PLS HELP 50 POINTS IM ON A TIMER
What is the sum of the exterior angles of the equilateral triangle ∠M + ∠R + ∠X? Explain your reasoning
N = 60
M = 120
Answers
Answer:
360
Step-by-step explanation:
The inside corners of an equilater trinagle measure 60 degrees
Besides: ∠M + ∠N = 180 because supplementary angles
∠M + 60 = 180 --> ∠M = 120
Same reasoning for the pair ∠Q , ∠R and for the pair ∠X , ∠top insideangle
Hence ∠R = 120 and ∠X = 120
Therefore, the sum of the exterior angles is
∠M + ∠R + ∠X = 360
Related Questions
Select all of the sets of measurements that can form a triangle.
35°, 15, 130°
90°, 3 inches, 7 inches
70°, 70°, 70°
17 inches, 8 inches, 2 inches
5 inches, 6 inches, 7 inches
Answers
The sets of measurements that can form a triangle are:
90°, 3 inches, 7 inches
5 inches, 6 inches, 7 inches.
To determine which sets of measurements can form a triangle, we need to apply the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Let's analyze each set of measurements:
35°, 15, 130°:
This set cannot form a triangle because the angles are not appropriate. The sum of the angles in a triangle must be 180°, but the given angles add up to 180° - (35° + 130°) = 15°, which is not possible.
90°, 3 inches, 7 inches:
This set can form a triangle. The sum of the two shorter sides (3 inches + 7 inches) is greater than the longest side (10 inches), satisfying the triangle inequality theorem.
70°, 70°, 70°:
This set cannot form a triangle because the angles are not appropriate. The sum of the angles in a triangle must be 180°, but the given angles add up to 210°, which is greater than 180°.
17 inches, 8 inches, 2 inches:
This set cannot form a triangle. The sum of the two shorter sides (2 inches + 8 inches) is less than the longest side (17 inches), violating the triangle inequality theorem.
5 inches, 6 inches, 7 inches:
This set can form a triangle. The sum of the two shorter sides (5 inches + 6 inches) is greater than the longest side (7 inches), satisfying the triangle inequality theorem.
Therefore, the sets of measurements that can form a triangle are:
90°, 3 inches, 7 inches
5 inches, 6 inches, 7 inches.
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Angle 1 can be represented by the expression 6x + 30. Angle 2 can be
represented by the expression 16x - 10. If the two angles are congruent,
write an equation to find the value of x
Answers
6x+30 = 16x-10
Subtract 6x from the left and right
30 = 10x-10
Add 10 to both sides
40 = 10x
Now divide by 10
4 = x
Zoe Swam 25 laps in the pool but this was only 50% of her total swim. How many more laps doe she need to swim?
Answers
Answer:
25
Step-by-step explanation:
25
Answer: how many more means subtract so subtract and it will be 25 LLaps
The graph of an exponential function f passes through (0,1) and (2,4) as shown.
what is the value of f(6)?
Answers
The exponential function is given by f(x) = 2ˣ and the value of f(6) is 64
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
An exponential funtion is in the form y = abˣ
At point (0, 1):
1 = ab⁰
a = 1
At point (2, 4):
4 = 1(b)²
b = 2
Hence:
f(x) = 2ˣ
Hence f(6):
f(6) = 2⁶ = 64
The exponential function is given by f(x) = 2ˣ and the value of f(6) is 64
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2. The metric system is based on units of
O A. 50.
O B. 10.
O C. 5.
OD. 20.
Answers
The spinner is equally likely to land on any of the six sections. a spinner contains 6 equal sections: 1, 2, 3, 4, 5, 6. sections 1, 3, and 5 are shaded. the spinner is pointing at number 6. what is the probability that the spinner will land on a number greater than 4 or on a shaded section? two-ninths one-half two-thirds five-sixths
Answers
The probability that the spinner will land on a number greater than 4 or on a shaded section is five-sixt
What is probability?Probability is the likelihood or chance that an event will occur. Mathematically;
Probability = Expected/Total
If the spinner is spinned, the total outcome is 1/6
Pr(greater than 4) = 2/6 = 1/3
Pr(shaded section) = 3/6 = 1/2
Pr(number greater than 4 or on a shaded section) = 1/3 + 1/2
Pr(number greater than 4 or on a shaded section) = 5/6
Hence the probability that the spinner will land on a number greater than 4 or on a shaded section is five-sixths
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Answer:
D. 5/6
Step-by-step explanation:
i can feel the course of the correct answer pierce through my veins, trust me... its correct.
need help now lol!!!
Answers
Answer:
4 5/6
Step-by-step explanation:
[tex]3 \frac{1}{3} + 1 \frac{1}{2} [/tex]
to find:the simplest form.
solution:[tex] \frac{10}{3} + \frac{3}{2} [/tex]
[tex] = \frac{(10 \times 2) + (3 \times 3)}{3 \times 2} [/tex]
[tex] = \frac{20 + 9}{6} [/tex]
[tex] = \frac{29}{6} [/tex]
[tex] = 4 \frac{5}{6} [/tex]
Julian is working two summer jobs, making $8 per hour washing cars and making
$13 per hour tutoring. In a given week, he can work a maximum of 13 total hours and
must earn no less than $130. If a represents the number of hours washing cars and y
represents the number of hours tutoring, write and solve a system of inequalities
graphically and determine one possible solution.
Answers
Answer:
Jacob should work minimum of 14 hours washings cars to meet his requirement.
Step-by-step explanation:
Let the number of hours of washing cars be 'x'.
Let the number of hours of landscaping be 'y'.
Given:
Cost for Per hour for washing cars = $10
Cost for per hour Landscaping = $8
Total number of hours of working
Amount to be earned this weekend
So we can say that;
Also,
Amount to be earned this weekend should be greater than or equal to sum of Cost for Per hour for washing cars multiplied by number of hours of washing cars and Cost for per hour Landscaping multiplied by number of hours of landscaping.
framing in equation form we get;
Now Number of hours he worked for landscaping
So we get;
Subtracting both side by 32 we get;
Dividing both side by 10.
Hence Jacob should work minimum of 14 hours washings cars to meet his requirement.
Step-by-step explanation:
A closet contains 5 cases of laundry detergent. Each case contains 12 bottles. Each bottle contains 3 liters of detergent
Answers
12 bottles contains (12*3) = 36 liter
1 case contains 12 bottle
5 cases contains (12*5) = 60 bottle
1) Which expression is equivalent to
6(x + 7) + 3x?
A) 9x + 7
B 9x + 13
9x + 42
45x
Answers
Answer:
c
Step-by-step explanation:
6x+42+3x
6x+3x +42
9x+ 42
Step-by-step explanation:
Given expression,
[tex]\\ {\longrightarrow \qquad{ \sf{6(x + 7) + 3x}}}\\ \\ [/tex]
Using distributive property we get,
[tex] \\ {\longrightarrow \qquad{ \sf{6x + 42 + 3x}}}\\ \\ [/tex]
Adding like terms (6x and 3x) we get,
[tex]\\ {\longrightarrow \qquad{ \sf{9x + 42 }}}\\ \\ [/tex]
So, From the given options, Option C is equivalent to 6(x + 7) + 3x .
What is the simplified form of the following expression? assume y not-equals 0. rootindex 3 startroot startfraction 12 x squared over 16 y endfraction endroot
Answers
The equivalent expression of the expression [tex]\sqrt[3]{\frac{12x^2}{16y}}[/tex] is [tex](\frac{3x^2}{4y})^\frac 13[/tex]
How to determine the equivalent expression?The expression is given as:
[tex]\sqrt[3]{\frac{12x^2}{16y}}[/tex]
Divide 12 in the expression by 4
[tex]\sqrt[3]{\frac{3x^2}{16y}}[/tex]
Divide 16 in the expression by 4
[tex]\sqrt[3]{\frac{3x^2}{4y}}[/tex]
Apply the power rule of indices
[tex](\frac{3x^2}{4y})^\frac 13[/tex]
Hence, the equivalent expression of [tex]\sqrt[3]{\frac{12x^2}{16y}}[/tex] is [tex](\frac{3x^2}{4y})^\frac 13[/tex]
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Write two different equations with equal solution sets.
Answers
Answer:
x + 8 = 13
3x - 2 = 13
The solution set of both equations is {5}.
Step-by-step explanation:
x + 8 = 13
3x - 2 = 13
prove by manipulating one side
(1-cos^2 60)(1+cos^2 300)= 2sin^2 120- sin^4 60
Answers
By applying fundamental trigonometry and the values for common angles, we have that (1 - cos² 60°) · (1 + cos² 300°) is equivalent to 2 · sin² 120° + sin⁴ 60°.
How to determine an equivalent trigonometric expression by means of formulasIn this question we have to prove the trigonometric expression by means of fundamental trigonometric relationships and known values for certain angles. We proceed to prove that one side of the expression is equivalent to the other side:
(1 - cos² 60°) · (1 + cos² 300°) Givensin² 60° · (2 - sin² 300°) sin² α + cos² α = 12 · sin² 60° - sin² 60° · sin² 300° Distributive property2 · sin² 120° + sin⁴ 60° Sine is an odd function/ResultBy applying fundamental trigonometry and the values for common angles, we have that (1 - cos² 60°) · (1 + cos² 300°) is equivalent to 2 · sin² 120° + sin⁴ 60°.
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what is the value of 1/7x1/7x1/7 so 1/7 to the 3rd power.
Answers
Answer:
1/343 = .00291545
Step-by-step explanation:
= 1/(7*7*7) =
The value of the exponential equation is A = ( 1/343 ) = ( 1/7 )³
What are the laws of exponents?When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.
The different Laws of exponents are:
mᵃ×mᵇ = mᵃ⁺ᵇ
mᵃ / mᵇ = mᵃ⁻ᵇ
( mᵃ )ᵇ = mᵃᵇ
mᵃ / nᵃ = ( m / n )ᵃ
m⁰ = 1
m⁻ᵃ = ( 1 / mᵃ )
Given data ,
Let the exponential equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
A = ( 1/7 ) x ( 1/7 ) x ( 1/7 ) be equation (1)
On simplifying the equation , we get
A = ( 1/7 )³
Now , on further simplification , we get
A = ( 1/343 )
And , the value of A = 0.002915
Hence , the exponential equation is A = ( 1/7)³
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What is the answer
3^12
Answers
Answer:
36
Step-by-step explanation:
Answer:
3^12=3*3*3*3*3*3*3*3*3*3*3*3=9*9*9*9*9*9=81*81*81=6561*81=531,441
Step-by-step explanation:
A triangle has two sides of lengths 5 and 12. What value could the length of
the third side be? Check all that apply.
A. 9
B. 19
C. 5
D. 7
E. 17
F. 11
Answers
Answer:
Answer is A and F.
Step-by-step explanation:
To form a triangle the sum of any 2 sides must be greater than the third side.
The answer is not:
B as 5 + 12 < 19
C. as 5+5 < 12
D, as 7 + 5 = 12
E as 5 + 12 = 17
Answer is A and F.
3) d = 5 cm.
Calculate the circumference of the circle.
(it isn't 15.7cm)
4) d = 6 m.
Calculate the circumference of the circle.
(it isn't 18.84)
Answers
Step-by-step explanation:
Example for my opinion
3) 2r = 5 cm
2 pi r = 5 × 3.14 = 15.7
The group wants to travel from its current location on the map to the South Pole, and then directly back to base camp, passing through their current location. There are 5 people in the group and they expect to travel an average of 10 miles per day. Remember that each person needs 6000 calories per day. Based on your response to item 3, what is the minimum number of calories the group is expected to consume during the entire trip?
the answer to number 3 is 75 miiles
Answers
The minimum number of calories the group is expected to consume during the entire trip from current location to southpole and back to camp is 375 kilo calories.
What is Pythagoras theorem?Pythagoras theorem says that in a right angle triangle the square of hypotenuse side is equal to the sum of square of other two legs of right angle triangle.
There are total 5 miles in one block and current location to the South Pole there are 5 blocks on map. Thus, the total distance from current location to the South Pole is,
[tex]x=5\times5\\x=25\rm\; miles[/tex]
There are total 12 blocks from current location to the camp on map. Thus, the total distance from current location to the camp is,
[tex]y=12\times5\\y=60\rm\; miles[/tex]
The shortest distance from South Pole to camp is,
[tex]z=\sqrt{25^2+60^2}\\z=\sqrt{4225}\\z=65\rm\; miles[/tex]
Total distance group travel from if it wants to travel from its current location on the map to the South Pole, and then directly back to base camp, passing through their current location is,
[tex]n=65+60\\n=125\rm\; miles[/tex]
The group travel an average of 10 miles per day. Thus, number of days to cover distance,
[tex]\dfrac{125}{10}=12.5\rm\; days[/tex]
There are total 5 people in group and they consume each person needs 6000 calories per day. Thus, total calories,
[tex]C=12.5\times6000\times5\\C=375000 \rm\;C\\C=375 \rm\; kC[/tex]
Thus, the minimum number of calories the group is expected to consume during the entire trip from current location to southpole and back to camp is 375 kilo calories.
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Area triangle problem! Please help due tonight.
Side length of triangle is ax+9 and base is 4x+b… a=8 b=17
Answers
Answer:
218.5
Step-by-step explanation:
Hi brielleha
X = 3/2 = 1.5
4 x 1.5 = 6
B = 17
6 + 17 = 23
A = 8
8 x 1.5 = 12
12 + 9 = 21
6 x 1.5 = 9
9 + 10 =19
19, 21 23
A = 23 x 19
437/2 = 218.5
Two corners were removed from a square to create the polygon shown. 10 30 22 30 Determine the area of the polygon. units²
Answers
Answer:
b
Step-by-step explanation:
For each 15mm of coloured fabric Gavyn uses to make his curtains he also uses 2 cm of white fabric. Express the amount of white fabric to coloured fabric as a ratio in its simplest form
Answers
Answer:
Step-by-step explanation:
2cm = 2 * 10 mm
2 cm = 20 mm
for every 15 mm of colored fabric, Gavyn uses 20 cm of white fabric.
The ratio is expressed as white fabric to colored fabric.
Answer: Ratio white to colored = 20 / 15 = 4 / 3
I WILL MARK BRAINLIEST
Answers
Answer: B
Step-by-step explanation:
f(x) = 10x–4 and g(x) = 1/2 . What is the value of f(g(6))?
Answers
To solve f(g(6)):
⇒ we solve for g(6) first
⇒ then plug the value of g(6) into the 'x' position of f(x)
Let's Solve:
Solve for g(6)[tex]g(6) = \frac{1}{2}[/tex]
2. Plug g(6)'s value into f(x)
[tex]f(g(6))=f(\frac{1}{2} )=10(\frac{1}{2} )-4=5-4=1[/tex]
Thus f(g(6))'s value is 1
Answer: 1
Hope that helps!
please im so confused and lazy
Answers
Answer:x=9
Step-by-step explanation:
6x+25=79
-25 -25
6x=54
/6 /6
x=9
x=9
6x +25 =79
- 25
6x. = 54
÷6
x = 9
Hope this helps!
he quadratic function h(t)=-16.1t^2 + 150 models a balls height, in feet, over time, in seconds, after it is dropped from a 15 story building. From what height, in feet, was the ball dropped? AND After how many seconds, rounded to the nearest hundredth, did the ball hit the ground?
Answers
Answer:
The time it takes the ball to hit the ground is 3.05secs
step - by - step explanation:
In order to find height from where ball is dropped, you have to find height or h(t) when time or t is zero.So plug in t=0 into your quadratic equation:h(0) = -16.1(0^2) + 150h(0) = 0 +150h(0) = 150 ft is the height from where ball is dropped. When ball hits the ground, the height is zero. So plug in h(t) = 0 and solve for t.0 = -16.1t^2 + 15016.1 t^2 = 150t^2 = 150/16.1t = sqrt(150/16.1)t = ± 3.05Since time cannot be negative, your answer is positive solution i.e. t = 3.05
What strategies do you use when multiplying decimals? Share your thinking using 2-3 sentences. This is an open-ended question so you can put anything you want but make sure it is correct.
Answers
Algebra 20 points please help. (Polynomials)
Answers
Answer:
3. (2x-5)(6x+1) 6. (7x-2)(3x+1)
Step-by-step explanation:
3. 12x²-28x-5
12x²+2x-30x-5
Find common factor:
2x(6x+1)-5(6x+1)
Rewrite in factored form:
(2x-5)(6x+1)
6. 21x²+x-2
21x²+7x-6x-2
Find common factor:
7x(3x+1)-2(3x+1)
Rewrite in factored form:
(7x-2)(3x+1)
PLS HEPPP WHAT IS THE ANSWER????
Answers
Answer:
Again let's plug in the values.
we get
[tex]8 \frac{1}{8} [/tex]
Jordan's older brother rode his bike 78 miles in the past 6 days. He rode an equal number of miles each day. Today he rode his bike 2 miles further than he rode on each of the other days.
How many miles did Jordan's brother ride his bike today? Someone please help i need this asap <3 tysm
Answers
Answer:
He rode 15 on his bike today.
Step-by-step explanation:
78 / 6 = 13 and 13 + 2 = 15
Answer:
Step-by-step explanation:
A student is trying to solve the system of two equations given below: equation p: y z = 6 equation q: 5y 9z = 1 which of these is a possible step used in eliminating the y-term? (y z = 6) ⋅ 9 (y z = 6) ⋅ −5 (5y 9z = 1) ⋅ 9 (5y 9z = 1) ⋅ 5
Answers
System of equation consists of two or more equations with unknow variables. A possible step used in eliminating the y-term is (y + z 6) *5
System of equationsSystem of equation consists of two or more equatons with unknow variables.
Given the system of equations
y + z = 6
5y + 9z =1
In order to eliminate the variable "y", we will multiply equation 1 by 5 and subtract from equation 2;
5y + 5z = 30
5y + 9z = 1
Subtract
5z - 9z = 30 - 1
-4z =29
This leaves only the variable "z" eliminating variable. "y"
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