An angle measures 50° more than the measure of its supplementary angle. However, there are no angles that satisfy this condition.
Explanation:An angle measures 50° more than the measure of its supplementary angle.
To solve for the measure of each angle, we can set up an equation:
Let x be the measure of the angle, and let y be its supplementary angle.
Since the sum of the measures of two supplementary angles is 180°, we can write the equation:
x = y + 50°
Substituting y + 50° for x in the equation, we get:
y + 50° = y
Subtracting y from both sides, we get:
50° = 0
Since there is no solution to this equation, it means that there are no angles that satisfy the given condition.
The smaller angle measures 65° while the larger angle measures 115°.
Let's denote the measure of the smaller angle as x degrees. Since the angles are supplementary, their sum must be 180 degrees. Thus, the measure of the larger angle will be (x + 50) degrees.
Using this information, we can form the following equation:
x + (x + 50) = 180
Simplify the equation:
2x + 50 = 180
Subtract 50 from both sides:
2x = 130
Divide both sides by 2:
x = 65
Therefore, the measures of the angles are:
Smaller angle: 65°Larger angle: 115° (because 65° + 50° = 115°)What is the equation of the line that passes through 1,2 and is parallel to the line whose equation is 2x + y - 1 = 0
Answer:
Step-by-step explanation:
Use the point-slope formula.
y - y_1 = m(x - x_1) you have : x_1 =1 and y_1 =2
m the slope m= -2 (same slope for the line : 2x+y-1=0 because this lines are parallel and you can write y=-2x-1
an equation for this line is : y-2 = -2(x-1)
Damian's famouse punch calls for 6 liters of mango juice. The only mango juice he can find is sold in 500-milliliter cartons. How many cartons of mango juice does Damian need to buy?
Answer:
12 cartons
Step-by-step explanation:
500 millilitres is equal to 0.5 liters, so with this you can divide 6 L by 0.5 L to find that you need 12 cartons in total
On Saturday Elena biked 10 miles. On Sunday she biked 50% of that distance. How far did she travel on Sunday?
50% is one half.
One half of 10 miles would be 5 miles.
You can either divide 10 by 2 or multiply 19 by the decimal for 50% which is 0.5 , they will both get you the answer of 5 miles.
Determine whether triangle RST or triangle LMN is similar to triangle ABC?
Answer:
triangle LMN is similar to triangle RST
Step-by-step explanation:
what’s the answer and the work
Answer:
12
Step-by-step explanation:
12x12=144
Sue has 18 sweets.
Tony also has 18 sweets.
Sue gives Tony x sweets.
Sue then eats 5 of her sweets.
Tony then eats half of his sweets.
Write expressions for the number of sweets Sue and Tony now have.
Answer:
s = 13 - x
t = [tex]\frac{18+x}{2}[/tex]
Step-by-step explanation:
To start out with:
s = 18
t = 18
Sue gives Tony x sweets
s = 18 - x
t = 18 + x
Sue then eats 5 of her sweets
s = 18 - x - 5 = 13 - x
t = 18 + x
Tony eats half of his sweets
s = 13 - x
t = [tex]\frac{18+x}{2}[/tex]
(Possible constraint that [tex]x\mod 2 = 0[/tex])
When Sue gives Tony x sweets, and then eats 5, she has 13 - x sweets left. Tony, having received x from Sue and then eats half of his total, has 9 + 0.5x sweets.
Explanation:The question begins with Sue and Tony each having 18 sweets. First, Sue gives Tony 'x' sweets which results in Sue having 18 - x sweets and Tony having 18 + x sweets. Sue then eats 5 sweets resulting in her having 18 - x - 5 = 13 - x sweets. Tony then eats half of his sweets, resulting in him having (18 + x) / 2 = 9 + 0.5x sweets. So, the expressions summarizing the number of sweets Sue and Tony have now are 13 - x for Sue and 9 + 0.5x for Tony respectively.
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find the reciprocal of 2 / -5 × 3 / -7
Answer:
[tex] \frac{35}{6} [/tex]
Step-by-step explanation:
[tex] \frac{2}{ - 5} \times \frac{3}{ - 7} \\ = \frac{6}{35} [/tex]
Now turn the answer upside down[tex] \frac{6}{35} = = > \frac{35}{6} [/tex]
Please help me I will mark BRAINLIEST!!! Find the value of x
Answer:
x = 2√3 ≈ 3.464
Step-by-step explanation:
The side marked x is opposite the given 30° angle. The side marked 6 is adjacent to that angle. The trig function relating opposite and adjacent sides of a right triangle is ...
Tan = Opposite/Adjacent
Filling in values, we have ...
tan(30°) = x/6
Multiplying by 6 gives ...
x = 6tan(30°) = 6(√3/3)
x = 2√3 ≈ 3.464
Combine the like terms to create an equivalent expression: \large{-3k-(-8)+2}−3k−(−8)+2minus, 3, k, minus, left parenthesis, minus, 8, right parenthesis, plus, 2
Answer:
-3k+10
Step-by-step explanation:
We want to simplify the expression: [tex]\large{-3k-(-8)+2}[/tex]
Step 1:
Open the bracket taking note of the fact that the product of same sign is positive.
[tex]\large{-3k-(-8)+2}=-3k+8+2[/tex]
Step 2:
Simplify
[tex]-3k+8+2=-3k+10[/tex]
Therefore, an equivalent expression to -3k-(-8)+2 is -3k+10.
A bus traveled on a level road for 3 hours at an average speed 20 miles per hour faster than it traveled on a winding road. The time spent on the winding road was 3 hours. Find the average speed on the level triad if the entire trip was 252 miles
Answer:
65 mph on level road
Step-by-step explanation:
Set b as average speed on the level road and (b-20) = average speed on the winding road
Distance = speed * time
Level Road distance + winding road dististance = 285 miles
Substituting b and (b-20), we have,
3b + 2(b-20) = 285
3b + 2b - 40 = 285
5b = 285 + 40
5b = 325
b= 325/5
b = 65 mph on level road
Answer: 52 mph
Step-by-step explanation:
Assume the following :
a = average speed traveled on level road
(a - 20) = average speed traveled on winding road
Recall:
Distance = speed × time
Total distance traveled :
Level road distance + winding road distance = 252 miles
3a + 3(a - 20) = 252
3a + 3a - 60 = 252
6a = 252 + 60
6a = 312
a = 52 mph on a level triad
Lila lives in a house that is 12 meters below sea level. Lila goes to school every day, which is 6 meters above sea level. How many meters does Lila travel, in altitude, when going from home to school?
Answer:
18 meters
Step-by-step explanation:
12 + 6 = 8
Lila travels an absolute altitude difference of 18 meters from home to school, considering she travels from 12 meters below sea level to 6 meters above sea level.
Explanation:The question presents a situation where Lila travels from an altitude of 12 meters below sea level to an altitude of 6 meters above sea level. Here, instead of adding these two numbers, we consider the absolute values of these heights. Thus, when Lila travels from her home to school, she first climbs up 12 meters to reach sea level and then another 6 meters to reach her school. So, in total, Lila travels 18 meters in altitude when going from home to school.
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The alphabet game costs $.25 to play. Before the game, 26 slips of paper with a different letter of the alphabet on it are put into a bag. A player draws one slip from the bag. If the player draws a vowel (A, E, I, O, or U), he or she wins $1. If a player plays the alphabet game 2 times in a row, replacing the slip of paper after each turn, what is the probability that they win twice? Write as a fraction.
Answer: 25/676
Step-by-step explanation:
Number of possible outcomes = 26
In other to win, one must draw must be either (A, E, I, O or U)
Therefore required drws to win = 5
First draw:
P(win) = Total required outcome / Total possible outcome
P(win) = 5/26
Second draw:
P(win) = Total required outcome / Total possible outcome
P(win) = 5/26
Therefore,
P(winning twice) = (5/26) × (5/26) = 25/676
The probability of winning the alphabet game twice in a row is 25/676.
To calculate the probability of winning the alphabet game twice in a row, we need to consider the probability of drawing a vowel each time and then multiply these probabilities together since the events are independent.
First, we identify there are 5 vowels (A, E, I, O, U) in the alphabet, and there are 26 total letters. So the probability of drawing a vowel in one turn is 5/26.
To win twice in a row, you would need to draw a vowel during your first turn and then replace the slip and draw a vowel again on your second turn. Since the slip is replaced after each turn, the probability for each turn remains the same (5/26).
Therefore, the probability of winning twice is:
(5/26) * (5/26) = (25/676)
So, the probability of winning the alphabet game twice in a row is 25/676.
1 5/6 times 2 3/4
it says give the answer as a mixed number in it simplest form
Answer:
5 1/24
Step-by-step explanation:
first you turn the mixed fraction to improper fraction
1 5/6=11/6
2 3/4= 11/4
11/6 times 11/4 = 121/24
121 divided by 24= 5 1/24
Answer is 5 1/24. You have to keep, change, flip
-Dhruva;)
what is the proablity of rolling a 3 and landing on heads
Answer:
2/5
Step-by-step explanation:
Which answer explains why the sum of 12+12 is an even number
A.Any number plus 12 is even.
B.Both addends are equal.
C.Any number greater than 12 is even.
D.12+12 is equal to an odd number
Answer:
Even + Even = even
odd + odd = even
Odd + even = odd
even + odd = odd
Rule of thumb in addition.
Answer is B
Step-by-step explanation:
Final answer:
The sum of 12+12 is an even number because both addends are even numbers, and adding two even numbers always results in an even sum.
Explanation:
The question you're asking is about why the sum of 12+12 is an even number. To answer this, we need to understand a property of even numbers. An even number is any integer that can be divided by 2 without leaving a remainder. Adding two even numbers together will always result in another even number because the sum of two multiples of any number is a multiple of that number. Since 12 is an even number (it can be divided by 2 to get 6), adding it to itself (another even number) must result in an even sum.
It's not correct to say that any number plus 12 is even (Option A) because if you add 12 to an odd number, the result is odd. Option B is the closest to a correct explanation because both addends are equal and are even numbers. Saying any number greater than 12 is even (Option C) is incorrect because odd numbers also exist above 12. Finally, 12+12 is not equal to an odd number (Option D), so that choice is incorrect as well.
What is true about the solution of x^2/2x-6=9/6x-18?
Answer:
x = ±√3
Step-by-step explanation:
In order to avoid extraneous answers, I like to work these by transforming to an expression equal to zero.
[tex]\dfrac{x^2}{2x-6}=\dfrac{9}{6x-18}\\\\\dfrac{x^2}{2(x-3)}-\dfrac{9}{6(x-3)}=0\\\\\dfrac{x^2-3}{2(x-3)}=0\\\\x^2=3\\\\\boxed{x=\pm\sqrt{3}}[/tex]
__
If you do this the usual way, by clearing fractions to start, you will get an extraneous solution of x=3.
is the equation y = –16x2 + 20x + 4 a function
Answer: yes
Step-by-step explanation:
Dado el número N = 4752a, averigua qué valor ha de tomar "a" para que: a) N sea divisible por tres. b) N sea divisible por cinco. c) N sea divisible por 15. d) Cuando se divida N por 7 dé de resto 5.
Answer:
I will answer it in English:
a) We have te number N = 4752a
if we want to divide it by 3, then the addition of all the digits must be a multiple of 3.
Sum = 4 + 7 + 5 + 2 + a = 6 + 7 + 5 + a = 18 + a
and 18 is a multiple of 3, then we can have, a = 0, a = 3, a = 6, a= 9
b) A number is divisible by 5 if it ends on 5 or 0, so the possible values of a are 0 and 5.
c) we know that 15*3 = 45
then 15*3000= 45000
now we have:
4752a - 45000 = 252a
15*13 = 2520
then we have that a must be equal to zero, and:
15*(13 + 3000) = 47520
d) We want a number that when we divide it by 7, the surpass is 5.
a number is divisible by 7 if the difference between the number without the units and the double of the units is 0 or a multiple of 7.
in N = 4752x the unit is a, then we have:
D = 4752 - 2*x
now, let's choose a such we have a multiple of 7
we know that 5746 is a multiple of 7, so we can choose x= 3 and get:
D = 4752 - 2*3 = 5746
So the number N = 47523 is a multiple of 7, and when we divide it by 7 we will have a surpass of 0.
Then when we divide N + 5 by 7, we will have a surpass of 7.
This is: N + 5 = 47528
This means that the actual value of a that we need is 8.
The circumference of a circular pond in the park is 120 meters. Find the area.
The formula for circumference is C = πd.
What is the value of the diameter rounded to the nearest whole number?
What is the value of the radius rounded to the nearest whole number?
The formula for area is A = πr2.
What is the approximate area of the circular pond rounded to the nearest whole number? m2
Answer:
1) 38
2) 19
3) 1134
Step-by-step explanation:
Which equation can be used to find the volume of this solid? A rectangular prism with a length of 5 centimeters, width of 4 centimeters, and height of 2 centimeters. V = 2 times 4 times 5 V = 2 + 5 + 4 V = 2 times 5 V = 4 times 5
Answer:A: V= (2)(4)(5)
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
If each dimension of the rectangular prism is doubled, how will its total surface area change?
A rectangular prism. The length is 3 meters, width is 4 meters, and height is 2 meters.
Answer:
In a rectangular prism, all six surfaces are rectangles as shown ... to length X width, ( l⋅w , the surface area of the sides can be calculated by ... Total surface Area = A=2(l+w)h+2lw=2(lh+wh+lw). If we double all three dimensions we get: ... Doubling the dimensions makes the surface area 4 times the original ...
1 answer
Step-by-step explanation:
Answer:
It increases by 4
Step-by-step explanation:
Factor completely: 14v^3+35v^2+10v+25
Answer:
(2x+5)(7x^2+5)
The radius of a popper is 6 cm. Its length is 35 cm. Find
the area of the paper required to cover the popper.
Answer:
poda potta
Step-by-step explanation:
True or false help pls
Answer:
Answer: False
Step-by-step explanation:
Answer:
False :)
Step-by-step explanation:
For every 2 blocks Raevan jogs, she walks
1 block, Raevan wants to cover a distance of
36 blocks today. How many blocks will she jog?
Answer:
I believe she will jog 18 blocks.
Step-by-step explanation:
The coordinates A(0,0) B(0,4) and C(2,0)are graphed and connected together. What 3 dimensional shape will be created
A right triangle. The Origin connects 4 blocks up ON the y axis, then connects 2 on the x axis.
How do you solve for y?
-102.75 / -3
Round to nearest tenth
Answer: To approximate a number to the nearest tenth you have to look at the hundredths digit. If it is 5 or more you have to add 1 to the tenths digit, else if it is lower than 5 you leave the tenths digit unchanged.
Step-by-step explanation:
Answer:
34.3
Step-by-step explanation:
i used my brain
How many feathers are 214 inches or shorter?
Answer:
about how many it says
Step-by-step explanation:
[tex]PLEASE HURRY WILL MARK BRAINLEST[/tex]
Answer:
43°.
Step-by-step explanation:
To find the measures of the other two angles, we will need to use various angle properties.
We can use the Supplementary Angles formula to find the adjacent angle to the angle that measures 123°.
180 - 123 = 57°. This is the measure of the first angle.
Now, to find the measure of the second angle, we know that these are vertical angles meaning they are congruent. Therefore, the measure of the angle is 80°.
To find 'x', we will simply need to subtract from 180:
180 - 80 - 57 = 43°.