Answers
Answer:
x = 9
Step-by-step explanation:
If ABCD is a parallelogram, then 6x = 7x - 9
as the point of intersection of the 2 diagonals is the midpoint of AC
6x = 7x - 9
Subtract 6x from both sides:
⇒ 0 = x - 9
Add 9 to both sides:
⇒ 9 = x
Solution:
We know that:
[tex]\frac{AC}{2} = 6x[/tex]This means that:
[tex]AC = (6x)(2) = 12x[/tex][tex]AC = 12x = 6x + 7x - 9[/tex]Step-by step calculations:
Simplify the RHS:
[tex]12x = 6x + 7x - 9[/tex]=> [tex]12x = 13x - 9[/tex]Subtract 13x both sides:
=> [tex]-13x + 12x = 13x -13x - 9[/tex]=> [tex]-x = -9[/tex]Divide -1 both sides:
=> [tex]-x = -9[/tex]=> [tex]\frac{-x}{-1} = \frac{-9}{-1}[/tex]=> [tex]x = 9[/tex]Related Questions
If the circumference of a circle is 25.12 feet, what is the area of the circle?
Answers
PLS HELP I WILL AWARD BRAINLY
If f(x)=1−x² and g(x)=x²−1, then for which of the following values of b does
f(3b)+8=g(3b)−8?
A) 1
B)√8
C) 8
D) √3
E) 0
Answers
Answer:
A
Step-by-step explanation:
We have the two functions: [tex]f(x)=1-x^2[/tex] and [tex]g(x)=x^2-1[/tex].
And we want to find the value of b such that [tex]f(3b)+8=g(3b)-8[/tex] is true.
Notice that we can multiply f(x) by -1. This yields:
[tex]-f(x)=x^2-1[/tex]
Notice that this is the same as g(x). Therefore:
[tex]-f(x)=g(x)[/tex]
If we substitute 3b for x:
[tex]-f(3b)=g(3b)[/tex]
So, we can go back to our equation. We have:
[tex]f(3b)+8=g(3b)-8[/tex]
Substitute -f(3b) for g(3b):
[tex]f(3b)+8=-f(3b)-8[/tex]
Solve. Subtract 8 from both sides and add f(3b) to both sides:
[tex]2f(3b)=-16[/tex]
Divide both sides by 2:
[tex]f(3b)=-8[/tex]
Now, we can use the function of f(x). Substitute 3b into f(x). So:
[tex]1-(3b)^2=-8[/tex]
Subtract 1 from both sides:
[tex]-(3b)^2=-9[/tex]
Divide both sides by -1:
[tex](3b)^2=9[/tex]
Take the square root of both sides:
[tex]3b=\pm 3[/tex]
Divide both sides by 3. So, the value of b can be:
[tex]b=-1, 1[/tex]
Therefore, our answer is A.
And we're done!
Answer:
A.1
Step-by-step explanation:
f(x) = 1 - x² ⇒ f(3b) = 1 - (3b)² = 1 - 9b²
g(x) = x² - 1 ⇒ g(3b) = (3b)² - 1 = 9b² - 1
f(3b) + 8 = g(3b) - 8 ⇒ (1 - 9b²) + 8 = (9b² - 1) - 8
⇔ 9 - 9b² = 9b² - 9
⇔ 9 + 9 = 9b² + 9b²
⇔ 18 = 18b²
⇔ b² = 1
⇒ b = 1; - 1
4a + 3a Please solve I will give brainliest to first answer!
Answers
Answer:
7a
Step-by-step explanation:
angle q and angle are a complementary angles. angle s and r are vertical angles. angle q is 38 degrees. what is angle s
Answers
Step-by-step explanation:
Angles q and r are complementary, so the measure of angle r is 90-38=52 degrees.
Since angles s and r are vertical angles, they are congruent, so angle s measures 52 degrees.
What should be avoided when writing a summary? Select the two correct answers.
Answers
Answer:
plagiarizer, and option
Step-by-step explanation:
Answer:
Giving unnecessary details.
Starting a sentence with because
Using run-on sentence.
Step-by-step explanation:
Any of them are technically accurate.
I hope that helped. :)
ZE and ZF are vertical angles with mZE = 8x + 8 and mZF = 2x +38.
What is the value of x?
Answers
Answer:
x = 5
Step-by-step explanation:
Vertical angles are congruent, so ...
∠E = ∠F
8x +8 = 2x +38
6x = 30 . . . . . . . . . subtract (2x+8)
x = 5 . . . . . . . . . . . divide by 6
Answer:
Since ZE and ZF are vertical angles, they are congruent.
8x+8 = 2x+38
8 = 2x-8x+38
8 = -6x+38
8-38 = -6x
-30 = -6x
x = -30/-6
x = 5
pls help :) I will do anything
Answers
Answer:
D. 5
Step-by-step explanation:
I see you plugged in 2 for x :)
So now you have 1/2 (4) +3
Half of 4 is 2. So 2+3 = 5
Please help pre Algebra question
Answers
Answer:
4=No
-3=No
2=Yes
0=No
Step-by-step explanation:
enter enter all the factors into the equation and see which one equals -28 on both sides at the end.
PLEASE HELP PLEASE HELP
Answers
Answer:
x = 80
Step-by-step explanation:
the total of interior angles in a quadrilateral (any shape with only 4 sides) is 360
add the angles you're given
105 + 100 + 75 = 280
subtract that number from the total interior angles (360)
360 - 280 = 80
therefore, x = 80
hope this helps! have a lovely day!!
what is the slope-intercept equation of the line below?
Answers
Answer:
Are A and B the only possible answers u are given?
#1 What is the volume of a cube with a side length of 1/2 cm? -
Answers
Answer:
Volume of the cube = (1/2)^3 = (1/8) cubic inch
Hope it helps!!!Brainliest pls!!! How do u work out 65% of 8700
Answers
Step-by-step explanation:
please mark me as brainlest
if negative y = 0, what would positive y be?
Answers
Answer:
positive y would be also 0
Step-by-step explanation:
y = 0
On the number line, which two numbers are a distance.20 away from the number 5
Answers
Answer:
4.8 and 5.2
Step-by-step explanation:
5+.2=5.2 5-.2=4.8
Hopes this helps!
For me i got the awnser -15 and 25
Will give brainliest to first answer !! What is 2 to the power of 44 multiplied by 84
Answers
1477743627730944
suppose f(x)=2x-5,g(x)=-3-1,and h(x) =2x2+x-7 calculate f(-7)
Answers
Answer:
f(-7) = -19
Step-by-step explanation:
Let us solve the problem
∵ f(x) = 2x - 5
∵ g(x) = -3x - 1
∵ h(x) = 2x² + x - 7
→ We need to find f(-7), that means substitute x in f(x) by -7
∵ x in f(x) = -7
∵ f(x) = 2x - 5
∴ f(-7) = 2(-7) - 5
→ Calculate 2 × (-7)
∴ f(-7) = -14 - 5
→ Add them
∴ f(-7) = -19
12x - 32 - 2x + 68
None of the answers match
Answers
Answer:
10x=36
Step-by-step explanation:
Need to know answer to -5(2x-10)=2(x-8)
Answers
Answer:
Exact Form: x=11/2
Decimal Form: x=5.5
Mixed Number From: x= 1 1/2
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer: x = 11/2 or x = 5.5
Steps: -5(2x - 10) = 2(x - 8)
Expand: -10x + 50 = 2x - 16
Subtract 50 from both sides: -10x + 50 - 50 = 2x - 16 - 50
Simplify: -10x = 2x - 66
Subtract 2x from both sides: -10x - 2x = 2x - 66 - 2x
Simplify: -12x = -66
Divide both sides by 12: -12x ÷ 12 = -66 ÷ 12
Simplify: x = 11/2 or 5.5
Plz mark brainliest:)
Slope worksheet. Please help!!!
Answers
Answer:
1) 1/3
2) -1
3) 5/2
Step-by-step explanation:
rise
_____
run
Abir walks four twelfths of a mile to school. Nadia walks two twelfths of a mile to school. How much farther does Abir walk than Nadia?
eight twelfths of a mile
six twelfths of a mile
four twelfths of a mile
two twelfths of a mile
Answers
Answer:
two twelfths of a mile.
Step-by-step explanation:
4/12 - 2/12 = 2/12
A stadium has 45,000 seats. Seats sell for $30 in Section A, $24 in Section B, and $18 in Section C. The number of seats in Section A equals the total number of seats in Sections B and C. Suppose the stadium takes in $1,168,200 from each sold-out event. How many seats does section A hold?
Answers
Answer:
should be 90 seats each section hope that helped
9 + 1.25x > 14 + 0.75x
Answers
Answer:
X>10
Step-by-step explanation:
9+1.25x>14+0.75x
Answer:
x>10
Step-by-step explanation:
some help please
don't pass
Answers
Sally: 9
Will: 9
James:9
Anthony: twice as much as sally (2x9) which is 18
9 + 9 + 9 + 18 = 45
The women’s heptathlon in the Olympics consists of seven track and field events: the 200-m and 800-m runs, 100-m high hurdles, shot put, javelin, high jump, and long jump. In the 2000 Olympics, the best 800-m time, run by Gertrud Bacher of Italy, was 8 seconds faster than the mean. The winning long jump by the Russian Yelena Prokhorova was 60 centimeters longer than the mean. Bacher’s winning 800-m time of 129 seconds was 8 seconds faster than the mean qualifying time of 137 seconds (the standard deviation of the qualifying times was 5 seconds). Prokhorova’s winning long jump was 60cm longer than the average 6-m jump (Note: the standard deviation of the long jumps was 30 cm). Which performance is more outstanding (and hence deserves more points when computing their overall score)? Explain.
Answers
Answer: Prokhorova is more outstanding.
Step-by-step explanation: To compare scores from different distributions, first standardize it:
z-score = [tex]\frac{x-\mu}{\sigma}[/tex]
where
x is the individual mean you want to compare
μ is the mean of the population
σ is standard deviation
For Gertrud Bacher:
z-score = [tex]\frac{129-137}{5}[/tex]
z-score = [tex]-1.6[/tex] (s)
The negative sign indicates Bacher's mean is less than the mean
For Yelena Prokhorova:
z-score = [tex]\frac{660-600}{30}[/tex]
z-score = 2 (cm)
The positive sign indicates Prokhorova's mean is more than the mean.
Using z-score table, you determine the percentiles are:
For Bacher: Percentile = 5.5%
For Prokhorova: Percentile = 97.7%
Bacher's percentile means she is above 5.5% of the participants, while Prokhorova is 97.7% above the other competitors, which means Prokhorova have a better performance and deserves more points.
X-7=8 what is the answer?
Answers
Answer:
15
Step-by-step explanation:
Answer:
x = 15
Step-by-step explanation:
A rental car company charges $25 per day to rent a car and $0.12 for every mile driven. Violet wants to rent a car, knowing that:
She plans to drive 125 miles.
She has at most $150 to spend.
Write and solve an inequality which can be used to determine dd, the number of days Violet can afford to rent while staying within her budget.
Answers
Answer:
The written inequality can be written as 0.12x + 25 <= 150.
Step-by-step explanation:
To solve the inequality you would plug in the 125 miles for x so 0.12(125) + 25 <= 150 0.12(125) would equal 15 so 15 + 25 <= 150 150/40 would equal 3.75 days but you cant have .75 of a day so Violet would have three days max to afford to rent the car while staying in her budget.
Please help me please
Answers
Answer:
J(-2,8)
Step-by-step explanation:
the new x-coordinate is 7-9=-2, and y-coordinate is unchanged.
Pls mark me as the Brainliest as I really need it!
What is the exact definition of the Pythagorean Theorem and who invented it.
Answers
Answer:
Pythagoras invented it
Step-by-step explanation:
a theorem attributed to Pythagoras that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.
Pythagoras was introduced to mathematics by Tales of Miletus and his pupil Anaximander
It’s timed please help
3.2b-4.7b=3b-3.3
What dose b equal
Answers
Answer:
b=0.733333
Step-by-step explanation:
Subtract.
3/4 - 6/12
Answers
Answer:1/4
hope this helps
Step-by-step explanation:We can't subtract two fractions with different denominators. So you need to get a common denominator. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.
So we multiply 3 by 12, and get 36.
Then we multiply 6 by 4, and get 24.
Next we give both terms new denominators -- 4 × 12 = 48.
So now our fractions look like this:
36/48 − 24/48
Step 2
Since our denominators match, we can subtract the numerators.
36 − 24 = 12
So the answer is:12/48
Step 3
Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?
To find out, we try dividing it by 2
Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
12/48÷ 2 =6/24
Let's try dividing by 2 again
Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
6/24÷ 2 =3/12
Let's try dividing by 2 again...
Nope! So now we try the next greatest prime number, 3...
Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:3/12÷ 3 =1/4
Let's try dividing by 3 again
No good. 3 is larger than 1. So we're done reducing.
There you have it! The final answer is:
3/4−6/12=1/4