Answer:
We conclude that:
m∠XWY = 41°Step-by-step explanation:
Given
m∠VWX = 139°
m∠YWZ = 23°
To determine
m∠XWY = ?
We know the measure of the angle of a straight is 180°.
As m∠VWX and m∠XWY lie on a straight line.
Thus, the sum of m∠VWX and m∠XWY must be 180°
so we get the equation
m∠VWX + m∠XWY = 180°
Given that m∠VWX = 139°
so substituting m∠VWX = 139° in the equation m∠VWX + m∠XWY = 180°
139° + m∠XWY = 180°
m∠XWY = 180° - 139°
m∠XWY = 41°
Therefore, we conclude that:
m∠XWY = 41°The principal would like to assemble a committee of 8 students from the 20-member student council. How many different committees can be chosen?
Answer:
2
Step-by-step explanation:
If you subtract 8from20 there's 11 memeber student councilors left which then you subtract another 8from the remaining 11 students and there would be 3 student councilors left which means
there can only be 2.5 different committees because you can't subtract 3 from 8
Answer:
125790 different committees can be chosen.
Step-by-step explanation:
The principal would like to assemble a committee of 8 students from the 20-member student council.
We need to find How many different committees can be chosen?
Since the order is not important, so we use Combinations to solve the question.
The formula used is: [tex]^nC_r=\frac{n!}{(n-r)!r!} \\[/tex]
In the question given: we have n = 20 and r = 8
Putting values and finding the number of ways committees can be chosen:
[tex]^nC_r=\frac{n!}{(n-r)!r!} \\\\^{20}C_8=\frac{20!}{(20-8)!8!} \\^{20}C_8=\frac{20*19*18*17*16*15*14*13*12!}{12!8!} \\^{20}C_8=\frac{20*19*18*17*16*15*14*13}{8!} \\^{20}C_8=\frac{20*19*18*17*16*15*14*13}{8*7*6*5*4*3*2*1} \\^{20}C_8=\frac{5079110400}{40320}\\^{20}C_8=125970[/tex]
So, 125790 different committees can be chosen.
please answer this question
Answer:
C, The marble is 3 times as likely to be black as it is to be white.
Step-by-step explanation:
The probability of a marble being drawn is:
number of marbles of that color/total number of marbles
Find total number of marbles
5+8+4+15= 35
So the probability of drawing:
white: 5/32
polka dot: 8/32
striped: 4/32
black: 15/32
The probability of drawing white, polka dot, or striped is obviously different, so A is wrong.
The probability of drawing every color but black is 5/32 + 8/32 + 4/32 = 17/32, which is more than the chance of drawing black, so B is wrong.
The probability of drawing black is 15/32, and that is 3 times larger than the probability of drawing white (5/32), so C is correct.
The probablility of drawing a polka dot is 8/32, which is not four times as large as stripe (4/32), so D is wrong.
Paulo sells 249 medium pumpkins for $8 each and 84 large pumpkins for $14 each. How much money does Paulo collect selling the medium and the large pumpkins
Answer: $3,168
Step-by-step explanation:
Paulo sells 249 medium pumpkins for $8 each. The money Paulo makes from this is:
= 249 * 8
= $1,992
Paulo also sells 84 large pumpkins for $14. The money made is:
= $1,176
Total from selling both is:
= 1,992 + 1,176
= $3,168
. Water in a 10 gallon tank is draining at a rate of 2 gallons per hour. Water in a separate tank is filling at a rate of 4 gallons per hour. How long until the tanks have the same amount of water?
Answer:
Step-by-step explanation:
Water in a 10 gallon tank is draining at a rate of 2 gallons per hour.
= 10 - 2x
Water in a separate tank is filling at a rate of 4 gallons per hour.
= 10 + 4x
Equating both Equations together
10 - 2x = 10 + 4x
10 - 10 = 4x - 2x
How long until the tanks have the same amount of water?
Let the time = x
URGENT PLEASE HELP!
Explain the steps you would take to graph 2x-3y>15.
Answer:
y>5−2x/3
Step-by-step explanation:
Help me please. Id appreciate it greatly
Answer:
1.39
2.4/5
3. 4/5t+39
4. 4
5.4/3
6.4/3g+4
i hope i got this right.
50 points please lmk how to do this
Answer:
ZD= OY= 42
DO= ZY= 25
YV= VD= 60/2= 30
ZV= OV= 18
Step-by-step explanation:
Parallelogram is same as rectangle so opposite side will be same, just like rectangle. and for diagnoal, V bisect both diagnoal so, ZV=VO and YV=VD
Hope this helps!!
What is the y intercept of the following equation 3x-2y=4
Answer:
(0, -2)
i am pretty sure this is the answer
PLS HELPPP I don’t understand and I need help if so pls pls
Answer:
A
Step-by-step explanation:
rod is closest at 3m change
judy is medium at 7 m change
nelda is deepest at 9m change
Two triangles have the same base lengths. One Triangle has the height that is 4 times the height of the other triangle. Are the heights and the areas of the two triangles proportional?
YES
Area of Triangle 1Base=b
Height= h
Area 1=A1=1/2*b*h
Area of Triangle 2Base=b
Height= 4h
Area of triangle 2=A2=1/2*b*4h
Comparing A1 and A2A2/A1= (1/2*b*4h)/(1/2*b*h)
= (1/2*b*4h)/(1/2*b*h)
=4/1
Ratio of heights =h2/h1= 4/1
Ratio of areas =A2/A1= 4/1
They are proportional.
What number is 2/5 of 50
I dont understand 2/5 of 50
İf 50.2/5
[tex]50. \frac{2}{5} = 50 \div 5 = \frac{2}{5 \div 5} = 10.2 = 20[/tex]
İf 2/5 /50
[tex] \frac{\frac{2}{5} }{50} = \frac{2}{5} . \frac{1}{50} = \frac{2 \div 2}{5} . \frac{1}{50 \div 2} = \frac{1}{5} . \frac{1}{25} = \frac{1}{125} = 0.008[/tex]
Please help help help help help im having trouble with this problem what is the answer
i need help this too help me and thank you and thank you
2y - 6x = 10
What’s the y intercept and slope and how do I rearrange them in the y=Mx+b form?
Answer:
Slope/m=3, y-intercept=5
Step-by-step explination
2y-6x=10
Factor out the common term of two
2y/2-6x/2=10/2 /=dividing
y-3x=5
Add 3x to both sides
y-3x+3x=5+3x
Simplify
y=5+3x
To get the slope-intercept form (y=mx+b)
y=3x+5
50 points! True or false? Will mark brainliest! No random answers please :)
Answer:
true because it have no common solution
Answer: false!
Step-by-step explanation:
To be parallel, the lines have to have the same slope. The slope for line a is 5, the slope for line b is -1/5. These lines are perpendicular.
Please help ASAP !!!
The following two triangles are similar. Side AB = 25, side PQ = 5, and side BC = 15. What is the length of side QR?
Answer:
25
Step-by-step explanation:since i helped can i have brainlst please that would be greatly apericated
Answer:
25
Step-by-step explanation:
Calvin takes piano lessons at a community music school located 3.7 miles directly north of the sports complex. What is the length of a straight line between Calvin's house and the music school? Round to the nearest tenth.
Answer:
The answer is below
Step-by-step explanation:
Calvin school is 2.3 miles directly south of his house. After school, he takes a bus 1.8 miles west of his school to the sport complex.
a) What is the length of a straight line between calvins house and the sports complex? Round to the nearest tenth.
b) Calvin takes piano lessons at a community music school located 3.7 miles directly north of the sports complex. What is the length of a straight line between Calvin's house and the music school? Round to the nearest tenth.
Solution:
a) Calvin school, his house and the sport complex form a right angled triangle. The hypotenuse of the right angled triangle is the length of the line between Calvin's house and the sport complex. Let the length of the line between Calvin's house and the sport complex be x.
Using Pythagoras law for right angled triangle, we get that:
x² = 2.3² + 1.8²
x² = 8.53
x = √8.53
x = 2.9 miles to the nearest tenth
b) This forms a right angled triangle with the hypotenuse = length of a straight line between Calvin's house and the music school. one side of the triangle = 1.8 miles and the other side = 3.7 - 2.3 = 1.4 miles.
Let x = length of a straight line between Calvin's house and the music school. Hence:
x² = 1.8² + 1.4²
x² = 5.2
x = √5.2
x = 2.3 miles to the nearest tenth
Please help me i struggle lots on this topic
Answer:
slope = 0
Step-by-step explanation:
remember slope is just rise (change in y) over run (change in x) and since there's no change it has a zero slope, which applies to any horizontal line parallel to the x axis
(this is just me trying to explain slopes, separate from the question you put) if the right most point was 1 higher (5,7) instead of (5,6) then the slope would be 1/2 because to get from (5,7) to (3,6) you move up 1 and over 2
Point (21,28) is dilated by a scale factor of (-1/7) with a center of dilation on the origin. What are the new coordinates
Step-by-step explanation:
Original x-value = 21
New x-value = 21 * (-1/7) = -3.
Original y-value = 28
New y-value = 28 * (-1/7) = -4.
Hence the coordinates of the new point is (-3,-4).
Answer:
Original value of x-axis =21
New value of x-axis = 21×(-1/7) = -3
Original value of y-axis =28
New value of y-axis = 28×(-1/7) = -4
Hence, the new coordinate is (-3,-4).
50 points and will mark brainlist
READ ABOVE
true
or
False
or
Not enough information
Answer:
that is true
Step-by-step explanation:
i think it's help
Step-by-step explanation:
The advertising are telling the truth value of this questions
If 5-x=3 then what is 3x^2
• Solution:-
➪ 5 - x - 3 = 0
➪ 5 - 3 - x = 0
➪ 2 - x = 0
➪ 2 = x
Hence, x = 2
Now,
✯ 3x²
➪ 3 × (2)²
➪ 3 × 4
➪ 12Therefore, 3x² will be = 12.
Help it’s due now! Please
Answer:
44
Step-by-step explanation:
Substitute the values for the variables.
5(8) + 12/3
40 + 4 = 44
Pawl,colin and bria are waiters. One night the restaurant earns tips totalling £78.40 the share the tips in the ratio 2.1.5 how much more does Brian get over colin
Answer: Brian gets $39.2 more over Colin.
Step-by-step explanation:
Given: Total tip amount = £78.40
The ratio of the share of tips for Pawl, Colin and Bria is 2:1 :5.
Let tip amount for Pawl = 2x, tip amount for Colin = x , tip amount for Bria = 5x
Then, 2x+x+5x= 78.40
[tex]\Rightarrow\ 8x = 78.40\\\\\Rightarrow x=\dfrac{78.40}{8 }\\\\\Rightarrow x=9.8[/tex]
Tip for Colin = $ 9.8 , Tip for Bria = 5($9.8)= $49
Difference = $(49-9.8) = $ 39.2
Hence, Brian gets $39.2 more over Colin.
Simplify x^−7. Write your answer using only positive exponents.
x-7 Is how you simplify
Positive form is 1/x/7
What is the slope of each line? Line A: y = negative 5 x minus 2 Line B: y = 2 x + 3
There are 10 children at a party. If each child gets 1/8 of the pizza, how many pizzas will be needed?
Answer:
2 pizzas
Step-by-step explanation:
-1 + 3x< 14 solve the equality
Answer:
x = 5
Step-by-step explanation:
add positive one to both -1 and 14
divide each side by 3
Use the discriminant to determine the number and type of solutions for the equation x^2+49=14x
(A). This equation has 1 real solution and one imaginary solution because the discriminant is negative.
(B). This equation has 2 imaginary solutions because the discriminant is negative.
(C). This equation has 2 real solutions because the discriminant is positive.
(D). This equation has 1 real solution because the discriminant is 0.
Answer:
d is the answer
Step-by-step explanation:
What are the solutions of the equation (2x - 21 = 8?
Answer:
Exact Form: x= 29/2 ( the / is _ under 29)
Decimal form: x= 14.5
Mixed form: x= 14 1/2 ( the / is _ under 2)
Step-by-step explanation:
Move all terms that don't contain
x
to the right side and solve.