JKLM is a rectangle. if JL = 4x - 12 and MK = x, what is the value of x? what is the length of each diagonal?
Answer:
x = 4
The diagonals are both 4
Step-by-step explanation:
The fact that the two sides have no letter in common indicates that they are opposite each other or a diagonal. In this case the length is a diagonal. Diagonals in a rectangle are equal.
4x - 12 = x Add 12 to both sides
4x - 12 + 12 = x + 12 Subtract x from each side
4x - x = 12
3x = 12 Divide by 3
3x/3 = 12/3
x = 4
One of the diagonals = 4 because it is x.
A large rectangular office measures 9 yards by 15 yards. What is the area of the office?
Answer:
135
Step-by-step explanation: 9x15=135
Find the solution(s) to the system of equations. Select all that apply.
y=x²-4
y=-x-2
The solution will be the intersection points thus options A (1,-3) and B (-2,0) will be correct.
What is a graph?The graph is a geometrical representation of a function and can be plotted by taking x's and y's corresponding values within the interval.
For example plot of y = x³ ,y = sinx.
The solution will be the intersection points of both functions.
At the intersection point,
x² - 4 = -x - 2
x² + x - 2 = 0
x² + 2x - x - 2 = 0
x(x + 2) - (x + 2) = 0
(x - 1)(x + 2) = 0
x = 1,-2
At x = 1
y = -1 - 2 = -3 so first intersection is (1,-3)
At x = -2
y = -(-2) - 2 = 0 so second intersection is (-2,0)
Hence "The solution of the given system of equations is (1,-3) and (-2,0)".
To learn more about graphs,
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Factor the trinomial
3x^2+12x+9
Answer:
x^2 + 4x + 3
Step-by-step explanation:
divide everything by 3
A teacher bought pencils for $14.99, but she knows the store bought them for $8.50. What is the percent markup to the nearest whole?
Answer:
20
Step-by-step explanation:
23 would be the answer but its rounding to the nearest whole
If the radius of Brenda's bicycle wheel is 13 inches, approximately how many inches are there in the circumference of the wheel?
Answer:
There are approximately 82 inches
Step-by-step explanation:
Here, we want to calculate the circumference of the wheel
To do this, we are going to use the formula for the circumference of a circle
C = 2 * pi * r
C = 2 * pi * 13
= 26 * pi
C = 81.7 inches which is approximately 82 inches
The length of two sides of a right triangle are leg: 9 m and hypotenuse: 15 m. Find the length of the third side.
Answer:
Length of Third Side = 12 m
Step-by-step explanation:
You can use the Pythagorean Theorem to solve this: a² + b² = c² or c² - b² = a² in which a and b are legs, and c is the hypotenuse. We use the second equation to solve this: 15² - 9² = a² or 225 - 81 = a². This simplifies to 144 = a². To find a specifically, find the square root of 144, 12.
Hope it helps!
NOBODY RESPONDED ON MY LAST QUESTIONS BUT I NEED HELP!!!!
Answer:
Step-by-step explanation:
4a:(3)
4b: d=don dx3=
a coach ordered 6 soccer goals for $678. how much did each goal cost
Answer:
$113
Step-by-step explanation:
$678 / 6 =
$113 each
Hope that helps!
Find the length of the arc
Answer:
23.6 or 1 4 × π × 8 = 2 π if its not right let me know
Step-by-step explanation:
-2x+2>3x-8
50 points
Given:
The inequality is
[tex]-2x+2>3x-8[/tex]
To find:
The solution of the given inequality.
Solution:
We have,
[tex]-2x+2>3x-8[/tex]
Isolate the variables terms on the left side.
[tex]-2x-3x>-2-8[/tex]
[tex]-5x>-10[/tex]
Divide both sides by -5 and change the inequality sign as we divide the equality by a negative value.
[tex]\dfrac{-5x}{-5}<\dfrac{-10}{-5}[/tex]
[tex]x<2[/tex]
Therefore, the correct option is D.
how to solve this one
VX
Find the mean of the data set shown below. Round to the nearest tenth, if necessary.
This Week's High Temperatures (°F)
29, 38, 45, 31, 50, 58, 62
Answer:
44.7
Step-by-step explanation:
Find the mean of the data set shown below. Round to the nearest tenth, if necessary.
This Week's High Temperatures (°F)
29, 38, 45, 31, 50, 58, 62
The formula for the Mean of a given set of data is
= Sum of terms/ Number of terms
Number of terms = 7
Hence,
Mean = 29+ 38+ 45+ 31+ 50+ 58+ 62/7
Mean = 44.714285714286
Approximately to the nearest tenth= 44.7
Mr. DiBello ordered pizzas for a party and organized the information into a table. If Mr. DiBello paid a total of $121.55, how many large pizzas did he order?
I need help ASAP PLEASEEEEEEEE
Answer:
g has an average rate of change of zero at the intervals [-5,4] and [-2,2]
Step-by-step explanation:
When we talk of the average rate of change, we mean the change in y values divided by the change in x values
Once the change in y-values is zero, then over that interval, the average rate of change is zero
at the point t =- 5, g(t) = 6; at the point t = 4, g(t) = 6
As we can see here, within the interval [-5,4]; the average rate of change is 0
This same pattern is repetitive at points or ranges where we have same values for g(t)
such as;
[-2,2]
Find the volume. Round your answer to the nearest tenth and show your work
Will Gove brainliest:)
Does this table represent a linear or nonlinear function? Explain.
April, x, slept 9 hours; Evelyn slept 2/3
less than that.
Evelyn slept _______________ hours. Write the equation as both a decimal and fraction.
Answer:
she slept for 3 hours
Step-by-step explanation:
its actually simple so we know that April slept for 9 hours bug Evelyn only slept 2/3 of 9 hours and if you add 1/3 and 2/3 you get 3/3 which equals a whole so all you have to do is devide 9 into 3 and you get 3 parts with 3 now you add 3 and 3 together and that equals 6 and that was two parts you added which is equaled to 2/3 so all you have to do now is subtract 9-6 and you leave with three which is 1/3 so we come to the final answer she slept for three hours
sorry for such a long explanation
find the solution of given expression
[tex] \sqrt{64\times 9} [/tex]
Answer:
[tex]\sqrt{64\cdot \:9}[/tex]
[tex]=\sqrt{576}[/tex]
[tex]=\sqrt{24^2}[/tex]
[tex]=24[/tex]
Which statement best describes the main theme of the short story?
A. People act in suprising ways in order to fit in with orders
B. People who bully other people are often Insecure themselves
C. People might not realize that their actions or words are hurtful.
D. People who have a fear of public speaking just need more practice
Story: The Fan Club (Common Lit)
Answer:
c- people might not realize there words/actions are hurtful
Write the decimal as a percent.
20= .......?%
Answer:
20%
Step-by-step explanation:
question in the picture
c= 50+75t
it is less expensive to purchase the $750 software
Find the value of x. If necessary, write your answer in simplest radical form. 30 x 25 x nothing (Simplify your answer. Type an exact answer, using radicals as needed.)
Answer:
x = 38.05
Step-by-step explanation:
Using the Pythagoras theorem to find x
x is the hypotenuse
The other sides are opposite and adjacent
x² = 30²+25²
x² = 900+625
x² = 1525
x = √1525
x = 39.05
Will give brainliest plz help me and explain how to do it
Answer:
exact form -108/5, decimal form -21.6, and mixed number form -21 and 3/4
What is the area of a semicircle that has a radius of 20 feet?
Answer:
[tex]200\pi[/tex] or 628.3185
Step-by-step explanation:
Area of a semicircle is equal to [tex]\frac{\pi r^{2}}{2}[/tex]. So, when the radius is 20, the area of the semicircle will be [tex]\frac{\pi (20)^{2} }{2} =\frac{400\pi }{2} =200\pi =628.3185[/tex].
Evaluate the expression. 5/8 + 1/4
Answer:
7/8
Step-by-step explanation:
HELP HELP PLS
What was the outcome of the Spanish-American War?
A: The united states gained Cuba and Bahamas.
B: The united states gained the Philippines, Puerto Rico, and Guam
C: The united states gained Alaska and Hawaii
D: The united states gained Panama and Columbia
What is 70 + 4 rounded to the nearest ten?
Answer:
Step-by-step explanation:
We round the number up to the nearest ten if the last digit in the number is 5, 6, 7, 8, or 9.
We round the number down to the nearest ten if the last digit in the number is 1, 2, 3, or 4. If the last digit is 0, then we do not have to do any rounding, because it is already to the ten.
Answer:
70
Step-by-step explanation:
70+4= 74
Find the number in the spot (tens place/7) go next door see what you go (4) Five or more you raise the score, four or less you let it rest.
4 is four or less so you let it rest by replacing it with a zero.
Answer= 70
Could someone please help me with this question due in 3 minutes (ASAP)
Answer:
Area of a rectangulor pentagon =(1/2)(apothem)(perimeter)
apothem=6.5cm
perimeter=6.5
Step-by-step explanation:
What is the absolute value of 17.5?
Answer:
18
Step-by-step explanation:
Rounding it off to nearest 10th place . Since the decimal value is 5 it will round off to +1 , That becomes , 17 + 1 = 18
The absolute value of 17.5 is 17.5