Step-by-step explanation:
yx = k, where k is a real constant.
When y = 30, x = 3.
=> k = (30)(3) = 90.
Hence when y = 6, x = k/y = (90)/(6) = 15.
Please help it’s so important
Given:
In [tex]\Delta ABC, \overline{CA}=\overline{CB}[/tex].
[tex]\overline{CD}[/tex] is an altitude drawn from C to [tex]\overline{AB}[/tex].
To prove:
[tex]\overline{CD}[/tex] bisects [tex]\overline{AB}[/tex].
Proof:
In [tex]\Delta ABC[/tex], [tex]\overline{CD}[/tex] is an altitude drawn from C to [tex]\overline{AB}[/tex].
It means, [tex]\Delta ACD\text{ and }\Delta BCD[/tex] are right angle triangles.
In [tex]\Delta ACD\text{ and }\Delta BCD[/tex],
Hypotenuse : [tex]\overline{CA}=\overline{CB}[/tex] [Given]
Leg : [tex]\overline{CD}=\overline{CD}[/tex] [Common]
If the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then by HL postulate both triangles are congruent.
[tex]\Delta ACD\cong \Delta BCD[/tex] [HL postulate]
[tex]\overline{AD}\cong \overline{BD}[/tex] [CPCTC]
[tex]\overline{AD}=\overline{BD}[/tex]
It means, point D is the midpoint of [tex]\overline{AB}[/tex].
So, [tex]\overline{CD}[/tex] bisects [tex]\overline{AB}[/tex].
Hence proved.
Lisa solved the equation x + 6 = 8 + 7x and claimed that the solution is X=-6. Is she
correct? Explain.
Answer:
she is wrong x would be -1/3
Step-by-step explanation:
-6x - 2 = 0
x = -2/6 which is equal to -1/3
Peter wanted to leave a 15% tip. He thought to himself that 15% = 10% plus half of 10%. Which of the following equations will help Peter estimate the 15% tip on a $48.00 bill correctly?
A. $4.80 + $2.40 = $7.20
B. $4.80 + $4.80 = $9.60
C. $4.80 + $0.48 = $5.28
D. $2.40 + $2.40 = $4.80
Answer:
A. $4.80 + $2.40 = $7.20
Step-by-step explanation:
10% is the same as 10/100 or 1/10. To find 10% of a number, move the decimal point one place to the left.
10% of $48 is $4.80
Now he needs 5% of $48 which is half of 10% of $48, so 5% of $48 is $2.40.
$4.80 + $2.40 = $7.20
Answer: A. $4.80 + $2.40 = $7.20
A puzzle box has a height of 27 centimeters. It has a base with an area of 220 square centimeters. What is the volume, in cubic centimeters, of the puzzle box?
Answer:
5940 cm^3
Step-by-step explanation:
Step one:
given data
Height = 27 cm^3
Area= 220 cm^2
Required
the volume of the box
Step two:
the expression for volume is
V= Area* height
v= 220*27
V= 5940 cm^3
PLEASE I NEED HELP
estimate the sum of 945 + 537 + 617 by rounding each number to the nearest hundred
Answer:
Around 2080
Step-by-step explanation:
Answer is: 2000
Step-by-step explanation:
945 rounds to 900
537 rounds to 500
617 rounds to 600
Add them up to get 2000
Draw a quadrilateral that is similar (but not congruent) to the one given below. Measure and label all sides and angles of quadrilaterals and ′′′′. Write a similarity statement.
Answer:
draw the same shape but multiply all the sizes to be bigger or smaller
qwesdddddddfffffffggggggggggggggggggggggggggggggggggggggg
Answer:
Step-by-step explanation:
kjiuhytresdzxiu8y765re4rsdxfbhgytfyrdeswaszxdfcg
On Monday, Aisha spent 5/6 of an hour practicing the violin. On Tuesday, she practiced for 2/3 of an hour. Which equation shows correctly how much longer she practiced on Monday than on Tuesday?. Single choice.
Answer:
1/6
Step-by-step explanation:
5/6 - 4/6 = 1/6
a card is picked at random
from a pack of 52 playing
cards. what is the probobility
of selecting a spade
Answer:
1/4
Step-by-step explanation:
the probability of selecting a spade: 14/52 = 1/4
PLS help its about Triangles Thank you!!!
Solve the following equation algebraically:
x2 = 12
a. 3.46
b. -6,6
c.-3.86, 3.86
d. -3.46, 3.46
Answer:
D. -3.86,3.86
Step-by-step explanation:
I calculated logically
Which statement is correct?
1. The range of the graph is all real numbers less than
or equal to 0.
2. The domain of the graph is all real numbers less
than or equal to 0.
3. The domain and range of the graph are the same.
4. The range of the graph is all real numbers.
LOOK BELOW PLEASE AM MARKING BAINLIST PLEASE GUYS
Answer:
C) 10
Step-by-step explanation:
hope it helps youuuuuu
Answer:
i got c) 10
Step-by-step explanation:
(11^2-9^2)*(1/2)^2
(121-81)
40*(1/2)^2
40*0.25
10
vwala can i have brainliest?
Does anyone know the answer to this¿?¿
Jack can make 3 cups of croutons from
5 slices of bread. How many cups of
croutons can he make from 35 slices of
bread?
Answer:
there are 7 fives in 35
and each 5 slices makes 3 cups
so,,7×3=21 cups
Answer:
21 cups
Step-by-step explanation:
A certain insecticide kills 60% of all insects in laboratory experiments. A sample of 12 insects is exposed to the insecticide in a particular experiment. What is the probability that exactly 10 insects will die
Answer:
The probability that exactly 10 insects will die
P( X = 10 ) = 0.06385
Step-by-step explanation:
Step(i):-
Given a certain insecticide kills 60% of all insects in laboratory experiments
Given proportion p = 0.60
q = 1 - 0.60 = 0.40
Given sample size 'n' = 12
Step(ii):-
Let "X' be the random variable of binomial distribution
[tex]P(X=r) = n_{C_{r} } p^{r} q^{n-r}[/tex]
The probability that exactly 10 insects will die
[tex]P(X=10) = 12_{C_{10} } (0.60)^{10} (0.40)^{12-10}[/tex]
[tex]n_{C_{r} } = \frac{n!}{(n-r)!r!} = \frac{12!}{(12-10)!10!} = 66[/tex]
[tex]P(X=10) = 66 X (0.60)^{10} (0.40)^{2} = 0.06385[/tex]
Final answer:-
The probability that exactly 10 insects will die
P( X = 10 ) = 0.06385
Consider the expressions (3m+2n−6) and (−4−6m+7n). What is the sum of the expressions for n = -2 and m = 5?
Answer:
The answer would be 28 becasue if you divide th right number by the m substitue that for the number 97
The sum of the expressions for n = -2 and m = 5 is -43
What is a expression? What is a mathematical equation?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.We have the following expressions (3m + 2n − 6) and (− 4 − 6m + 7n).
We can write the sum of the expression as -
(3m + 2n − 6) + (− 4 − 6m + 7n)
3m + 2n - 6 - 4 - 6m + 7n
3m - 6m + 2n + 7n - 6 - 4
- 3m + 9n - 10
At n = - 2 and m = 5, we get -
(- 3 x 5 + 9 x -2 - 10)
- 15 - 18 - 10
- 43
Therefore, the sum of the expressions for n = -2 and m = 5 is -43.
To solve more questions on Equations, Equation Modelling and Expressions visit the link below -
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The admission fee to an amusement park is $21. It costs an additional p dollars to rent a locker to hold your
belongings. The total cost for 5 people to enter the amusement park and each rent a locker is $130. How
much does it cost for one person to rent a locker?
A. $7
B. $2
C. $5
D. $26
Answer:
26
Step-by-step explanation:
A dog is starting a diet to get in better shape. The
dog starts at 89.5 pounds and loses 0.5 pounds
each week for a certain number of weeks. Halfway
through the diet, the dog weighs 80 pounds. How
many weeks has the dog been dieting for?
Answer:
18.5 days
Step-by-step explanation:
Count by two's on your fingers until you have nine fingers up, and that equals 9 x 2 = 18, plus that .5 eqauls 18.5 days.
The dog has been dieting for 19 weeks.
What is unitary method?
The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
According to the given problem,
Starting weight of the dog = 89.5 pounds
Halfway weight of the dog = 80 pounds
Weight the dog loses per week = 0.5 pounds
Weight loss = (89.5 - 80) pounds
= 9.5 pounds
If the dog loses 0.5 pounds in 1 week,
Then the dog will lose 9.5 pounds in (9.5 × 2) weeks
⇒ The dog will lose 9.5 pounds in 19 weeks.
Hence, we can conclude that the dog has week dieting for 19 weeks and lost 9.5 pounds.
Learn more about unitary method here:
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2x/3- y +7; x = 9, y=4
Answer:
-5
Step-by-step explanation:
2×9/3 - (4+7)
18/3 -11
18/3 - 33/3
-15/3
-5
Answer:
9
Step-by-step explanation:
2x/3- y +7; x = 9, y=4
plug in the numbers
2(9)/3-(4)+7
simplify 2(9)/3
2 • 9=18
18/3=6
6-4+7
6-4= 2
2+7=9
Select the interval where h is positive.
Pleaseee HELP
b
Step-by-step explanation:
Answer:
2<x<3
Step-by-step explanation:
I did it on khan
6 times 7 is 42 6 times 5 is 30 if that's any help please help me out.
6 * 5 = 30
42 - 30 = 12
? * 2 = 12
? = 6
the Pythagorean theorem
please help answer all the questions
Answer:
Step-by-step explanation:
A.)
[tex]a^{2} + b^{2} = c^{2}[/tex]
[tex]16^{2} +20^{2}= c^{2}[/tex]
256 + 400 = [tex]c^{2}[/tex]
656 = [tex]c^{2}[/tex]
25.6 = c
__________________________________________________________
B.)
[tex]a^{2} + b^{2} = c^{2}[/tex]
[tex]25^{2}+ 10^{2} = c^{2}[/tex]
625 + 100 = [tex]c^{2}[/tex]
725 = [tex]c^{2}[/tex]
26.9 = c
__________________________________________________________
C.)
[tex]a^{2} + b^{2} = c^{2}[/tex]
[tex]12^{2} +10^{2}= c^{2}[/tex]
144 + 100 = [tex]c^{2}[/tex]
244 = [tex]c^{2}[/tex]
15.6 = c
__________________________________________________________
D.)
[tex]a^{2} + b^{2} = c^{2}[/tex]
[tex]26^{2}+ 24^{2} =c^{2}[/tex]
676 + 576 = [tex]c^{2}[/tex]
1,252 = [tex]c^{2}[/tex]
35.4
__________________________________________________________
Sry it takes a lot of time to put in these equations and all that
Hope it helped!
Behind you there is a sneeze. You don't know it at the time, but this begins a chain reaction of flu that ripples through the school
It starts with only 20 students but the number infected grows every day at a rate of 10% How many people are infected at day 24.
Answer:
how bad do u need this answer 1 through 10
Which questions result in data that is categorical? Check all that apply.
Is your job as an IT administrator stressful?
What is your biggest source of stress?
How has your job impacted your personal life?
In the past week, how many hours of overtime did you work?
Have you ever considered switching careers because of on-the-job stress?
Answer:
The answer is 1,2,3, and 5
Step-by-step explanation:
The person above me answered it correctly, I basically just copied and pasted it onto here :)
Options A and E are categorical.
Is your job as an IT administrator stressful?
Have you ever considered switching careers because of on-the-job stress?
Given,
- Is your job as an IT administrator stressful?
- What is your biggest source of stress?
- How has your job impacted your personal life?
- In the past week, how many hours of overtime did you work?
- Have you ever considered switching careers because of on-the-job stress?
We need to find which options are categorical.
What are categorical data?The data that can be divided into groups are called categorical data.
Example:
People who know how to drive and who don't know how to drive.
We can have two groups here.
Yes and No.
Find which of the following are categorical.
- Is your job as an IT administrator stressful?
We can have two groups:
Yes and No.
It is categorical data.
- What is your biggest source of stress?
We can have different answers which can not be categorized into groups.
It is not categorical data.
- How has your job impacted your personal life?
Everyone will have different answers so it is not categorical data.
- In the past week, how many hours of overtime did you work?
Everyone will have a different answer so we can not make groups.
It is not categorical data.
- Have you ever considered switching careers because of on-the-job stress?
We can have answers as yes and no so we can make two groups
It is categorical data.
Thus Options A and E are categorical.
Is your job as an IT administrator stressful?
Have you ever considered switching careers because of on-the-job stress?
Learn more about categorical data here:
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Simplify the following:
a. (x5)(x8) =
b. k9/k2 =
c. (w6)3 =
d. (53)(54) =
Answer:
a. (x⁵)(x⁸)
[tex] {x}^{5 + 8} [/tex]
[tex] {x}^{13} [/tex]
b. k9/k2
[tex]k {}^{9 - 2} [/tex]
[tex] {k}^{7} [/tex]
c. (w⁶)³
[tex] {w}^{6 \times 3} [/tex]
[tex] {w}^{18} [/tex]
d. (53)(54)
[tex]53 \times 54 = 2862[/tex]
Andy was scuba diving while his friend Ramon was climbing a mountain. If Andy was at an elevation of -100 feet, and Ramon was at an elevation of 975 feet, what was the difference in elevation (in feet) between Andy and Ramon?
Answer:
1075 feet
Step-by-step explanation:
PLEASE HELP 50 POINTS
Compare the quantity in column A with the quantity in column B. Choose the best answer.
A. The quantity in Column A is greater.
B. The quantity in Column B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the given information.
Answer:
the answer is A
Step-by-step explanation:
Hope this helps!
Answer:
It is B The quantity in Column B is greater.
Step-by-step explanation:
Just took the assessment
how many more pounds do u need to make 5 pounds if u already have 3.85 pounds
Answer:
1.15 pounds
Step-by-step explanation:
5 - 3.85 = 1.15
Answer:
1.15
Step-by-step explanation:
5.00
-3.85
---------
1.15
Hope this helps!