Answer:
59
Step-by-step explanation:
The diagonals of an isosceles trapezoid are equal.
MO and NP are diagonals. Therefore MO = NP
12y - 37 = 5y + 19
7y = 56
y = 8
MO = 12(8) - 37 = 96 - 37 = 59
NP = 5(8) + 19 = 40 + 19 = 59
7 units are the measurement of the segment NP.
What is a polygon?In Mathematics, a polygon can be defined as a two-dimensional geometric figure that consists of straight line segments and a finite number of sides. Additionally, some examples of a polygon include the following:
• Triangle
• Quadrilateral
• Pentagon
• Hexagon
• Heptagon
• Octagon
• Nonagon
Generally speaking, the measure of the angle at the center of a regular polygon is equal to 360 degrees. Therefore, the smallest angle of rotation that maps (carries) a regular polygon onto itself can be calculated by using this formula:
α = 360/n
Since MNOP is an isosceles trapezoid, the non-parallel sides MN and OP have the same length. Therefore, we can set up an equation using the given lengths of the sides:
MP = NO
Substituting the given expressions for these lengths, we get:
16x - 13 = 9x + 8 + 5y + 19
Simplifying and rearranging terms, we get:
7x - 5y = 36 ........(1)
Similarly, we can set up another equation using the given lengths of the diagonals MO and PN:
MO + PN = MP + NO
Substituting the given expressions for these lengths, we get:
12y - 37 + 5y + 19 = 16x - 13 + 9x + 8
Simplifying and rearranging terms, we get:
17y - 16x = 42 ........(2)
Now, we have two equations (1) and (2) with two variables (x and y). Solving this system of equations, we get:
x = 7, y = 9
Substituting these values back into the given expressions for PN and NO, we get:
PN = 5y + 19 = 5(9) + 19 = 64
NO = 9x + 8 = 9(7) + 8 = 71
Therefore, the measure of segment NP is:
NP = NO - PN = 71 - 64 = 7
So, the measure of segment NP is 7 units.
Read more on regular polygon here:
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factor the expression 9r2-4
Answer: Hieee! So the answer to this problem is (3r-2)(3r+2) I think...
Step-by-step explanation:
Answer:
9(r - 5)(r - 1)
Step-by-step explanation:
A coin purse contains d dimes and q quarters. There are 35 coins in the purse, and the total value of the coins is $5.60. Create the system of linear equations and use it to find how many dimes and quarters are in the purse.
Answer:
14 dimes, 21 quarters
Step-by-step explanation:
Represent dimes with d and quarters with q.
So: 35 coins means
[tex]d + q = 35[/tex]
1 dime = $0.10 and 1 quarter = $0.25. So, a value of $5.60 means
[tex]0.10d + 0.25q = 5.60[/tex]
So, the system of equations is:
[tex]d + q = 35[/tex]
[tex]0.10d + 0.25q = 5.60[/tex]
Make d the subject in [tex]d + q = 35[/tex]
[tex]d = 35 - q[/tex]
Substitute 35 - q for d in [tex]0.10d + 0.25q = 5.60[/tex]
[tex]0.10d + 0.25(35 - q) = 5.60[/tex]
Open bracket
[tex]0.10d + 8.75 - 0.25q = 5.60[/tex]
Collect Like Terms
[tex]0.10d - 0.25q = 5.60 - 8.75[/tex]
[tex]-0.15q = -3.15[/tex]
Solve for q
[tex]q = \frac{-3.15}{-0.15}[/tex]
[tex]q = 21[/tex]
Substitute 21 for q in [tex]d = 35 - q[/tex]
[tex]d = 35 - 21[/tex]
[tex]d = 14[/tex]
PLZ HELP ME ASAP
Its mathematics.
Answer:
The height is 15 cm. The volume is 6000 cm³
Step-by-step explanation:
The base is square, so the sides are equal.
√400 = 20. This is the length and width of the cuboid.
The area of the base and the area of the top face are equal, so we subtract 2(400) from the total area to get the area of the remaining 4 faces.
2000 - 800 = 1200 cm²
Divide by 4 to get the area of an individual face.
1200/4 = 300 cm²
We found the width earlier: 20cm
We found the width earlier: 20cm300/20 = 15cm. This is the height.
To find Volume, multiply Area of the base times the height:
400cm²×15cm = 6000cm³
Answer:
this is your answer. best of luck.
Look at the hundredths grids below. Which mathematical equation accurately depicts which decimal is greater and less than?
A. 0.92 > 0.95
B. 1.92 < 0.95
C. 0.92 < 0.95
D. 0.90 < 0.95
Factor as the product of two binomials. x^2-9x+20
Answer:
(x-4)(x-5)
That is the answer, hope it helps.
PLEASE HELP ILL MARK AS BRAINLIEST!!!!
Maria louisa looks at a sequence of shapes and records the number of vertices in each of the shapes in the sequence. The first shape has 9 vertices, the second shape has 13 vertices, and the third shape has 17 vertices.
If maria louisa assumes that the number of vertices in the sequence of the shapes follows the same pattern, how many vertices would she expect the 24 shape to have?
A)87
B)97
C)101
D)105
E)109
Answer:
105
Step-by-step explanation:
add 9 then multiply 24 x 4 = 96 then do 9+96=105
PLEASE HELP! I WILL GIVE BRAINLIEST!
Your Answer is $0.5 or 1/2
Find the measure of angle A
Answer:
24 minus 12 plus 6
Step-by-step explanation:
minus 12
Answer:
43 Degrees
Step-by-step explanation:
(3x + 16) + (6x + 1) + (82) = 180 Degrees
180 - 82 = 98 Degrees
(3x + 16) + (6x + 1) = 9x + 17
9x + 17 = 98
98 - 17 = 81
81 / 9 = 9
x = 9
6(9) + 1 = 55 Degrees
3(9) + 16 = 43 Degrees
55 + 43 + 82 = 180 Degrees
Is this right. Please help me I will make you Brainliest
Anyone know what the answer is for this
Answer:
x^9
Step-by-step explanation:
If we have x^2 * x^3 we have (x * x) * (x * x * x) = x * x * x * x * x = x^5 which demonstrates that x^a * x^b = x^(a+b), 4 + 5 = 9
Answer:
x²⁰
Step-by-step explanation:
x⁴ * x⁵
= x^(4*5)
= x²⁰
Name a pair of the supplementary angles
Answer:
a.CEA AND DEA
is pair of the supplementary angles
Cannnn SOMEONE HELP PLEASEEE
Answer:
C
Step-by-step explanation:
is -5.13 a:
whole number
rational number
integer
irrational number
Answer:
Whole numbers are 1, 2, 3, 4, and so on. Integers can be whole numbers or they can be whole numbers with a negative sign in front of them. Individuals often refer to integers as the positive and negative numbers.
Step-by-step explanation:
I usually stick to this: Name Numbers Examples Whole Numbers { 0, 1, 2, 3, 4, ... } 0, 27, 398, 2345 Counting Numbers { 1, 2, 3, 4, ... } 1, 18, 27, 2061 Integers { ... −4, −3, −2, −1, 0, 1, 2, 3, 4, ... ... −15, 0, 27, 1102 soo i didnt give u the answer but i gave u examples and my strategy
If y=5 then what is 7+2y2 . I needed help
Answer:
57
Step-by-step explanation:
Remember when an exponent is given and says to solve for any variable, you will plug the number in the variable ( the number given for the variable ) and first solve for exponent. Then solve the rest. Hope this helps, thank you !!
-6a - 4 + 7a + 2 —— i dont really understand haha
Answer:
−2
Step-by-step explanation:
Solve for x:
5x - 4 = 41
Answer:
9
Step-by-step explanation:
5x - 4 = 41
add
5x = 45
divide
x = 9
Answer:
x = 9
Step-by-step explanation:
First, add 4 to both sides.
5x - 4 + 4 = 5x (+4 and -4 cancel one another out, leaving just 5x)
41 + 4 = 45
So, we get 5x = 45
Divide by 5 on both sides.
5x/5 = x (Again, 5 is cancelled out)
45/5 = 9
We get x = 9
Drink Pipsi
Price
$1.50
You have decided to increase your drink
price by $1.00. What is the percent of
change?
Please show your work
Answer:
plus 33.333...
Step-by-step explanation:
100/3=33.333...
so it becomes $2.5=133.333...
WILL GIVE BRAINLIEST FOR CORRECT ANSWER ! Mike and Ryan are playing in a rectangular swimming pool. They are at opposite corners of the pool, as shown in the following illustration.
Answe they will swimm tords each other
Step-by-step explanation:
you have to catch me first
Kelli is searching for a new daycare center for her child. At Lori's Local Daycare, there is a ratio of 2 caretakers for every 7 children. If there are 189 total children, then how many people are at the daycare facility?
Answer:
243 people
Step-by-step explanation:
Kelli is searching for a new daycare center for her child. At Lori's Local Daycare, there is a ratio of 2 caretakers for every 7 children. If there are 189 total children, then how many people are at the daycare facility?
The ratio is given as:
Caretakers : Children
2 : 7
= In fraction = 2/7
If there are 189 total children, then how many people are at the daycare facility?
Step 1
We calculate the number of caretakers is there are 189 children
7 children = 2 caretakeras
189 children = x
Cross Multiply
7x = 189 × 2
x = 189 × 2/7
x = 54 caretakers
Step 2
The total number of people at the daycare
= 189 children + 54 caretakers
= 243 people
I need help on this one pls asap
Answer:
41
Step-by-step explanation:
40^2+9^2=1681
the square root of 1681 is 41
Answer:
[tex]c^{2}[/tex] = 41
Step-by-step explanation:
[tex]9^{2}[/tex] + [tex]40^{2}[/tex] = [tex]c^{2}[/tex]
81 + 1600 = [tex]c^{2}[/tex]
1681 = [tex]c^{2}[/tex]
[tex]\sqrt{1681}[/tex] = 41
Coach Pettaway is buying basketball equipment for his team. He gets a
reduced rate if he buys 8 basketballs for every 3 jerseys. The reduced rate is $2.25
per basketball and $22.50 per jersey. The sales tax on each item is 6%. Coach
Pettaway has $400 in his budget to buy the basketballs and jerseys. What is the
greatest number of basketballs and jerseys he can buy at the reduced rate if the
ratio of basketballs to jerseys is 8:32 Show your work.
PLEASE ANSWER THE BLANKS ASAP
Answer:
Slope is 2/1x
Y- intercept = 12
Equation is y = 2x + 12
How can you solve real-world and mathematical problems with numerical and algebraic equations and inequalities?
pls help due soon will give branliest
Answer:
Algebra can be applied to the temperature in different places that both change, height of a growing child over time, the speed of a car that changes over time (mph), and the age of people that increases over year.
Step-by-step explanation:
Solve for a.
a + (−5) = 12
Answer:
a = 17
Step-by-step explanation:
a + (-5) = 12
Open the bracket;
a - 5 = 12
Add 5 to both sides
a - 5 + 5 = 12 + 5
Therefore,
a = 17
Answer:
a=17
Step-by-step explanation:
any number plus a negative number is basically subtracting the absolute value of the negative number. so 12 + 5 = 17
A rectangular garden is 5m longer
than it is wide.
The area of the garden is 600m2
Calculate the width and length of the garden.
Answer:
The width of the garden is 22.12 m and its length is 27.12 m
Step-by-step explanation:
Equations
Let x = width of the garden
The length is 5 m longer than the wide, thus:
x + 5 = length of the garden
The area of the rectangular garden is
A=x(x+5)=600
Operating:
[tex]x^2+5x-600=0[/tex]
Solving with the quadratic formula:
[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
Where a=1 b=5 c=-600:
[tex]\displaystyle x=\frac{-5\pm \sqrt{5^2-4(1)(-600)}}{2(1)}[/tex]
Operating:
[tex]\displaystyle x=\frac{-5\pm \sqrt{25+2400}}{2}[/tex]
[tex]\displaystyle x=\frac{-5\pm \sqrt{2425}}{2}[/tex]
There are two solutions:
x = 22.12
x = -27.12
The negative solution is not valid because x is the width of the garden, thus
x = 22.12 m
And
y = 22.12 + 5 = 27.12 m
The width of the garden is 22.12 m and its length is 27.12 m
A. Solve the following linear equations.
2.) y - 18 = 32
3.)x/1.3=-6
4.) b/4=3/8
5.)3x-53=-16
6.)8x-7+2x=6+5x+2
7.) 7x-1=9-5x
Answer:
2. y = 50
3. x = 7.8
4. x = 3/5
5. x = 23
6. x = ?
I don't know 6 answer...
URGENT PLEASE HELP WILL GIVE BRAINLIEST
Answer:
Slope = 4
Rule: y= 4 x +8
X- intercept when y = 0
X = -2
did it on edjinuty and got it right
The distance between two cities on a map is 4 Inches. The actual distance between the two citles is 24 miles.
a. What is the scale used on the map?
b. If the scale on a different map of the same area Is Inch = 1 mlle, how many Inches separate the same two cities?
help with question 1
Answer:
si=Ptr/100
and di solution
expand and simplify (3X+1)(2X+4)
Answer:
6x square +14x+4
Step-by-step explanation:
hope this helps................
Answer:
6x^2+14x+4
Step-by-step explanation:
6x^2+12x+2x+4
6x^2+14x+4