Answer: Yes it is possible. Angle DCF is also 50 degrees
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Check out the image attachment below. On that image, I've marked that angle EBA is congruent to angle BAC by the alternate interior angle theorem. Those angles are shown in red. Furthermore, angle BAC is congruent to DCF (corresponding angles) using a green marker. Finally, using the transitive theorem, you can connect the statements in a chain to say that angle EBA is congruent to angle DCF, which is why angle DCF is 50 degrees as well.
Write a division problem that has the dividends of a/3 and a quotient of 5a2/6b
The division problem meeting with the given criteria 'dividend of a/3 and a quotient of 5a2/6b' is '(a/3) ÷ (b/2a) = 5a2/6b'. This is found by using the division formula 'Dividend = Quotient x Divisor' and solving for the divisor.
Explanation:The problem can be explicitly solved using the general formula for division in variables. Given the dividend is 'a/3' and the quotient is '5a2/6b', you can solve for the divisor using the formula 'Dividend = Quotient x Divisor'. Your unknown in the equation is the divisor and hence rearranging the equation we get, 'Divisor = Dividend / Quotient'. Substituting the given values, the divisor comes out to be 'Divisor = (a/3) / (5a2/6b)' which simplifies to 'b/2a'. Therefore, the division problem matching your criteria would be '(a/3) ÷ (b/2a) = 5a2/6b'.
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At midnight, the outside temperature was -12.3 degrees. By 6:00 AM the outside tempature had dropped 6.8 degrees.
What was the outside temperature at 6:00 AM?
-19.1 degrees
-5.5 degrees
5.5 degrees
18.1 degrees
Suppose a whale shark measures 10.7 meters. Convert this measurement to feet. Round your answer to the nearest whole foot.
A. 30 feet
B. 6 feet
C. 35 feet
D. 32 feet
Alright, so the scale of meters to feet is about 3.281 feet. So you would do 10.7 times 3.281 and that equals 35.1067 and that can be rounded to 35, so the answer would be C, 35 feet. Hope that Helped :)!
can someone help me?? and show the steps on how u got the answer
-1-10a<-1 or 10+3a≤ -5
-10a<0 or 3a≤-15
a>0 or a≤-5
-1 - 10a < -1 or 10 + 3a ≤ -5
+1 +1 -10 -10
-10a < 0 or 3a ≤ -15
[tex]\frac{-10a}{-10} > \frac{0}{-10}[/tex] or [tex]\frac{3a}{3} \leq \frac{-15}{3}[/tex]
a > 0 or a ≤ -5
notice the left inequality symbol flipped because we divided by a negative
-5 ≥ a > 0
Graph: -5 -------------o 0 (dot is filled at -5 and not filled at 0)
What is the value of a? a–2=3+6a/3
wait bro u in k12 i am
Linear equations clark wants to figure how many pens to order for the office . There are 36 workers , and he needs to order one pen for each worker . He knows that for every three people who prefer red there are nine who prefer blue How many blue pens should he order ?
Following the Baltimore Running in 2009, volunteers collected and recycled 3.75 tons of trash. Graph 3.75 on a number line and write the weight as a mixed number
3 3/4 is the answer i think
Answer:
Step-by-step explanation:
3 3/4 is the answer
Which expression is equivalent to 9x^5 y^16/45x^5 y^4
A. y^12/5
B. y^12/36
C. xy^4/5
D. xy^4/36
Answer:
The correct answer is option A
The expression 9x⁵y¹⁶ / 45x⁵y⁴ will be equivalent to the expression y¹² / 5. Then the correct option is A.
What is an equivalent function?The equivalent is the functions that are in different forms but are equal to the same value.
The expression is given below.
⇒ 9x⁵y¹⁶ / 45x⁵y⁴
Then the expression can be written as
⇒ 9x⁵y¹⁶ / 45x⁵y⁴
⇒ y¹² / 5
Then the correct option is A.
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what are 3 equivalent ratios for 10/12
Answer:
Three equivalent ratios would be 5/6, 20/24 and 30/36
Step-by-step explanation:
In order to find equivalent ratios, we need to multiply or divide both numbers by the same amount. First, lets divide both by 2.
10/2 = 5
12/2 = 6
5/6
Next we can multiply both by 2
10*2 = 20
12*2 = 24
20/24
Next we can multiply both by 3
10*3 = 30
12*3 = 36
30/36
what are 3 equivalent ratios for 10/12
5/6
15/18
20/24
25/30
I need help!!! Please help ASAP!
180 ≥ 45 + 15x
-45 -45
135 ≥ 15x
9 ≥ x
x ≤ 9
Answer: D
66 < 2x + 28
-28 -28
38 < 2x
19 < x
x > 19
Answer: C the answer could also be B
11 < 5 + 2x
-5 -5
6 < 2x
3 < x
x > 3
Answer: E the answer could also be A, B, and C
-30 ≥ 6 - 4x
-6 -6
-36 ≥ -4x
9 ≤ x
x ≥ 9
Answer: A
[tex]\frac{x}{12}[/tex] - 4 ≥ 5
+ 4 + 4
[tex]\frac{x}{12}[/tex] ≥ 9
12[tex](\frac{x}{12})[/tex] ≥ 12(9)
x ≥ 108
Answer: B
How do I do I find the answer
Answer:
530
Step-by-step explanation:
The formula for the perimeter is,
P = 2(l + w)
Let's input those numbers,
P = 2(166 + 99)
Add,
P = 2(265)
Multiply,
P = 530
Hope this helps :-)
Help?
One of the fastest recorded speeds of a turtle while swimming is 9 m/s. Approximately, what is this speed in kilometers per hour? [1 kilometer = 1,000 meters] [1 hour = 60 minutes = 3,600 seconds]
32.4 km/h
2.5 km/h
6.48 km/h
150 km/h
Answer:
The correct option is: 32.4 km/h
Step-by-step explanation:
The fastest recorded speed of a turtle while swimming is 9 m/s.
Now, 9 m/s [tex]=\frac{(9)meters}{(1)second}[/tex]
1 kilometer= 1000 meter
So, 1 meter [tex]= \frac{1}{1000}=0.001[/tex] kilometer
and 9 meters [tex]=(9*0.001)kilometer = 0.009[/tex] kilometer
Now, 1 hour = 3600 seconds
So, 1 second [tex]=\frac{1}{3600}hour[/tex]
Thus, we will get.........
[tex]\frac{(9)meters}{(1)second}=(\frac{0.009}{\frac{1}{3600}}) kilometer/hour =(0.009*3600)=32.4 km/h[/tex]
So, the speed of the turtle will be 32.4 km/h.
what are the next three numbers in this sequence?
32, 16, 8, 4, 2, ...
The sequence is halving, therefore the next three numbers are 1, 0.5, and 0.25.
Explanation:The given sequence is a series of numbers where each number is half of the previous number. This is often referred to as a geometric sequence where the common ratio is 0.5. Therefore, to find the next number in the sequence, we multiply the last number by 0.5.
Following this pattern:
The next number after 2 would be 2 * 0.5 = 1.The number after 1 would be 1 * 0.5 = 0.5.Then the number after 0.5 would be 0.5 * 0.5 = 0.25.So, the next three numbers in the sequence are 1, 0.5, and 0.25.
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Solve the formula for the indicate variable A=zv+x, for v
A trampoline has a rectangular jumping surface that is 10.3 feet long and 9.2 feet wide. What is the area of the jumping surface?
Sure, to find the area of a rectangle, we simply multiply its length by its width. Here, the length of the trampoline's jumping surface is given as 10.3 feet, and the width is given as 9.2 feet.
Step 1: Write down the length and width.
Length = 10.3 feet
Width = 9.2 feet
Step 2: Multiply the length by the width.
Area = Length × Width = 10.3 feet × 9.2 feet
Perform this multiplication to get the area.
Result: The area of the jumping surface of the trampoline is 94.76 square feet.
This means that the total surface area upon which someone can jump on the trampoline is 94.76 square feet.
The Formula For The Area Of a Triangle Is A = 1/2bh.
a.Solve the formula for h.
Solve for N.
-7 + N = 20
N = 13
N = -13
N = 27
N = -27
To solve the question -7 + N = 20, we add 7 to both sides to get N = 27. Among the provided options, the correct answer is N = 27.
Explanation:To solve for N in the equation -7 + N = 20, you should add 7 to both sides of the equation to isolate the variable N on one side. This gives you the equation N = 20 + 7.
The solution is N = 27 as 20 + 7 results in 27. Therefore, the correct answer among the options provided is N = 27.
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Naomi's recipe for baked beans calls for 7 1/5 cups of kidney beans. Each can of kidney beans holds 1 4/5 cups. How many cans of kidney beans will Naomi use to make the recipe
To find out the number of cans Naomi needs for her recipe, you divide the total cups of kidney beans she needs (7 1/5) by the number of cups each can holds (1 4/5), which equates to four. Naomi will therefore need four cans of kidney beans to make her baked beans.
Explanation:In the content loaded Naomi's recipe for baked beans, we know she needs 7 1/5 cups of kidney beans and that each can of kidney beans holds 1 4/5 cups.
To find out how many cans she needs, we'll divide the total cups needed by the amount each can holds. Remember, when dividing fractions, it's helpful to change the division into multiplication by multiplying by the reciprocal of the second fraction.
So, 7 1/5 ÷ 1 4/5 becomes 7 1/5 x 5/9 (as 5/9 is the reciprocal of 1 4/5).
That comes out to 4 when calculation is done. Therefore, Naomi will need 4 cans of kidney beans to make the recipe.
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Any number that is divisible by 4 is also divisible by 8. Find a counterexample to show that the conjecture is false. 12 40 26 24
Answer is C, as 12 is divisible by 4, but not 8.
Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40
Multiples of 8: 8, 16, 24, 32, 40
Based on the multiples up to 40 there are 3 numbers that are multiples of 4 but not 8. They are 12, 28 and 36.
Based on the choices given the answer would be 12.
20 POINTS!!! BRAINLIEST ANSWER INCLUDED!!!! Solve the problem using the six-step method. A pharmacist found at the end of the day she had 4/3 as many prescriptions for antibiotics as tranquilizers she had 35 prescriptions altogether how many did you have for the tranquilizers.
Add the ratio:
4 +3 = 7
Divide total by that:
35 / 7 = 5
Multiply each ratio by 5:
4 x 5 = 20
3 x 5 = 15
They had 20 antibiotic prescriptions and 15 tranquilizer prescriptions.
Fabio and Gwen are saving money to buy a new gaming station. They need at least $510 to purchase the new gaming station. Gwen weeds yards and Fabio walks dogs to raise money. Gwen charges $12 each time she weeds a yard and Fabio charges $9 each time he walks a dog. The number of dog walks that Fabio has scheduled is no more than twice the number of yards Gwen has scheduled to weed. Fabio will walk at least 25 dogs. Write a set of constraints to model the problem, with x representing the number of lawns weeded and y representing the number of dogs walked.
Answer:
[tex]12x + 9y \geq = 510\\ y\leq 2x\\ y \geq 25[/tex]
Step-by-step explanation:
If x represents the number of lawns and 'y' represents the number of dogs that Fabio walked then:
The amount of money raised by Fabio plus the amount of money raised by Gwen must be greater than or equal to $ 510.
[tex]12x + 9y \geq = 510[/tex]
The number of dogs that Fabio will walk is less than or equal to twice the number of yards of lawn cleared by Gwen.
[tex]y\leq 2x[/tex]
Fabio will walk at least 25 dogs
[tex]y \geq 25[/tex]
Finally, the restrictions are:
[tex]12x + 9y \geq = 510\\ y\leq 2x\\ y \geq 25[/tex]
Which is an equation in point-slope form of the line that passes through the points (4, 5) and (−3, −1)?
A:y+3=7/6(x+1)
B:y+1=6/5(x+3)
C:y+1=6/7(x+3)
D:y−1=6/7(x−3)
Answer:
C: y + 1 = 6/7(x + 3)
Step-by-step explanation:
(5 + 1)/(4 + 3) = m
6/7 = m
y - 5 = 6/7(x - 4)
y - 5 = 6/7x - 24/7
y = 6/7x + 11/7
D. The slope of f(x) is the same as the slope of g(x)
[tex]\text{The formula of a slope:}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\text{The slope of f(x):}\\\\\text{We have the points}\\\\(0,\ 3)\to x_1=0,\ y_1=3\\(1,\ 1)\to x_2=1,\ y_2=1\\\\\text{substitute}\\\\m=\dfrac{1-3}{1-0}=\dfrac{-2}{1}=-2\\\\g(x)=-2x-5\to\text{the slope}\ m=-2\\\\Answer:\ \text{D. The slope of f(x) is the same as the slope of g(x)}[/tex]
literal equations
Have to solve for the variable h.
Math Problem-
2hij = kl
Answer:
h=kl/2ij
Step-by-step explanation:
The multiplication order doesn't matter so just divide everything and leave h there :)
Apple cost $0.89 pound how much will 25 pounds cost
Solve for y: 3x= y+7
Answer:
Hey there! :) y = 3x - 7
Step-by-step explanation:
Our very first step should be to rewrite our question.
3x = y + 7 ; solve for y.
In order to find out what y is equal to, we must isolate y. We can do this bu subtracting 7 from both sides of the equal sign.
3x - 7 = y + 7 - 7
Simplify.
3x - 7 = y
Therefore, y is equal to 3x - 7.
~Hope I helped!~
f(x) = 3x2 - 2x g(x) = x + 4 When finding f(x) · g(x), what could the first step look like? A) 3x2 + 12x2 - 2x2 - 8x B) 3x2 + 7x2 - 2x2 + 2x C) 3x3 + 12x2 - 2x2 - 2x D) 3x3 + 12x2 - 2x2 - 8x
(3x^2 - 2x)(x + 4)
First step would be: distributive property.
3x^3 + 12x^2 - 2x^2 - 8x
Combine like terms.
3x^3 + 10x^2 - 8x is the simplified form of the functions multiplied.
Your answer is D.
Final answer:
The first step in finding f(x) · g(x) involves multiplying the two functions together, following the distributive property, resulting in terms like 3x³ and 12x².
Explanation:
When finding f(x) · g(x), the first step would involve multiplying the two functions together. This means multiplying each term of f(x) by each term of g(x) using the distributive property.
For f(x) = 3x² - 2x and g(x) = x + 4, the first step would look like:
f(x) · g(x) = (3x² - 2x) · (x + 4) = 3x² · x + 3x² · 4 - 2x · x - 2x · 4 = 3x³ + 12x² - 2x² - 8x
So, the correct option in this case is A) 3x³ + 12x² - 2x² - 8x.
Solve 8x − 2(x + 1) = 7x + 8. (5 points)
6
−6
−10
10
8x − 2(x + 1) = 7x + 8
8x-2x -2=7x+8
6x-2=7x+8
6x-7x-2=8
-x=8+2
-x= 10
X=10/-1
X= -10
How do I solve this ?
You have to find the average so add all of them up and divide by the number of numbers which in your case is 20. If you like my answer please mark me as brainliest
An angle measures 4° more than the measure of a complementary angle. What is the measure of each angle?
a complementary angle is 90 degrees, so, if the angle measures 4 more than a complimentary angle, it is 94 degrees.