correct.
tan (60) = 73
tan ( 30 ) =
A
B.
c.
cos ( 30") =
D.
sin ( 60 ) = ?
E. F
cos (60) =
sin ( 30 ) = 3
Answers
Answer:
ADEF
Step-by-step explanation:
Four of the six equations that Justin wrote are correct which are Trigonometric functions as sin 60° =√3/2, cos 60° = 1/2, tan 60° = √3, and cot 60° = 1 /√3.
What are Trigonometric functions?Trigonometric functions are defined as the functions which show the relationship between the angle and sides of a right-angled triangle.
Given that ΔABC
∠A = 60° and ∠B = 90° which is given in the figure
⇒ sin 60° = perpendiculer /hypotenuse
⇒ √3/2 = BC/10
⇒ BC = √3/2 × 10
⇒ BC = 5√3
⇒ tan 60° = perpendiculer /base
⇒ √3 = 5√3/AB
⇒ AB = 5√3/√3
⇒ AB = 5
⇒ sin 60° = 5√3/10 = √3/2
⇒ cos 60° = base / hypotenuse
⇒ cos 60° = 5/10 = 1/2
⇒ tan 60° = perpendiculer /base
⇒ tan 60° = 5√3/5 = √3
⇒ cot 60° = 1 /√3
Hence, four of the six equations that Justin wrote are correct which are Trigonometric functions as sin 60° =√3/2, cos 60° = 1/2, tan 60° = √3, and cot 60° = 1 /√3.
Learn more about the Trigonometric functions here:
brainly.com/question/6904750
#SPJ2
Is the ratio 4 to 7 the same as 7 to 4 ?
Answers
Answer:
uhhhhh Expressed as a fraction, with the numerator equal to the first quantity and the denominator equal to the second, the answer would be 7/4. Two other ways of writing the ratio are 7 to 4, and 7:4.
Step-by-step explanation:
just math
Answer:
Yes because it doesn´t matter how you write a ratio
Step-by-step explanation:
Because it doesn´t matter how you write a ratio
Find the sum (2x−6)+4(x−3) =
Answers
Answer: x=-2
Step-by-step explanation: First we can multiply 4 times anything in the parantheses to get rid of it.
(2x-6)+4(x-3)
(2x-6)+4x-12
Then we combine like terms.
(2x-6)+4x-12
6x-6-12
6x-18
Finally we divide both sides 6.
6x-18
6x/6-18/6
x=-2
The final answer is x=-2
Hope this helps!
Btw this is a backup account
Answer:
6x - 18
Step-by-step explanation:
Distribute: 2x − 6 + 4x − 12
Group Common Factors: 2x + 4x - 6 -12
Solve: 6x - 18
I hope this helped, please mark Brainliest, thank you!
What is the value of the 11th term in the sequence -3, -6, -12, -24, ...?
A. -6,144
B. -118,098
C. -3,072
D. -354,294
Answers
Answer:
C
Step-by-step explanation:
There is a common ratio r between consecutive terms in the sequence, that is
- 6 ÷ - 3 = - 12 ÷ - 6 = - 24 ÷ - 12 = 2
This indicates the sequence is geometric with n th term
[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = - 3 and r = 2 , thus
a₁₁ = - 3 × [tex]2^{10}[/tex] = - 3 × 1024 = - 3072 → C
A store has clearance items that have been marked down by 45%. They are having a sale, advertising an additional 35% off clearance items. What percent of the original price do you end up paying?
Answers
Answer:
35.75%
Step-by-step explanation:
Given that:
Markdown % = 45%
Additional percentage off = 35%
45% markdown :
100% - 45% = 55% of item price will be paid.
Furthermore,
35% additional discount :
100% - 35% = 65% of item price will be paid
Hence, percentage of original price paid:
(55% * 65%) = 0.3575
= 35.75% of the original price is paid
The sum of the two shorter sides of a triangle must be greater than the longer side. the shorter side of a triangle is 8 inches and the longest side is 18 inches. how long must the third side of a triangle be?
Answers
How do i find lines AC, BD, and EC?
Answers
Answer:
All equal 11
AC=11
BD=11
EC=11
Step-by-step explanation:
The shape is a square and all sides of a square have the same length. The marks ‘II’ means that they are all parallel.
PLEASE HELP ILL GIVE YOU DA BRAINLIESTTTTT
Answers
Answer:
x=2, And i think the 2nd one is reflexive
Step-by-step explanation:
-14 -14
6x=12
6 6
X=2
And the other answer i think is C.
x2 - 4x + ______________________
Answers
Answer:
4
Step-by-step explanation:
You would complete the square by dividing the b value by 2, and then squaring it. In this case, the b value is -4. You would divide -4 by 2 and get -2. Now, you would square -2, and you would get 4.
Help solve this issue with mathematics
Answers
Answer:
last one
Step-by-step explanation:
i would say the last one, but im not sure, this one is really hard
Simplify: (2a)(-5b)
?
Answers
Answer:
-10ab
Step-by-step explanation:
(2a)(-5b)
Multiply the constants
2* -5 = -10
Multiply the variables
a*b = ab
Combine
-10ab
The expression -10ab represents the product of 2a and -5b
To simplify the expression (2a)(-5b), we can multiply the coefficients and combine the variables.
Multiplying the coefficients, 2 and -5, gives us -10.
For the variables, we multiply the like terms, which in this case are 'a' and 'b'. When we multiply 'a' and 'b', we simply write them side by side: ab.
Therefore, simplifying (2a)(-5b) results in -10ab.
The expression -10ab represents the product of 2a and -5b, combining the coefficients and variables into a single term. It is important to note that the order of the variables, 'a' and 'b', is maintained in the simplified form.
Learn more about expression here
https://brainly.com/question/11570526
#SPJ6
Please help me before I fail... I really need some help <3 please ;-;
Answers
Answer:
the answer is 1.0 if u use sin to solve it, thus, u would get 0.9 of which if u round it u will get the answer above
Answer: and Step-by-step explanation:
sin(61) = x/55
55(sin(61)) = x
48.1 = x
Hope this helps!
What is the standard deviation of this data? Round your answer to the nearest hundredth of a number?
10, 12, 8, 2
Answers
Answer:
3.74
Step-by-step explanation:
Count, N: 4
Sum, Σx: 32
Mean, μ: 8
Variance, σ2: 14
Hope this helped!
Ian's car can go 140 miles on 4 gallons of gas. During a drive last weekend, he used 5 gallons of gas. How far did he drive? Use pencil and paper. Explain how the problem changes if you were given the distance driven last weekend instead of how much gas he used.
Answers
140 miles / 4 gallons = 35 miles per gallon.
35 x 5 = 175 miles
Answer:
The car would be able to drive 175 miles with 5 gallons of gas.
Step-by-step explanation:
Every gallon of gas would give you 35 miles of distance.
To do this you divide 140 by 4 which is 35 that means 1 gallon of gas is 35 miles.
Add a extra gallon gas and also add the amount of distance the gas will give you (35 miles). Add that to 140 miles and then you get 175 miles.
For every 35 miles, I gallon of gas is used.
Hope this helps.
Whoever answers correctly earns brainliest.
Savannah drew a map of Texas for her Geography class. According to Savannah’s map scale, one-
half inch on the map represents approximately 77.5 kilometers. If the actual distance from Austin to El
Paso is approximately 930 kilometers, what is the approximate distance
between Austin and El Paso on Savannah’s map?
Answers
Answer:
6 inches
Step-by-step explanation:
First, take the 930 kilometers and divide it by 77.5 kilometers. You will get 12. This means the distance between Austin and El Paso is 12 one half inches. That is equivalent to 6 inches.
Least to greastest .
Answers
Answer:
these are fromeast to greatest
9^10
9^5
1^3/4
1^3/20
Answer
Least #3 - #2 - #4 - #1 Greatest
Step-by-step explanation:
The high school band sells cured hams for a fundraiser. The first week of the
fundraiser, the club sells 8 cases of hams. Each case contains 10 hams. The goal is to
sell at least 20 cases. During the second week of the fundraiser, the club meets its
goal. Which graph of the inequality can be used to find the possible number of hams
sold the second week?
Answers
Answer:
ITS THE SECOND ONE
Step-by-step explanation:
Umm I kinda need help pls
Answers
Answer:
what help would i do
Step-by-step explanation:
Jackie rode her bike around McAllister Park last week. The trail is 8.54 miles long. If she rode around the park 4 times last week, how many miles did she travel in all?
Answers
Answer:
34.16 Miles Traveled
Step-by-step explanation:
If she rode around the 8.54 mile park four times you would multiply four by 8.54 to get your answer. Hope this helps!
I need help ill giv3 brainlyness
Answers
Answer:
i think the answer if (-9,-3)
Step-by-step explanation:
Tell me if i got it right so i can see where i made a mistake IF i got it wrong
Brainliest to right answer, dont answer if your not sure...also based on the previous answer are the equations equivalent?
Answers
Answer:
D
Step-by-step explanation:
To get from A to B you must divide by x on each side, therefore dividing by the same variable expression
The sum of 2 numbers is 150.One number is 12 more than the other number.What is the smaller number?
Answers
I think this because 150/2 is 75
75-12=63
the small number would be 63
the larger number just in case u need it btw is 87 I think
hope this helps
Answer: Why did you type on my answer "Thanks for the points".
Step-by-step explanation:
1
2
3
23. Short Answer--- Emily slid down She
the sliding board at the park. A. top
Where did Emily have the most bott
potential energy? B. Where did
Emily have the most kinetic
energy?.
I need help with this plz
Answers
Answer:
Most kinetic energy on the top
please help!! thank you
Answers
Answer:
28/15
Step-by-step explanation:
17/5 x 2/3 28/15
Answer:
The answer is 34/15
Step-by-step explanation:
Convert the mixed number to an improper fraction - 17/5Then multiple 17/5 and 2/3 and you get 34/15If you don't know how to change mixed numbers you multiple the denominator and the number on the outside. After you get the answer you add the numerator to the sum.
the first answer gets brainliest whether it's right or wrong :)
Answers
Answer:
1 :)
Step-by-step explanation:
8 x 7=56
7 x 1=7