The isosceles triangle theorem says "If two sides of a triangle are congruent,
then the angles opposite those sides are congruent."
If you are using this figure to prove the isosceles triangle theorem, which of
the following would be the best strategy?
S
Answers
Answer:
Draw QS so that S is the midpoint of PR, then prove ΔPQS is congruent to ΔRQS using SSS.
Step-by-step explanation:
Explanation,
(For Proper Question And Diagram Please Find In attachment)
Draw QS, so that S is the midpoint of PR .Solution,
Now, We know that PS = SR ( S is Midpoint of PR)QS = QS (Common Side) and PQ=QR (given Isosceles Triangle)then triangles are congruent and thus ∠QPS equals to ∠QRS.Thus, the triangle PQR is then the isosceles Triangle.
Related Questions
What is the coefficient in the expression shown?
Answers
Answer:
In mathematics, a coefficient is a multiplicative factor in some term of a polynomial, a series, or any expression; it is usually a number, but may be any expression.
Step-by-step explanation:
Rockey has lent out 8000 for 5 years
at 15% per nm & borrowed ruppies 6000
for 3 years at 12% per nm, how much
did he gain or loose.
Answers
[tex]SI=\frac{P*R*T}{100}[/tex]
[tex]SI=\frac{8000*15*5}{100}[/tex]
[tex]=Rs. 6,000[/tex]
Amount = [tex]8,000+6,000=Rs. 14,000[/tex]
Interest = [tex]Rs. 6,000[/tex] Amount = [tex]Rs. 14,000[/tex]
[tex]SI=\frac{P*R*T}{100}[/tex]
[tex]SI=\frac{6000*12*3}{100}[/tex]
[tex]= Rs.2160[/tex]
Amount = [tex]6,000+2,160=Rs.8,160[/tex]
Interest = [tex]Rs. 21,600[/tex] Amount = [tex]Rs.8160[/tex]
Gain: 6,000 - 2,160
Gain = Rs. 3,840
hope this helps......
What is the length of LM?
Answers
Answer:
5
Step-by-step explanation:
there, it has to be a 5, L and M's distance is 5 units away
if this answer is wrong, i swear that i will give myself a warning and actually take it seriously
Answer:
5
Step-by-step explanation:
Point M is at 49 and Point L is at 44.
To get to one point from another, you would need to go 5 numbers to the right of point L or left of point M.
Hope this helps
You receive $1,000 to put in the bank. You place it in an account that pays 6% annual interest compounded continuously. How much will you have in 12 years? Round the answer to the nearest dollar. SHOW WORK PLZ
Answers
Answer:
2054.43$ = 2054$
Step-by-step explanation:
Here, by analyzing the question we get;
Principal= 1000$
Time (In years) = 12
Rate (Annual) = 6%
Now;
First convert R into decimal= 0.06 rate per year
Now solving the equation for A:
A=Pe^(rt)
=1000(2.71828)^(0.06*12)
=$2054.43
If you have any questions, just ask me in the comments
For #4 - 5, the two polygons are similar. Find the
values of x and y.
60°
18
12
22
x + 4
4.
Answers
Answer:
x = 10.7
y = 120°
Step-by-step explanation:
If two polygons are similar, their corresponding angles would be the same, while the ratio of their corresponding sides will be equal.
Therefore, the angles of the two polygons given are equal, while the ratio of their corresponding side length is equal.
Thus:
✔️Find x:
22/(x + 4) = 18/12
22/(x + 4) = 3/2
Cross multiply
(x + 4)3 = 2*22
3x + 12 = 44
Subtract 12 from each side
3x = 44 - 12
3x = 32
x = 32/3
x = 10.7
✔️Find y:
y + 60° = 180° (adjacent angles are supplementary)
y = 180 - 60
y = 120°
THE LENGTH OF THE CAR IS 435 CM. THE LENGTH F THE GARAGE IS 6 M. HOW MANY CENTIMETERS LONGER IS THE GARAGE THAN THE CAR?
Answers
Answer:
235cm longer
Step-by-step explanation:
convert 6m into centimeters which gets you 600cm so you do this:
600 - 435= 235cm
therefore the garage is 235cm longer than the car.
Answer:
600-435 = 165 cm the garage 165 cm is longer than the car
Can You help me with this problem I’m stuck
Answers
Answer:
Last option,
i.e - 30 miles/1houris correct (☑️)
Quadrilateral MNQP has vertices as shown. If the figure is translated 4 units left and 3 units down, what are the coordinates of N'? *
Answers
Explanation:
Point N is at (1,3)
We apply the rule [tex](x,y) \to (x-4,y-3)[/tex] which will translate the point 4 units to the left and 3 units down.
The old x coordinate x = 1 becomes x-4 = 1-4 = -3
The old y coordinate y = 3 becomes y-3 = 3-3 = 0
The point N(1,3) moves to N ' (-3, 0)
Need help!!! Please
Answers
Answer:
I think it is the first one
Step-by-step explanation:
which information could he have used to determine this?
Answers
Answer:
c
Step-by-step explanation:
If it equals the double of one angle that means it is bisected in to 2 equal parts
Explain how to determine the zeros of the function below, and also
identify the zeros of this function
Answers
Answer:
A function is shown. f(x) = x2 + 2x - 35 One of the zeros of the function is What is the other zero of the functions
3x+2y=4
2x-3y=7
a) 2, - 1
b)2 , 1
c)1 , 2
d)- 2 , - 1
Answers
Answer:
a) 2, -1
Step-by-step explanation:
3x + 2y = 4
2y = 4 - 3x
y = 2 - 3x/2
2x - 3y = 7
2x - 3×(2 - 3x/2) = 7
2x - 6 + 9x/2 = 7
4x/2 + 9x/2 = 13
13x/2 = 13
13x = 26
x = 2
3×2 + 2y = 4
6 + 2y = 4
3 + y = 2
y = -1
In a box there are n red marbles and three times as many black marbles. There are 36
marbles in the box. How many red marbles are in the box?
Answers
Answer:
it is 12
Step-by-step explanation:
for n= 36 divided by 3.
I need help with 27 and 29 plz
Answers
29) B
Remember when you are after a decimal it’s . Tenths, hundredths, thousandths
Answer:
27.C
29.B
Step-by-step explanation:
please help me answer this question also it’s asking to show work!!
Answers
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{\dfrac{9\times10^5}{10\times10^3}}[/tex]
[tex]\mathsf{10^5}[/tex]
[tex]\mathsf{= 10\times10\times10\times10\times10}[/tex]
[tex]\mathsf{= 100\times100\times10}[/tex]
[tex]\mathsf = 10,000\times10}[/tex]
[tex]\mathsf{=\bf 100,000}[/tex]
[tex]\mathsf{10^3}[/tex]
[tex]\mathsf{= 10\times10\times10}[/tex]
[tex]\mathsf{= 100\times10}[/tex]
[tex]\mathsf{= \bf 1,000}[/tex]
[tex]\mathsf{\dfrac{9\times100,000}{10\times 1,000}}[/tex]
[tex]\mathsf{9\times100,000 = \bf 900,000}[/tex]
[tex]\mathsf{10 \times 1,000 = \bf 10,000}[/tex]
[tex]\mathsf{\dfrac{900,000}{10,000}}[/tex]
[tex]\mathsf{= \bf 90}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf 90}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
If θ is an angle in standard position and its terminal side passes through the point (-4,-9), find the exact value of \tan\thetatanθ in simplest radical form.
Answers
Given:
θ is an angle in standard position and its terminal side passes through the point (-4,-9).
To find:
The exact value of tanθ in simplest radical form.
Solution:
If θ is an angle in standard position and its terminal side passes through the point (x,y), then the exact value of tanθ is:
[tex]\tan \theta=\dfrac{y}{x}[/tex]
It is given that, θ is an angle in standard position and its terminal side passes through the point (-4,-9). So, t he exact value of tanθ is:
[tex]\tan \theta=\dfrac{-9}{-4}[/tex]
[tex]\tan \theta=\dfrac{9}{4}[/tex]
Therefore, the required value is [tex]\tan \theta=\dfrac{9}{4}[/tex].
please help :)))))))m)))e
Answers
Answer:
90
Step-by-step explanation:
The exterior angle theorem states that to find the exterior angle, you have to add the interior angles that you know. 60+30 = 90.
Which of the following is the solution to the equation 25^(z − 4) = 125? (6 points)
Answers
Answer:
Sent you this for a reference so please do the needful to me ASAP as I am now working on the same and I will be sending the same
Answer:
z = [tex]\frac{11}{2}[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex] , then
[tex]25^{z-4}[/tex] = 125 [ 25 = 5² and 125 = 5³ ]
[tex](5^2)^{z-4}[/tex] = 5³
[tex]5^{2z-8}[/tex] = 5³
Since the bases on both sides are equal, both 5, then equate the exponents
2z - 8 = 3 ( add 8 to both sides )
2z = 11 ( divide both sides by 2 )
z = [tex]\frac{11}{2}[/tex] ( = 5.5 )
y = x2 + 5x - 14 in factored form need answe asap please
Answers
Answer:
y = ( x-2)(x+7)
Step-by-step explanation:
y = x^2 + 5x - 14
What 2 numbers multiply to -14 and add to 5
-2 * 7 = -14
-2+7 = 5
y = ( x-2)(x+7)
if a×b=a^b what is the value of 2 ×3
Answers
Answer:
8
Hope this answer is right!!
Explanation:
Given, a×b=a^b=2 ×3
=2^3
=8
So, the value of 2 ×3 =8.
(6.6 × 10⁰) + (7.8 × 10²)
Answers
Answer:
786.6
Step-by-step explanation:
Anything to the ^0 is 1 so its 1 x 6.6 + 100 x 7.8
6.6 + 780
786.6
Answer:
786.6
Step-by-step explanation:
Problem:
(6.6 × 10⁰) + (7.8 × 10²)
Step 1 - Parenthesis:
(6.6 × 10⁰) + (7.8 × 10²)
Step 2 - Exponents(Left to Right):
(6.6 × 10^0) + (7.8 × 10^2) = (6.6 × 1) + (7.8 × 100)
Step 3 - Multiply(Left to Right):
(6.6 × 1) + (7.8 × 100) = 6.6 + 780
Step 4 - Add(Left to Right)
6.6 + 780 = 786.6
Step 5 - Answer:
786.6
Remember:Parenthesis
Exponents(Left to Right)
Multiplication(Left to Right)
Division(Left to Right)
Addition(Left to Right)
Subtraction(Left to Right)
How many whole numbers less than 2,700,000 end with the digits 2014?
Answers
Answer:
1,002,014
Step-by-step explanation:
(x – 3) (x + 6) cuanto es
Answers
Answer:
Step-by-step explanation:
(x - 3)(x + 6)
=x(x + 6) -3(x + 6)
=x*x + x*6 - 3*x - 3*6
=x^2 + 6x - 3x - 18
=x^2 + 3x - 18
[tex]\longrightarrow{\green{ \: {x}^{2} + 3x - 18 }}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex](x - 3)(x + 6)[/tex]
➼ [tex] \: x(x + 6) - 3(x + 6)[/tex]
➼ [tex] \: {x}^{2} + 6x - 3x - 18[/tex]
➼ [tex] \: {x}^{2} +3x - 18[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
Find an equation for the perpendicular bisector of the line segment whose endpoints are (1,-3)(1,−3) and (7,-7)(7,−7).
Answers
Answer:
[tex]y=\frac{3}{2} x-11[[/tex]
Step-by-step explanation:
[tex]y-\frac{-7-3}{2} =\frac{-1}{\frac{-7-(-3)}{7-1} } (x-\frac{7+1}{2} )\\y+5=\frac{6}{4} (x-4)\\y=\frac{3}{2} x-11[[/tex]
Alex and Jill share £100 in the ratio of 1 : 7 work out how much money Alex gets?
Answers
Answer:
$87.50
Step-by-step explanation:
If they split the money 1:7 this means they divided it into 8 portions. (Because 7+1=8). So do $100/8=12.5.
(You never specified who got 1 portion and who got 7, so I will assume Alex got the 7)
Let's say Jill got the 1 portion, she gets $12.50.
Let's say Alex got the 7 portion, he got $12.50 x 7 = $87.50
The amount Alex got is £12.5.
What is a ratio?The ratio shows how many times one value is contained in another value.
Example:
There are 3 apples and 2 oranges in a basket.
The ratio of apples to oranges is 3:2 or 3/2.
We have,
Alex and Jill share £100 in a ratio of 1:7.
Total ratio = 8x
So,
Alex = 1x
Amount = 1x/8x x 100 = £12.5
Jill = 7x
Amount = 7x/8x x 100 = £87.5
Thus,
Alex got £12.5.
Learn more about ratios here:
https://brainly.com/question/2462048
#SPJ2
1) En 5 horas 4 operarios fabrican 10 artículos, ¿Cuántos artículos fabricaran 3 operarios en 4 horas?
Answers
Answer:
So, in 4 hours , 3 operators makes 6 articles.
Step-by-step explanation:
In 5 hours 4 operators make 10 articles, how many articles will 3 operators make in 4 hours?
In 1 hour 4 operator makes 10/5 = 2 articles
In 1 hour , 1 operator makes = 2/4 = 0.5 article
So,
In 1 hour , 3 operators makes = 3 x 0.5 = 1.5 articles
In 4 hours, 3 operation makes = 1.5 x 4 = 6 articles
So I'm just making sure...
Complementary angles add up to 90°
Supplementary angles add up to 180°
I've seen many different answers so I am just double checking. Thanks.
Answers
Answer:
This is correct.
Step-by-step explanation:
Answer:
Yes...You are right... hope it helps
The formula for the nth term of a sequence is 3n +7
What is the 6th term in the sequence?
Answers
Answer:
6th term = 25
Step-by-step explanation:
3n + 7
3 x (6) + 7
18 + 7 = 25
If this helps you, please mark brainliest!
Have a nice day!
Answer:
[tex]25[/tex]
Step-by-step explanation:
[tex] Tn_{n} = 3n + 7 \\Tn _{6} = 3 n + 7 \\ = 3 \times 6 + 7 \\ = 18 + 7 \\ = 25[/tex]
Hope this helps you
Have a nice day!
What is the formula for solving this
Answers
Answer:
<ABC = 68degrees
Step-by-step explanation:
From the diagram, the measure of the given angles are supplementary;
9x+5 + 16x = 180
25x = 180 - 5
25x = 175
x = 175/25
x = 7
<ABC = 9x +5
<ABC = 9(7)+5
<ABC = 63 + 5
<ABC = 68degrees
The area of a rectangle is expressed as (15x + 20) square feet. If the width of the rectangle is 5 feet, what is an expression to represent the length of the rectangle.
(No picture)
Answers
Answer: Length = (15x + 20) / 5
Step-by-step explanation:
The area of a rectangle is calculated as length × width. Since the area of the rectangle is expressed as (15x + 20) square feet while the width of the rectangle is 5 feet, then the expression to represent the length of the rectangle will be:
Area = length × width
(15x + 20) = length × 5
Length = (15x + 20) / 5
Therefore, the expression is Length = (15x + 20) / 5.
Solving further, the length will be:
= (15x + 20) / 5
= 3x + 4