Answers
Answer:
61°Step-by-step explanation:
Opposite angles in parallelogram are congruent:
6x - 17 = 4x + 96x - 4x = 9 + 172x = 26x = 13m∠D = 6*13° - 17° = 61°
Answer:
[tex]m\angle D = 61\textdegree[/tex]
Step-by-step explanation:
In a parallelogram, opposite angles are congruent, so they have the same measure by the definition of congruence. Therefore, [tex]\angle B \cong \angle D[/tex], so [tex]m\angle B = m\angle D[/tex]. We are given the measures of these two angles, so we can write the following equation to solve for [tex]x[/tex]:
[tex]4x+9=6x-17[/tex]
Solving for [tex]x[/tex], we get:
[tex]4x+9=6x-17[/tex]
[tex]-2x+9=-17[/tex] (Subtract [tex]6x[/tex] from both sides of the equation)
[tex]-2x=-26[/tex] (Subtract [tex]9[/tex] from both sides of the equation to isolate [tex]x[/tex])
[tex]x=13[/tex] (Divide both sides of the equation to get rid of [tex]x[/tex]'s coefficient)
Therefore, [tex]m\angle D = 6x-17=6*13-17=78-17=61\textdegree[/tex].
Hope this helps!
Related Questions
[tex]y - 4 = 2x \ {7x}^{2} = xy + {y}^{2} [/tex]
solve for x and y simultaneously
Answers
Answer:
2.67
Step-by-step explanation:
n/a because I don't want to be a part of the way u passed out of the way and I will be there
please help with graph (will mark brainliest!!)
Answers
Answer:
The answer is in the screenshot.
Step-by-step explanation:
Is x=2 a solution to 3x+5>10? Explain
Answers
To figure out if x = 2 is a solution, plug 2 in for x. If the left side is greater than 10, then x is a valid solution. If the left side is not greater than 10, than x is not a valid solution.
3x+5>10
3(2)+5>10
6+5>10
11>10
11 is actually greater than 10, so x=2 is a solution to this inequality
Nicholas has a map that shows a rectangular park with a circular pond. The scale of the map is 1.5 in: 8 yd. On a map, the width of the park is 2.5 inches and the length is 6.25 inches. The pond has a diameter of 2 inches. Find the actual area of the circular pond.Use the pi key. (Answer to the nearest tenth.)
Answers
Answer:
The actual area of the pond is 88.9 yd^2
Step-by-step explanation:
We know that in the map, 1.5 inches are equivalent to 8 yards in the real park.
We know that in the map, the pond has a diameter of 2 inches.
Now we want to find the actual area of the circular pond.
Then the first step is to find the diameter of the real pond.
We know that:
1.5 in = 8 yd.
Now we need to count how many times we have 1.5 inches in the diameter of the pond in the map, this is:
N = 2 in/ 1.5in = 1.33
Then the actual diameter of the pond is 1.33 times 8 yards, this is:
D = 1.33*8yd = 10.64 yd
Now, we know that for a circle of diameter d, the area is:
A = pi*(d/2)^2
where pi = 3.14
Then the area of the pond is:
A = 3.14*(10.64 yd/2)^2 = 88.9 yd^2
Yall plzz helpp I dont want to fail math "what is the longest walking stick that can be placed in the bottom of a truck of length 80 cm and width 60cm"
Answers
Given:
Length of the truck = 80 cm
Width of the truck = 60 cm
To find:
The longest walking stick that can be placed in the bottom of a truck.
Solution:
The longest walking stick that can be placed in the bottom of a truck is the diagonal of the truck.
We know that, the diagonal of a rectangle is:
[tex]d=\sqrt{l^2+w^2}[/tex]
Where, l is the length and w is the width.
Putting [tex]l=80[/tex] and [tex]w=60[/tex], we get
[tex]d=\sqrt{(80)^2+(60)^2}[/tex]
[tex]d=\sqrt{6400+3600}[/tex]
[tex]d=\sqrt{10000}[/tex]
[tex]d=100[/tex]
Therefore, the length of the longest walking stick that can be placed in the bottom of a truck is 100 cm.
Michael has 105 credits at an arcade. He wants to purchase a drink and play his favorite video game with his credits. If the drink cost 63 credits and his favorite game charges 3.5 credits each time. how many times can Michael play his favorite video game
Answers
Explanation: 105-63=42
42 divided by 3.5=12
Solve this trinomial
Z^2 + z = -20
Answers
Answer:
your answer is a complex number making your question wrong
Step-by-step explanation:
First z²+z+20=0, just to make it a quadratic equation, so we can use the quadratric formula:
x=( -b±√b²-4ac)/2a
so to find a b and c we compare
YOUR QUESTION SHOULD BE Z² +Z-20=O.
Statements
Sometimes True
Always True
Never True
The sum of a rational number and an irrational number is rational.
O
O
O
The product of a rational number and a rational number is rational.
O
o
о
The sum of an irrational number and a rational number is irrational.
The product of an irrational number and a rational number is irrational.
O
O
о
The sum of a rational number and a rational number is rational.
Answers
Answer:
statement are always true
Sometimes True:
The sum of a rational number and an irrational number is rational.
Always True:
The product of two rational numbers is always rational.
Always True:
The sum of an irrational number and a rational number is irrational.
Sometimes True:
The product of an irrational number and a rational number is irrational.
Always True:
The sum of two rational numbers is rational.
What is a rational number?A rational number is a number that can be written in the form of p/q where q is not equal to zero.
We have,
Sometimes True:
The sum of a rational number and an irrational number can be rational or irrational depending on the numbers chosen.
For example, 1 + √2 is irrational, but 1/2 + √2/2 is rational.
Always True:
The product of two rational numbers is always rational, as can be shown using the definition of rational numbers.
Always True:
The sum of an irrational number and a rational number is always irrational. This can be shown by contradiction.
Assume that the sum of an irrational number a and a rational number b is rational.
Then (a + b) - b is also rational, which implies that a = (a + b) - b is rational, contradicting the assumption that a is irrational.
Sometimes True:
The product of an irrational number and a rational number can be rational or irrational depending on the numbers chosen.
For example, √2 x 2 is irrational, but √2 x (1/√2) = 1 is rational.
Always True:
The sum of two rational numbers is always rational, as can be shown using the definition of rational numbers.
Thus,
Sometimes True:
The sum of a rational number and an irrational number is rational.
Always True:
The product of two rational numbers is always rational.
Always True:
The sum of an irrational number and a rational number is irrational.
Sometimes True:
The product of an irrational number and a rational number is irrational.
Always True:
The sum of two rational numbers is rational.
Learn more about rational numbers here:
https://brainly.com/question/24398433
#SPJ7
The ratio 132 : 60 as a fraction is....
The ratio 132 : 60 as a decimal is...
The ratio 132 : 60 as a percent is... %
Answers
Answer:
The ratio 132 : 60 as a fraction is 132/60
The ratio 132 : 60 as a decimal is 2.2
The ratio 132 : 60 as a percent is 220%
Solve the linear equation for y.
-6y (-) 6 =-14
Answers
Answer:
y=4/3
Step-by-step explanation:
-6y-6=-14
+6 +6
-6y = -8
/-6 /-6
y= 4/3
Please show work;) goodnight also
Answers
Answer:
k f78iiujyhtgrf
Step-by-step explanation:
An airplane is flying diagonally across the state of Colorado. This state and its
dimensions are represented by the rectangle on the map shown.
Based on the measurements shown in the map, which measurement is closest to the
distance in miles the airplane will fly along the diagonal?
Answers
Answer:
C
Step-by-step explanation:
The measurement is closest to the distance in miles the airplane will fly along the diagonal is given by D = 476.1 miles
What is the diagonal of a rectangle?The diagonal of a rectangle is calculated by the formula
From the Pythagoras Theorem , The hypotenuse² = base² + height² , and
Diagonal of a Rectangle = √ ( Length )² + ( Width )²
Given data ,
Let the dimensions are represented by the rectangle be 280 mi x 385 mi
So , the length of the rectangular path L = 280 miles
The width of the rectangular path W = 385 miles
And , the distance in miles of airplane along the diagonal is given by
Diagonal of a Rectangle = √ ( Length )² + ( Width )²
On simplifying , we get
The distance along the diagonal D = √ ( 280 )² + ( 385 )²
The distance along the diagonal D = √ ( 78400 + 148225 )
The distance along the diagonal D = √ ( 226625 )
The distance along the diagonal D = 476.1 miles
Hence , the distance is D = 476.1 miles
To learn more about diagonal of rectangle click :
https://brainly.com/question/13583275
#SPJ3
The complete question is given below :
An airplane is flying diagonally across the state of Colorado. This state and its dimensions are represented by the rectangle on the map shown
280 mi
385 mi
Based on the measurements shown in the map, which measurement is closest to the distance in miles the airplane will fly along the diagonal?
A 665.0 mi
B 25.8 mi
C 36.4 mi
D 476.1 mi
Need help due today at 4:00plz help!!
Answers
Answer:i am not quite sure, my advice would be to look up a formula calculator, have a nice day <3
Step-by-step explanation:
A car dealership needs to transport 4,200 cars to an island. If the ferry can hold 60 cars, how many trips will the ferry need to make?
Answers
Answer:
700 cars
Step-by-step explanation:
just divide 4200 by 60 to get 700
Answer: 70
Step-by-step explanation:
If you divide 4,200 by 60 you will get 70 and that is how many trips you would need to make.
Which set of lengths are the side lengths of a right triangle? (9,15,17) (14,23,25) (20,30,40) (15,36,39)
Answers
Answer:
(15, 36, 39)
Step-by-step explanation:
Using pythagoreas formula: A^2 * B^2 = C^2
so a=15, b=36, c=39
15^2+36^2=39^2
i need help asap this is urgent
Answers
Answer:
I
Step-by-step explanation:
I don't know love you tho
What is the slope of the line that passes through the points (0, -4)) and (-2, -1)
Answers
Answer:
Step-by-step explanation:
y = mx + b
m is the slope (what you want)
b is the y-intercept, which is the value of y when x = 0
Oh, right, we already have b, isn't that great!
Given point (0, -4), so b = -4
Point (-2, -1), where x = -2 and y = -1
-1 = -2m -4 (solve for m)
3 = -2m
m = -3/2
Check:
y = -3x/2 -4
y = -3(-2)/2 -4 -> should get y = -1
y = 3 -4 = -1
Yay, we have the answer!
IS IN SPANISH BUT CAN SOMEONE HELP ME?, i need to find the area for the following
Answers
Answer:
10.2 +16.6 = 26.8 x 4.5 = 120.6 divided by 2 = 60.3
Answer:
60.3 cm
Step-by-step explanation:
Be sure to mark me Brainliest!!! I am 10000% this is correct!
Marissa compared coffeepot prices at three different stores. One of the stores advertised a discount, one was an online store that charged shipping,
and one just showed a regular price. The prices are shown below:
Price
Discount
30%
Shipping Cost
NA
$149.49
Name
American
Discounters
The Coffee Hut
The Bean
$91.99
NA
15% of the cost of
the item
NA
$106.49
NA
Part A: Which place is the least expensive place to purchase the coffeepot? Support your answer using words or numbers. (Round to the nearest
cent when calculating.)
Part B: Sales tax for all 3 retailers is 7.5%. What is the cost to purchase the cheapest coffeepot? (Round your answer to the nearest cent.)
Answers
Answer:
American Discounters is the cheapest.
Step-by-step explanation:
American Discounters:
149.49 - 30%
149.49 - (149.49 * 0.3) = 44.847
149.49 - 44.847 = 104.643
The Coffee Hut:
91.99 + 15%
91.99 + 13.8 = 105.79
The Bean:
106.49
Answer the 4 questions please.
Answers
Answer: 1. y=2/3x+4
2. y=-4x-7
3. y=3x-5
4. y= -5/4x + 2
Hope I helped! :)
Step-by-step explanation:
When the door was left open, 36 pigeons flew the coop. If this was 40 percent of all the pigeons, how many pigeons were there originally?
Answers
Answer:
100%
Step-by-step explanation:
What is the explicit formula for the sequence 18, 9, 9/2, 9/4, 9/8
Answers
Alternatively, you could also do:
an = 36(1/2)^n
Write the number below in scientific notation.
450,000,000
O A. 4.5 x 107
B. 4.5 x 108
O C. 4.5 x 10‐⁷
D. 4.5 x 10⁹
Answers
Answer:
B: 4.5 * 10^8
Step-by-step explanation:
I did the test and got it right
can someone pls answer this fast? I will mark you BRAINLIST
Answers
Answer:
Transformation
Option D has translation, the other options change the triangles' shape and they won't be congruentScale factor
Option A is correctOption B has wrong ratio, Options C and D shows different angle size which is not the case with similar trianglesTrina's car uses 12 gallons of gas to travel 132 miles. If she has 6 gallons of gas in the tank, how much more gas will she need to drive 220 miles?
A. 20 gallons
B. 11 gallons
C. 18 gallons
D. 14 gallons
Answers
Answer:
D
Step-by-step explanation:
132 divide w/ 12 u get 11
b and c are gone
multiple 20 x 11 u get 220
but bc u already have 6 gallons its 14
20-6
The approximate areas of two states are listed below.
Texas: 2.69×10^5 square miles
Rhode Island: 1.21×10^3 square miles
Determine the difference, in square miles, between the area of Texas and the area of Rhode Island. Write your answer in scientific notation.
Answer: _________________ square miles
Answers
Answer:
2.6779*10^5
Step-by-step explanation:
2.69 * 10^5 - 1.21 * 10^3
This is 2.6779*10^5 :)
The difference between the areas of Texas and the area of Rhode Island is given by equation A = 2.6779 x 10⁵ miles²
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
Let the area of Texas be p = 2.69 x 10⁵ miles²
Let the area of Rhode Island be q = 1.21 x 10³ miles
Now , the difference of areas A = p - q
On simplifying the equation , we get
The difference between the area of Texas and the area of Rhode Island A = 2.69 x 10⁵ miles² - 1.21 x 10³ miles
A = 2.69 x 10⁵ miles² - 1.21 x 10³ miles
A = 10³ ( 2.69 x 100 - 1.21 )
On further simplification , we get
A = 10³ ( 269 - 1.21 )
A = 267.79 x 10³
A = 2.6779 x 10⁵ miles²
Hence , the difference in areas is 2.6779 x 10⁵ miles²
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ7
how to solve (s + 5)(s - 5)
Answers
Answer:s^2-25
Step-by-step explanation:
Answer:
you would have to multiply so,
s*s is s^2
s*-5 is -5s
s*5 is 5s
5*-5 is -25
the final answer would be s^2-25 (-5s and 5s cancel each other out)
hope this helped!!
Which statement best describes the relationship between x and y in the equation y = 6 + x?
A The value of y is six less than the value of x.
B The value of y is six times the value of x.
C The value of x is six more than the value of y.
D The value of y is six more than the value of x.
Answers
Answer:
A. The Value of y is six less than the value of x
Step-by-step explanation:
This is because the value of x is equal to y when six is added.
Jenae buys some scarves that are $14 each and 2 wallets that each cost $12. Jenae's total is $94. Write an equation that could be used to find s, the number of scarves Jenae buys .
Answers
Answer:
94-(2x12)/14=s
..............
;))))
That emoji makes me feel awkward...yeah BYEE
Answers
Answer:
same
Step-by-step explanation:
hello, good afternoon-