Hello!
So, let's go over some information we know. We know that all the interior angles of a triangle add up to 180 degrees. We know that a line measures 180 degrees. We, therefore, know that angles which make up a line are supplementary, and must add up to 180 degrees.
So, first, we can find angle ABC. We can find this because angle ABC and ABT add up to 180 degrees, and we know the measure of ABT to be 125 degrees. Therefore:
ABC + 125 = 180
ABC = 55 degrees
Now, we can find angle ACB. We can find this as we have angle ABC and CAB, and angle ACB + ABC + CAB = 180 degrees (as they are the three interior angles of triangle ABC). ABC measures 55 degrees, and CAB 60 degrees. Therefore:
55 + 60 + ACB = 180
115 + ACB = 180
ACB = 65 degrees
Finally, we can find angle ACR based off of ACB, as ACB and ACR make up one line, and, therefore, add up to 180 degrees. ACB measures 65 degrees.
ACR + 65 = 180
ACR = 115 degrees
Therefore, your answer is choice 2, or 115 degrees.
Hope this helps!
Answer:
115°
Step-by-step explanation:
m∠ABC = 180° - 125° = 55° (angles in a straight line add up to 180°)
Given that m∠CAB = 60°,
Then m∠ACR = m∠CAB + m∠ABC (exterior angle is equal to the sum of opposite interior angles).
m∠ACR = 60° + 55° = 115°
Select the words that best describe the given
equation Y = x²-1
The x-value squared is 1 less than the y-value.
The x-value minus l is the square of the y-value.
e
The y-value is 1 less than the square of the x-value,
The y-value is 1 minus the square of the x-value.
Answer:
The y-value is 1 less than the square of the x-value,
Step-by-step explanation:
if we follow the letters and convert them into numbers we will get:
y-value=y
1 less than=-1
square of x value=x^2
so
we put the number in order according to the words:
y value=1 less than the square of x
so
y=x^2-1
hope this helps!
The y-value is 1 less than the square of the x-value. The correct option is D.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The given expression is Y = x²-1, then follow the letters and convert them into numbers we will get:
y-value=y
1 less than=-1
square of x value=x^2
Put the number in order according to the words:
Y = x²-1 ↔ y value is 1 less than the square of x
Therefore, the y-value is 1 less than the square of the x-value. The correct option is D.
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will get branliest!!!!!!!
Answer:
It has the same domain as the function [tex]f(x)=-\sqrt{-x}[/tex]
Step-by-step explanation:
we have
[tex]f(x)=\sqrt{-x}[/tex]
we know that
The radicand cannot be a negative number
so
[tex]-x\geq 0[/tex]
Solve for x
Multiply by -1 both sides
[tex]x\leq 0[/tex]
The domain of the given function is the interval ----> (-∞,0]
All real numbers less than or equal to 0
The range of the given function is the interval ----> [0,∞)
All real numbers greater than or equal to zero
Verify each statement
Part 1) It has the same domain as the function [tex]f(x)=-\sqrt{-x}[/tex]
The statement is true
The domain of the function [tex]f(x)=-\sqrt{-x}[/tex] is
the interval ---> (-∞,0]
Part 2) It has the same range as the function [tex]f(x)=-\sqrt{-x}[/tex]
The statement is false
The range of the function [tex]f(x)=-\sqrt{-x}[/tex] is
the interval ---> (-∞,0]
Part 3) It has the same domain as the function [tex]f(x)=-\sqrt{x}[/tex]
The statement is false
The domain of the function [tex]f(x)=-\sqrt{x}[/tex] is
the interval ---> [0,∞)
Part 4) It has the same range as the function [tex]f(x)=-\sqrt{x}[/tex]
The statement is false
The range of the function [tex]f(x)=-\sqrt{x}[/tex] is
the interval ---> (-∞,0]
how do i find the area of this? Please help!
Answer:
Step-by-step explanation:
https://imgur.com/a/Wqzrtem
What part of 3 1/2 is 1/2?
this is for RSM h.w so please help!
Answer:
The fraction.
Step-by-step explanation:
3 [tex]\frac{1}{2}[/tex] is a mixed number, so the 1 over 2 is the fraction of the whole number.
Answer:
1/2 is 1/7 of 3 1/2.
Step-by-step explanation:
That would be 1 / 3 1/2 / 1/2
= 1 / (7/2 / 1/2)
= 1 / (7/2 * 2)
= 1/7.
What’s is .665 as a fraction
Answer:665/1000
Step-by-step explanation:
Writing from 0.665 (decimal) to a fraction, the answer will be 665/1000, but you can simplify this fraction into 133/200 simplified.
Hope this helped!
Nate
3(2x - 2) - r + 3x = 2(7x + 1) – 5x - 9
Answer:
r=1
Step-by-step explanation:
3(2x−2)−r+3x=2(7x+1)−5x−9
Step 1: Add -9x to both sides.
−r+9x−6+−9x=9x−7+−9x
−r−6=−7
Step 2: Add 6 to both sides.
−r−6+6=−7+6
−r=−1
Step 3: Divide both sides by -1.
−r
−1
=
−1
−1
The question is asking to solve for 'r' in the given equation. After simplifying to 9x - 6 - r = 9x -7 and solving for 'r', we find r = 1.
Explanation:The given equation is 3(2x - 2) - r + 3x = 2(7x + 1) – 5x - 9. To solve for 'r', we first simplify both sides of the equation. Distributing on the left side, we obtain 6x - 6 - r + 3x. On the right side we have 14x + 2 - 5x - 9. After simplifying, we obtain 9x - 6 - r = 9x -7. Subtracting 9x from both sides, we have -6 - r = - 7. Finally, solving for 'r', we add 6 to both side to get r = 1
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please help me 20 points
Answer:
I NEED THE UNDERSTANDING OF WHAT DG MEAN
Step-by-step explanation:
to make a cup of potato soup
Answer:
you make potato soup and put it into a cup
Step-by-step explanation:
Answer:
How to make potato cup soup.
1. get potato
2.get cup
3.get water
4. add potato to water
5. mix
6. add salt.
7.mix all of the stuff
8. get the cup
9. add the potato soup to cup
10. eat.
Step-by-step explanation:
irrotional
number I need a example
Irrational numbers are numbers that can not be written as a simple fraction. An example of one would be [tex]\pi[/tex]. Pi is about 3.14, but it goes on forever. You can not write pi as a simple fraction.
PLEASE HELP AND SHOW WORK THANKYOU IN ADVANCE BY A MILLION:))))))
Answer:
C (12+1/2) hours
Step-by-step explanation:
The picture represents the number of hours she spend watching tv for 2 weeks.
One day she watched for 0 hours.
One day she watched for 1/4 hours.
One day she watched for 1/2 hours.
Three days she watched for 3/4 hours.
Three days she watched for 1 hours.
Four days she watched for (1+1/4) hours.
One day she watched for (1+1/2) hours.
-----------------------------------------------------------
So for those two weeks (those 14 days) she watched
0+1/4+1/2+3(3/4)+3(1)+4(1+1/4)+1(1+1/2)
1/4+1/2+9/4+3+[4+1]+[1+1/2]
(1/2+1/2)+(3+4+1+1)+(1/4+9/4)
(1)+(9)+(10/4)
(1+9)+(5/2)
(10)+(5/2)
(20/2)+(5/2)
25/2
(12+1/2)
lisa has played in 6 soccer matches. Her brother josh has played in 18 soccer matches. lisa saay josh has played in 12 times as many matches as she has. Use the drop-down menus to explain why lisa statement is not correct.
Lisa's assertion that Josh has played twelve times as many soccer matches as her is false. In actuality, Josh has played three times as many matches as Lisa.
Explanation:In the scenario, Lisa claims that her brother Josh has played in 12 times as many soccer matches as she has. To verify this statement, we would have to multipy the number of matches Lisa played by 12. Hence, 6 (Lisa's matches) times 12 equals to 72 matches. However, we know from the question that Josh has only played 18 matches. Therefore, Lisa's statement is incorrect because, in reality, Josh has only played three times as many matches as Lisa (18 divided by 6 equals 3), not 12 times as many.
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Lisa's statement is not correct because Josh has played in 3 times as many soccer matches as Lisa.
Explanation:
Lisa's statement is not correct because she says Josh has played in 12 times as many matches as she has, but this is not the case. To determine how many times more matches Josh has played compared to Lisa, we can calculate the ratio of Josh's matches to Lisa's matches.
Josh has played in 18 soccer matches and Lisa has played in 6 soccer matches. To find out how many times more matches Josh has played, we divide Josh's matches by Lisa's matches:
Josh's matches / Lisa's matches = 18 / 6 = 3
So, Josh has played in 3 times as many soccer matches as Lisa. Lisa's correct statement would be that Josh has played in 3 times as many matches as she has.
The probable question can be: content loaded
Lisa has played in 6 soccer matches. Her brother Josh has played in 18 soccer matches. Lisa says Josh has played in 12 times as many matches as she has. Use the drop-down menus to explain why Lisa's statement is not correct. ( Click the arrows to choose an answer from each menu.
Lisa found the number that when _______. Instead, Lisa could have used the equation ________. Josh has played in _______ times as many soccer matches as Lisa.
What Is 5/6 + (-1 1/6)?
The sum of 5/6 and -1 1/6, when understood as fractions, results in the simplified answer of -1/3.
Explanation:To calculate the sum of 5/6 and (-1 1/6), we must first understand the concept of fractions and negative numbers.
5/6 is simply a fraction. The number -1 1/6, however, is a negative mixed number, which consists of an integer (-1) and a fraction (1/6).
We convert this negative mixed number to a simple fraction to make the calculation easier. -1 1/6 becomes -6/6 - 1/6 which equals -7/6.
Now we add the two fractions: 5/6 and -7/6. These two fractions have the same denominator, so we simply add the numerators: 5 + (-7) = -2.
Therefore, 5/6 + (-1 1/6) is equal to -2/6, which simplifies to -1/3.
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write the equation of a line that is parallel to y = - 3/2 x -1 and that passes through the point (4,6)
Answer:
Step-by-step explanation:Given Equation of line has slope m=-3/2
So the line passing through (4,6) has the same slope because both are parallel
From slope intercept form we have
y-y1=m(x-x1)
y-6=-3/2(x-4)
y-6=-3/2x +3/2(4)
y=-3/2x+12
2y=-3x+24
Find the coordinates of the midpoint, S of RT given: R( - 9, - 11) and T( -9, -1).
Answer:
Step-by-step explanation:
the midpoint, S of RT is : ((-9)+(-9) /2 ; ((-11)+(-1))/2)
(-9 ; -6)
find the number described.
The number 44.4 is what percent of 74?
Answer:
60%
Step-by-step explanation:
[tex]percentage = \frac{44.4}{74} \times 100\% = 60\%[/tex]
Answer:
60%
Step-by-step explanation:
In questions like these, we take 74 to be the whole. As such, we express the whole as 100%. Then, we take 44.4 as just a portion of the whole. We therefore ask ourselves, what portion of the whole is 44.4.
We take 44.4 as the numerator and the whole, 74, as the denominator. We then express 44.4 as a fraction of the denominator. That is,
44.4/74
To express this as a percent, we multiply the above results by 100.
Thus, (44.4/74) x 100
= 60%
7 1/2 of what number is 12
To find what number 7 and 1/2 of is equal to 12, we can set up an equation and solve for the unknown number.
Explanation:To find out what number 7 and 1/2 of is equal to 12, we can set up an equation.
We can represent the unknown number as x.
So, the equation becomes: 7 and 1/2 * x = 12
Next, we need to convert the mixed number 7 and 1/2 to an improper fraction. 7 and 1/2 is equal to 15/2. So the equation now becomes: (15/2) * x = 12
To solve for x, we can multiply both sides of the equation by the reciprocal of 15/2, which is 2/15.
This cancels out the fractions on the left side of the equation, giving us: x = (12 * 2)/15
By multiplying 12 and 2, we get 24. And by dividing 24 by 15, we get the final answer: x = 24/15, which can be simplified to x = 8/5 or x = 1.6.
| x | - 8 = -5
It’s talking about absolute value, but I don’t know what to do .-.
Answer:
3
Step-by-step explanation:
3-8=-5
A= 4a-9b Solve for a
Answer:
a=(A+9b)/4
Step-by-step explanation:
A=4a-9b
4a=A+9b
a=(A+9b)/4
2. Find the equation of a line that is parallel to the line y=-- x - 3 and goes through the point (-4,3).
What’s the answer?
Use the point-slope formula.
y - y_1 = m(x - x_1)
y - 3 = 1(x + 4)
y = x + 4 + 3
y = x + 7
Done.
solve 3x^2=-12-6x by completing the square
Answer:
x = - 1 ± i [tex]\sqrt{3}[/tex]
Step-by-step explanation:
Given
3x² = - 12 - 6x ( add 6x to both sides )
3x² + 6x = - 12 ( divide through by 3 )
x² + 2x = - 4
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(1)x + 1 = - 4 + 1
(x + 1)² = - 3 ( take the square root of both sides )
x + 1 = ± [tex]\sqrt{-3}[/tex] = ± i [tex]\sqrt{3}[/tex] ( subtract 1 from both sides )
x = - 1 ± i [tex]\sqrt{3}[/tex]
There is 6/8 of a cake leftover after a birthday party how many 1/4 pieces can be made from the leftover cake
Answer:
3
Step-by-step explanation:
6/8 ÷ 1/4
=
6 × 4
8 × 1
=
24/8
=
24 ÷ 8
= 3
Answer:
I believe it is 2
Step-by-step explanation:
how many zeros in the property 50 * 6000
Answer: 5 zeros
Step-by-step explanation: just multiply
Answer: 5 zeros
Step-by-step explanation:
50 * 6000 = 300,000
Lisa is making activity baskets to donate to charity. She has 12 coloring books, 28
markers, and 36 crayons. What is the greatest number of baskets she can make if each
type of toy is equally distributed among the baskets? How many of each supply will go
into the baskets?
Answer:
12 and 12
Step-by-step explanation:
Select all statements that are true for density curves.
The curve is on or above the horizontal axis.
The total area under the curve is 1
The curve is symmetric and single peaked
The proportion of data values between two numbers and is the area under the curve between a and b.
The curve satisfies the 68.95.99.7% rule.
Answer:
The curve is on or above the horizontal axis ⇒ 1st
The total area under the curve is 1 ⇒ 2nd
The proportion of data values between two numbers and is the area
under the curve between a and b ⇒ 4th
Step-by-step explanation:
* Lets explain the meaning of density curve
- Density curve is a mathematical model for a distribution of a variable
- It is another type of graph that represents a quantitative variables
- It describes the overall pattern of a distribution
- Its area is always on or above the horizontal axis
- Its area under the curve is exactly 1
- It can come in many shapes - symmetric, right-skewed, left-skewed
- The area under the curve and above any range of values on the
horizontal axis is the proportion of all observations that fall in
that range
- Ex: density curve describes the probability distribution of a
continuous random variable
The probability of any event is the area under the curve and above
the values that make up the event.
* Now lets chose the true statements
# The curve is on or above the horizontal axis
# The total area under the curve is 1
# The proportion of data values between two numbers and is the area
under the curve between a and b
While most of the provided characteristics apply to all density curves, namely their position on or above the horizontal axis, their unit area, and the proportion interpretation of the area, they are not necessarily single peaked or symmetric and do not always follow the 68-95-99.7% rule.
Explanation:The given statements about density curves are true:
The curve is on or above the horizontal axis: This indicates that the values of density (frequency per unit measure) are always non-negative. The total area under the curve is 1: This reflects the fact that the total probability of all potential outcomes (as represented by the area of the curve) is 1. The proportion of data values between two numbers a and b is the area under the curve between a and b: This is because the area under the density curve gives the probability, which interprets as the proportion in this context.
However, two of the provided statements have elements that do not apply universally:
The curve is symmetric and single peaked: This is not always the case. A density curve can be skewed or can have multiple peaks. The curve satisfies the 68-95-99.7% rule: This rule applies only to normal (bell-shaped) distributions, not all density curves.Learn more about Density Curves here:https://brainly.com/question/18345488
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you are given data set= .99,1.92,1.23,.85,.65,.53,1.41,1.12,.63,.67,.69,.60,.60,.66
a) find mean, median and mode
Answer:
vvvvvvvvvvvvvvvv
Step-by-step explanation:
(4,-2) and (-2,-2) write the equation.
the equation is Y=-2/3x+2/3
The difference of two numbers is 2 the product of the two numbers is 440 what are the two numbers explain
Final answer:
To solve the student's question, we created a system of equations based on the given conditions, solved for the two numbers using algebraic methods, and verified that the numbers 22 and 20 have a difference of 2 and a product of 440.
Explanation:
The student has asked to find two numbers where their difference is 2 and their product is 440. This problem can be solved by establishing a system of equations and using algebraic methods to find the two numbers.
Let x be the larger number and y be the smaller number. According to the question, we have two equations:
x - y = 2
x × y = 440
From the first equation, y can be expressed as x - 2. Subsequently, by substituting y in the second equation, we get x(x - 2) = 440. Simplifying this yields a quadratic equation: x² - 2x - 440 = 0. Solving the quadratic equation gives us two possible values for x, which we can then use to find the corresponding values of y.
By factoring, we determine the two numbers that satisfy both conditions are 22 and 20. To verify this, we must ensure that the difference between these two numbers is 2 and their product is 440, which is indeed the case: 22 - 20 = 2 and 22 × 20 = 440.
Solve the following equation. Then place the correct number in the box provided.
3x=12
3x = 12
x = 12/3
x = 4
Answer explained step by step:We have to 3x = 12
What we will do is clear the variable or unknown "x"
- What is multiplying "3 × x" we will divide:
x = 12/3
- We simplify...
x = 4
Which of the following is equivalent to
?
36 37
Given that DJ║KE, ∠DBF = 37°, and ∠angle ABC = 46°, find the measure of ∠GCE in degrees.
Check the picture below.
Final answer:
To find the measure of ∠GCE, apply the properties of parallel lines and angles in triangles, leading to a solution of 83°.
Explanation:
Given that DJ║KE, ∠DBF = 37°, and ∠ABC = 46°, we can determine the measure of ∠GCE as follows:
Since DJ║KE, we have alternate interior angles, meaning ∠GCE = ∠DBF = 37°.
Now, ∠ACB is the exterior angle to the triangle ∆FCE, and by the Exterior Angle Theorem, ∠GCE + ∠ACB = ∠FCE = 180°.
Substitute the known values to find ∠GCE: 37° + 46° = 83°. Therefore, ∠GCE is 83°.