Use the Law of Detachment to draw a conclusion from the two given statements. If two angles are complementary, then the sum of their measures is 90°. E and F are complementary.
Answers
Using the law of detachment, the conclusion we can draw from the two given statements is: C. m∠E + m∠F = 90°.
What is the Law of Detachment?The law of detachment states that, if two statements are true, a third statement that is true can be derived also.
From the information given, we have:
First statement: If 2 angles are complementary, then their sum equals 90 degrees (If p, then q).
Second statement: Angles E and F are complementary (p).
The third true statement (q) would be:
m∠E + m∠F = 90°. (option C)
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Related Questions
Two points A and B whose heights differ by 10 metres are shown 1.2 cm apart horizontally on a map whose scale is 1: 10 000. a) Work out the actual horizontal distance between A and B.
Answers
Answer:
120 meters
Step-by-step explanation:
1.2 x 10 000 = 12000 cm = 120 meters
Bobby is having a summer barbecue. He is inviting 7 of his friends. He wants to have enough food for everyone to have two hot dogs. How many hot dogs will bobby need to cook for himself and his friends?
Answers
Answer:
16
Step-by-step explanation:
7 friends = 14 hotdogs + bobby (2 hotdogs) = 16 hotdogs
Answer:
16 hot dogs
Step-by-step explanation:
since he has 7 friends + himself, we're going to have a total of 8 persons
and since it's expected for each person to have two hot dogs,
total hotdogs Bobby need to cook= 8×2= 16 hot dogs
2 over 5 of a bag of chips is in the cupboard. you eat 3 over 4 of what is left. how ,uch of the whole bag did you eat?
Answers
Answer:
3/10
Step-by-step explanation:
So you have 2/5 left in your cupboard. Say the amount of chips originally in your cupboard would be 30. 2/5 of 30 would be 12.
Then multiply 12 by 3/4 so it would be 3/4 of 12.
The result would be 9
9/30 = 3/10
this is complicated explanation
there are much easier explanations tho
Solve for x. Round to the nearest tenth, if necessary.
Answers
Answer:
x = 3.4
Step-by-step explanation:
Use the sin formula, due to the fact of the hypotenuse being known, and the variable being across 70.
Sin(70) = x / 3.6
Sin(70) * 3.6 = x
3.3828934 = x
Round to nearest tenth, as question asked
3.4 = x
-- Gage Millar, Algebra 1/2 Tutor (Pending Pre-Calc Tutor)
A certain city in Washington has a population of 46,400 people.
If the city is 580 sq mi in area, approximately how many people live in each square mile?
Answers
Step-by-step explanation:
please can you divide it will give you the answer
Wendy winholtz 8 year savings certificate pays an annual interest rate of 5.3% at the end of 5 years she cashed out the 6,000 CD and paid a penalty of 12 month simple interest. What penalty did she pay
Answers
Answer:
318
Step-by-step explanation:
The rate of 5.3% is an annual rate, and specifies the amount of interest earned in a 12-month period by the principal amount of the CD. The interest amount is found by multiplying the interest rate by the principal amount.
__
penaltyThe amount of the penalty is 5.3% of 6000:
0.053 × 6000 = 318
Wendy paid a penalty of 318 for her early withdrawal.
100 points
1942 divded by 2^4
Answers
Answer: 121.375
Step-by-step explanation:
[tex]2^4=16[/tex]
[tex]\frac{1942}{2^4}[/tex]
[tex]\frac{1942}{16}=121.375[/tex]
The constant is four
Answers
x=4
Step-by-step explanation:
4x=16y
x=16divide4
x=4
Answer:
y = 4x
Step-by-step explanation:
Take a pair of coordinates, like
(8,32) ; (4,16)
m = (Δy):(Δx)
= (32-16) : (8 - 4) = 4
y = mx + c
= 4x +c
Now substitute the values from one of the 2 coordinates' pair.
16 = 16 + c
c = 0
Therefore,
y = 4x
Complete the table of values for the equation, 16x + 4y = 12.
x y
-2
-1
0
1
2
Answers
The x-y coordinates for the given equation are: (-2,11),(-1,7),(0,3), (1,-1) and (2,-5).
Linear FunctionA linear function can be represented by a line. The standard form for this equation is: ax+b , for example, y=2x+7. Where:
a= the slope;b=the constant term that represents the y-intercept.The given equation is 16x + 4y = 12. For solving this question, you should replace the given values of x for finding the values of y.
Thus,
For x= -2, the value of y will be:16*(-2)+4y=12
-32+4y=12
4y=12+32
4y=44
y=11
For x= -1, the value of y will be:
16*(-1)+4y=12
-16+4y=124y=12+164y=28y=7For x= 0, the value of y will be:16*(0)+4y=12
0+4y=124y=124y=12y=3For x= 1, the value of y will be:16*(1)+4y=12
16+4y=124y=12-164y=-4y= -1For x= 2, the value of y will be:16*(2)+4y=12
32+4y=124y=12-324y=-20y= -5Read more about the linear equation here:
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Which of the following could be the value of x in the equation x^2 - 21 = 100 Choose all the correct answers
Answers
How to solve your problem
x^{2}-21=100
Quadratic formula
Factor
1
Move terms to the left side
x^{2}-21=100
x^{2}-21-100=0
2
Subtract the numbers
x^{2}\textcolor{#C58AF9}{-21}\textcolor{#C58AF9}{-100}=0
x^{2}\textcolor{#C58AF9}{-121}=0
3
Use the quadratic formula
x=\frac{-\textcolor{#F28B82}{b}\pm \sqrt{\textcolor{#F28B82}{b}^{2}-4\textcolor{#C58AF9}{a}\textcolor{#8AB4F8}{c}}}{2\textcolor{#C58AF9}{a}}
Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.
x^{2}-121=0
a=\textcolor{#C58AF9}{1}
b=\textcolor{#F28B82}{0}
c=\textcolor{#8AB4F8}{-121}
x=\frac{-\textcolor{#F28B82}{0}\pm \sqrt{\textcolor{#F28B82}{0}^{2}-4\cdot \textcolor{#C58AF9}{1}(\textcolor{#8AB4F8}{-121})}}{2\cdot \textcolor{#C58AF9}{1}}
4
Simplify
Evaluate the exponent
Multiply the numbers
Add the numbers
Evaluate the square root
Add zero
Multiply the numbers
x=\frac{\pm 22}{2}
5
Separate the equations
To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.
x=\frac{22}{2}
x=\frac{-22}{2}
6
Solve
Rearrange and isolate the variable to find each solution
x=11
x=-11
Q5. Find each value.
Answers
Answer:
[tex]a. {( \sqrt{36} )}^{2} = 36[/tex]
[tex]b. ({ \sqrt{ \frac{25}{81} } })^{2} = \frac{25}{81} = 0.3086[/tex]
[tex]c. {( \sqrt{1.99} )}^{2} = 1.99[/tex]
[tex]d. {( \sqrt{x} })^{2} = x[/tex]
The square exponent is removed with the root .
solve the equation
x + 10 = 20
Answers
10+10=20
I need two question please
Answers
The area of a circle with a diameter of 240
Answers
Answer:
in terms of pi: A = 14,400pi
A = 14,400(3.14) is 45,216
Step-by-step explanation:
Area of a circle is pir^2
Radius = diameter / 2
Radius = 240 / 2 which is 120
A = pi(120)^2
A = 14,400pi
Hi student, let me help you out! :)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
We are asked to find the area of a circle with a diameter of 240.
[tex]\triangle~\fbox{\bf{KEY:}}[/tex]
First of all, we need to find the radius.We can find the radius by dividing the diameter by 2:
[tex]\star~\large\pmb{240\div2=120}[/tex]
The radius is 120. Now it's time to compute the area!
///\\\///\\\///\\\\////\\\///\\\///\\\///\\\///\\\///\\\///\\\///\\\///\\\///\\\////\\\///\\\///\\\///\\\
Computing The Area
The formula for the area is:
[tex]\star~\large\pmb{Area_{(circle)}=\pi r^2}}[/tex]
See, there's the radius, r; we found a minute ago, and it equals 120 cm.
Now, substitute the value of r into the formula:
[tex]\begin{gathered} \sf{\longmapsto{A=\pi (120)^2} \\ \sf{\longmapsto{A=\pi\times14,400} \\ \sf{\longmapsto{A=45,238.9\;cm^2 \end[/tex]
Hope it helps you out! :D
Ask in comments if any queries arise.
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Brenda earns $18,200 per year. What’s her semi monthly salary.
Answers
Halp me
Me too dum to know pls halp
Answers
Answer:
Coordinate pair for Friday (3, 55). This means the length of the eruption was 3 minutes, and the wait time between the eruptions was 55 minutes.
Paulo and Jason wear smaller shoe sizes than Carmen.
Jason and Carmen scored more runs than Paulo.
Step-by-step explanation:
Paulo wears size 5 and Jason wears size 4. Carmen wears size 10, therefore the players wear smaller shoe sizes than he does
Jason scored 10 runs, and Carmen scored 11. Since Paulo only scored 5 runs, the other players scored more than him
ƒ(1) = −6
f(2)=-4
f(n) = f(n-2) + f(n-1)
f(3) =
Answers
Answer:
-10
Step-by-step explanation:
if we put f(n)=3 , Then
f(3)=f(3-2) + f(3-1)
= f(1) + f(2)
= -6+(-4). [since f(1)= -6 and f(2) = -4)
= -6-4
= -10
Simplify
Inx + lny + ln3
Answers
Step-by-step explanation:
[tex] ln(x) + ln(y) + ln(3) [/tex]
[tex] ln(3xy) [/tex]
In ΔABC, m∠A = 2m∠B and m∠B = 3m∠C.
What is m∠C?
Answers
A triangle is a three-edged polygon with three vertices. The measure of ∠C is 18°.
What is a triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.
Let the measure of ∠C be represented by x. Given the measure of ∠A= 2(∠B), while the measure of ∠B=3(∠C). Therefore, the measure of angles can be written as,
∠A = 2(∠B) = 2[3(∠C)] = 6x
∠B = 3x
∠C = x
Now, since the sum of all the angles of a triangle is 180°. Therefore,
∠A + ∠B + ∠C = 180°
6x + 3x + x = 180°
10x = 180°
x = 18°
Hence, the measure of ∠C is 18°.
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what equation defines a line that intersects the graph of 6x-2y=10 exactly once?
Answers
Any line with a slope different than 3 will intercept the given line only once.
What equation defines a line that intersects the graph?The answer will be any line that is not parallel (nor the same) to the given line.
Remember two lines are parallel if the lines have the same slope and different y-intercept
In this case, the given linear equation is:
6x - 2y = 10
y = 3x - 5
So the slope is 3 and the y-intercept is -5.
Then, any line with a slope different than 3 will intercept this line only once.
An example can be:
y = 314*x
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Which measure of central tendency can be used in finding the average of your grades in a quarter?
Answers
Explanation: Average can simply be defined as the sum of all the numbers divided by the total number of values. A mean is defined as the mathematical average of the set of two or more data values. Average is usually defined as mean or arithmetic mean.
Simplify the following: 9 – 2(x - 5) = x + 10
Answers
Answer:
x = 3
Step-by-step explanation:
Hello!
We can distribute the parenthesis and solve for x.
Solve9 - 2(x - 5) = x + 109 - 2x + 10 = x + 1019 - 10 = 3x9 = 3xx = 3The value of x is 3.
We can plug it back in to check if it works.
Check9 - 2(x - 5) = x + 109 - 2(3 - 5) = 3 + 109 - 2(-2) = 3 + 109 + 4 = 3 + 1013 = 13Correct!
Answer:
[tex]\huge\boxed{\sf x = 3}[/tex]
Step-by-step explanation:
Given equation:9 - 2(x - 5) = x + 10
Distribute
9 - 2x + 10 = x + 10
Subtract 10 to both sides
9 - 2x = x
Add 2x to both sides
9 = x + 2x
9 = 3x
Divide 3 to both sides
9/3 = 3x/3
3 = x
OR
x = 3[tex]\rule[225]{225}{2}[/tex]
the perimeter of a rectangle is 30cm while it breadth is 5cm find the length of the rectangle
Answers
Answer:
10 cm
Step-by-step explanation:
See attached image
Answer:
length = 10 cm
Step-by-step explanation:
Fyi, breadth is a synonym to width.
Since P=30, we must find the length.
l = length
w = width
P=w+w+l+l
30 = 5+5+l+l
30 = 10+2l
-2l = -20
l = 10
Hence, the length is 10 cm.
A rectangle measures 12 m by 14 m. If the width is decreased by 3 m and the length is increased by 4 m, how much would the area change?
Answers
Answer:
6 m²
Step-by-step explanation:
Original area :
12 × 14 = 168 m²
New area :
(12-3) × (14+4) =
9 × 18 = 162 m²
168 - 162 = 6
Area would change by 6 m²
i needs help with it please
Answers
Answer:
d. ΔMNO
Step-by-step explanation:
In geometry, two figures are congruent if they are the same shape and size (they can also be a mirror image of each other). If they are the same shape but a different size (e,g, one is an enlargement or reduction of the other), then they are similar.
All the given triangles have the same interior angles, so we need to find a triangle with the same side lengths as ΔABC.
The only triangle that has the same side length as ΔABC is ΔMNO:
they both have bases of 8cm.
Therefore, ΔMNO is congruent to ΔABC.
A copy machine makes 36 coples per minute. How many coples does it make in 4 minutes and 45 seconds?
Answers
make w the subject of the formula p = 2w+7 divided by 12
Answers
Answer:
w = (12p - 7) / 2
Step-by-step explanation:
p = (2w + 7) / 12
12p = 2w + 7
2w = 12p - 7
w = (12p - 7) / 2
Which shows a perfect square trinomial?
Answers
Answer:
-ax² + bx + c and satisfies the condition b² = 4ac
Step-by-step explanation:
that's my answer
{Correct me if I'm not correct}
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19) Florence has a strip of clothing that is 8 feet long. About how many 2 feet strips can she cut from the 8-foot strip?
I really need help with this
Answers
Answer:
4
Step-by-step explanation:
8/2 is 4
Which expression represents the perimeter of the triangle?
8x + 2
18x
8x
Answers
Answer:
8x
Step-by-step explanation:
We can add all of the side lengths of the triangle to figure out the perimeter. 3x-1+3x+1=6x+2x=8x