E is the middle of [AC]
so AE = 1/2 x AC
then
4x = 1/2 * (6x + 5)
4x = 3x + 5/2
x = 5/2
x = 2,5
Answer:
[tex]x=\dfrac52[/tex]
Step-by-step explanation:
In a parallelogram, the diagonals bisect each other. This means that the diagonals are divided into 2 equal parts by the other diagonal.
Therefore,
[tex]\implies AE =\dfrac12 AC[/tex]
[tex]\implies 4x=\dfrac12(6x+5)[/tex]
To solve:
multiply both sides by 2:
[tex]\implies 8x=6x+5[/tex]
subtract 6x from both sides:
[tex]\implies 2x=5[/tex]
divide both sides by 2:
[tex]\implies x=\dfrac52[/tex]
Please help me find the answer. WORTH 25 POINTS
Answer:
10x+5/16
Step-by-step explanation:
just add them all together
:) Hope you enjoy :)
Jacob can make 6 math games in 1.6 of an hour. At this rate, how many math games could he make in 4 hours?
Answer:
15
Step-by-step explanation:
4/1.6=2.5
2.5*6=15
=15
Find value of x degrees
half the hexagon is a straight line so its 180°
then 180 will be divided by the 3 sectors
180°÷3
=60°
1. Solve: 12 + 24 = 6 x 3 = ?
Answer:
False
Step-by-step explanation:
12 + 24 = 36
6 * 3 = 18
Answer: FALSE
Step-by-step explanation: So 12+24= 36 then 6 x 3 = 18 it's not the same answer
Sports A baseball is thrown into the air with an upward velocity of 30 ft/s. Its
height h, in feet, after t seconds is given by the function.h= -16t2 + 30t + 6. How
long will it take the ball to reach its maximum height? What is the ball's maximum
height? What is the range of the function?
Step-by-step explanation:
so, the function is
h(t) = -16t² + 30t + 6
we get the point of the extreme value(s) by finding the zero solution(s) of the first derivative of the function.
h'(t) = -32t + 30
finding the zero solution
-32t + 30 = 0
30 = 32t
t = 30/32 = 15/16 seconds
after 15/16 seconds (not even a full second) the ball reaches its maximum height.
the height at that maximum is then h(15/16) :
-16(15/16)² + 30×15/16 + 6 = - 15²/16 + 450/16 + 6 =
= -225/16 + 450/16 + 96/16 = 225/16 + 96/16 = 321/16 =
= 20.0625 ft
and so, the range (the interval or set of all valid functional values) is
0 <= h(t) <= 20.0625
as naturally, on a normal surface and environment, the height of the ball cannot go below 0 (when it hits the ground, it's over).
When the bathroom at your house started to leak, the plumber came to fix it. In all, he used 18 feet of pipe, which came in either 2-foot or 4-foot sections. How many of each did he use if he needed 6 pieces of pipe
4 two foot and 2 four foot
3 two foot and 3 four foot
2 two foot and 4 four foot
5 two foot and 1 four foot
Answer:
3 two foot and 3 four foot
Step-by-step explanation:
In order to find how many of each he used, you have to find how much pipe in total with the options that were given you.
(3*2)+(3*4)=6+12=18 feet of pipe
2(n+8)
What is Max’s final number if his starting number 7?
Answer: 30
Step-by-step explanation:
Answer:
Method 1
2(n+8)
2n+16=2x7+16
14+16=30
Method 2
2(n+8)
2(7+8)=2(15)
=30
Please help me pleeeeeeeeeeease
Answer:
what do you need help on?
hello, I need help with this. any help is appreciated :)
50 000 cm2 = ? m2
Step-by-step explanation:
50 000 cm2 = 5 m2
hope it helps
Answer:
[tex]5 meters^{2}[/tex] or 5m2
Step-by-step explanation:
1 meter^2 = 10000 cm
There for we could set up a ratio for this problem
[tex]\frac{x}{50000}: \frac{1}{10000}[/tex]
Using cross-multiplication we get:
[tex]10000x = 50000[/tex]
Divide 50,000 by 10000 we get:
[tex]5[/tex]
Therefore the answer is [tex]5 meters^{2}[/tex]
50 000 cm2 = 5 m2
Hope this helps! :)
true or false dont guess.
A triangle can be made by segments that are 15.9 cm, 10 cm and 25.9 cm.
Answer:
false
Step-by-step explanation:
for the segments to form a triangle, then
the sum of any 2 must be greater than the third.
15.9 + 10 = 25.9 ← not greater than 25.9
10 + 25.9 = 35.9 > 15.9
15.9 + 25.9 = 41.8 > 10
then the 3 segments will not form a triangle.
Can someone please help explain how to do this?
What is the measure of B? C is 34 degrees.
Answer:
m<B= 56
Step-by-step explanation:
A triangle has 180 degrees. This is right triangle meaning there is one angle that is 90 degrees. That's angle A since it's indicated by the little box. So 90+34= 124. You then subtract that from 180 to get 56.
If x – 10 is a factor of x2 – 8x – 20, what is the other factor?
Answer:
(x−10) (x+2)
Step-by-step explanation:
A red ball and 4 white balls are in a box. If two balls are drawn without
replacement, what is the probability of
a getting two white balls?
Answer:40%
Step-by-step explanation:
10 divided by 2 is 5.
Since there are five balls, and four are white and one is red, if you double that amount, then you would have 8 white and 2 red. So four white balls is equal to 40%.
Complete the sentence.
The amount of time it takes to give a dog a bath is most likely to be a function of the _____
A. type of food the dog eats
B. size of the dog
C. color of the dog
D. size of the house where the dog lives
Answer:
size of the dog
Step-by-step explanation:
Hope this helps
Option B is the correct answer.
Given that, the amount of time it takes to give a dog a bath is most likely to be a function of the _____.
What is the function?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.
The amount of time it takes to give a dog a bath is directly proportional to the size of the dog.
Therefore, option B is the correct answer.
To learn more about the function visit:
https://brainly.com/question/12431044.
#SPJ2
Solve the equation.
If necessary
Combine Terms
Apply properties
Add Subtract
Multiply
Divide
Answer:
x=-1
Step-by-step explanation:
3x+12-8x=19+2x (combine liked terms)
-5x+12+19=2x (move variable to the left-hand side and change its sign)
-5x-2x+12=19 (combine liked terms)
-7x=19-12 (divide both sides of the equation by -7)
x=-1
PLEASE HELP ASAP!!!
Answer:
a. 1 is a right angle because x equals to 10 because of the pythagorean theorem.
b. 1 is an obtuse angle because x could be greater than 10, making 1 an obtuse angle.
c. 1 is an acute angle because x could be less than 10, making 1 an acute angle.
d. x could be 8, making the triangle isoceles.
e. x could be less that 3, making the triangle not possible
12. A wildlife manager determines that the
function y = 200 • 1. 07* represents the deer
population at a state park, x years after the
population is first counted. What is the population
after 12 years?
Answer:
450
Step-by-step explanation:
To evaluate the function for a particular value of the variable, put that value in place of the variable and do the arithmetic.
__
y = 200×1.07^x for x = 12
y = 200×1.07^12 ≈ 200×2.252 ≈ 450
The deer population is about 450 after 12 years.
there are 216 7th grade students in 9 classes find the unit rate
Answer:
24 students per class
Step-by-step explanation:
Answer:
24 students per class.
Which statement is true about this comparison? 0.739>0.7380 CLEAR CHECK It is correct because placing a zero at the end of a decimal makes it smaller. It is correct. The digits in the tenths and hundredths places are the same, but in the thousandths place, 9 is greater than 8. It is incorrect because 0.7380 has more digits after the decimal point. It is incorrect. 739 is less than 7,380.
Answer:
It is correct. The digits in the tenths and hundredths places are the same, but in the thousandths place, 9 is greater than 8
Step-by-step explanation:
Given
[tex]0.739 > 0.7380[/tex]
Required
Select the true statement
Analyzing both number base on the place value.
Tenth: 7 = 7
Hundredth: 3 = 3
Thousandth: 9 > 8
Hence, the statement is correct.
Option B answers the question because 9 is greater than 8
A merchant offers a large group of items at 32% off later the merchant takes 16% off the sale prices and claims that the final price of these items is 186 off the original price.
what is the total percent discount?
The total discount was 48% of the original price of $387.50
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the original price.
Discount = (32% of x) + (16% of x) = 0.48x = 48% of x
The final price of these items is 186 off the original price.
x - 0.48x = x - 186
x = $387.50
The total discount was 48% of the original price of $387.50
The solution to the equation 6a = 42 gives a = 7
Find out more on equation at: https://brainly.com/question/2972832
Leo plans to take 24 credit hours of courses during his freshman year of college. Each credit hour costs $350 for in-state tuition. Housing will cost $7,000, and books will cost $800. How much will Leo pay for tuition, housing, and books for his freshman year of college?
Answer:
$16200
Step-by-step explanation:
24 times 350=8400
8400+7000+800
What is the factored form of x^3-1? (x^3-1)(x^2+x+1) (x-1)(x^2-x+1) (x-1)(X^2+x+1) (x^3-1)(x^2+2x+1)
Matt took 12 hours to read a 792 page book.
Which rate best represents the relationship between the number of pages Matt reads to the amount of time it took for him to read it?
A. 67 hours per page
B. 66 pages per hour
C. 65 pages per hour
D. 804 hours per page
The representation of Matt's reading the book is an illustration of unit rates
The best representation of the rate is (b) Matt reads 66 pages per hour
How to determine the representation?
The given parameters are:
Pages = 792 pages
Time = 12 hours
The rate is then calculated as:
Unit Rate = Pages/Time
This gives
Unit Rate = 792/12
Evaluate the quotient
Unit Rate = 66
This means that Matt reads 66 pages per hour
Read more about unit rates at:
https://brainly.com/question/19493296
Okay so the choices of answers are the same on all three and I do need answers for all three :( pls help! Thanks
Answer:
1. >
2. <
3. =
Step-by-step explanation:
Click on the correct equation to show the commutative property. 2 + 3 = 5
Answer:
3 + 2 = 5
Step-by-step explanation:
Remember Commutative Property by thinking about what happens when someone has to "commute" (driving back and forth to work or school) If the numbers in the addition MOVE then it is Commutative Property.
Solve the system of equations. 2y + 77 = -5 5y – 7x = 12 72
Answer:
[tex]y=-41,\:x=-211[/tex]
Step-by-step explanation:
[tex]\begin{bmatrix}2y+77=-5\\ 5y-7x=1272\end{bmatrix}[/tex]
Isolate y for 2y+77=-5:
[tex]y=-41[/tex]
[tex]\mathrm{Substitute\:}y=-41[/tex]
[tex]\begin{bmatrix}5\left(-41\right)-7x=1272\end{bmatrix}[/tex]
[tex]Simplify[/tex]
[tex]\begin{bmatrix}-205-7x=1272\end{bmatrix}[/tex]
Isolate x for -205-7x=1272
[tex]x=-211[/tex]
[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]
[tex]y=-41,\:x=-211[/tex]
In circle B, m DAC = 60°. Solve for v ifmDC = (7x – 42)°. If necessary,
round your answer to the nearest tenth.
Answer: 23.1
Step-by-step explanation:
By the inscribed angle theorem, we know the measure of arc DC is 120 degrees. So, we can set 120=7x-42.
162 = 7x
x = 162/7, which is about 23.1
Describe the steps you can use to find an average of
fractional amounts.
A cube has a side length s of 7 centimeters. The expression 6s2 gives the surface area of the cube and the expression s3 gives the volume. What are the volume and surface area of the cube? NEED HELP NOW!!!!!!
Answer:
Area = 294 cm^2
Volume = 343 cm^3
Step-by-step explanation:
Simply plug in s = 7 into the given equations.
[tex]6s^{2} = 6*7^{2} = 294 cm^{2}[/tex]
[tex]s^{3} = 7^{3} = 343 cm^{3}[/tex]
The radius of a sphere is 3 cm. What is the sphere's volume? Round to the nearest tenth.
Answer:
113.1
I answered this question before with the exact radius, and I remember the answer being this.
Formula:
V=4
3πr3=4
3·π·33≈113.09
Hope this helps!
Answer:
Step-by-step explanation:
the answer is 113.1 cm³
The volume of a sphere of radius r is V = (4/3)πr³.
If the radius is 3 cm and the answer is to be expressed to the nearest tenth, then we get:
V = (4/3)(3.14159)(3 cm)³
= (4/3)(84.82 cm³
= 113.1 cm³