Answers
9514 1404 393
Answer:
m∠ADC = 86°
Step-by-step explanation:
The sum of angles making a straight angle is 180°, so we have ...
(6x +52)° +(9x +23)° = 180°
15x = 105 . . . . . subtract 75°, collect terms, divide by °
x = 7 . . . . . . . . . divide by 15
m∠ADC = (9·7 +23)°
m∠ADC = 86°
Here given that ,
Line BDA is a straight line Angles on the line BDA are ∠BDC & ∠ADCAs we know that , sum of angles on a straight line is always equal to 180° . So ,
=> ( 6x + 52 ) ° + ( 9x + 23 ) ° = 180°
=> 15x + 75° = 180°
=> 15x = 180° - 75°
=> 15x = 105°
=> x = 105°/15
=> x = 7°
Now , by the given information , we need to find the value of ∠ADC
∠ADC = ( 9x + 23 ) °Now substituting the value of x ,
⇒ ∠ADC = 9x + 23
⇒ ∠ADC = 9 ( 7 ) + 23
⇒ ∠ADC = 63 + 23
⇒ ∠ADC = 86°
Related Questions
Please help me for the following questions please !!!!!!!!!!!!!!!!!!!!!!!!!!!!!...…..
Answers
Answer:
All are corrects.
Step By Step Explanation:
It's all the same thing.
Please help me ASP
Give me a Fraction Mixed number word problem
Answers
WORD PROBLEM:
Flock of birds flew for 2 3/4 hours. The next day , they flew for 3 4/5 hours. How many hours did the birds fly in total?PROBLEM:2 3/4 + 3 4/5The earth travels one full rotation around the sun in approximately 365.25 days. How many minutes does it take for the earth to travel one full rotation around the sun? Show your work. Make sure to include units in your answer.
Answers
Using proportions, it is found that it takes 525,960 minutes for the earth to travel one full rotation around the sun.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
One day has 24 hours of 60 minutes, hence the number of minutes in a single day is given by:
Md = 24 x 60 = 1440 minutes.
Hence, the number of minutes in 365.25 days is given by:
My = 1440 x 365.25 = 525,960 minutes
More can be learned about proportions at https://brainly.com/question/24372153
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I really need help on this
Answers
Answer:
i think its c i could be wrong but just go with your gut felling
Step-by-step explanation:
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У
о
12
1
8
N
4
3
о
4
4
Answers
Answer:
13
Step-by-step explanation:
Sorry im in 5th grade.
One angle of an isosceles triangle measures 56°. Which other angles could be in that isosceles triangle? .
Answers
Answer:
68 or 62 degrees
Step-by-step explanation:
If the 56 degree angle is one of the base angles of the triangle, you can multiply it by two (because base angles of an isosceles triangle
are congruent), and then subtract 180 (because you must subtract the sum of two angles from 180 to get the measure of the third angle).
If the 56 degree is not a base angle, then you can use this equation to get the measurement of each base angle:
(180-56)÷2=measure of each base angle
180=sum of angle measures in a triangle
56=measure of third angle
With 180-56, you get the sum of the base angles, so you must divide by two. (Base angles of an isosceles triangle are congruent)
The other angles that could be in that isosceles triangle should be considered as the 56°, 68°, or 62°.
Calculation of the measurement of the angles:Since One angle of an isosceles triangle measures 56°.
So in the case when 56° angle is one of the two congruent angles, so the remaining angles are 56° and 180-2(56) = 68°
Now
In the case when the is 56° Is not congruent to either of the other angles, so each of the remaining two angles should be [tex](180-56)/2[/tex]= 62°.
hence, The other angles can be 56°, 68°, or 62°.
learn more about an angle here: https://brainly.com/question/24283305
Choose all the equations that are true if x=9
Answers
Answer:
A, C, E
Step-by-step explanation:
I don't really know how to explain it but you can kinda substitute 9 for the variable to confirm if you want.
sum of 23.5 , 2.1, 6.07 , and 0.893
Answers
The exchange rate between the American dollar ($) and the British pound (£) was $1.60= £1.
(a) Denise changed £400 into dollars. How many dollars did she receive?
(b) To change the money, the bank charged a fixed amount of £3 plus 2% of the number of pounds changed. Calculate the amount the bank charged Denise to change her £400.
Answers
Answer:
(a) Denise received $640.
(b) The total amount the bank charged Denise was £11
Step-by-step explanation:
Proportions and Percentages
The exchange rate between the American Dollar ($) and the British Pound(£) is $1.60= £1.
(a) Denise changed £400 into dollars. Applying the exchange rate:
£400 = 1.60*400 = $640
Denise received $640.
(b) To change the money, we need to add both fees the bank charged Denise:
A fixed amount of £3
2% of £400 = £8
The total amount the bank charged Denise was £11
Danae is shopping for grass seed. The prices of bags from four brands are shown in the table.
Grass Seed
Brand
Price
Coverage
A
$18.99
3,000 square feet
B
$22.99
4,000 square feet
C
$31.99
5,000 square feet
D
$36.99
6,000 square feet
Which brand of seed has the lowest cost per square foot?
Brand A
Brand B
Brand C
Brand D
Answers
Answer:
The answer is B got it right :)
Step-by-step explanation:
A business bought 500 lamps for $10,000. They want to mark them up 25%. What is the retail price of each lamp?
Answers
Answer:
$25 a lamp
Step-by-step explanation:
First divide $10,000 by 500 lamps to find how much one of them cost
That is $20 a lamp so then multiply .25 *20 or 1/4 *20
you get 5 than add 20 +5=25
The sum of three consecutive even numbers is 228. What is the 3rd number?
Answers
Answer:
74 , 76 , 78
Step-by-step explanation:
Let the first of your number be x, As you are only looking at even integers, the next consecutive even integer would be x+2 and the consecutive even integer after that would be x+4. The sum of these three even integers results in 228 so we can say that:
[tex]First\ even\ number\ + Second\ even\ number\ + Third\ even\ number\ =228 \\\\x+(x+2)+(x+4)=228[/tex]
[tex]x+x+2+x+4=228\\3x+6=228\\3x=228-6\\3x=222\\x=222/3\\x=74\\[/tex]
so the first even number is 74 then the second consecutive even number is 76 then the third consecutive even number is 78
Which division problem does the diagram below best illustrate?
Answers
Collectively, there are 32 squares, separated into groups of 4. When you divide 32 by 4, you’re left with 8 which is reflected by the 8 blue ovals
14 compact cars at 56% of cars sold that day
Answers
Answer:
4
Step-by-step explanation:
PLEASE HELP ME I AM BEING TIMED I WILL GIVE YOU BRAINILIEST!!!!!!
On a road trip a family drives 350 miles per day how many days D must they travel to reach the distance of at least 1400. Solve the inequality what does the solution represent in this situation?
(Just in case you wanted to see the question I put a picture)
Answers
Answer:
The family will travel at least 4 days.
Step-by-step explanation:
The inequality would look like this:
350d ≤ 1400
it's ≤ because the problem said that they had to travel AT LEAST a distance of 1400.
To solve the inequality, use inverse operations.
350d ÷ 350 ≤ 1400 ÷ 350
d ≤ 4
the family will travel at least 4 days.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
math question ???? help
Answers
Answer:
a=54
Step-by-step explanation:
EASY
look triangles are 180 degrees
means all 3 sides add to 180
look at 2a and the missing angle they add up to 180
180-(a+10)-44
missing angle is
−a+126
exteriro plus interior angles add up to 180
-a+126+2a=180
solve and simplify
a=54
A 6-ounce can of Frozen orange juice costs $1.02. Give the unit price in cents per ounce
Answers
The unit price in cents per ounce will be 17 cents / ounce.
The cost of the 6 ounce frozen orange juice is given as:
Cost = $ 1.02
We know that:
$ 1 = 100 cents.
So, by using multiplication, we get that:
$ 1.02 = 1.02 × 100 cents
$ 1.02 = 102 cents.
Now, Number of ounces = 6 ounces
Unit price in cents per ounce = 102 cents / 6 ounce
Unit price in cents per ounce = 51 cents / 3 ounce
Unit price in cents per ounce = 17 cents / ounce
Therefore, the unit price in cents per ounce will be 17 cents / ounce.
Learn more about unit price here:
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Victoria is an actuary for an insurance company. She recently compiled this table to help her determine health insurance premiums for the upcoming year. Consider the likeliness of each individual to have a need for health insurance. Order the individuals from least to greatest need for health insurance. Profile Description Probability of Visiting a Doctor for Injury or Illness This Year 18-year-old male athlete 16% 78-year-old male nonsmoker 53% 65-year-old female smoker 76% 26-year-old female nonsmoker 14% 45-year-old male smoker 39% 32-year-old female nonsmoker 20%
Answers
Answer:
Here is the order (considered % at the end to be a criteria)
26-year-old female nonsmoker 14% 18-year-old male athlete 16% 32-year-old female nonsmoker 20%45-year-old male smoker 39% 78-year-old male nonsmoker 53% 65-year-old female smoker 76%Answer:
26
18
32
45
78
65
least to greatest
The length of a rectangle is 6 metres more than its breadth. the perimeter of the rectangle is 60 metres . find the length and breadth of the rectangle.
Answers
Given :
Length of rectangle is 6m more than breadthPerimeter of rectangle = 60 mTo find :
The Length and the BreadthSolution :
As it is given that the length of rectangle is 6 m more than the breadth.
Thus, let us consider the Breadth as ''x''.
Then the Length will be ''x+6''.
We know that,
Perimeter of rectangle = 2(l + b)
According to Question,
➠Perimeter of rectangle = 2(x+6+x)
➠60 = 2(x+6+x)
➠60 = 2(x+x+6)
➠60 = 2(2x + 6)
➠60 = 4x + 12
➠60 - 12 = 4x
➠48 = 4x
➠48/4 = x
➠12 = x
______________________
∴ We got the Value of Breadth as 12 m, because we have let the breadth as x.
And the Length of the rectangle will be,
↠x + 6
↠12 + 6
↠18 m
Hence,
Length = 18 mBreadth = 12 m▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
Find the exponential function of the 2 points (3, 7) and (5, 63). Use
the formula f(x) = a(b)”.
Answers
Answer:
We obtained the two exponential functions:
[tex]y\:=\:\frac{7}{27}\left(3\right)^x[/tex][tex]y\:=-\:\frac{7}{27}\left(-3\right)^x[/tex]Step-by-step explanation:
As we know that the exponential function is of the form
f(x) = abˣ
Given the points
(3, 7)(5, 63)We know these points belong to the exponential function.
so substituting the values (3, 7) and (5, 63) in the function
putting (3, 7)
y = abˣ
7 = ab³
also putting (5, 63)
y = abˣ
63 = ab⁵
Considering the 2nd equation
63 = ab⁵
as
[tex]a^b\times \:a^c=a^{b+c}[/tex]
so
63 = ab³×b²
substituting 7 = ab³ in 63 = ab³×b²
63 = 7 × b²
b² = 63/7
b² = 9
b = ± 3
If b = 3
plug in b = 3 in the equation 7 = ab³ to find the value 'a'
7 = ab³
7 = a(3)³
7 = a × 27
a = 7/27
so, a = 7/27 and b = 3 would give us the function
y = abˣ
[tex]y\:=\:\frac{7}{27}\left(3\right)^x[/tex]
if b = -3
plug in b = -3 in the equation 7 = ab³ to find the value 'a'
[tex]\:7\:=\:a\left(-3\right)^3[/tex]
[tex]a\left(-27\right)=7[/tex]
[tex]a=-\frac{7}{27}[/tex]
so, a = -7/27 and b = -3 would give us the function
y = abˣ
[tex]y\:=-\:\frac{7}{27}\left(-3\right)^x[/tex]
Thus, we obtained the two exponential functions:
[tex]y\:=\:\frac{7}{27}\left(3\right)^x[/tex][tex]y\:=-\:\frac{7}{27}\left(-3\right)^x[/tex]a. A bicycle shop marks down each bicycle's selling price b by 22% for a holiday sale.
b. What is a single term expression for the sale price?
The expression for the sale price is ____?
Answers
9514 1404 393
Answer:
0.78b
Step-by-step explanation:
The sale price will be ...
b - 22% × b = b(1 -22%) = b(1 -0.22)
= 0.78b . . . . single-term expression for sale price
what is the solution to 13 x is greater than -5
Answers
Answer:
x> -5/13
Step-by-step explanation
x > -5/13
x > -0.38
Which line is perpendicular
to the line passing through
the points (-4, 2) and (4,--4)
Answers
Answer:
The line is 4/3x
Step-by-step explanation:
I graphed it
If P is the circumcenter of triangle ABC, find each measure.
Find AP.
B
11x – 14
D
E
А
F
С
6x + 1
Answers
Answer:
Step-by-step explanation:
Hhhh
Answer: 19
Step-by-step explanation:
Did it
You employ 21 people making an average of $49,000 per year. You want to give every employee a 5% increase for next year. What will be the total increase in your company's annual payroll?
a) $48.000
b) $50,085
c) $51,450
d) $54,250
Answers
Answer:
c) $51,450
Step-by-step explanation:
Current payroll:
21 * 49000 = $1,029,000
Payroll after 5% increase:
1029000 * 1.05 = $1,080,450
Difference between after increase and current payroll:
1080450 - 1029000 = $51,450
. Mr. Ahmet, who won a prize of 1 million USD by participating in a quiz show, will
provide a significant return if he uses it in repo, time deposit and bonds. However, careful decisions need to be
made as to which area to invest. If the money is deposited in the bank, the bank pays interest once a month and
pays 16% interest. Mr. Ahmet wants to buy 2 houses, one worth 900000 USD and the other 500000 USD, in the
future, by investing this money in the bank. Accordingly, after how long is it possible for Ahmet Bey to buy these
two houses with the money and income he earned? If you were Mr. Ahmet, how would you advise him to use
this money?
Answers
Answer:
See below
Step-by-step explanation:
Mr. Ahmet needs:
(900000 + 500000) - 1000000 = 400000more to have enough money to buy those two houses.
Monthly, he gets interest paid:
1000000*0.16/12 = 13333.33Time to have required amount is:
400000/13333.33 = 30 months = 2.5 yearsWithout taking the deposit he would need time:
1400000/13333.33 = 105 months = 8 years and 9 months to buy two housesHe could wait and use the interest to buy houses provided they will still be available and price remains same.
Please Help thank you I appreciate it
Answers
Answer:
48in sq
Step-by-step explanation:
8*12/2=8*6=48
Answer:
48in
Step-by-step explanation:
A triangle like this is like half of a rectangle. The rest fits in the upper left and right. So to find the area of the triangle, we're going to start be pretending it's a recrangle.
Our rectangle is 12 by 8.
12 x 8 = 96
If this were a rectangle, the area would be 96in.
Since it's a triangle and that's only half of a rectangle, the area is half of that.
96 / 2 = 48
The area of this triangle is 48in.
PLEASE HELP ME!!!
On a road trip a family drives 350 miles per day how many days D must they travel to reach the distance of at least 1400. Solve the inequality what does the solution represent in this situation?
(Just in case you wanted to see the question I put a picture)
Answers
Answer:
[tex]350 * D \geq 1400[/tex]
[tex]D\ge 4[/tex]
This means that the family must travel for at least 4 days.
Step-by-step explanation:
Given
[tex]Rate = 350\ miles\ daily[/tex]
[tex]Distance = 1400\ miles\ (atleast)[/tex]
Required
Determine and solve the inequality
The number of days is represented with D
So:
On any D number of days, the family would have covered a distance of 350 * D miles
If the total distance is at least 1400, then the inequality is:
[tex]350 * D \geq 1400[/tex]
[The term "At least" is used to represent greater than or equal to]
[tex]350 * D \geq 1400[/tex]
Divide through by 350
[tex]\frac{350 * D}{350} \ge \frac{1400}{350}[/tex]
[tex]D \ge \frac{1400}{350}[/tex]
[tex]D\ge 4[/tex]
This means that the family must travel for at least 4 days.
Which is the answer?
Answers
A car travels 200 miles using 8 gallons of gasoline. What's the unit rate in miles per gallon? Please write
your work and don't forget the unit.
Answers
Answer:
0.04
Step-by-step explanation:
what you would do is 8 divided by 200 and get 0.04
please mark me brainliest
Answer:
hey i need help with the same test can you help me please. I need the answers please help me.
Step-by-step explanation:
