Answer:
C: the right triangle altitude theorem
Step-by-step explanation:
In proof of the Pythagorean theorem using similarity, the right triangle altitude theorem allows us to state that the triangles are similar.
What is geometric mean(altitude) theorem?We know that the geometric mean (altitude) theorem states that the altitude is equal to the geometric mean of the two segments.
We know that the geometric mean (leg) theorem states that a leg is the geometric mean between the hypotenuse and the leg's projection on it in every right triangle.
We know that the right triangle altitude theorem states that If we draw an altitude in a right triangle from the vertex which contains the right angle to the opposite side, the triangles on both sides of the altitude are congruent, and the entire triangle is congruent as a result.
We know that the SSS theorem If the three sides of one triangle are equal to the three sides of the other, then the two triangles are congruent.
How to tackle the problem?Here, we have to find the specific theorem which demonstrates the equality of proportionate values in the Pythagorean theorem. From the above theorems, we can conclude that our required theorem is the right triangle altitude theorem.
Therefore In proof of the Pythagorean theorem using similarity, the right triangle altitude theorem allows us to state that the triangles are similar. So, option C is correct.
Learn more about the right triangle altitude theorem here -
https://brainly.com/question/4470400
#SPJ2
boys:total students = 2:9, girls = 21, boys =
Answer:
6 boys
Step-by-step explanation:
Subtract to find the total number of girls.
9 - 2 = 7 girls
Write a ratio from boys to girls.
2:7
Divide to find the scale factor.
21 / 7 = 3
Multiply to find the total number of boys.
3 * 2 = 6
Best of Luck!
There are 210 calories in a 12 ounce drink if Katie drinks 5 ounces how many calories did she drink
Answer:
she drank a total of 87.5 calories
Step-by-step explanation:
you divide 210 by 12, and multiply by 5! :)
Answer:
87.5
Step-by-step explanation:
calories per oz is 210/12=17.5 then 5x17.5=87.5
Can y’all answer the middle one Ill mark you brainlist.
Answer:
4.44 infinet
Step-by-step explanation:
If you are asking and need to round it up it will come up to
4.444
You need to round it up because the 4.444 goes on and on infinitely.
If you needed another answer comment what it is you need and I will answer you on there.
YW
Sorry Guys, Angle 12 & 10 are effectively corresponding angles, but angle 10 & 7 are alternate interior angles. Anyways, Angle 12 & 10 are congruent and 10 & 7 are congruent. At the end, the three angles 12, 10, and 7 have the same measure. If we put it otherwise, the line B is intersecting line D which form right angles equals to 90 degrees, so angle 12 = 90, and the same happens with angle 10 and 7, so the three angles are congruent, but at the same time, angle 7 is supplementary with angle 12 because their sum is equal to 180, (90 + 90 = 180). If you think from different angles is hard to choose the right answer, so what I guess is that we don't need to take into account the angle 10, just the fact that line A intersect line C, and Line B intersect line D forming right angles, and that angle 7 and 12 are right angles which sum equals 180, therefore, we could say that they are supplementary angles, but also congruent because they measure the same, so at the end, I don't know what answer to choose. Both seems correct to me.
Answer:
d
Step-by-step explanation:Angle 12 & 10 are effectively corresponding angles, but angle 10 & 7 are alternate interior angles. Anyways, Angle 12 & 10 are congruent and 10 & 7 are congruent. At the end, the three angles 12, 10, and 7 have the same measure. If we put it otherwise, the line B is intersecting line D which form right angles equals to 90 degrees, so angle 12 = 90, and the same happens with angle 10 and 7, so the three angles are congruent, but at the same time, angle 7 is supplementary with angle 12 because their sum is equal to 180, (90 + 90 = 180). If you think from different angles is hard to choose the right answer, so what I guess is that we don't need to take into account the angle 10, just the fact that line A intersect line C, and Line B intersect line D forming right angles, and that angle 7 and 12 are right angles which sum equals 180, therefore, we could say that they are supplementary angles, but also congruent because they measure the same, so at the end,
According to Newton's 1st law of motion, . . . . .
A . for every action, there is an equal and opposite reaction.
B . force = mass * acceleration
C . an object will remain at rest unless an external force acts upon it.
Answer:
C
Step-by-step explanation:
Answer:
I believe it is C. I am not 100% sure but I do believe I am right
About 4 out of every 5 people are right-handed. If there are 30 students in a class, how many would you expect to be right-handed? How many to be left-handed?
Answer:
You would expect 24 right handed and 6 left handed
Step-by-step explanation:]
5 x 6 =30
Tell whether the angles are complementary or supplementary. Then find the value of x
Answer:
Complementary, x=78
Step-by-step explanation:
90= (x-8)+20
complementary angles add up to 90 degrees.
Answer:
Complementary, x is 78
Step-by-step explanation:
Let's first define what complementary and supplementary angles are. Complementary angles add up to 90 degrees, and supplementary add up to 180. From this image, we can see that this is a right angle. Right angles add up to 90 degrees, therefore, this is a complementary angle.
Now, because we know that it is 90 degrees and that (x-8)+(20) = 90, then we can solve for x. However, if the angle is unknown, then we would do x-8=20. In this case, sense we know for sure this angle is complementary, we do
(x-8)+(20) = 90
X+12=90 We combined like terms
X=78 Inverse operations
You can plug 78 into x and check to see if it is correct if they are 90 degrees total.
What is the equation of a line that passes through the point (3, 11) and is parallel to the line y=2x-4
Answer:
The answer should be y=2x+5
If (he)={(0,1),(2,3),(-4,1)}, find h^-1(x)
The given function is
[tex]h(x) = \{ (0,1), (2,3), (-4, 1) \}[/tex]
The inverse function is
[tex]h^{-1}(x) = \{ (1,0), (3,2), (1,-4)\}[/tex]
To get the inverse, we swap each x and y coordinate.
The rule is [tex](x,y) \to (y,x)[/tex]
So that's why the point (0,1) becomes (1,0) for instance.
Whoever answers this gets brainlist!
Answer: 5^5.
Step-by-step explanation: Using the equation x^a*x^b = x^(a+b), we find that 5^2*5^3 is equal to 5^5.
What is an expression equivalent to 5x+10 using the distributive property?
Answer:
5x + 10
Step-by-step explanation:
I did the math and checked. :)
Which expression could be used to represent the following situation? A hiker is moving down a mountain 24 feet every
hour for 3 hours
A 3 x 24
B- 3 x 24
C-24 x 3
D-24 x -3
Answer:
A
Step-by-step explanation:
A pool drains 5000 gallons of water over the course of 5 hours. How many gallons of water, on average, does the pool drain each hour?
A. -5000 gallons per hour
B. -1000 gallons per hour
C. -100 gallons per hour
D. 1000 gallons per hour
Answer:
D. 1000 gallons per hour
Step-by-step explanation:
5000 / 5 = 1000
Answer: If it drained 5000 gallons and there were 5 hours, then 5000 divided by 5 is 1 so that would be answer D.
Hoped this helped!
A housepainter mixed 5 gal of blue paint with every 9 gal of yellow paint I order to make green paint.Which ratio of gallons of blue paint to gallons of yellow paint green will make the same shade of green paint
Answer:
10:18 10 gal of blue paint and 18 gal of yellow paint.
Step-by-step explanation:
Answer:
i'm going to guess either 5:9 or 9:5...
Step-by-step explanation:
Help please please please
r−5r−6s+8s−15 what is the answer for this equation
Step-by-step explanation:
r-5r-6s+8s-15
-4r+2s-15
= 2s-4r-15
The simplified form of the given expression is -4r+2s-15.
The given expression is r-5r-6s+8s-15.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
The given expression can be solved as follows:
r-5r-6s+8s-15
= -4r+2s-15
Therefore, the simplified form of the given expression is -4r+2s-15.
To learn more about an expression visit;
https://brainly.com/question/28170201.
#SPJ2
Hi I'm struggling with this equation 1/2 * (- 4 + 12) + 3(1/3 * x + 6) = 3/4 * (- 16x + 8) and need help
Answer:
im not sour if this is what you want but i got 1.3 repeating
Step-by-step explanation:
u simplify in ur head
(7 points) Simplify to create an equivalent expression.{-4(z+3)-4(5-4z)
Answer : 12z - 32
Explaination:
Uhhh yeah math?
Find the distance between the two numbers on a number line −7,−323
Answer:
-316
Step-by-step explanation:
...................
Select all intervals in which the function P(t) is decreasing
Answer:
we conclude that the intervals in which the function P(t) is decreasing are:
x < 13 < x < 4Step-by-step explanation:
At x< 1, the function P(t) is decreasing
A function p is an increasing function on an open interval if f(y) > f(x) for any two input values x and y in the given interval where y>xA function p is a decreasing function on an open interval if f(y) > f(x) for any two input values x and y in the given interval where y>xFrom the figure, it is clear that the function seems to be increasing
from (1, 3) and then 4 to onwards.
But it is clear that the function seems to be decreasing from the x < 1 and from the interval (3, 4).
Therefore, we conclude that the intervals in which the function P(t) is decreasing are:
x < 13 < x < 4Solve two sevenths plus seven fourteenths
Answer:
Eleven Fourteenths
Step-by-step explanation:
Convert 2/7 into 4/14 to get a common denominator then add 4 and 7 to get 11/14
Answer:
c
Step-by-step explanation:
i took the test
where n 2 1
OS – On -3
1-
Mn
(
01'0
-
1
)
=
"
n
Given C is the midpoint of BD.
Prove: AACB AACD
Reasons
Statements
1. C is the midpoint of BD
1. given
A
2. BC e CD
2.
3. AC e AC
3. reflexive property
4. given
B
С
4.2BCA and 2DCA
are right 25
5.
D
5. all rights are
Complete the two-column proof.
6. AACB = AACD
6. SAS
Answer:definition of midpoint, angle BCA is congruent to angle DCA
The triangles ΔABC and ΔADC are congruent triangles by
a) definition of mid-point
b) measure of ∠ACB = measure of ∠ACD = 90°
What are Congruent Triangles?Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape
The three sides are equal (SSS: side, side, side)
Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)
Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)
A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)
Given data ,
Let the first triangle be represented as ΔABC
Let the second triangle be represented as ΔADC
Now , the side AC is the common bisector of both the triangles such that
C is the midpoint of BD
So , the measure of side BC = measure of side CD
And , the perpendicular bisector is right angle
So , the measure of ∠ACB = measure of ∠ACD = 90°
And , the measure of AC = measure of AC ( reflexive property )
Therefore , the triangles are congruent by SAS theorem
Hence , the triangles are congruent
To learn more about congruent triangles click :
https://brainly.com/question/26131452
#SPJ5
538 = ? hundred + ? tens + ? ones
What is the answer?
(I am doing this cause my friend won't stop saying that 8 is in the tens
Answer:
500 (or 5) is in the hundreds place, 30 (or 3) is in the tens place, and 8 is in the ones place.
Step-by-step explanation:
500 is five-hundred, 30 is a ten (10, 20, 30, 40...), and 8 is a one because it is a single digit number and no other numbers come before it, unless it is a decimal.
A pet shelter maintains a ratio of 5 cats to 8 dogs. If there are 117 total animals in the shelter, how many are dogs? Set up and solve a proportion.
Butter is packed in 250g packs. What will
the moss, in pounds of a pack of butter?
Answer:
loss=54-52.5
Step-by-step explanation:
=1.5Rs
loss%=loss/CP×100
=1.5/54×100
2.78%
PLZ MARK AS BRAINLIST
Is is 24, 15, 23 or 33
Answer:
33
Step-by-step explanation:
Solve the proportion for x
Answer:
x = 1
Step-by-step explanation:
x / 5 = 5 / 25,
Divide the denominators bigger one to smaller one, then that is the numerator for the larger fraction.
do 5 divided by 5 which is 1
Or a more simple way,
1/5 = 5/25 multiply 1/5 by 5 top and bottom which gets 5 / 25
Answer:
x = 1
Step-by-step explanation:
Step 1: Cross-multiply
x*(25) = (5)*(5)
Step 2: Divide both sides by 25.
Answer is 1
3 How are part-to-part ratios different from part-to-whole ratios?
Ratios can be divided into part-to-part ratios and part-to-whole ratios. Part-to-part ratios provide the relationship between two distinct groups
What is the slope-intercept equation of the line below?
Answer:
the answer is C hope this helps
