Answer:
For given parallelogram, the value of x = 114° and y = 66°
Step-by-step explanation:
(Refer figure)
Given quadrilateral ABCD is a parallelogram.
m∠A = 66°
m∠B = x°
m∠C = y°
m∠D = 114°
Since by properties of parallelogram, the both pairs of opposite sides of a parallelogram are parallel.
Opposite angles of a parallelogram are congruent ...........................(1)
Consecutive angles of a parallelogram are supplementary ................(2)
Using (1) for given parallelogram ABCD; we get,
m∠B = m∠D
m∠A = m∠C
Therefore x = 114° and y = 66°.
Using (2) to check whether the two consecutive angles are supplementary.
( m∠A + m∠D ) = ( m∠B + m∠C ) = ( m∠C + m∠D ) = 66° + 114° = 180°
Hope it helps!!
help please!! im stuck
Alisa is painting a mural. She used ⅗ can of red paint and 6/7 can of blue paint. Ramon says Alisa used the same amount of red paint as blue paint. Is Ramon correct? Explain your reasoning.
Answer:
No
Step-by-step explanation:
3/5 or 3 ÷ 5 = 0.60
6/7 or 6 ÷ 7 = about 0.8571
these two numbers/decimals are obviously not the same, making them inequivalent
Lorna created a sculpture in the shape of a right rectangular prism. The volume of the sculpture is 2014 cubic meters, the length is 6 meters, and the width is 412 meters.
What is the height of Lorna's sculpture?
Enter your answer as a fraction in simplest form in the box.
Answer:
[tex]\frac{1007}{1236}[/tex]
If a triangle has side lengths of 12,24 and 8 what is the hypotenuse side?
Answer:
24.
Step-by-step explanation:
The hypotenuse of a triangle is simply the slanted side of a triangle and it is always the longest side of any triangle.
Mathematically, the hypotenuse of a triangle is calculated using the Pythagorean theorem;
C² = A² + B²
Where;
C is the hypotenuse i.e the longest side.
A is the opposite side of the triangle.
B is the adjacent side of the triangle.
can a three set problem has negative intersection?
Answer:
yes
Step-by-step explanation:
yes but not a postitive one
Answer:
i think so yeah
Step-by-step explanation:
Help!!!!!!!!!find the equation of the linear function q(16)=1 that is parralel to f(x)=1/3x+39
It wants it in slope intercept form
Answer:
[tex]q(x)= \frac{1}{3} x -\frac{13}{3}[/tex]
Step-by-step explanation:
So you have (16, 1)
When two linear functions are parallel, they have the same slope.
So function q also has a slope of 1/3x. You have a set of points so you can plug them in a slope intercept equation to find b.
y= mx+b
m= slope
y= y-intercept
1= 1/3(16) +b
1 - (16/3) = b
b= -13/3
so then, [tex]y= \frac{1}{3} x -\frac{13}{3}[/tex]
Triangle A'B'C' is the image of triangle ABC under a rotation about point P
a. -165
b. -125
c. 125
d. 165
9514 1404 393
Answer:
a. -165°
Step-by-step explanation:
The line from A through P to A' is almost straight, so an angle near 180° is indicated. In the figure, A' is to the left of the line AP, so clockwise rotation is indicated.
The rotation angle is a negative angle near 180°. The best choice is ...
a. -165°
Answer: A 165
Step-by-step explanation:
trust
10 girls and 15 boys sit a test.
The mean mark for the boys is 70. The mean mark for the girls is 82.
Work out the mean mark for the whole class.
Answer:Mean mark of whole class= 74.8
Step-by-step explanation:
Mean = Total marks of student / Number of students
Total marks of boys = Number of boys x Mean mark for boys
=15 x 70=1,050
Total marks of girls = Number of girls x Mean mark for girls
=10 x 82=820
Mean of whole students = Total marks of student / Number of students
= (1,050 + 820)/ (10+15)
=1870/25
=74.8
PLEASE HELP WITH #4 and #5 (Gina Wilson) Rectangles All Things Algebra
PLEASE HELP, WILL MARK BRAINIEST
Answer:
your answer will be 9 cm
Step-by-step explanation:
I hope this helps u, have a great day !!!
What number would go in the boxes to have the sum of 4?
Answer:
2.964 is the answer.
last one for today......
Answer:
A. 4,200,000 should be your answer
Step-by-step explanation:
hope this helps you
Answer:
A 4,200,000
Step-by-step explanation:
take 4.2 and move the decimal point to the right 6 times. Then fill in the blank spaces with zeros to get the final answer
combine like terms y+3+4(y+4)
please show your work
Answer:
y+3+4y+16 : Apply the distributve property
5y+19 : Add the like terms
Hope this was helpful!
Help me plzzzzzzzzzzzzzzzzzz.
Answer:
13y√ a
Step-by-step explanation:
You can only add radicals if they have the same number inside of the radical, in which these two terms do.
Imagine If you had 6 Apples, and 7 more apples somewhere else, you would have 13 apples in total, right? This is the same principal, You are adding the amount of radical a together, in which you get 13y radical a.
Simplify.
3(x + 4)
12 x
7 x
3 x + 12
3( x + 4)
Answer:
3(x+4) = 3(x) + 3(4)
=3x+12
Let me know if this helps!
The answer is:
3x + 12Work/explanation:
Simplify by distributing 3:
[tex]\sf{{3(x+4)}}[/tex]
[tex]\sf{3\cdot x + 3 \cdot4}[/tex]
[tex]\sf{3x+12}[/tex]
Hence, the answer is 3x + 12.The property used above is the distributive property.
does a debit card use a pin or a credit card, or do both?
What is 4 1/6 as a mixed number
Answer:
25/6
Step-by-step explanation:
You first multiply the denominator by the whole number and add the numerator.
6×4+1=25/6
I hope this helps you:)
Please Help if You Want PRE ALGEBRA
Two lines, M and N, are represented by the following equations:
Line M: y = x + 3
Line N: y = −2x + 6
Which of the following options shows the solution to the system of equations and explains why?
(1, 4), because the point does not lie on any axis
(1, 4), because one of the lines passes through this point
(1, 4), because both lines pass through this point
(1, 4), because the point lies between the two axes
Answer:
Third answer shown
Step-by-step explanation:
Since each equation has a right side equal to the same thing, y, those right sides must be equal to each other.
x + 3 = -2x + 6
Add 2x to both sides. 2x 2x
3x + 3 = 0 + 6
3x + 3 = 6
Subtract 3 on both sides. -3 -3
3x = 3
Divide both sides by 3. x = 1
Now, let's see what y must be if x equals 1.
Line M: y = x + 3 --> y = 1 + 3 --> y = 4
Line N: y = -2x +6 --> y = -2(1) +6 --> y = -2 + 6 --> y = 4, confirmed
So the ordered pair (x, y) that satisfies both equations is (1, 4)
*** This means that if you graphed both lines on an xy-coordinate plane, the point (1,4) would be the point where the two lines intersect.
That is the third answer shown.
Answer:
i think it is the first one..........
What is the greatest common factor of 18 and 50
Answer:2
Step-by-step explanation:
18 divided by 2 equals 9
and for 50 it’s 15 because 50 divided by 2 is 15 so it’s 2
The greatest common factor of 18 and 50 is 2.
What is the Greatest Common Factor (GCF)?Greatest Common Factor is defined as the greatest number that is a factor of both numbers when two numbers are involved.
A number that divides into another number completely is said to be a factor.
To put it another way, any two integers that multiply to produce a result are factors of the result.
We have to determine the greatest common factor of 18 and 50
The prime factorization of 18 is
⇒ 2 x 3 x 3 = 18.
The prime factorization of 50 is
⇒ 2 x 5 x 5 = 50.
The occurrence of common prime factors of 18 and 50 is 2.
So the greatest common factor of 18 and 27 = 2.
Therefore, the greatest common factor of 18 and 50 is 2.
Learn more about the Greatest Common Factor here:
brainly.com/question/18905667
#SPJ2
Pls i need help with this
Answer:
we cant see the picture
Step-by-step explanation:
What is the value of y in this diagram?
A. 61
B. 58
C. 21
D. 138
Answer:
BRAINLIEST
Step-by-step explanation:
Solve the equation: 25-3x=40
A. -15
B. -5
C. -2
D. -4
If maya crew paints the platform at a rate of 720 feet per hour, determine how long to the nearest hour it will take them to paint the entire platform.
2. Adam borrows $6,000 from his parents today for university fees and he promises
to pay a lump sum of $6,900 in 3 years' time. Calculate the following quantities
for the repayment arrangement:
(a) the effective annual interest rate.
(b) the equivalent simple annual interest rate.
Answer:
A) 4.77%.
B) 5%.
Step-by-step explanation:
Given that Adam borrows $ 6,000 from his parents today for university fees and he promises to pay a lump sum of $ 6,900 in 3 years' time, to calculate the effective annual interest rate and the equivalent simple annual interest rate the following calculations must be performed:
A)
6,900 = 6,000 x (1 + X / 1) ^ 3x1
6,900 = 6,000 x 1X ^ 3
6,900 = 6,000 x 1 x 4.77 ^ 3
Thus, the interest rate of said investment is 4.77% per year.
B)
(6,900 - 6,000) / 3 = 300
6,000 = 100
300 = X
300 x 100 / 6,000 = X
30000 / 6,000 = X
5 = X
Thus, the simple interest rate would be 5% per year.
can someone help please
Consider the triangle below. One of the side lengths is unknown.
Find the length of the unknown side in this triangle, rounding your answer to two decimal places (if necessary).
The other side would be 15 meters.
Answer:
b = 13.27
Step-by-step explanation:
b^2 + 7^2 = 15^2
b^2 + 49 = 225
b^2 = 176
b = sqrt(176)
b = sqrt(16 * 11)
b = 4sqrt(11)
b = 13.27
A tiger weighs 600 pounds. It
loses 4 pounds each year.
Write the equation for the
tiger's weight.
um another Distributive Property question ahah,
Answer:
x=7
Step-by-step explanation:
im smart
Someone Help meeee !!!1
Step-by-step explanation:
I might be able to help what exactly is the question?
Including an 18% tip, Ms. Guy and her friends spent $74.93 on dinner. What was the cost of the dinner excluding the tip?
Answer:
61.45
Step-by-step explanation:
Answer:
$61.40
Step-by-step explanation:
I solved this question by using the O.P.N if you don't know what the O.P.N Chart is here is what it means.
The O represents the original price.
The P represents the percent
and Finally the N represents the New cost.
Use the image below to see how to use the O.P.N Chart and how I solved this question.
If you have any other questions call me using my phone number "551 - 263 - 6579" or "+ 551 - 263 - 6579"
Use the Distributive Property to expand the expression.
0.4(50m - 20n)
The simplified expression is
Answer:
20m-8n
Step-by-step explanation:
0.4*50m=20m
20+_
0.4*-20n=-8n
20m+-8n
20m-8n
what is 2+2? tell me please