Answers
Problem 1
We're given that angle A = angle B. Also that angle B = angle C.
By the transitive property, we can say angle A = angle C.
So basically all three angles are equal to one another. Let's call that unknown angle x.
For any triangle, the three angles always add to 180, so,
x+x+x = 180
3x = 180
x = 180/3
x = 60
That proves angles A,B, and C are each 60 degrees. This triangle is considered equiangular since all angles are the same. Furthermore, the triangle is also considered equilateral meaning all sides are the same. The term equilateral is more widely used, so I'd go with that term if you could only pick one.
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Problem 2
As mentioned in problem 1, the three angles of a triangle add to 180
A+B+C = 180
A+B+90 = 180
A+B+90-90 = 180-90
A+B = 90
This shows A and B are complementary angles. Complementary angles by definition add to 90 degrees.
Related Questions
plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answers
Answer:
67
Step-by-step explanation:
cause math
Answer:
It is 67
Step-by-step explanation:
What is the result when the following equation is solved? 4/5x=1
Answers
Answer:
Step-by-step explanation: 0.8
A random sample of size 1,000 is taken from a population where p = .20.
Find P( < .18).
A. .9429
B. .0571
C. .2643
D. .0793
Answers
A: .9429 Z =.22-.20
The value of P( < 0.18) is 0.057.
What is p value?The probability, for a particular statistical model, that the statistical summary would be equal to or more extreme than the actual observed results if the null hypothesis were true is known as the P value.
Given:
Sample Size = 1000
and, p= 0.20
So, P( P' < 0.18)
= P ( P'- P / √ P(1- P)/ n < 0.18 - 0.20 / √ 0.2 (1- 0.2)/ 1000 )
= P ( P'- P / √ P(1- P)/ n < -0.02/ 0.0126)
= P ( P'- P / √ P(1- P)/ n < - 1.582)
= P( z < - 1.582)
= 0.056939
= 0.057
Learn more about p- value here:
https://brainly.com/question/14790912
#SPJ5
The count of bacteria in a culture is 10 and doubles every 20 minutes. Find the population size after 11 hours. Can someone explain how to solve this?
Answers
Since you asked how to solve this, I will put the answer at the bottom.
You might not think the same way as I but I think in steps.
(1) Calculate how many times the bacteria divide in eleven hoursThe bacteria divide every 20 minutes, and will therefore divide three times every hour, 60/20 = 3.
If the bacteria grow for eleven hours, each bacterium will divide 3 times per hour × 11 hours = 33 times.
(2) Add the orginial size of bacteria into the equation(This part is edited)
(orginial size)*2^number of divisions
10*[tex]2^{33\\}[/tex]
=85899345920
An airplane is preparing to land at an airport. It is 44,8000 feet above the ground and is descending at the rate of 3,100 feet per minute. At the same airport, another airplane is taking off and will ascend at the rate of 2,500 feet per minute. When will the two airplanes be at the same altitude and what will that altitude be? Use two other methods to solve the problem. Explain which methods are easier to use and which are more difficult to use for the situation.
Answers
Answer:
Time: 8 minutes
Altitude: 20000ft
Method 1 is easiest
Method 3 is easiest
Step-by-step explanation:
Given
Airplane 1:
[tex]Height = 44800 ft[/tex]
[tex]Descending\ Rate = 3100ft/min[/tex]
Airplane 2:
[tex]Ascending\ Rate = 2500ft/min[/tex]
Required
Determine when both planes would be at the same altitude?
Let the minute be represented by m
For Airplane 1, Its altitude at any height h is:
[tex]Airplane\ 1 = Height - Descending\ Rate * m[/tex]
It is minus (-) because the airplane is descending
[tex]Airplane\ 1 = 44800 - 3100 * m[/tex]
[tex]Airplane\ 1 = 44800 - 3100m[/tex]
For Airplane 2, Its altitude at any height h is:
[tex]Airplane\ 2 = Ascending\ Rate * m[/tex]
[tex]Airplane\ 2 = 2500 * m[/tex]
[tex]Airplane\ 2 = 2500m[/tex]
Method 1:
For both heights to be equal, we have that:
[tex]Airplane\ 1 = Airplane\ 2[/tex]
This gives:
[tex]44800 - 3100m = 2500m[/tex]
Collect Like Terms
[tex]44800 = 2500m + 3100m[/tex]
[tex]44800 = 5600m[/tex]
[tex]5600m = 44800[/tex]
[tex]m = 44800/5600[/tex]
[tex]m = 8\ min[/tex]
Hence, the time they will be at the same altitude is 8 minutes
Substitute 8 for m in
[tex]Airplane\ 2 = 2500m[/tex]
[tex]Airplane\ 2 = 2500 * 8[/tex]
[tex]Airplane\ 2 = 20000\ ft[/tex]
Hence, they will be at the same altitude at 20000ft
Method 2:
We have that:
[tex]Airplane\ 1 = 44800 - 3100m[/tex]
[tex]Airplane\ 2 = 2500m[/tex]
Since they are to be at the same altitude, then
The difference in their altitude must be 0
i.e.
[tex]Airplane\ 1 - Airplane\ 2 = 0[/tex]
This gives
[tex]44800 - 3100m - 2500m = 0[/tex]
[tex]44800 - 5600m = 0[/tex]
Collect Like Terms
[tex]5600m = 44800[/tex]
[tex]m = 44800/5600[/tex]
[tex]m = 8\ min[/tex]
Substitute 8 for m in
[tex]Airplane\ 1 = 44800 - 3100m[/tex]
[tex]Airplane\ 1 = 44800 - 3100 * 8[/tex]
[tex]Airplane\ 1 = 44800 - 24800[/tex]
[tex]Airplane\ 1 = 20000\ ft[/tex]
Method 3:
We have that:
[tex]Airplane\ 1 = 44800 - 3100m[/tex]
[tex]Airplane\ 2 = 2500m[/tex]
Since they are to be at the same altitude, then
The ratio of their altitudes must be 1
i.e.
[tex]\frac{Airplane\ 1}{Airplane\ 2} = 1[/tex]
[tex]\frac{44800 - 3100m}{2500m} = 1[/tex]
Cross Multiply
[tex]44800 - 3100m = 1 * 2500m[/tex]
[tex]44800 - 3100m = 2500m[/tex]
Collect Like Terms
[tex]44800 = 2500m + 3100m[/tex]
[tex]44800 = 5600m[/tex]
[tex]5600m = 44800[/tex]
[tex]m = 44800/5600[/tex]
[tex]m = 8\ min[/tex]
Substitute 8 for m in
[tex]Airplane\ 1 = 44800 - 3100m[/tex]
[tex]Airplane\ 1 = 44800 - 3100 * 8[/tex]
[tex]Airplane\ 1 = 44800 - 24800[/tex]
[tex]Airplane\ 1 = 20000\ ft[/tex]
Hence;
Their altitudes must be 20000ft
Though the three methods applied uses the same logic at some point, the first method applied is still the easiest and it is a straight forward method that could be applied in solving the question.
Method 3 is the most difficult.
What's the largest odd number you can make using all four digits 4, 5, 3, 6
Answers
Answer:
6543
Step-by-step explanation:
Not much to explain lol
Here,
Odd numbers are 3 and 5.
5>3The largest odd number =6543
−3/4+(1/10÷2/5) plz hurry
Answers
Answer:
-.71
Step-by-step explanation:
-3/4+ ((1/10)/(2/5))
Sarah earns $9 an hour at a Mort’s Pizza Palace, working 20 hours per week. She spends $3 each week for snacks at work, but saves all her other earnings. How many hours must Sarah work to buy a new phone that costs $150?
Answers
Answer:
15h
Step-by-step explanation:
Answer:
17 hours
Step-by-step explanation:
she needs 150, she spends 3 and she makes 9 per hour
153/9 = 17
Length of a rectangle is 8 inches and width of it is 3 inches. What is the area?
Answers
Answer:
24
Step-by-step explanation:
8 times 3=24
Angle measures and segment lengths. Algebra Find the value of each variable.
Answers
(9)
x ° = 1/2 (130° - 30°) = 50°
(due to a theorem about intersecting secants/tangents)
(11) The labeled angle subtends a minor arc of meaure 120°, which means the larger arc has a measure of 360° - 120° = 240°. Then
x ° = 1/2 (240° - 120°) = 60°
(due to the same theorem)
(13) The labeling here is a bit confusing. I'm not sure what the 70° is referring to. It occurs to me that it might be info from a different exercise, so that y ° is the measure of the angle made by the tangent to the circle with a vertex of the pentagon, and x ° is the measure of each arc that passes over an edge of the pentagon.
Each arc makes up 1/5 of the circle's circumferece, so
x ° = 360°/5 = 72°
The pentagon is regular, so each of its interior angles have the same measure of 108°. (Why 108°? Each exterior angle measures 360°/5 = 72°, since the exterior angles sum to 360°. Interior and exterior angles are supplementary, so the interior angles measure 180° - 72° = 108° each.)
The angles formed by the tangent to the circle are supplementary, so that
y ° + 108° + y ° = 180°
2y ° = 72°
y ° = 36°
Give the slope between the points
(-2,4) (-8, 13)
Answer
Answers
Answer:
9/-6
Step-by-step explanation:
when you subtract (x2-x1) and (y2-y1) this is the answer you get.
[tex]-\frac{3}{2}[/tex]
Step-by-step explanation:Use the point slope formula
[tex]Slope = m = \frac{y_2-y_1}{x_2-x_1} = \frac{13-4}{-2-(-8)} = \frac{9}{6} = \frac{9}{6} = \frac{3}{2}[/tex]
This is the difference between two points with the rise (change in y) over the run (change in x)
Sorry it took so long for so little my girlfriend was distracting me
Hope this helps :)
You find a shirt that costs 24.67 for some clothes. To get ready for Black Friday there was a discount, and the discount was 32%. How much does it cost?
Made up question :D !!!
Answers
Answer:16.78
Step-by-step explanation:
SCREEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answers
Answer:
2.4 m
Step-by-step explanation:
Part A: What is the measure of angle x? Show your work. (5 points)
Please hurry I'll give brainlest.
Part B: Explain how you found the measure of angle x by identifying the angle relationships that you used along the transversal. (5 points)
AB and CD are parallel lines, and PQ and PR are transversals which intersect AB at P and CD at Q and R. Angle APQ is labeled as 64 degrees, angle QPR is equal to x, angle PRD is equal to 110 degrees.
Answers
Answer:The missing part of ∠R = 70°. Hence, you can find the missing ∠R in the triangle (70°). 180°-110°=70°
Next x+64=110. The reason why you can do this is because ∠R is going to be an opposite interior angle. Subtract 64 from the left and right sides. x=46
I hope this helps!
Step-by-step explanation:
Answer:
Answer:The missing part of ∠R = 70°. Hence, you can find the missing ∠R in the triangle (70°). 180°-110°=70°
Next x+64=110. The reason why you can do this is because ∠R is going to be an opposite interior angle. Subtract 64 from the left and right sides. x=46
Corina pays $5.00 for materials to make pillows. She makes 3 pillows and sells 2 for $10.00 each and 1 for 5.00 what is corinne’s profit.
Answers
Answer:
$20
Step-by-step explanation:
She has 5 dollars originally, she sells 2 pillows for $10 each that = $20 and then she sold one for $5 but she spent a original $5 on material so $25 - $5 = $20
what is the measure of the larger angle in this degree?
Answers
A straight line is equivalent to 180 degrees with that in mind,
(2.4x)+(9.6x)=180
2.4x+9.6x=180
12x=180
12x/12=180/12
x=15
Now to find the measurement of the larger angle,
9.6*15=144
Just in case you need it
180-144=36
Which is your smaller measurement.
in a certain code "VICTORY" is coded as "YLFWRUB", then how will "SUCCESS" be coded?
Answers
Answer:
VXFFHVV
Step-by-step explanation:
PLS GIVE BRAINLIEST
There are 14 crayon and 30 markers in a pencil box. What is the ratio of crayon s to items in the pencil box?
Answers
Answer:
14 to 44
Step-by-step explanation:
14 + 30 = 44 (this number represents total items)
There are 14 crayons
Therefore the answer Is 14 to 44
What is the slope of the line that runs through points (-7,-20) and (12,18)? Write the equation of that line.
Answers
Answer:
2
Step-by-step explanation:
-20 - 18 = -38
-7 - 12 = -19
-38/-19 = 2
Answer:
The slope is 2 which means the equation would be y=2x.
Step-by-step explanation:
Which is the better buy?
48-fluid-ounce container of laundry detergent for
$5.28
3-gallon container of laundry detergent for $34.56
Answers
Answer:
3-gallon container of laundry detergent for $34.56
Step-by-step explanation:
48-fluid-ounce container of laundry detergent for $5.28
5.28 : 48 = 0.11
check your work: 0.11 x 48 = 5.28
so for the first offer you will be paying $0.11 per ounce of laundry detergent.
3-gallon container of laundry detergent for $34.56
1 gallon = 128 ounces
3 gallons = 384 ounces
34.56 : 384 = 0.09
check your work: 0.09 x 384 = 34.56
for the second offer you will be paying $0.09 per ounce of laundry detergent. 3-gallon container of laundry detergent for $34.56 is a better buy because you will be paying less for each ounce of detergent.
hope this helps!
Can anyone teach mee.....................
Answers
Answer:
(i) The name of the part of the circle, OQ is a radius
(ii) The radius of the sector QOR is 21 cm
Step-by-step explanation:
The given figure is a sector of the circle O
∵ Any sector of a circle formed from 2 radii and an arc
∴ OQ is a radius
(i) The name of the part of the circle, OQ is a radius
The rule of the length of an arc of a circle is L = [tex]\frac{\alpha }{360}[/tex] × 2 π r, where
α is the angle of the sectorr is the radius of the circle∵ The length of the arc QR is 22 cm
∴ L = 22
∵ The measure of the angle of the arc is 60°
∴ α = 60°
∵ π = [tex]\frac{22}{7}[/tex]
→ Substitute them in the rule above
∵ 22 = [tex]\frac{60}{360}[/tex] × 2 × [tex]\frac{22}{7}[/tex] × r
∴ 22 = [tex]\frac{22}{21}[/tex] r
→ Divide both sides by [tex]\frac{22}{21}[/tex]
∴ 21 = r
(ii) The radius of the sector QOR is 21 cm
22 What is the circumference of the circle? Use 7 for yr. 35 cm 44 cm 55 cm
Answers
Answer:
B) 55 cm
Step-by-step explanation:
it’s correct from EDGE
A ___________ ____________ can be written as a fraction or a ratio.
Answers
Hope this helps!!
A recipe for chicken marinade says, "Mix 3 parts oil with 2 parts soy sauce and 1 part orange juice." If you need 42 cups of marinade in all, how much of each ingredient should you use?
Answers
Answer:
We will use;
21 parts oil
14 parts soy sauce
7 parts Orange
Step-by-step explanation:
We can have all of these as a ratio
That would be;
3 + 2 + 1 = 6
For oil
3/6 * 42 = 21 parts of oil
For Soy sauce
= 2/6 * 42 = 14 parts soy sauce
For Orange
= 1/6 * 42 = 7 parts orange juice
Answer: 7 14 21
Step-by-step explanation:
6x___=42 you fill in the blanks
what is the reciprocal of 11
Answers
Answer:
[tex]\frac{1}{11}[/tex]
Step-by-step explanation:
11 is [tex]\frac{11}{1\\}[/tex] so to get the reciprocal just flip it to [tex]\frac{1}{11}[/tex]
How do you do these two questions?
Answers
Answer:
y(t) → 2 as t → ∞
dP/dt = P (P/1850 − 1) (1 − P/16000)
Step-by-step explanation:
The graph shows how dy/dt changes as a function of y.
At t = 0, y = -0.5.
At y = -0.5, dy/dt > 0. Therefore, y is increasing.
y continues to increases until y = 2. At this point, dy/dt = 0, and changes signs from positive to negative, so y begins to decrease. dy/dt then becomes positive again, and the cycle repeats.
So y approaches 2 as t approaches infinity.
dP/dt is negative when P < 1850.
dP/dt is positive when 1850 < P < 16,000.
dP/dt is negative when P > 16,000.
dP/dt is 0 when P is 0.
Therefore, dP/dt = P (P/1850 − 1) (1 − P/16000).
A hiking trail down the side of Mt. Tom drops a vertical distance of 60 meters over a horizontal distance of 300 meters. What is the slope of the trail? Express your answer as a reduced fraction.
Answers
Answer:
Step-by-step explanation:
Slope of the trail is expressed as;
Slope = vertical distance/horizontal distance
Given
Vertical distance = 60metres
Horizontal distance= 300metres
Substitute
Slope = 60/300
Slope = 6×10/30×10
Slope = 6/30
Slope = 6×1/6×5
Slope = 1/5
Hence the slope of the trail in reduced fraction is 1/5
¿que son los grafos triviales?
Answers
Answer:
la respuesta
Step-by-step explanation:
perdon si no es
D(5, 7), E(4, 3), and F(8, 2) form the vertices of a triangle. What is m∠DEF? A. 30° B. 45° C. 60° D. 90°
Answers
After driving 120 miles you completed 3/4 of the trip. How long was the entire trip
Answers
Answer:
160
Step-by-step explanation:
120/3 = 40
40 x 4 = 160
May I have brainliest please? :)
120 + 40 = 160 miles