Answer:
18
Step-by-step explanation:
The order from least to greatest is 12,14,16,18,19,22,122.
The middle number is 18 because there is 3 numbers next to 18 on the right which is 19,22,122 and 3 numbers on the left which is 12,14,16. A median would be easier to find if there is an odd amount of numbers.
Given: Z1 is complementary to 22.
What is the missing statement in step 3 of the proof?
22 is complementary to 23.
0 m21 = m22
Prove: mz1 = m 23
OmZ1 + m22 = 90°
OmZ2 = m23
VV
m22 + m23 = 180°
Statements
1. 21 is comp. to 22
2. 22 is comp. to 23
3. ?
4. m21-90°-m22
5 m22+m23-90°
6. m23-90°-m22
7. m 1 m3
1
2.
3
4
5
6.
7
Reasons
given
given
def. of comp. ZS
subtr. equality prop.
def. of comp. ZS
subtr. equality prop
trans. prop.
Answer:
Option (2)
Step-by-step explanation:
Statements Reasons
1). ∠1 is comp. to ∠2 1. Given
2). ∠2 is comp. to ∠3 2. Given
3). ∠1 + ∠2 = 90° 3. def. of comp. angles
4). m∠1 = 90° - ∠1 4. Subtr. equality property
5). m∠2 + m∠3 = 90° 5. def. of comp. angles
6). m∠3 = 90° - m∠2 6. subtr. equality property
7). m∠1 = m∠3 7. Transitive property
Option (2) will be the answer.
Both angle ∠1 and ∠3 are complementary to ∠2, therefore, ∠1 + ∠2 = 90°
and by properties of equality, ∠1 = ∠3.
Response:
The missing statement in step 3 is; m∠1 + m∠2 = 90°Which property or definition is used to find the missing statement?The completed two column proof is presented as follows;
Statements [tex]{}[/tex] Reasons
1. ∠1 is comp. to ∠2 [tex]{}[/tex] 1. Given
2. ∠2 is comp. to ∠3 [tex]{}[/tex] 2. Given
3. m∠1 + m∠2 = 90° [tex]{}[/tex] 3. Definition of complementary angles4. m∠1 = 90° - m∠2 [tex]{}[/tex] 4. Subtraction equality property
5. m∠2 + m∠3 = 90° [tex]{}[/tex] 5. Definition of complementary angles
6. m∠3 = 90° - m∠2 [tex]{}[/tex] 6. Subtraction equality property
7. m∠1 = m∠2 [tex]{}[/tex] 7. Transitive property
The missing statement in step 3 is therefore; m∠1 + m∠2 = 90°Details of the solution:
Given that ∠1 is complementary to ∠2, we have;
∠1 + ∠2 = 90°
Similarly, by definition of complementary angles, we have;
∠2 + ∠3 = 90°
Which gives;
∠3 + ∠2 = 90°
Therefore;
∠1 + ∠2 = ∠3 + ∠2
Subtracting ∠2 from both sides (subtraction property of equality), gives;
∠1 + ∠2 - ∠2 = ∠3 + ∠2 - ∠2
∠1 + 0 = ∠3 + 0
Which gives;
∠1 = ∠3
Learn more about properties of equality here
https://brainly.com/question/7187454
https://brainly.com/question/11178235
Please help ASAP! Correct answer only! This assignment is due today.
A student has to choose an elective class for the last semester of high school. His counselor suggested 8 electives, 5 of which were dance classes.
If the student randomly chose to read about 4 of the electives, what is the probability that all of them are dance classes?
Write your answer as a decimal rounded to four decimal places.
Answer:
Probability ≈ 0.0714
Step-by-step explanation:
Consider permutation and combination;
[tex]Total Combinations - 8C4,\\8C4 = 8! / 4! * ( 8 - 4 )!,\\8 * 7 * 6 * 5 / 4!,\\\\Total Combinations = 70,\\\\Combinations of Dance Classes - 5C4,\\5C4 = 5! / 4! * ( 5 - 4 )!,\\5 * 4 * 3 * 2 * 1 / 4 * 3 * 2 * 1,\\\\Dance Classes = 5,\\\\Probability - 5 / 70 = 0.0714,\\Conclusion; Probability = ( About ) 0.0714[/tex]
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Please answer correctly !!!!!!! Will mark brainliest answer !!!!!!!!!!!!
=========================================================
How to get this answer:
Locate 6 on the x axis. Draw an arrow down until you reach the f(x) curve, then move to the left until you reach the y axis. We started at x = 6 and ended on y = -6. See the diagram below for this process in action.
So basically f(6) = -6. Visually the point (6,-6) is on the f(x) curve.
Through similar steps, we see that g(5) = -5
Therefore,
4*f(6) - 6*g(5) = 4*(-6) - 6*(-5) = -24 + 30 = 6
A recipe for a batch of blueberry muffins calls for 3/5
the cup of blueberries. If Riley wants to make 1/2
a batch of muffins for herself and her tennis partner, how many cups of blueberries will she need?
Riley will need cups of blueberries.
Answer:
3/10
Step-by-step explanation:
Half of 3/5 is 3/10
Brainliest plss
Answer:
3/10
Step-by-step explanation:
You multiply 3/5 by 1/2.
3/5 x 1/2= 3/10
Hope I could help :)
Read the proof. Given: m∠H = 30°, m∠J = 50°, m∠P = 50°, m∠N = 100° Prove: △HKJ ~ △LNP Statement Reason 1. m∠H = 30°, m∠J = 50°, m∠P = 50°, m∠N = 100° 1. given 2. m∠H + m∠J + m∠K = 180° 2. ? 3. 30° + 50° + m∠K = 180° 3. substitution property 4. 80° + m∠K = 180° 4. addition 5. m∠K = 100° 5. subtraction property of equality 6. m∠J = m∠P; m∠K = m∠N 6. substitution 7. ∠J ≅ ∠P; ∠K ≅ ∠N 7. if angles are equal then they are congruent 8. △HKJ ~ △LNP 8. AA similarity theorem Which reason is missing in step 2?
Answer:
[tex]2. m\angle H+m\angle J +m\angle K =180^{\circ}[/tex]
Reason: the sum of all interior angles of any triangle is equal to 180º.
Step-by-step explanation:
1) Organizing
Statement 1. m∠H = 30°, m∠J = 50°, m∠P = 50°, m∠N = 100° 1. Reason: given
2) Since the sum of all internal angles of any triangle is equal to 180º, just like the formula. N the number of sides of a triangle:
[tex]S_{i}=180^{\circ}(n-2)\rightarrow 180(3-2) \therefore S_{i}=180^{\circ}[/tex]
3) We can also say
[tex]m\angle K=180^{\circ}-(m\angle H+m\angle J)\\m\angle K=180^{\circ}-\left ( 30^{\circ}+50^{\circ} \right )\\m\angle K=100^{\circ}[/tex]
Similarly to the other triangle:
[tex]m\angle L=180^{\circ}-(m\angle N+m\angle P)\\m\angle L=180^{\circ}-\left ( 100^{\circ}+50^{\circ} \right )\\m\angle L=30^{\circ}[/tex]
4) Hence,
[tex]2. m\angle H+m\angle J +m\angle K =180[/tex]
Reason: The sum of interior angles is equal to 180º.
Answer:
B
Step-by-step explanation:
a graph using y=mx+b
Answer:
A graph using y=mx+b would include a positive or negative line (slope) and a y-intercept. If there is a y-intercept between 1 & infinity then the line will not start on the origin. y=mx+b doesnt have to include a y-intercept though. It can include a y-intecept of 0. This would mean that the line would start on the origin. y=mx+b will ALWAYS be a straight line.
Step-by-step explanation:
Hope this helps :)
write 10 examples of rectangle that you observed in your daily life
Answer:
-a book
-a flash card
-the american flag
-post-it
-pencil case
-calculator
-phone
-dollar bill
-tv
-ruler
Step-by-step explanation:
________________________________
Hey!!
Ten examples of rectangles that I observed in my daily life are as follows:
BoxtelevisionMobile phoneswhiteboardClipboardCassetteBagChocolateBiscuitRuler________________________________
What is the contrapositive of the conditional statement? If two variables are directly proportional in the graph is a linear function
How do I find the arc of a circle?\
Answer:
Step-by-step explanation:
Step-by-steP
LA FÓRMULA ES:
arc = πrΘ/180
Which point is between points c and e
Answer:
the answer is D
Step-by-step explanation:
Find the percent increase in volume when 1 foot is added to each dimension of the prism. Round your answer to the nearest tenth of a percent.
Answer:
About 51.5%
Step-by-step explanation:
The volume of the prism currently is (9*4)/2*11=18*11=198 cubic feet. If you added a foot to each dimension, the volume would be 10*5/2*12=25*12=300. (300-198)/198=102/198 a percent increase of about 51.5%. Hope this helps!
Answer:
About 51.5%
Step-by-step explanation:
Jack's brother is 14 years older than him. In six years time, Jack's brother will be twice as old as him. How old is Jack now?
A sample of gold has a volume of 3 cm3 and a mass of 40.7 grams. What is the density of this sample?
Answer:
Density = 13.57 g/cm³
Step-by-step explanation:
▪Volume = 3 cm³
▪Mass = 40.7 grams.
▪Density (p) = Mass (m) ÷ Volume (v)
p = m ÷ v
p = 40.7 ÷ 3
p = 13.56666
p = 13.57 g/cm³
(-4,-1),(-3,-1),(-2,-3),(-1,0),(-3,2 )IS IT AN FUNCTION OR NOT
Answer:
No it isn't a function one of the x values, -3, repeats
Step-by-step explanation:
20. A certain conditional statement is true. Which of
the following must also be true?
A. converse
B. inverse
C. contrapositive D. all of the above
Answer:
C
Step-by-step explanation:
Find the measure of each angle of a regular polygon with 8 sides.
Answer:
135 degree
Step-by-step explanation:
total sum of angle = (8-2) * 180 = 1080
each angle = 1080/8 = 135 degree
|a−b| − |c+d| , if a=−5; b=4; c=1; d=−3
Answer:
5
Step-by-step explanation:
|a−b| − |c+d| , if a=−5; b=4; c=1; d=−3
= a + b - c + d
= 5 + 4 - 1 + (-3)
= 5 + 4 - 1 - 3
= 5 + 4 - 4
= 5
A box contains 20 miniature golf putt-putt balls; 10 are
yellow, 6 are red, and 4 are pink. What is the probability of
picking a red golf ball, replacing it, and then picking a
yellow golf ball? Written as a percent?
Answer: The answer is provided below
Step-by-step explanation:
From the question, a box contains 20 miniature golf putt-putt balls out of which 10 are yellow, 6 are red, and the remaining 4 are pink.
The probability of picking a red golf ball will be:
= 6/20 × 100
= 600/20
= 30%
If the red ball is replaced, the probability of picking a yellow golf ball will be:
= 10/20 × 100%
= 50%
Henry buys a candy bar worth $3.20 plus a chocolate bar worth $1.60. How much change does he have leftover from $8.50? EXPLAIN!
Answer:
$3.70
Step-by-step explanation:
So you have $8.50
You but a candy bar for $3.20
8.50-3.20=5.30
you have $5.30 left to spend
From your remaining $5.30 you buy a chocolate bar that is $1.60
5.30-1.60=3.70
Leaving you with $3.70
Work out the size of angle x and give reasons for your answer. Image attached.
Answer:
The value of X is 75°
<EFB +105°=180° (Being straight line)
<EFB=180-105
<EFB= 75°
X = <EFB = 75°. (corresponding angle)
Henry decides to start an investment savings account. He initially deposits $500 dollars to the bank. Every year, Henry's bank account increases by 15%. Assume x represents the number of years and y is the amount of money in the bank. Which function models this situation below?
Answer:
[tex]y= 500(1+0.15)^x[/tex]
Step-by-step explanation:
This problem can be solved using concept of compound interest
In compound interest
if p is the principal amount
and r is the interest rate
then value of principal amount(A) after n years time is given by
A = p(1+r)^n
=>[tex]A = p(1+r)^n[/tex]
__________________________________
in the problem
in place of n we have x years
y is the amount which is the total amount after n years
p is the principal money deposited = $500
r = 15%
substituting these value in the formula for amount after n years we have
[tex]y= 500(1+15/100)^x\\y= 500(1+0.15)^x[/tex]
Thus, function modeling the situation is [tex]y= 500(1+0.15)^x[/tex]
Which line segment is correct for this answer to the question?
Answer:
Option (A). OB
Step-by-step explanation:
Angle bisector of any angle is a line segment that divides the angle into two equal parts.
From the given picture,
m∠MOB ≅ m∠NOB
(25 + 35)° ≅ (28 + 32)°
60° ≅ 60°
Therefore, OB is the line segment that divides ∠MON into two equal angles. (∠MOB and ∠NOB)
Option (A). will be the answer.
10q - 30 is equivalent to?
Answer:
So in this question im guessing you simplify with parenthesis
Since its too easy, I cant really explain, but heres the answer:
(q+3)*10
Find x 4sqrt3 2sqrt3 8 8sqrt3
Answer:
8
Step-by-step explanation:
sin 30° = 1/2
sin is opponent/hypotenuse
so
opp/hyp = 4/x = 1/2
x = 4 * 2 = 8
Answer:
[tex]\displaystyle x=8[/tex]
Step-by-step explanation:
[tex]\displaystyle x=\frac{sin(90) \times 4 }{sin(30)}[/tex]
[tex]\displaystyle x=8[/tex]
Please answer correctly !!!!! Will mark brainliest answer !!!!!!!!!!!
Answer:
[tex]y = \frac{5}{2} x^{2}[/tex]
Step-by-step explanation:
When you scale a parabola vertically, you multiply the [tex]x^{2}[/tex] by what you are scaling it vertically by.
For example, say you have [tex]y = 8x^{2}[/tex]. That means that [tex]y = x^{2}[/tex] was scaled vertically by a factor of 8.
I hope this helps!
In the diagram, ABCD is a part of a right angled triangle ODC. If /AB/= 6 cm,
/CD/= 15cm, BC/= 8 cm, ZBCD = 90° and AB//DC, calculate, correct to 1 decimal
place, the:
2 points
1. height of triangle ODC;
Your answer
2 points
2. perimeter of triangle ODC.
Answer:
1) 13.3 cm
2) 48.3 cm
Step-by-step explanation:
1) Right angled triangle ODC and right angled triangle OAB are similar because AB//DC. The two triangles have the same proportion and are equiangular (having equal angles) but have different lengths.
Let OB = x, OC = OB + BC = x + 8
Therefore:
[tex]\frac{OC}{OB}=\frac{DC}{AB} \\\frac{x+8}{x}=\frac{15}{6}\\15x=6(x+8)\\15x=6x+48\\15x-6x=48\\9x=48\\x=5.3\ cm[/tex]
The height of triangle ODC = OC = x + 8 = 5.3 + 8 = 13.3 cm
2) Using Pythagoras theorem:
OD² = OC² + DC²
OD² = 13.3² + 15²
OD² = 401.89
OD = √401.89 = 20 cm
2) perimeter of triangle ODC = OD + OC + DC = 20 + 13.3 + 15 =48.3 cm
Please help me do this
Answer:
Step-by-step explanation:
This is part of the Isosceles Triangle Theorem. If one theta is equal to the other theta (and they are or else they wouldn't both be theta; one would be theta and the other might be beta), that means that the sides across from those congruent angles are also congruent. That means that
6x + 6 = 9x - 9 and
15 = 3x so
x = 5
Which of the following lists of ordered pairs is a function?
O A. (2, 4), (0, 2), (2, -4), (5,3)
O B. (1,6), (2,7),(4,9), (0,5)
O c. (0, 2), (2, 3), (0, -2), (4,1)
O D. (1, 2), (1, -2), (3, 2), (3, 4)
Answer:
B
Step-by-step explanation:
A function cannot have more than one point on the same x coordinate. So, B is the only option that works.
Please help me with this it's really important
A 40-question test has 108 possible points. There are m 4-point questions and n 2-point questions. How many of each type of questions are on the test?
Answer:
There are 14 4-point questions and 26 2-point questions.
Step-by-step explanation:
m = number of 4-point questions
n = number of 2-point questions
m+n =40
4m + 2n =108
You can solve system by elimination:
Multiply the 1st equation by -4 and keep the 2nd equation the same.
−4(m+n=40) → -4m -4n= -160
4m+2n=108 add them up
-2n = -52 divide both sides by -2
n = 26
plug it back in to solve for m
m + n = 40 →m + 26 =40 subtract 26 to both sides
m = 14
Answer:
m=14, n=26
Step-by-step explanation:
