Answer:
20
Step-by-step explanation:
40 ÷ 2 = 20
its 20 since BD is an angle that bisects " divdes " angles in half.
The measure of angle ABD is 20 degrees and this can be determined by using the properties of the angle bisector.
Given :
ABC = 40 and BD is the angle bisector of angle ABC.
The following steps can be used in order to determine the angle ABD:
Step 1 - According to the given data, BD is the angle bisector of angle ABC.
Step 2 - An angle bisector bisects the angle into two equal parts.
Step 3 - So, the measure of angle ABD is calculated as:
[tex]\angle ABD = \dfrac{\angle ABC}{2}\\\\ \angle ABD = \dfrac{40}{2}\\\\ \angle ABD = 20^\circ[/tex]
So, the measure of angle ABD is 20 degrees.
For more information, refer to the link given below:
https://brainly.com/question/2478436
In April, Francis had math homework 18 out of the 30 days in the month. Which value is equivalent to the fraction of days she had math homework?
Answer:
Step-by-step explanation:
You didn't give the options but let me try help out.
From the question, we are informed that Francis had math homework 18 out of the 30 days in the month.
For us to get the value that is equivalent to the fraction of days she had math homework, we can reduce the fraction to its lowest term. Therefore,
18/30 = 2/5
2/5 is an equivalent fraction.
What is the equation of the line that is perpendicular to 2x + 4y = 1 and that passes through the point (6,8)?
Answer:
2x - y = 4
Step-by-step explanation:
The base line is 2x + 4y = 1. To obtain a general formula for lines perpendicular to this "standard form" equation, interchange and y and replace the '1' with 'C:'
2y - 4x = C
Since the line in question passes through the point (6, 8), we substitute 8 for y and 6 for x, obtaining:
2(8) - 4(6) = C. Then C = 16 - 24, or = -8.
The desired equation is
2y - 4x = -8, or
4x - 2y = 8, or (after reduction)
2x - y = 4
Find the midpoint of (-3, -2) and (5, -2).
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Answer:
61.92
Step-by-step explanation:
Hope This Helps!
Plz Mark Brainliest!
Answer:
61.92
Step-by-step explanation:
What would be the slope, zero, and the y-int of y = 1/2x -1
Answer:
slope=1/2, y-int=-1
Step-by-step explanation:
y=mx+b
m=1/2
b=-1
Express this number in standard form.
9.647 times 10^{7} =
Answer:
96,470,000
Step-by-step explanation:
10^7=10,000,000
10,000,000 * 9.647= 96,470,000
Hope this helps!
Solve for x, y, and z in the figure below.
Answer:
I believe the answer is A.
Step-by-step explanation:
Correct me if im wrong plz thanks
Answer:
I think the answer is A
Susanna deposits $400 in a savings account with an interest rate of 3% compounded annually. What equation could Susanna use to calculate
how many years it will take for the value of the account to reach $600?
The equation that Susanna could use to calculate how long it would take for the account to reach a value of $600 is 600=400(1.03)^x.
How is future value found?Future value is calculated as:
= Amount x (1 + rate) ^ number of years
If the number of years is to be found and the future value is already known, then the number of years can be x:
600 = 400 x (1 + 3%) ^ number of years
600 = 400(1.03)^x
Find out more on future value at https://brainly.com/question/24703884.
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Mike's plumbing charges 22 for coming to your house and 17 per hour for labor . If I paid him 311 , how many hours,h, was mike at my house write and solve an equation that is represented in this scenario.
what is direct variation
Answer:
its mathematical relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other.
The opening under a bridge is in the shape of a semielliptical arch and has a span of 82 feet. The height of the arch, at a distance of 9 feet from the center, is 28 feet. Find the height of the arch at its center. Hint: let the center of the horizontal span be (0, 0).
Answer:
28.7 feet
Step-by-step explanation:
The equation of a parabola is in the form:
[tex]\frac{x^2}{a^2}+ \frac{y^2}{b^2}=1\\ \\where\ (\pm a,0)=major\ axis,(0,\pm b)=minor\ axis[/tex]
The bridge can be represented as:
Since the width of the bridge is 82 feet, therefore 2a = 82, a = 41
[tex]\frac{x^2}{41^2} +\frac{y^2}{b^2}=0\\ \\The\ point\ (9,28)\ lie\ on \ the\ ellipse\ hence\ substituting:\\\\\frac{9^2}{41^2} +\frac{28^2}{b^2}=1\\\\0.048+\frac{28^2}{b^2}=1\\\\\frac{28^2}{b^2}=1-0.048=0.952\\\\b^2=824\\\\b=\sqrt{824}\\ \\b=28.7 \\\\[/tex]
The arch is 28.7 feet from its center
what is the answer to y=-x+8
Answer:
HI
Step-by-step explanation:
HI
The range of g(x)= [[x/2]] is:
A. All real numbers
B. All odd integers
C. All integers
D. All negative numbers
E. All even numbers
The requried range of the given greatest integer function is all integers. Option C is correct.
What are functions?Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Given expression g(x)= [[x/2]],
Since the given expression is the greatest integer function so the range of the function will be all integers as given as,
For example,
x = 3
g(x) = [[x / 2]]
g(3) = [[3 / 2]]
= [1.5]
= 2 [since for greatest integer function [x] = x + 1 or = x]
Thus, the requried range of the given greatest integer function is all integers. Option C is correct.
Learn more about function here:
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PLZ HELP THIS IS DUE TOMORROW 20 POINTS IF CORRECT!!!! Find the sales tax. Then find the total cost of the item.
Answer:
20
Step-by-step explanation:
find all the zeros of the polynomial function
x^3-2x^2 +5x-10
Answer: x = [tex]\sqrt{5} , -\sqrt{5}[/tex] , and 2
Step-by-step explanation:
in the first two monomials you can factor out x^2, and on the last pair of two monomials you can factor out 5
so, x^2(x-2)+5(x-2)
some rule out there says you can simplify this to
(x^2+5)(x-2)
to find the zeroes, set it equal to zero
(x^2+5)(x-2) = 0
you can split up the pairs of parenthesis to equal 0
(x^2+5) = 0
(x-2)=0
find x for both equation and you end up with [tex]\sqrt{5} , -\sqrt{5} , and 2[/tex]
I don’t understand this I’m looking for x,y and z and explain it to me pls
Step-by-step explanation:
2x + 90 + x = 180
Subtract 90 from both sides
you get 3x = 90
Devide
[tex] \frac{3x}{3} = \frac{90}{3} \\ x = 30[/tex]
(Please Help and do both parts Will give Brainliest)
Answer:
15.625
Step-by-step explanation:
It's a ratio, just divide 192(Box A volume) by 8(Box A length) to get a third number(24) you then use that number to divide Box B's volume. 375/24 is 15.625
Answer:
it equals 10
Step-by-step explanation:
(-8)+6-8+(-5)
A. -11
B. -15
Which one?
Answer:
B
Step-by-step explanation:
if this helps plz give me brainliest :)
Answer:
-15
Step-by-step explanation:
-8+6=-2
-2-8=-10
-10-5=-15
-(4+m)+2=m what is m
Answer:
m=-1
Step-by-step explanation:
-(4+m)+2=m
-2-m=m
-2=2m
m=-1
Find the slope of the line passing through points (2,4) and (7,2)
Three lemon cookies and two fudge cookies have a total of 400 calories. Two lemon cookies and three fudge cookies have a total of 425 calories. How many calories are in each kind of cookie?
Answer:
lemon cremes contain 70 calories. fudge cookies contains 95 calories
Step-by-step explanation:
Let x represent the amount of calories in lemon cremes.
Let y represent the amount of calories in fudge cookies.
Three lemon cremes plus two fudge cookies have 400 calories. This means that
3x + 2y = 400 - - - - - -- - - - -1
Two lemon cremes plus three fudge cookies have 425 calories. This means that
2x + 3y = 425- - - - -- - - - - - 2
Multiplying equation 1 by 2 and equation 2 by 3, it becomes
6x + 4y = 800
6x +9y = 1275
Subtracting,
-5y = - 475
y = - 475/- 5
y = 95
Substituting y = 95 into equation 1, it becomes
3x + 2×95 = 400
3x = 400 - 190 = 210
x = 210/3 = 70
x = 70
A worker is taking cases of screws on a lift. Each case weighs 47 pounds and the worker weighs 182 pounds. the lift
has a weight limit of 2700 pounds Write an inequality that describes the number of cases he can safely take on each
trip. What is the maximum amount of cases he can take?
Answer:
a) The inequality representing the number of cases he can take =
180 + 47c ≤ 2700
b) 53 cases
Step-by-step explanation:
A worker is taking cases of screws on a lift. Each case weighs 47 pounds and the worker weighs 182 pounds. the lift
has a weight limit of 2700 pounds
a) Write an inequality that describes the number of cases he can safely take on each trip.
Let us represent the number of cases as c
hence,
180 + 47 × c ≤ 2700
= 180 + 47c ≤ 2700
b) What is the maximum amount of cases he can take?
The maximum amount of cases he can take =
180 + 47c ≤ 2700
180 + 47c = 2700
Collect like terms
47c = 2700 - 180
47c = 2520
c = 2520/47
c = 53.617021277 cases
c = 53 cases
The maximum number of cases he can carry is 53 cases
A car can travel 476 miles on 14 gallons of gas. Write a proportion relating the distance to the number of gallons. How many miles can the car travel on 17 gallons?
Answer:
578 miles
Step-by-step explanation:
In order to solve this problem, we need to first calculate how many miles the car can travel on a single gallon of gas. To do this we simply divide the 476 miles that the car travelled by the 14 gallons it used to do so.
476 miles / 14 gallons = 34 miles per gallon
Now, we can see that car can travel 34 miles for every gallon of gas it uses. Therefore, in order to calculate the distance, it can travel on 17 gallons, we simply multiply 34 miles by the 17 gallons we will use like so...
34 miles * 17 gallons = 578 miles
The line contains points (3, 5) and (-3, 0). what is the slope intercept form
**Solve for f(10).
f(10) = -x - 5
If Chris paid $450 for a television that was 75% of the original price, what was the original price?
Answer:
$787.50
Step-by-step explanation:
[tex] \frac{75}{100} \times 450 =337.50[/tex]
[tex]337.50 + 450 = 787.50[/tex]
i think this is the answer
Answer:
$600 is the original price
Step-by-step explanation:
Look at the picture and you’ll see.
Answer:
None of the above
Step-by-step explanation:
Answer:
the picture isn't loading :(
Step-by-step explanation:
A snack mix recepie uses a radio of 3/4 pud of dried apple to 1/2pound of dried pairs.
Answer:
Amount to be needed = 3/8
Step-by-step explanation:3/4 pound of dried apples to 1/2 pound of pears
3/4 : 1/2
Amount of dried apples to be needed per pound of dried pears = ??
Therefore, 3/4×1/2 = 3/8
Please I need help?
Answer:
235
Step-by-step explanation:
TIMED TEST PLEASE ANSWER!!
Which does NOT represent the interior angle measures of a triangle?
A. 50, 750, 100°
B. 10°, 80°, 90°
C. 20°, 60°, 1000
D. 45°, 45°, 45°
E. 50°,50°, 80°
Answer:
A (also c if it is 1000 rather than 100)
Step-by-step explanation:
Interior angles in a triangle add up to 180°