Answer:
60–x (smaller )
Step-by-step explanation:
Sum of all 4 angles of a quadrilateral = 360°
(5x-30) + (3x + 60) + (60-x) +(4x+ 50) = 360°
(12x - x) + ( 170 - 30) = 360°
11x + 140 = 360°
11x = 360 - 140 = 220
x = 220/11 = 20°
Each angles is :
5x - 30 = 100 - 30 = 70°
3x+ 60 = 60 + 60 = 120°
60 - x = 60 - 20 = 40°
4x + 50 = 80 + 50 = 130°
Smallest of these angles is 40°
If the measure of angle 2 is 2x+3 and the measure of angle 4 is 4x-7, what is x?
Answer:
-92
Step-by-step explanation:
2x+3-4x-7=180
Area of a rectangle is 272.4 m if the length is 15 m what is the perimeter of the rectangle
Answer:
66.32
Step-by-step explanation:
Hello!
[tex]\large\boxed{66.32 m}[/tex]
We are given the area, so we can solve for the width given the length:
A = l × w
Thus:
272.4 = 15 × w
w = 18.16 m
The perimeter of a rectangle can be calculated using this equation:
P = 2l + 2w
Therefore:
P = 2(15) + 2(18.16)
P = 30 + 36.32 = 66.32m
The Pythagorean Theorem can be used to find the distance between points (3, 2) and (6, 4). Select all the points that could be the third vertex in the
triangle.
(0,0)
(3,4)
(3,6)
(4.5,3)
(6,2)
(3,4) and (6,2) could be vertices of a right triangle with (6,4) and (3,2)
(0,0) is on the same line as (6,4) and (3,2) so it doesn't even form a triangle, much less a right triangle.
(3,6) forms a scalene isosceles triangle, but not a right triangle It's a 4-sqr13-sqr13 triangle
(4.5,3) also forms an obtuse isosceles triangle, but not a right triangle It's a sqr13 - sqr3.25 - sqr3.25 triangle
The surface area of this cylinder is
How much greater is - 31 than -62.09?
9514 1404 393
Answer:
31.09
Step-by-step explanation:
You find the difference by subtraction:
-31 -(-62.09) = -31 +62.09 = 62.09 -31
= 31.09
-31 is 31.09 greater than -62.09.
Which of the following is a sinusoid? A. y = cos(x) - 2 B. x^2 + y^2 = 1 C. y = 3sqrtx D. x^2/3+y^2/6=1
Answer:
A. y = cos(x) - 2
Step-by-step explanation:
The word "sinusoid" means the graph has a shape of the sine function that smoothly goes up and down.
However, the cosine function also has the same shape but the only thing is that it is horizontally translated. Thus, the cosine function is the sinusoid.
Find the value of x using the Pythagorean theorem
Answer:
Step-by-step explanation:
a^2+b^2=c^2
16^2+x^2=20^2
256+x^2=400
x^2=400-256
x^2=144
x=[tex]\sqrt{144[/tex]
x=12
in a bag I have 16 yellow marbles, 14 by marbles and 10 black marbles. If I draw to marbles, one at a time, what’s my probability of drawing a black marble, putting it back and then choosing a yellow marble
Answer:
1/10
Step-by-step explanation:
There are 16+ 14+10 = 40 marbles
P( black) = black/total = 10/40 = 1/4
We put it back
There are 16+ 14+10 = 40 marbles
P( yellow) = yellow/ total = 16/40 = 2/5
Multiply the probabilities together
P( black, yellow) = 1/4 * 2/5
= 2/20 = 1/10
Find the area of the shaded religion.
Giving brainliest! <3
Answer:
252
Step-by-step explanation:
12*18+6*6
Answer:
about 180 tell me if im wrong
Which of the following values have 3 significant figures? Check all that apply.
OPTION C AND D
99.8 AND 458 are the values have 3 significant figures
Helen rolls a dice and flips a coin.
Calculate the probability that she gets a 4 and a tail.
1/6 odds of rolling a 6
1/2 odds of flipping tails
1/6 x 1/2 = 1/12
The probability that she gets a 4 and a tail is 1/12.
What is the probability?The Probability in mathematics is the possibility of an event in time. In simple words, how many times that incident is happening in any given time interval.
Given:
Helen rolls a die and flips a coin.
The probability of getting 4 on the die,
= 1/6
The probability of getting tail on the coin,
= 1/2
The probability that she gets a 4 and a tail,
= 1/2 x 1/6
= 1/12
Therefore, the probability is 1/12.
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PLEASE HELP ASAP !!!!!!!!
Answer:
[tex] \large{ \tt{❃ \: EXPLANATION }}: [/tex]
We're provided - m [tex] \angle[/tex] FBD = ( 2x + 3 ) ° & m [tex] \angle[/tex] EBC = ( 9x - 11 ) ° and We're asked to find m [tex] \angle[/tex] EBC .Do you know what vertically opposite angles are ? - When two lines intersect , the angles formed opposite to each other are called vertically opposite angles. Vertically opposite angles [ VOA ] are always equal to each other.
[tex] \large{ \tt{❁ \: SOLUTION}} : [/tex]
Set up an equation and solve for x :[tex] \large{ \tt{❈ \: (2x + 3) \degree = (9x - 11) \degree} \: (BEING\: VERTICALLY \: OPPOSITE \: ANGLES)}[/tex]
[tex] \large{ \tt{⟶2x \degree + 3 \degree = 9x \degree - \: 11 \degree}}[/tex]
[tex] \large{ \tt{⟶3 \degree + 11 \degree = 9x \degree - 2x \degree}}[/tex]
[tex] \large{ \tt{⟶14 \degree = 7x \degree}}[/tex]
[tex] \large{ \tt{⟶ \: 7x \degree = 14 \degree}}[/tex]
[tex] \large{ \tt{⟶x = \frac{14 \degree}{7 \degree} }}[/tex]
[tex] \boxed{\large{ \tt{⟶x = 2 \degree}}}[/tex]
The value of x is 2°.[tex] \large{ \tt{☄ \: REPLACING \: VALUE}} : [/tex]
[tex] \large{ \tt{↝ \: m \: \angle \: EBC = (9x - 11) \degree = (9 \times 2 - 11) \degree = \boxed{ \boxed{ \tt{7 \degree}}}}}[/tex]
[tex] \boxed{ \boxed{ \large{ \tt{OUR \: FINAL \: ANSWER : \boxed{ \underline{ \bold{} \tt{7 \degree}}}} }}}[/tex][tex] \tt{✺ \: NOTHING \: CAN \: GIVE \: YOU \: THE \: POWER \: MORE \: THAN \: EDUCATION \: DOES!} \: ♪[/tex]
۵ Hope I helped! ツ
☼Have a wonderful day / evening !☃
# StayInAndExplore ! ☂
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
84/120 simplified as a fraction
=5−82 find slope value
Simplify the expression:
7y+9+7–2y
Answer:
5y+16
Step-by-step explanation:
see image below:)
Answer:
5y+16
Step-by-step explanation:
like terms y and y
7y-2y
9+7
5y+16
what is 41393415 in kg?
Answer:
41393415 in kg is 1.8776E+07, or about 18775737.2.
Step-by-step explanation:
For this equation, you should divide 41393415 by approximately 2.20462262 to get your answer of 1.8776E+07 or about 18775737.2.
Give the slope and the y-intercept of the line
y= −x+8
. Make sure the y-intercept is written as an ordered pair.
Slope:
Y-intercept:
BRAINLIEST if correct
Answer:
1. You roll two standard number cubes and the sum is 1.
2. You roll a standard cube and get a number less than 2.
3. You draw a black card from a standard deck of playing cards
4. A spinner has 5 equal sections numbered 1 through 5. You spin and land on a number less than or equal to 4.
Step-by-step explanation:
Mark me as brainliest!
Suppose that four men and four women will be randomly lined up, from left to right, with all possible orderings of these eight people being equally likely. What is the probability that the men will be in alphabetical order, from left to right, and at the same time the women will also be in alphabetical order, from left to right
Answer:
P = 1 / 40320 or P = 2.48*10⁻⁵
Step-by-step explanation:
The total number of outcomes To is:
To = 8! To = 8*7*6*5*4*3*2
To = 40320
Of all these outcomes there is only one proper outcome, therefore the probability of having all men and women in alphabetical order is:
P = 1 / 40320 or P = 2.48*10⁻⁵
The sum of 15 and Rhonda's age is 62.
Answer:
I guess the que is wrong
........
Answer:
Step-by-step explanation:
let the rhonda's age be r
according to the question the euqation is
15+r=62
r=62-15
r=47
pls help oooooooooooooopoo
9514 1404 393
Answer:
140°
Step-by-step explanation:
Angles 1 and 3 are "corresponding" angles, so are congruent.
∠1 = ∠3
20x +60 = 30x +20
40 = 10x . . . . . . . . . . . . subtract 20x+20
4 = x . . . . . . . . . . . . . . divide by 10
∠1 = 20x +60 = 20(4) +60 = 80 +60
∠1 = 140°
Answer:
140°
Step-by-step explanation:
Angle 1 and angle 3 are corresponding angles ;
Corresponding angles are equal ;
Hence,
Angle 1 = Angle 3
20x + 60 = 30x + 20
Collect like terms
20x - 30x = 20 - 60
-10x = - 40
x = 4
Angle 1 is thus :
20x + 60 ; x = 4
20(4) + 60
80 + 60
= 140°
A store offered a buy one get one free sale for a popular shirt. The manager noticed that 35% of consumers bought a red shirt, 25% a blue, and 40% a green. Assume all consumers bought either two shirts or none at all, but no consumer buys two shirts of the same color. How many consumers did not buy any of these shirts
Answer:
50%
Step-by-step explanation:
Let X = Green and red
Y = Red and blue
Z = Green and blue
( Buy green or red or blue )
⇒ (x + y) + (y + z) + (z + y) = 25 + 40 + 25
⇒ 2( x + y + z) = 100
∴ x + y + z = 50
Buy at least one shirt = 50%
So, did not buy any shirt = 100 - 50
= 50%
The equation of the line that passes through the point (1,5) and is parallel to the linex + 3y =6
Answer:
Y=3x+2
Step-by-step explanation:
first you have to put it in the formula y = mx + c
Y=3-x
in this format c = 0 so there's no intercept
Y=3x+c
The parallel line will have the same gradient but different intercept.
Now we substitute the coordinates(1,5) into the formula.
y = 5
x = 1
5=(3*1)+c
5=3+c
Now we make c the subject.
c=2
So the answer is:Y=3x+2
Suppose a monument in the center of your town casts a shadow that is 32 feet long. If the angle of elevation is 47°, what is the height of the monument?
Answer:
Step-by-step explanation:
Using the solution diagram below ;
Let height of monument = h
Using trigonometric relation :
Tan θ = Opposite / Adjacent
Tan 47 = h / 32
h = tan 47 * 32
h = 34.315 feets
h = 34.3 feets
HELP ME NOW PLEASE 100 POINTS
Answer:
43.5 in^2
Step-by-step explanation:
The area of a trapezoid is given by
A = 1/2 ( b1+b2) h where b1 and b2 are the lengths of the bases and h is the height
We need to change 1 1/4 ft to inches = 1.25 (12) = 15 inches
A = 1/2 ( 15+14) 3
A = 1/2(29)*3
43.5 in^2
A gene for sweat gland production is found on the X chromosome. If a man who lacks sweat glands marries a woman who has normal sweat glands, what will be the phenotype of their children?A. All of the boys will lack sweat glands.B. All of the girls will lack sweat glands.C. The girls will have sweat glands in some areas, but lack sweat glands in others.D. All of the boys will have sweat glands.E. All the boys will have sweat glands, and the girls will have sweat glands in some areas but not others.
Answer:
Option D, All of the boys will have sweat glands
Step-by-step explanation:
Given -
Gene for sweat gland production is found on the X chromosome
Genotype of man - lacks sweat glands (XY)
Genotype of women - has normal sweat glands (X'X')
X' - sweat glands
X - no sweat glands
This is an X linked recessive trait
If these two mates, then the all males will have sweat glands
X'X' * XY ---> X'X, X'X, X'Y, X'Y
Option D, All of the boys will have sweat glands
There are 15 boys and 12 girls in Rosemary’s class. One of the students is selected at random to be the class monitor. What is the probability the student selected is a girl?
A.
45
B.
59
C.
54
D.
49
Answer:
D.
Step-by-step explanation:
The probability the student selected is a girl will be;
⇒ 0.44
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
There are 15 boys and 12 girls in Rosemary’s class.
One of the students is selected at random to be the class monitor.
Now,
Since, There are 15 boys and 12 girls in Rosemary’s class.
Hence, Number of students = 15 + 12
= 27
So, The probability the student selected is a girl = 12 / 27
= 0.44
Therefore, The probability the student selected is a girl = 0.44
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for part A the choices are 25 and 34 and for part b it is 2 and 10
Answer:
Part A is 34
Part B is 2
Step-by-step explanation:
This question did provide some clues to answer this question. Every week, the area covered by the algae is multiplied by 2^1.
To find the area cover increase by the algae per day, the exponent should be divided by 7 since there are 7 days in a week. Hence, every day, the area covered by the algae multiplies by 2^(1/7). In other words, 1 day after the algae was spotted, the area is 12.5 * 2^(1/7), which answers part B.
10 days after the algae was spotted, the area covered by the algae is 12.5 * 2^[(1/7)*10] = 33.6475... , which rounds up to 34 and answers part A.
A jar contains 8 white marbles, 6 black marbles, and 1 red marbles. If one marble is drawn at random, find the probability that the marble is black.
Answer:
Hi there!
6/15 is the probability that the marble is black!
Step-by-step explanation:
Oki, so lets's find the total number of marbles first!
8 + 6 + 1 = 14 + 1 = 15
And just turn it into a fraction!(very simple and easy)
6/15
Answer:
2/5
Step-by-step explanation:
the radius r of the circle below is 11cm
Answer:
[tex]{ \bf{area = \pi {r}^{2} }} \\ = 3.14 \times {11}^{2} \\ = 380.1 \: {cm}^{2} [/tex]