Answers
Answer:
Options A , D , E
Step-by-step explanation:
Triangle has angles 27° and 45°
The third angle = 180 - 27 - 45 = 108°
Therefore, the angles of ABC are 27° , 45° , 108°
=> ABC is Scalene triangle .
Option A :
Triangle DEF :
3x + 5x + 12x = 180°
20x = 180°
x = 9
Therefore , the angles of DEF = 27° , 45° , 108°
Satisfies
Option B:
Triangle GHI is Isosceles triangle with one angle 108°
But ABC is scalene , therefore not similar.
Does not satisfy.
Option C :
Triangle JKL with one of the angle = 72°
But none of the angles of ABC is equal to 72° .
Therefore, not similar.
Does not satisfy.
Option D :
Triangle MNO have angles 45° and 108°.
Sum of angles of triangles = 180°
So the third angle of MNO = 27°
Therefore , MNO is similar to ABC.
Satisfy.
Option E:
Angles of triangle PQR are 45° , x° , 4x°
Lets find all the angles .
45 + x + 4x = 180°
5x = 180 - 45
5x = 135
x = 27
Therefore, the angles of PQR = 45° , 27° , 108°
Hence similar to triangle ABC.
Satisfy
Option F :
Angles of triangle STU (5x + 3)°, (9x)° , (21x + 2)°
Sum of the angles => 5x + 3 + 9x + 21x + 3 = 180°
=> 35x = 180 - 5
=> 35x = 175
=> x = 5
Therefore, the angles are
5x + 3 = 5( 5) + 3 = 25 + 3 = 28°
9x = 9 ( 5 ) = 45°
21x + 2 = 21(5) + 2 = 105 + 2 = 107°
The angles are not congruent to the angles of Triangle ABC
does not satisfy.
Related Questions
A rectangular vegetable patch has a perimeter of 18 meters. Its area is 18 square meters. What are the dimensions of the vegetable patch?
Answers
Answer:
6 meters and 3 meters are the dimensions of the vegetable patch.
Step-by-step explanation:
Keep in mind the formulas for perimeter and area of a rectangle are:
A - lw
P - 2 (l + w)
List the factors of 18:
1, 2, 3, 6, 9, 18
POSSIBLE DIMENSIONS of the vegetable patch:
1 meter and 18 meters
Area - 18 m^2
Perimeter - 38 meters
2 meters and 9 meters
Area - 18 m^2
Perimeter - 22 meters
3 meters and 6 meters
Area - 18 m^2
Perimeter - 18 meters
The rectangular vegetable patch with the dimensions 3 meters and 6 meters corresponds with the given area and perimeter of the vegetable patch mentioned. So that is your answer.
Hope this helps!
an isosceles triangle is such that AC=BC and has vertices A=(3,4), B=(7,4) and C=(5,8) a) Calculate the length of AC B) the line of symmetry of the triangle meets the line AB at M what are the coordinates of M
Answers
Answer:
Step-by-step explanation:
A( 3 , 4) & C(5 , 8)
Distance = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]
[tex]AC = \sqrt{(5-3)^{2}+(8-4)^{2}}\\\\=\sqrt{(2)^{2}+(4)^{2}}\\\\=\sqrt{4+16}\\\\=\sqrt{20}\\\\= 4.47 units[/tex]
M is the midpoint of AB
A(3,4) &B(7,4)
[tex]M(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})\\\\M(\frac{3+7}{2},\frac{4+4}{2})\\\\M(\frac{10}{2},\frac{8}{2})[/tex]
M(5,4)
.
Use the table provided to find an exponential model ƒ(x) = ab^x, where ƒ is the population of Arizona, and the input is the number of years since 2004. Approximate to the thousandth’s place.
ƒ(x) = 5,939,292 • (1.035)x
ƒ(x) = 5,739,879 • (0.965)x
ƒ(x) = 5,739,879 • (1.035)x
ƒ(x) = 5,739,879 • (0.035)x
Answers
Answer:
this is the same quiestion i was doing if u get answer plz send me
Why is it useful to have different forms of linear equations?
Answers
Linear equation is the equation of a straight line.
Forms of a linear equation
The forms of a linear equation are:
Slope intercept form - [tex]\mathbf{y = mx + b}[/tex].Point slope form - [tex]\mathbf{y - y_1 = m (x - x_1)}[/tex].Standard form - [tex]\mathbf{Ax +Bx = C}[/tex].Slope intercept form
From the slope intercept form, one can easily deduce the slope and the y-intercept of the linear equation
Point slope form
From the point-slope form, one can easily deduce the slope and the points of the graph of the linear equation
Standard form
From the standard form, the values of x and y can be easily calculated.
Hence, the usefulness of having different forms of linear equation is that they all serve different purposes, even through they represent the same graph.
Read more about linear equations at:
https://brainly.com/question/17895632
what is the smallest number by which 6400 must be multiplied to make a perfect cube?
Answers
Answer:
10
Step-by-step explanation:
i looked it up to be sure but if wrong very sorry.
help me with this math question please
Answers
44+56+60+85= 245 Which is the least needed to cover the expenses.
Answer:
$44.00 + $85.00 = $129.00
Step-by-step explanation:
The least amount that she needs is $129.00 because we're summing the amount for food and House Rent.
Movies and Shopping are less important.
Help me please and thank you
Answers
Answer:
Below
Step-by-step explanation:
The domain tells you if there are any restrictions on the x's
The -5 in the function tells us that it has moved 5 units RIGHT from the original parent function. Because of this, any x coordinates have to be bigger or equal to 5!
So, the domain of this function is x >/ 5
Hope this helps!
If a polynomial function has n degree, then it can have at most (n - 1) ____________ in the graph.
Answers
9514 1404 393
Answer:
turning points
Step-by-step explanation:
The number of turning points is the number of real zeros in the derivative polynomial. As you know, the number of real zeros of a polynomial is at most the polynomial degree.
The degree of the derivative is always 1 less than the degree of the polynomial. So, a polynomial of degree n will have at most (n-1) turning points.
I’m having a lot of trouble, can someone guide me, step by step?
Answers
Answer:
Hi hopefully this helps you!
Step-by-step explanation:
To find the area of a circle you can use the formula A = πr^2
The radius of a circle is just the diameter divided by 2. In this case we know the diameter is 3, so the radius is 1.5
A = π(1.5)^2
= 7.07
Because this is a semicircle, divide this area by 2
= 3.53429 in^2
Add up the area of this semi circle with the area of the rectangle
A = (3.53429) + (3x4)
= 15.53429 in^2
To find the circumference/ perimeter of a circle use this formula C = 2πR
C = 2π(1.5)
= 9.42478 inches
Again because this is a semicircle, divide by 2
= 9.42478 / 2
= 4.71239 inches
To find the perimeter of this entire shape add up the circumference of the semicircle and the rectangle's sides and bottom
P = 4.71239 + 4 + 4 + 3
= 15.71239 inches
So the final answer would be
A = 15.53 squared inches
P = 15.71 inches
Hope this helps! Best of luck in your studies <3
There is a loss of Rs 5 when a watch is sold at the discount of 10%. IF the watch is sold at the discount of 5%, there is profit of Rs 22.50. Find the marked price of the watch.
Answers
so 5% *x= 22.5+5=27.5
x=27.5 *20
x=550
Use the drop-down menus to identify the values of the
parabola.
Vertex = (-3, -5), (-2, 0),
(0, 4), or (2, 0)
Domain = x < 0, x > 0, y > 0, or x is a real number
Range = {y| y < 0, 2, 4, or 6}
Answers
Answer:
Vertex= (0,4)
Domain= x: all real number
Range: ( - ∞, 4] or y ≤ 4
OAmalOHopeO
Find the measure of the indicated angle.
Answers
Answer:
Does the answer help you?
solve the following: If 7a – 4b = 3, then b =
Answers
Answer:
D (7a-3)/4
Step-by-step explanation:
7a – 4b = 3
Subtract 7a from each side
7a-7a – 4b = 3-7a
-4b = 3 -7a
Divide by -4
-4b/-4 = (3-7a)/-4
b = (7a-3)/4
Answer:
b = (7a - 3)/4
Step-by-step explanation:
7a - 4b = 3
=> -4b = 3 - 7a
=> b = (3 - 7a)/(-4)
=> b = -(3 - 7a)/4
=> b = (-3 + 7a)/4
=> b = (7a - 3)/4
if 2x +y=-7 and 3x=6+4y are simultaneous equation, what is the value of x-y
Answers
2.) Find the measure of exterior angle X:
Answers
try 110 , sorry if that’s wrong
Answer:
x = 90
Step-by-step explanation:
Here 60 is angle B, 30 is Angle a, B is The third angle of the triangle, and x is the exterior angle measurement!
60 + 30 + b= 180
a + x = 180
60 + 30 + b= 180
90 + b = 180
b = 90
90 + x = 180
x = 90
Note:exterior angle equal to the sum of its two opposite non-adjacent interior angles.
simplify (5^0+4^-0•5)^2
Answers
Answer:
anything raised to the power of zero= 1
(1+1/4^½)²
(1 + 1/2)²
(3/2)²
9/4
=2.25
Factor 4n4 + n3. find the factor
Answers
Answer:
n^3( 4n+1)
Step-by-step explanation:
4n^4 + n^3
2*2*n^3*n + 1*n^3
Factor out the common terms
n^3( 4n+1)
help me please!!! :)
Answers
Answer:
D
Step-by-step explanation:
f(x) = x^2+1 at x=-1, f(-1)=1+1=2
how do you solve this
Answers
Answer:
yo what concept is this
Step-by-step explanation:
A shopkeeper bought Rice cooker for Rs. 5000 and sold it to a customer for Rs. 5,085 with 13% VAT.
Find his profit or loss percent.
Answers
Answer:
number to get a better price
Answer:
if I'm not wrong,then this is the equation
Step-by-step explanation:
CP=5000
SP=5085
VAT=13℅
now,
VAT amount=VAT℅ OF SP
=13℅ OF 5085
=13/100*5085
=rs.661.05
again,
profit℅= SP-CP/CP*100℅
=85/500*100
=17℅ answer
Suppose Cab Company A charges a flat fee of $4.50 plus an additional $0.25/mile. Cab Company B charges a flat fee of $1 plus an additional $0.75/mile.
First, define variables. Then write two equations: one equation will represent the cost of choosing Cab Company A, and the other equation will represent the cost of choosing Cab Company B.
Answers
Could you go to my profile and go to the social studies questions, should be for 7 points, please help with all questions! Giving brainliest!
Is the collection of nice Nepali songs a set ? Why ?
Answers
Answer:
kun vannu vayeko hoo bujena ni saathi yo question complete xa ta.
Answer:
Is the collection of nice Nepali songs a set ? Why ?
=⟩ yes the collection of nice Nepali songs a set Because it can be collected on bracket .
Hence find the value of x that satisfies the two equations y =
5x/2-7 and y=4x/3
simultaneously.
Answers
Answer:
x=6
Step-by-step explanation:
since y=5x/2-7, and y=4x/3
so 5x/2-7=4x/3
5x/2-4x/3= 7
15x-8x/6=7
7x/6=7
x= 7*6/7= 6
Right now Jack’s age is greater than twice Fred’s age by 4. After 8 years, the sum of their ages is 59. Find Fred’s age.
Answers
Fred's age is 13 years
Let
Fred's age = x
Jack's age = 2x + 4
After 8 years:
Fred's age = x + 8Jack's age = 2x + 4 + 8= 2x + 12
Sum of their ages = 59Sum of their ages = Fred's age + Jack's age
59 = (x + 8) + (2x + 12)
59 = x + 8 + 2x + 12
59 = 3x + 20
59 - 20 = 3x
39 = 3x
x = 39/3
x = 13 years
Therefore, Fred's age = 13 years
https://brainly.com/question/24371832
Find the surface area of each figure. Round your answers to the nearest tenth, if necessary
Answers
Answer:
268 in ^2
Step-by-step explanation:
SA=2lw+2lh+2hw
width = 4 lenth = 6 height = 11
2(6)(4) + 2(6)(11) + 2 (11)(4)
= 2 (24) + 2(66) + 2 (44)
= 48 + 132 + 88
= 268 in ^2
Answered by G a u t h m a t h
three decreased by the product of a number and two
Answers
Find the mean of the following 8, 12, 16, 10, 18, 15, 22, 16, 14, 17
Answers
[tex]mean = \frac{sum \: of \: all \: observations}{number \: of \: observations} \\ = > mean = \frac{8 + 12 + 16 + 10 + 18 + 15 + 22 + 16 + 14 + 17}{10} \\ = > mean = \frac{148}{10} \\ = > mean = 14.8[/tex]
This is the answer.
please find y and round to the nearest 10th
Answers
Answer:
178.3 ft
Step-by-step explanation:
Since you have the angle 27 and the side length of 350 you can set up a proportion that is Tan(27)=y/350. You can solve from this to 350*tan(27)=y and then simplify to 178.3.
Answer:
y =178.3
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp /adj
tan 27 = y/350
350 tan 27 = y
178.3339073=y
Round to the nearest tenth
y =178.3
Davina uses a diagram to demonstrate the Pythagorean Theorem.
3
hypotenuse
How are the squares related to the sides of the triangle?
The area of each square is equal to the square of the length of the side to which it is adjacent.
The area of each square is equal to the length of the side to which it is adjacent.
The sum of the areas of the squares is equal to the square of the perimeter of the triangle.
The perimeter of each square is twice the length of the side of the triangle squared.
Answers
Answer:
the first option : The area of each square is equal to the square of the length of the side to which it is adjacent.
express p/q form of 0.375
Answers
Answer:
15/40
Step-by-step explanation:
[tex]0.375 = \frac{375}{1000} \\ \\ = \frac{15}{40} [/tex]
