In a triangle, the exterior angle is twice of each of the interior opposite angles. The exterior angle is 120°.Find the measure of each interior opposite angle of the triangle.
Pls no Spam. 35 points is the prize
Answer:
Let X be other interior opposite angle of a △XYZ.
Let Y be the third angle.
Exterior angle is equal to sum of interior opposite angles.
120
o
=30
o
+∠X
⇒∠X=90
o
Now, Sum of interior angles of a triangle is 180
o
⇒90
o
+30
o
+∠Y=180
o
⇒∠Y=180
o
−120
o
=60
o
Step-by-step explanation:
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Today only, a table is being sold at a 33% discount. The sale price is 201.
What was the price yesterday?
Equations
So I’m having trouble with this pls explain step by step
Here’s the question
W+2=12
Pls explain
Answer:
w = 10
Step-by-step explanation:
To find the value of w, you need to isolate w on one side.
You can start by subtracting 2 from both sides. What you do to one side of the equation, you have to do to both.
12 - 2 = 10
So now w is isolated and is equal to 10.
w = 10
You can check your work by replacing w with 10 in the equation.
10 + 2 = 12
Lines r and s are perpendicular and intersect at point k ray kt is drawn forming angles 1 and 2 if angle 1 is 4x-12 and angle 2 equals 3x -8 what is angle 1 to nearest 10th
The measure of angle 1 to the nearest tenth is 50.9 degrees
Since the line r and s are perpendicular, hence the sum of the angle m<RKT and m<SKT is 90 degrees.
Given the following parameters
m<RKT = m<1 = 4x - 12
m<SKT = m<2 = 3x - 8
Taking the sum of the angle and equating it to 90degrees, hence;
m<RKT +m<SKT = 90
4x - 12 + 3x - 8 = 90
7x = 90 + 20
7x = 110
x = 110/7
x = 15.71
Get the measure of angle 1
m<1 = 4x - 12
m<1 = 4(15.71) - 12
m<1 = 50.9 degrees
Hence the measure of angle 1 to the nearest tenth is 50.9 degrees
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Solve for the missing side length
Answer:
x = 10Step-by-step explanation:
Similar right triangles (angle marked congruent).
Same proportion of corresponding sides:
x/15 = 14/21x/15 = 2/3x = 15*2/3x = 10ROUND OF THE UNDERLINED DIGIT IN EACH DICEMAL NUMBER
1. 25.5678
2.0.8974
3.12.9542
Answer:
I think 25.5678
it's the correct answer
Step-by-step explanation:
gamsahamnida
I need some help please?!?
Answer:
A
Step-by-step explanation:
x = √a/√b
x² = √a²/√b²
x² = a/b
Answer:
Hi there
it should be A.
good
plz help!!!!!!!!!!!!!!!!
Answer:
C = 50°
Step-by-step explanation:
In the given figure, it tells us which angles are the same. ( You can look at the red marks. )
So, 68 + 62 = 130.
As we all know, the sum of all angles in any triangle is 180.
So, 180 - 130 = 50.
That is Angle C.
I hope it helps.
Justin traveled 70 miles from Boston to Hyannis in 1 hr and 45 minutes. He then traveled 10 more miles from Hyannis to Dennisport in 30 minutes.
What was Justin’s average speed on his was from Hyannis to Dennisport?
What was Justin’s average speed on his trip from Boston to Dennisport?
Justin’s average speed on his was from Hyannis to Dennisport will be [tex]20[/tex] miles per hour and average speed on his trip from Boston to Dennisport will be [tex]35\frac{5}{9}[/tex] miles per hour.
What is average speed ?Average speed is s the total distance traveled by the object in a particular time interval.
Average speed [tex]=\frac{Total\ Distance}{Total\ Time}[/tex]
We have,
Distance from Boston to Hyannis [tex]=70[/tex] miles
Time from Boston to Hyannis [tex]=1\ hr\ and \ 45\ minutes = 105\ minutes[/tex]
Distance from Hyannis to Dennisport [tex]=10[/tex] miles
Time from Hyannis to Dennisport [tex]=30[/tex] minutes
So,
Total distance travelled [tex]=70+10=80[/tex] miles
Total time taken [tex]=105+30=135\ minutes[/tex]
[tex]= \frac{135}{60} \ hours= \frac{9}{4}\ hours[/tex]
So,
Average speed on his was from Hyannis to Dennisport [tex]= \frac{10}{\frac{30}{60} }[/tex]
[tex]=\frac{60}{3}=20[/tex] miles per hour
And,
Average speed on his trip from Boston to Dennisport [tex]=\frac{80}{\frac{9}{4} }[/tex]
[tex]=35\frac{5}{9}[/tex] miles per hour
Hence, we can say that Justin’s average speed on his was from Hyannis to Dennisport will be [tex]2[/tex]miles per hour and average speed on his trip from Boston to Dennisport will be [tex]35\frac{5}{9}[/tex] miles per hour.
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Nine more than the product of a number and 3 is equal to 6
Answer:
x = - 3
Step-by-step explanation:
9 more than the product of a number and three is equal 6.
9 + (x · 3) = 6
9 + 3x = 6
3x = -9 + 6
3x = - 3
x = - 3
Answer:
3x + 9 =6
Step-by-step explanation:
9.-¿Cuál es el resultado correcto de esta
expresión aritmética: 14 - 8 + 3( -9-6)+ 27 / 9
+ raiz cuadrada 16 - 62
Answer:
-94
Step-by-step explanation:
14 - 8 + 3(-9 - 6) + 27/9 + √16 - 62 =
= 6 + 3(-15) + 3 + 4 - 62
= 6 - 45 + 7 - 62
= -39 + 7 - 62
= -32 - 62
= -94
PlEase help you can edit the photo
Answer:
The ribbon costs 1.25 per meter
Step-by-step explanation:
5/4=1.25
7) What symbol should be used to show the relationship of 101.768 101.867 between the numbers?
The symbol that can be used to show the relationship of 101.768 -----
101.867 between the numbers is < (less than)
The question is what symbol should be used to show the relationship
between 101.768 and 101.867.
Both numbers are decimal numbers.
101.768 is not equal to 101.867.
Instead, 101.768 is less than 101.867.
Therefore, the symbol that can be used to show the relationship of 101.768 ---
-- 101.867 between the numbers are as follows:
101.768 < 101.867
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Of the following points name all that lie on the same vertical line (3,-7)(-5,3)(3,-3)(3,-9)
Answer:
(-3,9)
Step-by-step explanation:
HOPE THIS HELPSSSSSS!!!!
The method of substitution is likely the best method for which system?
−8x−2y=18x−2y=5
2x+y=103x+2y=5
5x−2y=32x+2y=1
−3x+2y=93x−5y=4
Answer:
simultaneous equation
Write an equation for the hangers below and solve (will give brainless if correct!)
Answer:
1) 5x+2=17
2) 5(2+x)=17
Step-by-step explanation:
1) subtract 2 from both of the sides, then you get 5x=15. Divide 5 on both sides, then you get X=3
2) Use distributive property and multiply 5 and 2 and you get 10, then do the same thing with the x. You should get 10+5x=17. Subtract 10 from both sides. Then you are left with 5x=17, divide 5 on both sides you should get x=7/5
Hope this helps!
How many cups are in 1 liter
Each liter is equivalent to exactly: 4.22675 cups.
I hope this helps!
right answer only plz and thank u
Answer:
[tex](x-1)^2(x+3)[/tex]
Step-by-step explanation:
For factorization the given expression you can use the Ruffini's rule.
First find the divisors of the independent term (these are the possible rational roots), in the given polynomial the independent term is [tex]3[/tex].
[tex]3 = \{\pm1,\pm3\}[/tex]
Now replace each number in the polynomial
[tex]P(1) = 1^3 + 1^2 - 5(1) + 3 = 0[/tex]
If the result is equal to 0 that's meaning that is a possible root of the polynomial. Then for know if is a root you have to divide the polynomial by [tex](x - \text{possible root})[/tex].
[tex](x^3 + x^2 -5x+3 )/ (x-1)[/tex]
In the first row are the coefficients of the given polynomial.
In the second row are the product between the coefficients and the independent term of the [tex]x-1[/tex].
The third row are the coefficients of the quotient polynomial (except the last that is the remainder).
[tex]\qquad 1\qquad 1\qquad-5\qquad \quad3\\1\qquad\qquad1\qquad \quad 2\qquad-3\\-------------\\ 0 \ \ \quad1 \qquad 2 \qquad -3 \qquad \quad 0[/tex]
Because the last term is the remainder and it's 0 you can factorizate [tex](x-1)[/tex] and the quotient polynomial is equal to
[tex]x^2 + 2x -3[/tex]
So our current expression is [tex](x-1)(x^2 + 2x -3)[/tex], however you can factorizate the quotient polynomial in:
[tex]x^2 +sx +rx +rs = x^2 + 3x -x + 3(-1) = (x + 3)(x -1)[/tex]
So the last expression is:
[tex](x-1)(x+3)(x-1) = (x-1)^2(x+3)[/tex]
All of the license plates in a particular state feature three letters followed by three digits (e.g. ABC 123). How many different license plate numbers are available to the state's Department of Motor Vehicles?
Step-by-step explanation:
for each letter position there are 26 choices.
and each of these 26 choices can be combined with the next 26 choices.
so, they alone are 26×26×26 = 26³ = 17,576
then we have the three number positions.
each has 10 options.
so, they are 10×10×10 = 10³ = 1000
and both combined are
26³×10³ = 17,576,000 different number plates
The number of different license plate numbers are available to the state's Department of Motor Vehicles is 17,575,000.
What is fundamental counting principle?The fundamental counting principle or basic principle of counting is a method or a rule used to calculate the total number of outcomes when two or more events are occurring together.
This principle states that the total number of outcomes of two or more independent events is the product of the number of outcomes of each individual event.
For each letter position there are 26 choices, and each of these 26 choices can be combined with the next 26 choices.
so, they alone are 26×26×26 = 26³ = 17,576
then we have the three number positions, each has 10 options.
so, they are 10×10×10 = 10³ = 1000
and both combined are;
26³×10³ = 17,576,000 different number plates.
Hence the number of different license plate numbers are available to the state's Department of Motor Vehicles is 17,575,000.
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The sum of one fifth of a number and 3 7/10 is 7. Find the number
Answer:
Step-by-step explanation:
3
In a simple random sample of 120 women and 150 men from
a population of 150,000, 25% of the women and 37% of the men
are smokers. Suppose you are interested in comparing the
proportion of smokers by sex, compute the estimated standard
error.
From the information given, and applying the formula, it is found that the standard error of the difference in proportion of smokers by sex is 0.0558.
The proportion and the standard error for each sample are given by:
[tex]p_W = 0.25, s_W = \sqrt{\frac{0.25(0.75)}{120}} = 0.0395[/tex]
[tex]p_M = 0.37, s_M = \sqrt{\frac{0.37(0.63)}{150}} = 0.0394[/tex]
The standard error of the difference in proportions is the square root of the sum of the standard error for each sample squared, hence:
[tex]s = \sqrt{s_W^2 + s_M^2} = \sqrt{0.0395^2 + 0.0394^2} = 0.0558[/tex]
Hence, the standard error is of 0.0558.
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A rectangle has a height of 362 and a width of 464 + 26 -6 what is the area?
Answer:
175,208 square units
Step-by-step explanation:
Lets calculate the width first:
464 + 26 - 6 = 484
The area is equal to the length times the width, so
362 x 484 = the area
= 175,208 square units
(28 ⋅ 5−5 ⋅ 190)−2 ⋅ 5 to the power of negative 2 over 2 to the power of 3, whole to the power of 4 ⋅ 228. Help.
Answer 5-5.190 =-945 -2=-947 2-2=0+3 =3+7=-935
Step-by-step explanation:
What is the answer I’m so stuck on this one
Answer:
The answer is A
Step-by-step explanation:
Find the GFC of 72 and 64
Answer:
8
Step-by-step explanation:
GCF of 64 and 72 is 8.
I hope it helps you..
ratio 2.5 meters to 60 centimeters can be written jn the form 1:n
Answer:
1:24/100
Step-by-step explanation:
you divide both side
Which graph shows all natural numbers less than 3?
Answer:
graph A shows all natural numbers less than 3
Step-by-step explanation:
Answer:
The Answer Is B
Step-by-step explanation:
Need help with this
Answer:
It CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
Step-by-step explanation:
nope
Geometry ….. solve for x and y
Answer:
y = 2.4
x = 30°
Step-by-step explanation:
5y = 12
[tex]\frac{5y}{5}[/tex] = [tex]\frac{12}{5}[/tex]
Cancel both the 5 in numerator and denominator
y = [tex]\frac{12}{5}[/tex]
Divide 12 by 5
y = 2.4
All internal angles of a triangle must add up to 180°. So the angles of the bottom triangle is 60° each. As you can see, there's a right triangle on the right side and a right angle is 90°. So you just have to subtract 90° and 60° to get the angle of the missing angle which is 30°
x = 30°
i don't know how to explain it but i'm sure it's correct. Hope it helps
what is the definition of fixed percent?
Answer:
the quotient, fixed as a percentage
Step-by-step explanation:
Answer:
Fixed Percentage means, the quotient, expressed as a percentage, obtained by dividing the unexpended and not withdrawn amount of the Allocated Amount, at the time a Net Profits Interest is assigned by the total of (i) the unexpended and not withdrawn amount of the Allocated Amount and (ii) the unexpended and not.