solution:
m∠DWC = 138° [ given angle ]m∠AWB = 138° [ vertically opposite angles, same angle measure ]m∠AWD = (360° - 138° - 138° ) ÷ 2 = 42° [ total sum up to 360° ]m∠CWB = 42° [ vertically opposite angle ]
Step-by-step explanation:
According to the question we have:
AC and DC intersect at point W.m∠DWC = 138°The missing angle measures are:
m∠AWB = m∠DWC = 138° as vertical anglesm∠AWD = m∠BWC = 180° - 138° = 42° as supplementary with ∠DWCHelp me pleaseeeeeeee
HELP PLEASE
A circle has a diameter AB, and its center is at (-3, 3). Point A is at (1/2,6). Where is point B located?
a-(-6.5, 0)
b-(6.5, 0)
c-(0, -6.5)
d-(-1.25, 4.5)
letter c.
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ANSWER
\huge\green{\overline{\qquad\qquad\qquad\qquad \: \: \: }}
The required coordinates of point B is (-6.5, 0), therefore option a is correct.
To find the coordinates of point B, we can use the midpoint formula. The midpoint formula states that the midpoint of a line segment with endpoints (x₁, y₁) and (x₂, y₂) is given by:
Midpoint = ((x₁ + x₂) / 2, (y₁ + y₂) / 2)
In this case, point A is given as (1/2, 6) and the center of the circle is at (-3, 3). Let's denote the coordinates of point B as (x, y). Since the center of the circle is the midpoint of the diameter AB, we can set up the following equation:
Midpoint = ((1/2 + x) / 2, (6 + y) / 2) = (-3, 3)
Now, let's solve for x and y:
1/2 + x = -6
x = -6 - 1/2
x = -6.5
6 + y = 6
y = 6 - 6
y = 0
So, the coordinates of point B are (-6.5, 0).
Therefore, the correct answer is an option: a-(-6.5, 0).
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The total value of the pennies and nickels was $14.50. Hala counted the coins and found there were 450 coins in all. How many of each type of coin did she have?
Answer:
Hala will have 200 Pennies and 250 nickels.
Step-by-step explanation:
Let x be = number of Pennies
Let y be = number of nickels
x + y = 450
-x -x
——————
y = -x + 450
0.01x + 0.05y = 14.50
0.01x + 0.05( -x + 450 ) = 14.50
0.01 - 0.05x + 22.5 = 14.50
-0.04x + 22.5 = 14.50
-22.5 -22.5
———————————-
-0.04x = -8
——— —
-0.04 -0.04
x = 200
200 + y = 450
-200 -200
————————
y = 250
10×10^-11
[tex]10 \times 10 to \: the \: power \: of \: - 11[/tex]
10×10^-11
Answer:
[tex] {10}^{ - 10} [/tex]
Step-by-step explanation:
since the base is the same you have to add +1 to -11 which equals to -10
HELP PLEASE PLEASEE I WILL GIVE 50 POINTS
Answer:
the first one is 3 4 6 8
the cost is 9.75 i belive and then 15
Step-by-step explanation:
sorry if im wrong
use the following function to find f(2) f(x) = 11x + 2
Answer:
123
Step-by-step explanation:
insert 2 everywhere you see an x
11^2 +2 = 121+2 = 123
HOPE THIS HELPS!!!
Last week, Kip went to the fair. It costs $4.95 to enter the fair and $0.50 per ticket. In the equation below, x represents the number of tickets Kip bought, and y represents the total amount Kip spent.
y = $0.50x + $4.95
If Kip spent $12.45 at the fair, how many tickets did he buy?
Group of answer choices
8
15
25
35
Answer:
x = 15
Step-by-step explanation:
[tex]12.45=4.95+0.5\timesx[/tex]×x
Solve the equation
[tex]12.45=4.95+0.5x[/tex]
Rearrange variables to the left side of the equation
[tex]-0.5x=4.95-12.45[/tex]
Calculate the sum or difference
[tex]-0.5x=-7.5[/tex]
Divide both sides of the equation by the coefficient of variable
[tex]x=\frac{-7.5}{-0.5}[/tex]
Determine the sign for multiplication or division
[tex]x=\frac{7.5}{0.5}[/tex]
Multiply both the numerator and denominator with the same integer
[tex]x=\frac{75}{5}[/tex]
Cross out the common factor
[tex]x=15[/tex]
I hope this helps you
:)
Can someone help with this challenging graph
Answer:
(a) (-∞, -8) (-6, -4) (-2, ∞)
(b) -6, -2
(c) negative
(d) 5
Step-by-step explanation:
(a) A function is "decreasing" when the y-value decreases as the x-value increases.
⇒ the function is decreasing over these intervals : (-∞, -8) (-6, -4) (-2, ∞)
(b) Local maxima are the points on the function where it reaches a maximum.
⇒ maxima at x = -6 and x = -2
(c) negative
(d) 5
What is the answer to 11 > b + 4 > -6
[tex]11 > b+4 > -6\\11 - 4 > b > -6-4\\7 > b > -10[/tex]
Hope that helps!
Find the length of x
Explain why this comparison is either reasonable or not reasonable. 3.4 < 3.36
Answer:
3.4>3.36
Step-by-step explanation:
It is not reasonable because 3.4 is greater than 3.36.
If the exterior angle of a regular
polygon measures 12°, how
many sides does the polygon
have?
Work Shown:
E = exterior angle = 12 degrees
n = number of sides
n = 360/E
n = 360/12
n = 30
This regular polygon has 30 sides.
m∠BAC=43 and BA=9 What is the length of arc BDC? Round to the nearest tenth.
Answer: 224.1
Step-by-step explanation:
Susan needs to walk a total distance of 1/2 of a mile. She has walked 1/8 of a mile so far. How much further does she have to go? Simplify the fraction if possible.
She needs to walk 3/8 of a mile to reach her destination
Difference of fractionsFractions are written as a ratio of two integers
Given the following parameters
Total distance walked = 1/2 miles
Distance walked so far= 1/8 miles
Determine the miles she needs to go further
D = 1/2 - 1/8
D = 4-1/8
D = 3/8
Hence she needs to walk 3/8 of a mile to reach her destination
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Diego wants to have $1,000,000 in 5 years. He plans to invest $250,000 to start and make yearly payments of $125,000 to the account. He will be receiving 3.5% interest compounded monthly on his investment. Will he reach his goal?
No
Yes
Answer:
Yes
Step-by-step explanation:
With the $875,000 from his input alone he is really close to $1,000,000 and doing simple intrest on the $250,000 is $105,000 a year is he earns 3.5% intrest a month.
So in 5 years he'll have about $1,662,500 using simple intrest but with compound it'd be more like 2mil
Hope this helps!
in an isosceles right triangle ABC, the right angle is at B, which is the hypotenuse?
A. AB
B. BC
C. AC
D. BA
Answer: c
AC is the hypotenuse
Where in real-life will we come across something that is more than 100%, e. G. 135%? Give three examples
Real life situations can be represented using mathematical statements
Examples of real life situations of things more than 100% are:
Markup pricesEnlarging the area of a gardenIncrease in savingsHow to determine the real life scenariosWhen something is greater than 100%, then there is an increment in the thing.
Take for instance, a unit of apple that was sold at $4 is not $10.
The percentage change is 150%
Other possible scenarios are when the area of a garden is enlarged and when you increase your weekly savings by more than 100%
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The Coffey family went out to dinner. Their meal cost $75. They used a 20% off coupon. How much did their meal cost after using the coupon
can someone help me with my math problem, im having trouble understanding the question, also this is 6th grade math.
Answer:
B
Step-by-step explanation:
as far as I can tell, Check the picture below.
[tex]\stackrel{mixed}{3\frac{1}{4}}\implies \cfrac{3\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{13}{4}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{}{\cfrac{13}{4}\implies \stackrel{\textit{how many times does }\frac{3}{4}\textit{ go into }\frac{13}{4}?}{\cfrac{3+3+3+3+1}{4}\implies \underset{\textit{4~times with a remainder of }\frac{1}{4}}{\cfrac{3}{4}+\cfrac{3}{4}+\cfrac{3}{4}+\cfrac{3}{4}~~ + ~~\cfrac{1}{4}}}}~\hfill \blacktriangleright 3\frac{1}{4}\div \cfrac{3}{4} \blacktriangleleft[/tex]
How much would $200 invested at 4% interested compounded monthly be worth after 8 years? Round your answer to the nearest cent. A(t)=P (1+r/n)^nt
Answer:
the answer for this question is (D).
Step-by-step explanation:
given
P=200
R=0.04
N=12 (12 months in 1 year)
t=8
A=275.279
round
275.28
(D) is the answer to your question
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also i just learned this so i should be right
Maria invests .93750 at 9.6% per annum for 3 years and the interest is compounded annually. Calculate:
i) The amount to her credit at the end of 2 year
ii) The interest for 3rd year.
Please answer its important
A prism is dilated by a factor of 1. 5. How many times larger is the volume of the resulting prism than the volume of the original prism? Enter your answer as a decimal in the box.
The volume of the resulting prism is 3.375 times of original volume.
What is a dilation or scale factor?The factor by which the dimensions of an object are enlarged is called the scale factor.
Let us take the base area of Prizm = a²
Height of the prism = h
Enlarged area = (scale factor)² * previous area
Enlarged area = 1.5²*a² = 2.25a²
Enlarged height = 1.5h
So, enlarged volume = enlarged area* enlarged height
Enlarged volume= 2.25a²*1.5h = 3.375a²h
Enlarged area/previous area = 3.375a²/a² = 3.375
Therefore, the volume of the resulting prism is 3.375 times of original volume.
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The scale on a map shows that 1 inch = 30 miles. If there are 4.5 inches between your present location and the place you want to go, how many miles do you have to ?
Scale : 1 inch = 30 miles
So, the ratio between the distance on the map and the real distance is 1:30
When a quantity increase/decrease in a ratio, the other one increase/decrease respectively.
Call the miles we have to go : x
1:30 = 4.5:x
(1x4.5):(30x4.5) = 4.5 : x
4.5 : 135 = 4.5 : x
So, x = 135 => We have to go 135 miles to get to the place we want to go.
By what percent will a fraction increase if its numerator is decreased by 30%
а
and its denominator is decreased by 50%?
Answer:
40%
Step-by-step explanation:
Let x = numerator
Let y = denominator
[tex]\implies \dfrac{x}{y}[/tex]
Decreased by 30% = 100% - 30% = 70% = 70/100 = 0.7
Decreased by 50% = 100% - 50% = 50% = 50/100 = 0.5
[tex]\implies \dfrac{0.7x}{0.5y}[/tex]
[tex]\implies \dfrac{0.7}{0.5}=1.4[/tex]
[tex]\implies 1.4 \ \dfrac{x}{y}[/tex]
1.4 as a percentage = 1.4 x 100 = 140%
Therefore, the percentage increase is 140 - 100 = 40%
Express as a trinomial. (x-2)(3x-9)
Answer:
3x + 9)(x - 2) = 3x(x - 2) + 9(x - 2) = (3x 2 - 6x) + (9x - 18) = 3x 2 + 3x - 18
Find the area of the composite figure below.
Answer:
15
Step-by-step explanation:
To find area, you must add.
a
In a survey of 450 people, 74% admitted that
they hate brussels sprouts. How many people in
this survey hate this vegetable?
Answer:
333 people
Step-by-step explanation:
74% of 450 = 0.74
0.74 × 450 = 333
Have a great day! :D
There are 333 peoples in this survey hate this vegetable.
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
We have to given that;
In a survey of 450 people, 74% admitted that they hate brussels sprouts.
Hence, Number of peoples in this survey hate this vegetable is,
⇒ 74% of 450
⇒ 74/100 × 450
⇒ 333
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What is the value of n?
Answer:
4x6=3*n
Step-by-step explanation:
just got it off the web enjoy might not be right
The radius of a circle is 10 meters. What is the length of a 135° arc?
Answer:
Step-by-step explanation:
The total circumference of the circle is: C = 2*pi*radius = 2*(3.14159)*(6) = 37.7 m The total circle has 365o. Your arc has only 135o. Hence: 135o x------- = -------------365o 37.7 m where x is the length of the 135o arc. Solve for x.
plssssssssssssssssssssss helpppp