Answers
Answer:
x=45
Step-by-step explanation:
I can give you two solutions
First solution:
In [tex]\triangle FBA[/tex] we know that
[tex]\angle BFA + \angle FAB + \angle ABF=180\\\\90+x+\angle ABF =180\\\\\angle ABF =90-x[/tex]
same case for [tex]\angle EBC[/tex] in [tex]\triangle ECB[/tex]
so we have that
[tex]\angle ABC = \angle ABF + \angle FBE +\angle EBC\\\\\angle ABC = 90-x+45+90-x\\\\\angle ABC = 180+45-2x[/tex]
we leave it like that because it's convenient
Now by properties of parallelograms we know that opposite sides add up to 180
[tex]\angle FAB + \angle ABC = 180\\\\x+180+45-2x=180\\\\x+45-2x=0\\\\45-x=0\\\\x=45[/tex]
so one angle is 45 and the other one is 135
Solution 2
if we look at DEBF we can say that it's a cyclic quadrilateral
because opposite sides add up to 180
in our case
[tex]\angle DFB = 180 -\angle BFA = 180-90 = 90\\\\\angle DEB = 90\\\\\Rightarrow \angle DFB + \angle DEB = 180\\\\[/tex]
so for the other to angles is also true
[tex]\angle FDE + \angle EBF = 180\\\\\angle FDE +45 = 180\\\\\angle FDE = 135[/tex]
so that's the measure of one angle of the parallelogram
the other angle x is
[tex]\angle EDF + \angle FAB = 180\\\\135+x=180\\\\x=45[/tex]
There you go choose yourself
Related Questions
what is 8 × 1 + 3 × 0.1 + 9 × 0.01 in standard form
Answers
Answer:
0.216
Step-by-step explanation:
[tex]8 \times 1 \times 3 \times 0.1 \times 9 \times 0.01\\\\=(8\times1)(3\times0.1)(9\times0.01)\\\\=8(0.3)(0.09)\\\\=(8\times0.3)(0.09)\\\\=(2.4)(0.09)\\\\=2.4\times0.09\\\\=0.216[/tex]
is this the standard form?
3) Determine if the ordered pairs represent a function.
{(2,3), (4,4), (2,5), (3, 8)}
Yes
No
Answers
V = √ 20 L to estimate the speed of a car, v , in miles per hour, based on the length, L , in feet, of its skid marks when suddenly braking on a dry, asphalt road. At the scene of an accident, a police officer measures a car's skid marks to be 108 feet long. Approximately how fast was the car traveling? Round your answer to the nearest tenth (one decimal place) of a unit.
Answers
Answer:
46.5 miles per hour
Step-by-step explanation:
Given that :
Speed of A car v in miles per hour based on length L in feets ;
V = √(20L)
Skid mark (L) = 108 feets
V = √(20 * 108)
V = √2160
V = 46.475800 miles per hour
V = 46.5 mph
I need help with this question! Will mark brainliest :)
Answers
Answer:
y=3x-2
Step-by-step explanation:
you find the 3 (the slope) by seeing how much the y value grows
the -2 is the value of the y-intercept (more clear on a graph) but it's when the point is (0,__) so you subtract 3 from 1.
Answer:
The answer is the third option, y=3x-2
Explanation:
I'm horrible at explaining, but basically the y-axis is increasing by 3's so it's not negative, and to find the y-axis, we simply put a 0 ontop of the 1 in the x-axis, and across that we get -2 because the y-axis is increasing by 3's.
So sorry for my messy explanation, but I hope it helps :)
Solve for . need 20 letters lol
/5 = −9
Answers
Answer:
r=-45
Step-by-step explanation:
r/5=-9
x 5 x5
________________
r=-45
Hope this helps ∞<3
Damon drank 2 3 liter of water Monday before going jogging. He drank 3 7 liter of water after his jog. How much water did Damon drink altogether? Write your answer as a mixed number. Solve this problem on paper. Then, check your answer on Zearn. Damon drank liters of water altogether.
Answers
Answer:
1 2/21 liters
Step-by-step explanation:
Damon drank 2/3 liter of water Monday before going jogging. He drank 3/7 liter of water after his jog. How much water did Damon drink altogether?
Volume of water Damon drank before jogging = 2/3 liters
Volume of water Damon drank after jogging = 3/7 liters
Total volume of water Damon drank altogether = 2/3 liters + 3/7 liters
= 2/3 + 3/7
= 14+9/21
= 23/21
= 1 2/21
Total volume of water Damon drank altogether = 1 2/21 liters
please help me :(
Angharad sleeps for 8 hours each night, correct to the nearest 10 minutes.
The total time she sleeps in the month of November (30 nights) is T hours.
Between what limits does T lie?
Answers
Answer:
The limits between which T lies is 273 hours 30 mins < T < 242 hours 30 minutes
Step-by-step explanation:
The number of hours Angharad sleeps each night = 8 hours ± 10 minutes
The actual time Angharad sleeps each night = 8 hours ± 5 minutes
Which gives the maximum time Angharad sleeps = 8 hours 5 minutes = 485 minutes per night
The minimum time Angharad sleeps = 7 hours 55 minutes = 475 minutes
The number of days in the month of November = 30 nights
The maximum time in minutes Angharad sleeps in November, [tex]T_{max}[/tex] = 30 nights × 485 minutes/night = 14,550 minutes = 242.5 hours = 242 hours 30 minutes
The minimum time in minutes Angharad sleeps in November, [tex]T_{min}[/tex] = 30 nights × 475 minutes/night = 14,250 minutes = 237.5 hours = 237 hours 30 minutes
Therefore, we have, the limits between which T lies given as follows;
273.5 hours < T < 242.5 hours.
Answer:
235 ≤ T ≤ 245
Step-by-step explanation:
(8 hours per night x 30 nights) = 240 hours
The deviation from 8 hours per night is as much as 10 minutes per night.
Over 30 nights, the total deviation can be as much as (30 x 10 minutes) = 300 minutes = 5 hours.
So T can be as much as (240 + 5) = 245 hours, or as little as (240 - 5) = 235 hours.
In inequality form,
235 ≤ T ≤ 245
Which side lengths form a right triangle?
Choose all answers that apply.
A. square root of 2, square root of 3, square root of 4
B. square root of 8, 3, square root of 17
C. 5, 6, 8
Answers
Answer: choice B
Explanation: Go through each answer choice and try the Pythagorean theorem to see if it works. This is because a right triangle’s side lengths are described by the Pythagorean theorem. one side^2 + second side^2 = longest side^2. In a right triangle, this equation will be true. Let me show you what I mean
For answer choice A:
(root 2)^2 + (root 3)^2 = (root 4)^2
2 + 3 = 4
5 = 4
5 does not equal 4. Therefore it cannot be A.
For answer choice B:
(root 8)^2 + (3)^2 = (root 17)^2
8 + 9 = 17
17 = 17
this is true! therefore this is a right triangle and it’s B
Dimensions √17, 3, and √8 are the dimension of the right triangle. Thus, the correct option is B.
What is a Pythagoras theorem?If the dimension satisfies the Pythagorean equation, then the triangle is a right-angle triangle.
The Pythagoras theorem states that the sum of two squares equals the squared of the longest side. The Pythagoras theorem formula is given as,
H² = P² + B²
Let's check the second option, then we have
(√17)² = 3² + (√8)²
17 = 9 + 8
17 = 17
Thus, the correct option is B.
More about the Pythagoras theorem link is given below.
https://brainly.com/question/343682
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Martin works at Bluebell Ice Cream Parlor. He earns $87.50 for every 7 hours of work. Based on this information how much money would Martin earn for 28 hours of work?
Answers
Answer:
$350
Step-by-step explanation:
7x4=28 so you multiply 87.50x4 to get 350
solve What is 13.789 rounded to the nearest tenth?
Answers
Answer:
13.8
Step-by-step explanation:
8 is greater than 4 so you round up and get 13.8
What is the solution to the equation 4x plus 2(x-3) equals 3x plus x minus 12
Answers
Answer:
[tex]\huge\boxed{x=-3}[/tex]
Step-by-step explanation:
[tex]4x+2(x-3)=3x+x-12\qquad|\text{use the distributive property}\\\\4x+(2)(x)+(2)(-3)=3x+x-12\\\\4x+2x-6=3x+x-12\qquad|\text{combine like terms}\\\\(4x+2x)-6=(3x+x)-12\\\\6x-6=4x-12\qquad|\text{add 6 to both sides}\\\\6x-6+6=4x-12+6\\\\6x=4x-6\qquad|\text{subtract}\ 4x\ \text{from both sides}\\\\6x-4x=4x-4x-6\\\\2x=-6\qquad|\text{divide both sides by 2}\\\\\dfrac{2x}{2}=\dfrac{-6}{2}\\\\x=-3[/tex]
Please can someone help me
Answers
Answer:
C those who vote for the ballot tend to be from district 2
In the interval,
[0,2), what are the solutionms of the equation sin x =-1/2?
Answers
Answer:
Step-by-step explanation:
Richard and Linda enjoy visiting Hilton Head Island, South
Carolina. The distance from their home to Hilton Head is
975 mi, so the drive takes them 2 days. Richard and Linda
travel twice as far the first day as they do the second day.
How many miles do they travel each day?
Answers
Answer:
first day: 650, second day: 325
Step-by-step explanation:
Let x be the number of miles travelled on the second day and 2x the number of miles travelled on the first day. They add up to 975.
2x+x=975
3x=975
x=325
x represents the number of miles travelled on the second day so they travelled 650 miles on the first day and 325 miles on the second day.
Answer:
650 miles the first day, 325 miles the second day
Step-by-step explanation:
We can call the distance they traveled on the first day as 2x and the distance they traveled on the second day as x. The former is 2x because they traveled twice as far the first day compared to the second day. Since the total distance traveled is 975 miles, we can write the following equation to solve for x:
[tex]2x + x = 975[/tex]
[tex]3x = 975[/tex] (Simplify LHS; 2x + x = 3x)
[tex]\frac{3x}{3}=\frac{975}{3}[/tex] (Divide both sides of the equation by 3 to get rid of the coefficient on x)
[tex]x = 325[/tex] (Simplify)
Therefore, [tex]2x = 2 * x = 2 * 325 = 650[/tex] so the final answer is they traveled 650 miles the first day and 325 miles the second day. Hope this helps!
Factor the following expression 2x^2 - 11x+12
Answers
Answer:
(2x-3)(x-4)
Step-by-step explanation:
please answer this !!!
Answers
Which is a solution to the equation 7g-2=47
Answers
Answer:
g=7
Step-by-step explanation:
7g-2=47
+2 +2
7g=49
÷7 ÷7
g=7
[tex]\frac{a}{5}[/tex] + 3=8
Answers
Explanation:
Subtract 3 from both sides and get a/5 =5, then multiply 5*5 and get a = 25
A certain medicine is given in an amount proportional to a patient's body weight. Suppose a patient weighing 119 pounds requires 136 milligrams of medicine
What is the weight of a patient who requires 200 milligrams of medicine?
Answers
Answer:
228.571428 or estimate it down
Step-by-step explanation:
136 ÷ 119 = 1.14285714
1.14285714 x 200 = 228.571428
The weight of the patient who required 200 mg of medicine is 175 pounds.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x = 5 is an equation.
We have,
Amount of medicine = Patient's body weight.
136 mg = 119 pounds
Multiply 200/136 on both sides.
200 mg = 200/136 x 119 pounds
200 mg = 175 pounds
Thus,
The weight of the patient who required 200 mg of medicine is 175 pounds.
Learn more about equations here:
https://brainly.com/question/17194269
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[tex]y \times 3 = 27 \times 10[/tex]
Answers
y = 270 ÷ 3 = 90
Y = 90
Hope it helps
Question 12(Multiple Choice Worth 3 points)
(02.04 MC)
Which of the following statements describes an interaction between the atmosphere and biosphere?
Water and its vapor move through air.
Earth's internal heat warms the layer of air around it.
Oceans provide an environment for sustaining marine life.
Life is possible on Earth due to layers of air that surround it.
Answers
Answer:
life is possible on earth due to layers of air that surround it
6th grade math i mark as brainliest
Answers
Answer:
the answer is 8 bro
Step-by-step explanation:
4 to the power of 2 = 4 x 2 = 8
Answer
that is a hard one
Step-by-step explanation:
[205.8-[4^(2)]+5]*4= 779.2
for the first one
need help asap!!!!!!!
Answers
Answer:
cant see it do a better job at taking pitchers i will help you but i cant so c its a bad pitcher and yeah bye hope you have a good day
Step-by-step explanation:
pls help LOL will give brainliest!
The ratio of the measures of the interior angles in a given triangle is 13:23:9. what is the measure, in degrees, of the most acute angle?
Answers
Answer:
36 degrees
Step-by-step explanation:
So, first of all, the interior angles of any triangle add up to 180.
First, you add up all the numbers in the ratio.
13+23+9=45
180/45=4 [To find out how much each piece really equals]
So, now that we know what each piece equals, the most acute triangle was the one that said '9' in the ratio.
4*9=36
Hope it helped, tell me if it's wrong, I'll correct it.
Answer:
36
Step-by-step explanation:
Ratio = 13 : 23 : 9
The interior angles are = 13x , 23x , 9x
13x + 23x + 9x = 180 {Angle sum property}
45x = 180
x = 180/45
x = 4
Most acute angle = 9x = 9*4 = 36
HELP TIMED QUESTION !!!!
Simplify (5x^3y)^2(-2x^5y^1)
Answers
Answer:
( -5•2x8y)
Step-by-step explanation:
Changes made to your input should not affect the solution:
(1): "^-1" was replaced by "^(-1)".
Equation at the end of step 1
((5•(x3))•(y2))•(0-(2x5•y(-1)))
Equation at the end of step
(5x3 • y2) • -2x5y(-1)
Multiplying exponential expressions :
3.1 x3 multiplied by x5 = x(3 + 5) = x8
Multiplying exponential expressions :
3.2 y2 multiplied by y(-1) = y(2 + (-1)) = y1 = y
Answer:
60xy
Step-by-step explanation:
Evaluate : (5x+3y)2 = 25x2+30xy+9y2
Evaluate : (5x-3y)2 = 25x2-30xy+9y2
Find the next three terms:
5, 8, 11, 14...
Answers
Answer:
next 3 terms are 17,20,23
Step-by-step explanation:
to get from 5 to 8 you add 3
14+3=17
17+3=20
20+3=23
Answer:
17, 20, 23
Step-by-step explanation:
The pattern is that 3 is added every time.
5 + 3 = 8, 8 + 3 = 11, 11 + 3 = 14.
That means that the next terms will be
14 + 3 = 17
17 + 3 = 20
20 + 3 = 23
SOPHIE gave 45% of her pocket money to AMELIE. SOPHIE now has £6.60. How much did SOPHIE have to begin with?
Answers
Answer:
£12
Step-by-step explanation:
To find the original amount, divide 6.60 by 0.55:
6.60/0.55
= 12
So, Sophie had £12 to begin with
Which relations are functions?
Select Function or Not a function for each graph.
Answers
What is true about the slope of two equations that have no solution?
Answers
Answer:
slopes are equal
Step-by-step explanation:
If the 2 equations have no solution then the lines are parallel and never intersect.
Parallel lines have equal slopes.
Answer:
according to our rules ,we can find the formula for the slope by talking the first derivative
The Science Club went on a two-day field trip. The first day the members paid $70 for transportation plus $19 per ticket to the planetarium. The second day they paid $100 for transportation plus $16 per ticket to the geology museum. Write an expression to represent the total cost in dollars for two days for the n members of the club.
Answers
Answer:
$170 + $35n
Step-by-step explanation:
Given that:
First day:
Transport fare = $70
Fee per ticket = $19
2nd day:
Transport fare = $100
Fee per ticket = $16
Total cost in dollars for the two days for n members
Number of members = n
First day:
70 + 19n
Second day :
100 + 16n
Totak cost :
(70 + 19n) + (100 + 16n)
70 + 100 + 19n + 16n
170 + 35n
$170 + $35n