Find the slope of the line that passes through each pair of points.
1. (5,2),(3,1)
2.(-7,4),(-5,0)
1) In a trapezoid ABCD with legs
AB
and
CD
, the diagonals intersect each other at point O. Compare the areas of: ΔABD and ΔACD
and then
2) In a trapezoid ABCD with legs
AB
and
CD
, the diagonals intersect each other at point O. Compare the areas of:
ΔABO and ΔCDO
pleassssee help
Answer:
1) Area of ΔABD = Area of ΔACD and
2) Area of ΔABO = Area of ΔCDO
Step-by-step explanation:
1) In the given trapezoid ABCD,
AD || BC
Triangles ΔABD and ΔACD lie on the same base AD and lie between the parallel lines AD and BC.
Hence, they are equal in area.
Therefore, Area of ΔABD = Area of ΔACD.
2) From 1), we have
Ar (ΔABD) = Ar(ΔACD)
Subtract Ar (ΔAOD) from both sides,
Ar (ΔABD) - Ar (ΔAOD) = Ar(ΔACD) - Ar (ΔAOD)
Ar (ΔABO) = Ar (ΔCDO)
Find P(C|Y) from the information in the table.
To the nearest tenth, P(C|Y) =
Answer:0.5
Step-by-step explanation:
Anthony purchased 6 fruit bars and 3 chocolate-nut bars for a camping trip. He spent $4.12 on the bars. Anthony wrote the following equation: . What did he define as the variable x?
-1 ≥ -8; Multiply both sides by -2
If the sum of three numbers is 144, what is the average of the three numbers?
Final answer:
The average of three numbers that sum to 144 is 48, found by dividing 144 by 3.
Explanation:
The average of three numbers is the sum of those numbers divided by three. In this case, if the sum of three numbers is 144, then the average can be found by dividing 144 by 3. Calculating this, we get the average, which is 48 (144 ÷ 3 = 48). Hence, the average of the three numbers is 48.
the price for dinner in a resteraunt was $80. The customer paid an addition 7% meals tax and left a $15 tip. how much meals tax did the customer pay?
Final answer:
The customer paid a meal's tax of $5.60 on an $80 dinner, calculated by converting the 7% tax rate to a decimal (0.07) and multiplying it by the cost of the meal.
Explanation:
The question pertains to calculating the meal's tax that the customer paid when the price for dinner at a restaurant was $80 and the meal's tax rate was 7%. To calculate the meal's tax, we need to convert the percentage to a decimal and then multiply it by the total cost of the meal.
To do this:
Convert the percent to a decimal: 7% becomes 0.07.
Multiply this decimal by the cost of the meal: 0.07 × $80 = $5.60.
Therefore, the customer paid $5.60 in meal's tax.
Solve for x.
a) x=7.5 b) x=16 c) x=17.5 d) x=27.5
Answer: x = 17.5
Step-by-step explanation:
You're using interior angles
Use the law of cosine: c^2 = a^2 +b^2 - 2ab times cos (C)
h^2 = 8^2 + 10^2 - 2(8)(10) times cos (80) so h = 11.67
11.67 over sin (80) = 8 over sin (S) = 10 over sin (T)
sin -1 ((8 times sin (80)) over 11.67) is equal to S
sin -1 ((10 times sin (80)0 over 11.67)) is equal to T
t over sin (T) = s over sin (S)
t = 10 + x
s = 8 + 18 = 22
10 + x over sin (57.54) = 22 over sin (42.45)
x = 22 times sin (57.54) over sin (42.45) and next to this is -10
the answer of x = 17.50
Hope this helps, have a BLESSED and wonderful day! :-)
-Cutiepatutie <3
The graph below represents which system of inequalities?
Option A
y > 2x − 3
y > −x − 3
Option B
y < 2x − 2
y < −x + 3
Option C
y ≤ 2x − 2
y > −x + 3
Option D
None of the above
An equation is shown below:
5(2x − 3) = 5
Part A: How many solutions does this equation have? (4 points)
Part B: What are the solutions to this equation? Show your work.
A) This equation has only one solution. B) The solution would be x = 2.
How to find the solution to the given system of equation?For that ,we will try solving it first using the method of substitution in which we express one variable in other variable's form and then you can substitute this value in other equation to get linear equation in one variable.
If there comes a = a situation for any a, then there are infinite solutions.
Given equation is 5(2x − 3) = 5
By solving further,
10x -15 = 5
10x = 20
x = 2
A) This equation has only one solution.
B) The solution would be x = 2
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PLESE HELP FAST!!!!!! WILL GIVE BRAINLIEST!!!! I NEED HELP ASAP!!
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r. Jones took a survey of college students and found that 60 out of 65 students are liberal arts majors. If a college has 8,943 students, what is the expected number of students who are liberal arts majors?
Here, we need to calculate the expected number of students who are liberal arts major.
It is given that, 60 out of 65 students are liberal arts major.
So, we will calculate the percentage of liberal arts major from the total.
Percentage of liberal arts major = [tex] \frac{Number of liberal arts major}{Total students} [/tex] X 100
Percentage of liberal arts major = [tex] \frac{60}{65} [/tex] X 100
Percentage of liberal arts major = 92.31 %
Now, we will calculate for 8,943 liberal arts majors -
In total students of 8,943, liberal arts majors = 92.31 % X 8,943
In total students of 8,943, liberal arts majors =8,256 students (approximately)
Which of the following best describes the symmetry of a trapezoid? Select all that apply.
a) point
b) line
c) plane
d) rotational
Answer: A.) Point.
Step-by-step explanation:
A company is deciding which box to use for their merchandise. The first box measures 8 inches wide, 6.25 inches long, and 10.5 inches high. The second box measures 9 inches wide, 5.5 inches long, and 11.5 inches high. What is the separate surface areas of both boxes?
There are 16 pink jelly beans in a bag. The ratio of red to pink jelly beans in the bag is 3/4. Which proportion could NOT be used to find r, the number of red jelly beans in the bag
What is likely to happen if a new aggregate demand curve moves to the right?
Answer:
Prices and output would rise, and the equilibrium point will change.
<3
A bag contains a total of 25 marbles. Five of the marbles are blue, 3 are red, 8 are green, and 9 are white. If a marble is drawn from the bag and then replaced 50 times, about how many times would a green marble be drawn?
A. 4
B. 8
C. 16
D. 24
Need help with this one
at the pet shelter,for every 7 dogs there are 5 cats.what is the ratio of dogs to cats?
a.5:7
b.7:5
c.7:12
d.12:7
Examine the system of equations. y = –3x – 2, y = 7 The value of x is . The solution to this system of equations is .
The value of x is -3 and the solution to this system of equations is (-3 , 7).
When a number of variables are involved, the system of equation is generated. The system of equation has been the set of simultaneous equations as well.
Given :
[tex]y = -3x-2[/tex] ---- (1)
[tex]y=7[/tex] ----- (2)
Solution :
From, equation (1) and (2) we get the value of x to be:
[tex]7=-3x-2[/tex]
[tex]9=-3x[/tex]
[tex]x=-3[/tex]
Therefore, the value of x is -3.
For more information, refer the link given below
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Some students in a school were surveyed to determine how many hours they study per night and their grade-point averages. The results are shown in the table.
If the data are entered into a regression calculator, what is the approximate y-intercept of the resulting regression line?
–1.76
–0.63
0.63
1.76
The Smith family has a two-and-a-half-foot-long sandwich to share. One-half foot of the sandwich will serve one person. How many one-half foot servings are in this sandwich?
PLEASE help!!! what is 4y + 12x= 24 in y intercept form????
A circular plate has circumference 21.4 inches. What is the area of this plate? Use 3.14 for pi.
Given a circle with a circumference of 21.4 inches, first calculate the radius using the circumference formula, then use the radius to calculate the circle's area, which results in approximately 36.29 square inches.
Explanation:This question involves determining the area of a circle given its circumference. The formula to calculate the circumference of a circle is C = 2πr, where C is the circumference, r is the radius, and π is a constant (approximated to 3.14). Given that the circumference is 21.4 inches, we can rearrange this formula to find the radius (r = C/2π), giving us a radius of approximately 3.4 inches.
Now, knowing the radius, we can use it to find the area using the formula for the area of a circle, which is A = πr². Plugging in the values, we find that the area is approximately 36.29 square inches.
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brainliest FOR WHO HELP ME a spherical mini donut hole has a diameter of 6 centimeters. A large spherical donut hole has a diameter of 9 centimeters. Approximately how much greater is the volume of a large donut hole than the volume of a mini donut hole?
86 cm³
113 cm³
226 cm³
268 cm³
Jill has a balance of $5,000 on her credit card with an annual interest rate of 15%. To pay off the $5,000 in three years, Jill will have to make a minimum payment of $173.33 per month. To pay off the $5,000 in five years, Jill will have to make a minimum payment of $118.95 per month. How much more does Jill have to pay when the length of the loan changes from 3 years to 5 years? A) $1,239.88 B) $1,957.68 C) $2,137.00 D) $897.12
Answer:
The answer is D) $897.12
Step-by-step explanation:
3 years = 36 months
173.33 * 36 = 6239.88
5 years = 60 months
118.95 * 60 = 7137.00
7137.00 - 6239.88 = 897.12
William gave 4 football cards to each of the 6 friends.Suppose he had 54 cards left. Write and solve an equation to find how many cards each friend a initially had.
the greatest common factor gcf of 2 monomiald is 3x^2y. One of the monomials is 3x^4y . Which couod be the other monomial.
The other monomial must have the factors of 3x^2y, with the possibility of having higher powers of y, but not lower, as this would change the GCF. An example of a compatible monomial with 3x^4y is 3x^2y^2.
Explanation:The question is asking for the other monomial given that the greatest common factor (GCF) of two monomials is 3x^2y and one of the monomials is 3x^4y. Since the GCF is the product of the lowest powers of common factors in the monomials, the other monomial must have at least the factors 3, x^2, and y to a certain power. It can have these factors to higher powers as well, but not to lower powers, since it would then alter the GCF.
An example of another monomial that could be paired with 3x^4y is 3x^2y^2, because it has the factors of the given GCF with potentially higher powers, without affecting the GCF. Therefore, any monomial of the form 3x^2y^n (where n is greater than or equal to 1) could be the other monomial.
Please answer the picture.
An ice cream cone has a diameter of 2 inches and a height of 5 inches. What is the volume of the ice cream cone? Round your answer to the nearest hundredth. (Use 3.14 for π.)
10.47 in.3
20.93 in.3
5.23 in.3
15.7 in.3
Determine the factors of ax + ab + 2by + 2xy.
Answer: (x+b) (a+2y)
Step-by-step explanation:
ax+ab+2by+2xy
split the equatuion in half
1. ax+ab 2. 2by+2xy
gcf=a gcf=2y
ax/a=x 2by/2y= b
ab/a=b 2xy/2y= x
a(x+b) 2y(x+b)
Answer :(x+b)(a+2y)