∠P = 40°; ∠S = 140° answer
Step-by-step explanation:
The measures of angles of the parallelogram are ∠P = 140°; ∠S = 40°
What is a Parallelogram?A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure
The four types are parallelograms, squares, rectangles, and rhombuses
Properties of Parallelogram
Opposite sides are parallel
Opposite sides are congruent
Opposite angles are congruent.
Same-Side interior angles (consecutive angles) are supplementary
Each diagonal of a parallelogram separates it into two congruent triangles
The diagonals of a parallelogram bisect each other
Given data ,
Let the parallelogram be represented as PQRS
Now , the measures of angles of parallelogram are
The measure of m∠Q = ( x + 15 )°
The measure of m∠P = ( 6x - 10 )°
where ∠Q and ∠R are supplementary to each other
For a parallelogram , same-side interior angles (consecutive angles) are supplementary
On simplifying , we get
m∠Q + m∠P = 180°
( x + 15 ) + ( 6x - 10 ) = 180
7x + 5 = 180
Subtracting 5 on both sides , we get
7x = 175
Divide by 7 on both sides , we get
x = 25
And , the measure of ∠Q = 40° = measure of ∠S
The measure of ∠R = 140° = measure of ∠P
Hence , the measures of angles of parallelogram are solved
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solve the inequality
-25/12 ≤ v + 5/3
Karen says the functions f(×)=×+3 and g(×)= -×+7 intersect at x=2 is she correct
Answer:
Yes.
Step-by-step explanation:
To find the point of intersection we solve the system:
y = x + 3
y = -x + 7 Subtract:
0 = 2x - 4
2x = 4
x = 2.
She is correct.
Answer:
yes
Step-by-step explanation:
Given the 2 equations
y = x + 3 → (1)
y = - x + 7 → (2)
Substitute y = x + 3 into (2)
x + 3 = - x + 7 ( add x to both sides )
2x + 3 = 7 ( subtract 3 from both sides )
2x = 4 ( divide both sides by 2 )
x = 2
Thus the functions intersect at x = 2
Question 1: The slope of the line that goes through (5,12) and (10,9) is?
Question 2: The y-intercept of the line that goes through (5,12)and (10,9) is?
PLEASE HELP ME OUT I NEED HELP
If someone could answer this, that'd be great!
(359x+1000)-(175x+.50m+62.36)
(2.0 x 10-3) (3.5 x 10)
What is the value of the expression?
Answer:
595
Step-by-step explanation:
SOLUTION STEPS
(2.0×10−3)(3.5×10)
Multiply 2 and 10 to get 20.
(20−3)×3.5×10
Subtract 3 from 20 to get 17.
17×3.5×10
Multiply 17 and 3.5 to get 59.5.
59.5×10
Multiply 59.5 and 10 to get 595.
595
-64 divided by 8 Equals
Answer:
-8
Step-by-step explanation:
do exactly the same as you would for a positive number.
a negative and a positive make a negative so your answer should be negative
Answer:
-64 divided by 8 Equals
-8
Which pairs of triangles appear to be congruent? Check all that apply
Answer:
B, D, and F
Step-by-step explanation:
Answer:
B and E
Step-by-step explanation:
B because they are both congruent the only difference is that shape 4 is in a angle and E the only difference is that 2 is bigger but they are still congruent.
Find the distance between the two points to the nearest tenth. (0,-5) and (-4,2) 5 5.3 5.2 5.6
Students in Mr. Lewis's class are reading a book that has 280 pages. Ramon decides to read 25% of the book each night. How many pages will Ramon read each night?
Answer:
Ramon will read 70 each night.
Step-by-step explanation:
25% of 280
REMEMBER: "Of" means to multiply
25% x 280
Convert the percent into a decimal
0.25 x 280 = 70
So Ramon will read 70 pages each night.
Hope this helps!!
how important is writing the polynomial in standard form when dividing polynomial
I NEED HELP ASAP!!!!!!!
Step-by-step explanation:
We know that m<1 = m<2 ( being alternate angels) So,
4+ 12x = 11x +12
12x - 11x = 12 - 4
x = 8
Therefore x = 8
Now
m<1 = 4 + 12 * 8
= 4 + 96
= 100
Hope this helps. :)
32. Exercise Ahmit gets
exercise on the weekend by
working around the house.
On Saturday, he worked for
3 hours mowing the lawn and
raking leaves; He burned
885 Calories.
a. Write a system of
equations that can be used
to describe the amount
of time Ahmit worked and
the number of Calories
he burned by mowing
and raking
b. Determine how much time Ahmit spent on mowing and raking.
Answer:
X: time mowing lawn (325 Cal/hour)
Y:time raking leaves (275 Cal/hour)
325X + 275Y = 885
3 - X = Y
(1.2 hours mowing the lawn, 1.8 hours raking leaves)
Step-by-step explanation:
you forgot to include vital information. When ahmit rakes leaves, he loses 275 calories per hour. When he mows the lawn, he loses 325 calories per hour according to the textbook you got this from. If he works for 3 hours, you need to find the portion of each activity he did by working backwards from the total calories lost, 885.
A student places a mirror on the ground between herself and the tree so that she can see the top of the
tree in the middle of the mirror. Are the two trangles formed, similar? If yes, what is the height of the
tree? (GSRT 5)
A}Yes, 10 ft.
B) Yes, 12 ft.
Yes, IA ft
6 ft
Dj No, the trangles are not similar
16 ft
8t
Answer:
i think its a
Step-by-step explanation:
PLEASE ANSWER 19 PLEASE
Answer:
Step-by-step explanation:
Neither
Sora correctly solved this inequality.
-2. 1w> 12.81
w<-6.1
Which graph matches the inequality?
Answer: The third one
Step-by-step explanation: open circle, with crocodile sign pointing to right which means u have to go left! Have a nice day!!
Answer:
C) a number line going from negative 6.5 to negative 5.8. An open circle is at negative 6.1. Everything to the left of the circle is shaded.
Step-by-step explanation:
Open circle means < or >
Closed circle means < or >
So has to be an open circle since the sign is <. it also says w < -6.1
so w has to be less than -6.1. So less than -6.1 would be -6.2, -6.3, -6.4etc.
Solve for r
96=84-12r
Answer:
-1
Step-by-step explanation:
96=84-12r
96-84=-12r
12=-12r
-1=x
x=-1
i need these from least to greatest A.11^4/11^11 B.1/11^-4 C.(11^-3)^-3 D.11^5•11^2
this is for 30 points
Answer:
[tex] \frac{ {11}^{4} }{ {11}^{11} } < \frac{1}{ {11}^{ - 4} } < {11}^{5} . {11}^{2} < ( {11}^{ - 3} )^{ - 3} [/tex]
Step-by-step explanation:
[tex]A) \frac{ {11}^{4} }{ {11}^{11} } = {11}^{4 - 11} = {11}^{ - 7} \\ \\ B)\frac{1}{ {11}^{ - 4} } = {11}^{4} \\ \\C) ( {11}^{ - 3} )^{ - 3} = {11}^{ - 3( - 3)} = {11}^{9} \\ \\ D){11}^{5} . {11}^{2} = {11}^{5 + 2} = {11}^{7} \\ \\ \because \: {11}^{ - 7} < {11}^{4} < {11}^{7} < {11}^{9} \\ \\ \therefore \: \frac{ {11}^{4} }{ {11}^{11} } < \frac{1}{ {11}^{ - 4} } < {11}^{5} . {11}^{2} < ( {11}^{ - 3} )^{ - 3} [/tex]
Answer:
A.11^4/11^11
Step-by-step explanation:
Help get brainiest if u help
Answer:
32ft by 20ft
Step-by-step explanation:
8x4 and 5x4
Solve for x in the following equation: 2x+3=9
Answer:
x= 3
Step-by-step explanation:
2x+3=9
2x = 6
x=6/2
x=3
What should be done to both sides of the equation in order to solve -5m = -40?
A. Divide by -5.
B. Divide by -40.
C. Multiply by -5.
D. Multiply by -40.
Answer:
A
Step-by-step explanation:
Isolate M
Divide -5
Answer:
a
Step-by-step explanation:
problem: – 12 = - Зу
Answer:
4y or 4 (divide)
Step-by-step explanation:
Answer:
y = 4
Step-by-step explanation:
Is this what you wanted?
how can you determine the additive inverse of a number. What is the sum of a number and its additive inverse?
Answer:
An example can be 14 + (-14) = 0
Whenever you encounter a problem like the one I put, your answer should ALWAYS be 0 because you start with 14. Now take away 14 you end up with 0.
Step-by-step explanation:
Hope this helps!
3) FUNDRAISING At a fundraising event, $10 is donated for every mile ran.
Write a function to represent the situation.
*
A. O d=10m
B. O d=m+10
C. O d=10m + 10
D. O dem
10
Answer:
A
Step-by-step explanation:
if 3 miles for example were ran you would of course get $30 and the equation I used to figure that out was d=10(3) or with a variable d=10m
Below is the graph of linear equation F(x)-2x-4
AL
1. Which point represents the grach's yntercept?
A. Part A C. Point
B. Parte D. Point
2 Which point represents the grach's recept?
A. Porta C. Point
B. Part 3
D. Ponto
1 Which ont represents the grach's 2007
A. Part C. Ponto
B Parts D. Point
Answer:
1. B. point B.
2. C. point C.
3. C. point C.
Step-by-step explanation:
1. In order to find the graph's y-intercept, we need to locate the point where the line crosses the y-axis. This will always happen at x=0, therefore, the y-intercept is located at point B (0,-4)
2. In order to find the x-intercept, we need to find the point where the line crosses the x-axis. This will generally happen when y=0, so that will be point C (2,0)
3. In order to find the graph's zero, we need to find the point where y=0. In other words, the graph's zero is the point where the function is equal to zero (the x-intercept) so this will br point C again (2,0)
Use the sine rule to calculate BC :)
Answer:
BC≈12.2
Step-by-step explanation:
As we know
24/sin(100°)=BC/sin(30°)
BC=sin(30°)×24/sin(100°)
BC=1/2×24/sin(100°)
BC=12/sin(100°)
BC=12.2 (approximately)
Answer:
BC≈12.2
Step-by-step explanation:
Hope this helped have an amazing day!
Find all real values of x that satisfy the equation x^2 - 7x = 98.
Answer:
-7, 14
Step-by-step explanation:
We start by writing this in the form $x^2 + bx + c = 0$, so we subtract 98 from both sides of the equation.
This gives us $x^2 - 7x - 98 = 0$. We proceed by factoring $x^2 - 7x - 98$, so we seek numbers that multiply to $-98$ and add to $-7$. We find that $7$ and $-14$ work.
Thus, our equation becomes $(x + 7)(x - 14) = 0$. We can now apply the fact that if the product of two real numbers is zero, then at least one of the real numbers must be 0.
Solving $x + 7 = 0$ and $x - 14 = 0$, we find that the solutions are $\boxed{x =-7~\text{and}~x = 14}$.
The value of the equation is given by x = 14 or x = -7
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
x² - 7x = 98 be equation (1)
Subtracting 98 on both sides of the equation , we get
x² - 7x - 98 = 0
Now , on simplifying the equation , we get
x² - 14x + 7x - 98 = 0
Taking x as the common factor of the equation , we get
x ( x - 14 ) + 7 ( x - 14 ) = 0
On further simplification , we get
( x + 7 ) ( x - 14 ) = 0
Now , the two solutions to the equation is
( x + 7 ) = 0
Subtracting 7 on both sides of the equation , we get
x = -7
( x - 14 ) = 0
Adding 14 on both sides of the equation , we get
x = 14
Therefore , the value of A is 14 or - 7
Hence , the equation x² - 7x - 98 = 0 has the solutions of 14 and -7
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exposed clout chaser
Answer:
lol thanks for the free points
Step-by-step explanation:
Answer:
Exposed UwU
Have a great day
A new car, valued at $28,000, depreciates at 9% per year. What is the value of the
car one year after purchase?
Answer:
25480
Step-by-step explanation:
28000 x 0.91
While organizing her DVD collection, Jessica put 5 DVDs on the first rack, 10 DVDs on the second rack, 20 DVDs on the third rack, 40 DVDs on the fourth rack, and 80 DVDs on the fifth rack. If this pattern continues, how many DVDs will Jessica put on the sixth rack?
Answer:
160
Step-by-step explanation:
Number of DVDs put on the first rack = 5
Number of DVDs put on the second rack = 10
If we closely observe, the number of DVDs on the second rack is nothing but number of DVDs on the first rack multiplied by 2.
Number of DVDs put on the third rack = 20
If we closely observe, the number of DVDs on the third rack is nothing but number of DVDs on the second rack multiplied by 2.
Number of DVDs put on the fourth rack = 40
If we closely observe, the number of DVDs on the fourth rack is nothing but number of DVDs on the third rack multiplied by 2.
Number of DVDs put on the fifth rack = 80
If we closely observe, the number of DVDs on the fifth rack is nothing but number of DVDs on the fourth rack multiplied by 2.
Therefore, to find the number of DVDs on the sixth rack as per similar pattern, we need to multiply the number of DVDs on the fifth rack with 2.
Number of DVDs on the sixth rack = [tex]80\times 2 = \bold{160}[/tex]