Answers
Answer:
44,62, and where is E
Step-by-step explanation:
Part (i)
Angle DBA = 44--------
Reason:
Angle CBA is a right angle (thales theorem), so angle DBA must add to DBC to get 90 degrees. In other words, we solve x+46 = 90 to get x = 44.
============================================================
Part (ii)
Angle DAC = 46--------
Reason:
Both inscribed angles DAC and DBC subtend the same arc (minor arc DC), so the inscribed angles are congruent.
============================================================
Part (iii)
Angle BCE = 74--------
Reason:
Angle BDC is 28 degrees since angle BAC is also 28 degrees (similar reasoning as part ii above). Let y = angle BCD
Focus on triangle BCD. The three interior angles add to 180
B+C+D = 180
46+y+28 = 180
y+74 = 180
y = 180-74
y = 106
Then subtract 180 from this to get the exterior angle BCE
angle BCE = 180-(angle BCD)
angle BCE = 180-y
angle BCE = 74
Or as a shortcut, you could use the remote interior angle theorem
angle BCE = (angle BDC) + (angle DBC)
angle BCE = (28) + (46)
angle BCE = 74
Related Questions
at a restaurant jars of tomato sauce are stored in boxes in the pantry . each box contains 8 jars of tomato sauce . A cook uses 2 jars from 1 of the boxes .
Which function shows the relationship between y , the total number of jars of tomato sauce remaining in the pantry , and x , the number of boxes in the pantry?
Answers
Answer: y=8x-2
Step-by-step explanation
Because 8 jars per box would be 8x (x for how many boxes) and subtract 2 so it would be y=8x-2
Answer:
Step-by-step explanation:
y=8x-2
Use the distributive property to rewrite the following expression.
4(2x - 3)-3(x + 2)
Pls I only have 1 min to get this
Answers
Answer:
6x-12-3x+2
Step-by-step explanation:
8x-12-3x-6
5x-18 this is the answer
A bee travels at 24 km/h. At that rate, how many miles can it travel in a day?
Answers
Since 24 kilometers is equal to 14.9129 (or 15 miles), I multiplied 24 by 24. 24 hours in a day x 24 kilometers. The results were 576 kilometers. I then converted 576 km into miles which gave me 357.91 and I found my answer. I hope this helps you !!!
Geometry
Please help
Answers
explanation:
4+4= PM (8)
MQ = PM, so MQ= 8
PM + MQ = PQ
8 + 8 = 16, so PQ = 16
-4/7 + (-4/3) HELP ME
Answers
Answer:
-40/21
Step-by-step explanation:
(-4/7) + (-4/3) =
First you need to find a common denominator:
(-4/7)(3/3) + (-4/3)(7/7) =
(-12/21) + (-28/21) =
Then combine the two fractions:
(-40/21)
And because you cannot simplify further, you are finished.
help i need to pass:/
Answers
Answer:
biologists have a 14ft john boat with trolling motor for sale or trade for hipnopotomus
Answer:
false
Step-by-step explanation:
factor: 3x^2 + 2x - 21
Answers
Answer: (3−7)(+3)
Step-by-step explanation:
Can someone please give me a free disney plus account
Answers
Answer:
Uh- I cant ;w;
Step-by-step explanation:
Answer:
yes I can if you still want one
Step-by-step explanation:
1 less than the quotient of a number n and 6
Answers
Answer:
[tex]\frac{n}{6}[/tex] - 1
Step-by-step explanation:
whenever the word than is there (less than, greater than) you have to switch the order so it the words 1 was first or in the beginning of the sentence but since the words less than are there, 1 goes toward the end or after the quotient of a number n and 6.
what is 8.8x10^5 in standard notation?
Answers
Answer:
880,000
Step-by-step explanation:
Move the decimal in 8.8 five places to the right.
What is the inverse of multiplication?
Answers
Answer:
i would say division
Step-by-step explanation:
Answer:
Division
Step-by-step explanation:
When we multiply a number is by its (multiplicative) inverse, the result is always 1. Which means, when we add any number to zero, both the operation and inverse operation will give the same number.
What kind of transformation is illustrated between the triangle XYZ and XYZ?
2
. translation
O rotation
O reflection
O translation
Answers
21
2. The dust usually sticks ton TV iscréent because, dust
A. Falls on the TV screen
B. Particles are metallic conductors
c. is attracted by magnets in the TV screen
D. Is attracted
by
static
charges
on the TV screen.
Answers
Answer:
a
Step-by-step explanation:
falls on the TV screen
400+90+7,000+ blank =7,495
Answers
Answer:
The answer is for this question is 5.
Is it 1 2 3 or 4? I need to know
Answers
Answer:
I think it is 1
I'm almost positive
If a student is on the basketball team, then he has practice after school. If there is practice after school, then the student needs to find a ride home other than the bus. Jamal is on the basketball team.
A. Jamal does not have practice after school.
B. Jamal needs to find a ride home other than the bus.
C. Jamal can ride the bus home.
D. no conclusion
Answers
Answer:
B. Jamal needs to find a ride home other than the bus.
Step-by-step explanation:
This conclusion can be made from the prompt.
Hope this helps!
Solve for h(x)=x(x+3)(x-2)
Answers
Answer:
Your answer is:
If you are solving to find x then your answer would have been: x = 0 , -3 , 2
If you are solving to find the x and y intercepts your answer is: ↓
x-intercept(s): (0,0) (-3,0) (2,0)
y-intercept(s): (0,0)
If you are solving to find roots your answer is: x = 0 , -3 , 2
If you want the graph look below ↓
Step-by-step explanation:
Hope this helped : )
The product of Greg's height and 5 is 90
Answers
Answer:
450
Step-by-step explanation:
is the answer
8+($6)+6
Simplify and solve this expression:
Answers
Answer:
6+8=14
14 times 6 is 84
Mutiply 8 by 6 = 48
Add 48 and 6 =54
Answer =54
The distance from Mason's house to Kevin's house is about 5 × 105 inches. The distance from Mason's house to Chloe's house is about 8 × 107 inches. The distance from Mason's house to Chloe's house is how many times as great as the distance from Mason's to Kevin's house?
Answers
Answer:
Distance from Mason's house to Chloe's house is 160 as great as the distance from Mason's to Kevin's house.
Step-by-step explanation:
Let the distance from Mason's house to Chloe's house is x times as great as the distance from Mason's to Kevin's house.
Distance from Mason's house to Kevin's house= [tex]5 \times 10^5[/tex] inches.
Distance from Mason's house to Chloe's house =[tex]8 \times 10^7[/tex] inches
ATQ
[tex]8 \times 10^7= x \times 5 \times 10^5 \\\frac{8 \times 10^7}{5 \times 10^5}=x\\160=x[/tex]
So, distance from Mason's house to Chloe's house is 160 times as great as the distance from Mason's to Kevin's house.
Hence distance from Mason's house to Chloe's house is 160 as great as the distance from Mason's to Kevin's house.
According to a company's website, the top 15% of the candidates who take the entrance test will be called for an interview. You have just been called for an interview. The reported mean and standard deviation of the test scores are 70 and 7, respectively. If test scores are normally distributed, what is the minimum score required for an interview?
Answers
Answer:
The minimum score required for an interview is 77.252
Step-by-step explanation:
We solve this using z score formula
z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
Top 15% of the candidates is a ranking that is equivalent to = 100 - 15% = 85th percentile.
The z score of 85th percentile = 1.036
Mean = 70
Standard Deviation = 7
Minimum score = raw score = ???
Hence:
1.036 = x - 70/7
Cross Multiply
1.036 × 7 = x - 70
7.252 = x - 70
x = 70 + 7.252
x = 77.252
The minimum score required for an interview is 77.252
Miguel completed the division problem below. What is Miguel's error? 754 divided by 0.52. 52 StartLongDivisionSymbol 7540 EndLongDivisionSymbol minus 52 = 234. 234 minus 208 = 260. 260 minus 260 = a remainder of 0 and a quotient of 145. He included a 5 in the quotient, which does not belong. He multiplied the divisor by 10 and the dividend by 100. He subtracted 208 from 234 incorrectly. He multiplied the divisor by 100 and the dividend by 10.
Answers
Answer:
He multiplied the divisor by 100 and the dividend by 10.
Step-by-step explanation:
Given that
Divisor = 0.52
And, the dividend is 754
It can be written as
Divisor is 52 i.e. (0.52 × 100)
And, the dividend is 7540 i.e. (754 × 10)
Now if we multiplied by 100 and divide by 10 so it gives the same result
Therefore the last option is correct and the same is to be considered
And all the other options are wrong
Answer:
D He multiplied the divisor by 100 and the dividend by 10
Step-by-step explanation:
Hope this helps:)
14. Craig jogs 12 km in 1 h. If he jogs at the
same rate, how long will it take him to jog
18 km?
Answers
Answer: 1:30 (one hour and thirty minutes)
Step-by-step explanation:
If he jogs 12 km in an hour, and he wants to jog 18 km, you divide 12 km from when he jogged for and hour by 2 and get 6. Add 12 km to 6 km, and get 18 km in one hour and thirty minutes. So, basically 6 km every 30 minutes.
Answer:
1.5 hours
Step-by-step explanation:
12/1 = 18/x
X = 18/12 = 1.5 hours
Factor out the greatest common factor. 21x2 - 6x 21x2 - 6x =
Answers
Answer:
21x²-6x=x(21x-6)...
The altitude of a helicopter increase is 1000 feet every four minutes. What is the unit rate of change (feet per minute) of the altitude?
Answers
Answer:
250 feet per minute
Step-by-step explanation:
1000 divided by 4 is 250. You divide them by each other because if you multiply 250 feet by 4 minutes, you get 1000.
(brainliest?)
a line with a slope of 1 passes through the point (18,15). What is its equation in slope-intercept form?
Answers
Answer:
y=x-3
Step-by-step explanation:
Equation of the line
The equation of the line in slope-intercept form is:
y=mx+b
Being m the slope and b the y-intercept.
We already have the value of m=1, but need to find b. To do this, we use the given point (18,15) and substitute the coordinates into the equation:
y=mx+b
15=(1)(18)+b
We have used the value m=1. Operating:
15=18+b
Solving:
b=-3
Thus, the equation of the line in slope-intercept form is:
y=x-3
Find the value of each variable.
Answers
M1 = 22
M5 = 22
The measure of angle 1 and 5 are congruent
Emily Wilson was the top scorer in a women's professional basketball league for the 2006 regular season, with a total of 854 points. The number of two-point field goals that Emily made was 73 less than double the number of three-point field goals she made. The number of free throws (each worth one point) she made was 34 less than the number of two-point field goals she made. Find how many free throws, two-point field goals, and three-point field goals Emily Wilson made during the 2006 regular season.
made
Answers
Answer:
Free throw: 139
2 pointers: 173
3 pts: 123
Step-by-step explanation:
Set x equal to the number of 3pts scored.
Then get 2x-73 from the given number of 2pts relative to 3pts.
Then get 2x-107 from the given number of free throws.
Set up an equation in reference to the number of 3pts and multiply by pts for each type to get:
3x+2(2x-73)+1(2x-107)=854
where 3x is pts from 3pts
2(2x-73) is pts from 2pts
1(2x-107) is pts from free throws.
Simplify to get:
9x-253=854
Solve:
9x=1107
x=123.
Then plug in the number of 3pts scored into the other numbers.
PLEASE HELP WILL MARK BRAINLIEST FOR RIGHT ANSWER!!
Answers
Answer:
Population 2 pattern is that every year the population goes down by 2
Step-by-stepation:
Line segment AB is shown on a coordinate grid: A coordinate grid is shown from positive 6 to negative 6 on the x-axis and from positive 6 to negative 6 on the y-axis. A line segment AB is shown with A as ordered pair 1, 3 and B as ordered pair 5, 3. The line segment is rotated 270 degrees counterclockwise about the origin to form A′B′. Which statement describes A′B′? (5 points) A′B′ is parallel to AB. A′B′ is half the length of AB. A′B′ and AB are equal in length. A′B′ is greater than twice the length of AB.
Answers
Answer:
A′B′ and AB are equal in length.
Step-by-step explanation:
Given that the location of the points are at A(1, 3) and B(5, 3).
Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, translation and dilation.
Rigid transformation are transformation that preserves the shape and size when performed. Types of rigid transformation are reflection, rotation, translation.
Hence if AB is rotated 270 degrees counterclockwise about the origin to form A′B′, both A′B′ and AB are equal in length because rotation is a rigid transformation.
If A(x,y) is rotated 270 degrees counterclockwise about the origin, it becomes A'(y,-x).
Hence if AB is rotated 270 degrees counterclockwise about the origin to form A'(3, -1), B'(3, -5)
[tex]AB=\sqrt{(5-1)^2+(3-3)^2} =4\\\\A'B'=\sqrt{(3-3)^2+(-5-(-1))^2}=4,[/tex]