Use geometry words to describe a way to separate triangles into other triangles?
Answers
Let us suppose we have a triangle ABC as shown in the attached image.
Now, let us we draw a perpendicular line from the vertex A to the base BC. Let the line meets the base BC at D.
Then, this perpendicular line AD will separate the triangle ABC into two right angle triangle ADB and triangle ADC.
Related Questions
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
Answers
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)
What is likely to happen if a new aggregate demand curve moves to the right?
Answers
Answer:
Prices and output would rise, and the equilibrium point will change.
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A circular plate has circumference 21.4 inches. What is the area of this plate? Use 3.14 for pi.
Answers
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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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?
Answers
(price of FB)x+(price of CB)x=4.12
Determine the factors of ax + ab + 2by + 2xy.
Answers
=a(x+b) + 2y(x+b) =(x+b)(a+2y)
ax + ab + 2by + 2xy = (x+b)(a+2y)
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)
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
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The equation is in slope intercept form y = mx+b
m = slope = 0.628
b = y intercept = 1.759
The value 1.759 rounds to 1.76 which is the answer
:)
Solve for x.
a) x=7.5 b) x=16 c) x=17.5 d) x=27.5
Answers
Note: This is done in the interior triangle as the angle will be equivalent to the other two angles.
Here's how you solve it:
You have to use the law of cosine for the interior triangle; the law of cosine is: c^2 = a^2 +b^2 - 2ab times cos (C)
Substitute each factor so that the equation now appears as so:
h^2 = 8^2 + 10^2 - 2(8)(10) times cos (80)
This will give you: h = 11.67
Now, you have to apply this to the law of sin which is a over sin(A) = b over sin (B) = c over sin (C). (Lowercase letters are the opposite side of uppercase angles.)
This will then give you:
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
Because you now know the angles of S and T, you need to use the law of sin again.
t over sin (T) = s over sin (S)
t = 10 + x
s = 8 + 18 = 22
Thus, you need to substitute the variables to get this equation:
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
Thus, getting the answer of x = 17.50
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! :-)
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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
Answers
4/3 *3.14*3^3-Mini Donut
Then Subtract the greater answer from the smaller one.
Find P(C|Y) from the information in the table.
To the nearest tenth, P(C|Y) =
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[tex]\mathbb P(C\mid Y)=\dfrac{\mathbb P(C\cap Y)}{\mathbb P(Y)}[/tex]
and by the law of total probability,
[tex]\mathbb P(Y)=\mathbb P(Y\cap A)+\mathbb P(Y\cap B)+\mathbb P(Y\cap C)[/tex]
In other words, each cell in the grid left of and above the total column and row represents the joint probabilities (e.g. [tex]\mathbb P(X\cap A)=\dfrac{32}{146}[/tex]). So,
[tex]\mathbb P(C\mid Y)=\dfrac{15}{30}=\dfrac12=0.5[/tex]
Answer:0.5
Step-by-step explanation:
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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?
Answers
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)
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
Answers
Let
r----------> the number of red jelly beans in the bag
p---------> the number of pink jelly beans in the bag
we know that
r/p=3/4
p=16
so
r/p=3/4--------> r/16=3/4-----> r=(3/4)*16-----> r=12
therefore
case A) 3/4=r/16-----> is correct, the proportion could be used to find r
case B) 16/r=4/3----> r=16/(4/3)----> r=16*3/4-----> r=12-----> is correct
the proportion could be used to find r
case C) 3/4=r/16-----> is correct, the proportion could be used to find r
case D) 3/4=r/16-----> is correct, the proportion could be used to find r
the answer is
All proportions could be used to find r
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
Answers
[volume of a cone]=(1/3)*pi*r²*h
for r=2/2---> 1 in
h=5 in
[volume of a cone]=(1/3)*pi*1²*5-----> 5.23 in³
the answer is
5.23 in.3
V = 1/3 x pi x r^2 x h
1/3 x 3.14 x 1^2 x 5
V = 5.2281
The volume is approximately 5.23 cubic inches.
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?
Answers
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.
Need help with this one
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-1 ≥ -8; Multiply both sides by -2
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If the sum of three numbers is 144, what is the average of the three numbers?
Answers
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 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?
Answers
2 1/2 / 1/2
This can simplify into:
5/2 / 1/2
Dividing a fraction is basically multiplying it's flipped side:
5/2 * 2
10/2 = 5
There are 5 servings in the sandwich
Please answer the picture.
Answers
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
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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
Answers
c is what it is
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
Find the slope of the line that passes through each pair of points.
1. (5,2),(3,1)
2.(-7,4),(-5,0)
Answers
2. (0-4)/(-5-7) = (-4)/(-12) = 1/3
To find the slope you’d do the second y-value minus the first y-value over the second x-value minus the first x-value.
the greatest common factor gcf of 2 monomiald is 3x^2y. One of the monomials is 3x^4y . Which couod be the other monomial.
Answers
The reason this has to be is because of the GCF. Since 3 is part of the GCF, and the other monomial has a coefficient of 3, this means the missing monomial must be divisible by 3 as well.
Since x² is part of the GCF, the missing monomial must contain x². However, if it were to contain x³ or anything larger, the GCF would have x with a higher exponent.
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.
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
Answers
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.
Answers
10x = 20
x = 2
This equation has one solution.
The solution would be x = 2
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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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?
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Written as a percent , what is the probability of getting an odd number on a spinner with 5 equal parts numbered 1 to 5
Answers
The probability of getting an odd number on a spinner with 5 equal parts numbered 1 to 5 is, 60%
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
We have to given that;
To find the probability of getting an odd number on a spinner with 5 equal parts numbered 1 to 5.
Since, From 1 to 5, there are three numbers 1, 3, 5 are odd numbers.
Hence, the probability of getting an odd number on a spinner with 5 equal parts numbered 1 to 5 is,
P = 3/5
Change into percent as;
P = 3/5 x 100%
P = 60%
Thus, the probability of getting an odd number on a spinner with 5 equal parts numbered 1 to 5 is, 60%
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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.
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T = 6(4) + 54
William had 78 at the start
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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
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Which of the following best describes the symmetry of a trapezoid? Select all that apply.
a) point
b) line
c) plane
d) rotational
Answers
Answer: A.) Point.
Step-by-step explanation:
Examine the system of equations. y = –3x – 2, y = 7 The value of x is . The solution to this system of equations is .
Answers
You can substitute y into the other equation
7 = -3x - 2
Add 2 to both sides
9 = -3x
Divide both sides by -3
-3 = x
The answer is -3
Hope this helps!
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.
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