in the figure below, what are the values of x and y? What are the measures of the four angles in the figure
Answers
Answer:
a. x=57.6, y=44.8
Step-by-step explanation:
Named the angles, check the picture for that
<ABD+<ACD=180 (Opposite angles of a quadrilateral is supplementary (180 degrees)
<CAB+<BDC=180 (Opposite angles of a quadrilateral is supplementary (180 degrees)
therefore:
a. 3y+x-12=180.............. equ 1
2x+y+20=180.............equ 2
From equ 1
x+3y=180+12
x+3y=192...............equ 3
From equ 2
2x+y=180-20
2x+y=160.............equ 4
Equate equ 3 and equ 4
x+3y=192...............equ 3
2x+y=160.............equ 4
Using elimation method
x+3y=192...............equ 3
2x+y=160.............equ 4
Multiple equ 3 by 1 and equ 4 by 3
x+3y=192...............equ 3 ×1
2x+y=160.............equ 4 ×3
x+3y=192
6x+3y=480
Subtract
-5x+0=-288
-5x=-288
x=57.6................... Equ 5
Replace 57.6 for x in equ 3
x+3y=192...............equ 3
57.6+3y=192
3y=192-57.6
3y=134.4
y=44.8
B. <CAB= 2x=2×57.6=115.2
<ABD= 3y=3×44.8= 134.4
<ACD=x-12=57.6-12=45.6
<BDC=y+20=44.8+20=64.8
Related Questions
Find the slope
Y=-x+2
Answers
Answer:
slope = -1
Step-by-step explanation:
take the equation: y = mx + b for slope-intercept
y is the input
m is the slope
x is the output
b is the y-intercept
when the slope is -1, it is seen and implied as -x.
select the correct answer from each dropdown menu. in the figure, the radius of the partial circle with center A is 4 feet.
The perimeter of the figure is A.____ feet, and the area of the figure is B.____ square feet. Assume =3.14, and round your answers to the nearest hundredth.
A.- 18.84 - 24.50 - 26.84 - 75.36
B.- 11.42 - 22.84 - 45.68 - 53.68
Answers
Answer:
Step-by-step explanation:
Part A: 24.50 feet, Part B: 46.68 square feet, I just took the test and got this right!
The perimeter of the figure is [tex]24.50[/tex] and area of the figure is [tex]45.68[/tex] square feet.
What is Area of Circle?
In geometry, the area enclosed by a circle of radius r is πr². Here the Greek letter π represents the constant ratio of the circumference of any circle to its diameter, approximately equal to 3.14159
According to question, the radius of the partial circle with center A is 4 feet.
We have to find the perimeter and area of the figure.
Perimeter of the figure=2πr×[tex]\frac{3}{4}[/tex] +[tex]4\sqrt{2}[/tex]
=2×[tex]3.14[/tex]×[tex]4[/tex]×[tex]0.75+4[/tex]×[tex]1.414[/tex]
[tex]=24.50[/tex]
Area of figure=[tex]\frac{3}{4}[/tex] πr²+[tex]r^{2}[/tex]×[tex]\frac{1}{2}[/tex]
=[tex]0.75[/tex]×[tex]3.14[/tex]×[tex]16[/tex][tex]+16[/tex]×[tex]0.5[/tex]
[tex]=37.68+8[/tex]
[tex]=45.68[/tex]
Hence, we can conclude that the perimeter of the figure is [tex]24.50[/tex] and area of the figure is [tex]45.68[/tex] square feet.
Learn more about area of circle here:
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Please help. its not hard
Answers
Answer:
Tbh Im not sure
Step-by-step explanation:
Answer:
I think the answer is 1/2 (x^2 + 11x + 30) but see the discussion below.
Step-by-step explanation:
I can hardly read the signs between the dimensions. This is my best guess.
Area Shaded = Area Rectangle - Area Triangle
Area Rectangle = (x + 5)(x + 6)
Area Triangle = 1/2 (x + 5 ) ( x + 6)
Area shaded = (x + 5)(x+6) - 1/2 (x + 5)(x + 6)
Area shaded = 1/2 (x + 5)(x + 6)
Area Shaded = 1/2 (x^2 + 11x + 30)
If the second factor (x + 6) is really x - 6 then the area of the shaded area is 1/2 (x+5)(x - 6)
Area Shaded = 1/2 * (x^2 - x - 30)
It took Jenny 2 hours to knit 1/3 of a scarf.
How many hours will it take for her to make
one scarf?
Answers
Answer:
6 hours
Step-by-step explanation:
Bc 2hours for 1/3 so and 4 more hours and u get 6. Hope this helps u have a good day. Sorry if wrong
Answer:
6 hours
Step-by-step explanation:
what is the common ratio of the geometric sequence below? –2, 4, –8, 16, –32, ...
Answers
Answer:
The common ratio of the geometric sequence is:
[tex]r=-2[/tex]
Step-by-step explanation:
A geometric sequence has a constant ratio 'r' and is defined by
[tex]a_n=a_1\cdot r^{n-1}[/tex]
where
aₙ is the nth terma₁ is the first termr is the common ratioGiven the sequence
[tex]-2,\:4,-8,\:16,\:-32,\:...[/tex]
Compute the ratios of all the adjacent terms: [tex]r=\frac{a_n+1}{a_n}[/tex]
[tex]\frac{4}{-2}=-2,\:\quad \frac{-8}{4}=-2,\:\quad \frac{16}{-8}=-2,\:\quad \frac{-32}{16}=-2[/tex]
The ratio of all the adjacent terms is the same and equal to
[tex]r=-2[/tex]
Therefore, the common ratio of the geometric sequence is:
[tex]r=-2[/tex]There are 84 groups in a bag. For friends are sharing the grapes. Write an equation that can be used to find out how many grapes G each friend will yeah if each friend gets the same number of groups
Answers
I’m not too sure if you meant four friends ?
6n – 7n – 4 + n
Terms:
Like terms:
Coefficient:
Constants:
HELP PLSSS
Answers
Answer:
-4
Step-by-step explanation:
what is the algebraic expression of
1 less than the quotient of 7 and a number x
Answers
Answer:
(7 ÷ x) - 1
Step-by-step explanation:
i tried, i tried
Ratnam hired a car from a car renting agency which charges a flat amount of Rs x for travelling up to 40 kilometres and Rs. y per km for every kilometre travelled thereafter. How much should Ratnam pay the agency for a journey of 50 kilometres in Rs. ?
Answers
Answer:
Rs. X + Rs. 10y
Step-by-step explanation:
Charge for 40 km travel = Rs. x per km
Charge for every additional km traveled = Rs. y
Amount paid for 50 km
Fixed charge for 40km = Rs. X
Additional km = 50 - 40 = 10 kilometer
Total charge :
Rs. X + Rs. 10y
Quadrilateral FGHI is similar to quadrilateral JKLM. Find the measure of side KL. Round your answer to the nearest tenth.
Answers
Answer:
The answer is "31.888".
Step-by-step explanation:
When their respective angles were congruent or their side lengths have a constant relation, they know that two quadrilaterals are similar
FGHI is similar to JKLM because of quadrilateral
[tex]\to \frac{FG}{JK} =\frac{GH}{KL}=\frac{HI}{LM}=\frac{FI}{JM}\\\\\to \frac{GH}{KL} =\frac{HI}{LM}\\\\\to \frac{7}{KL}= \frac{9}{41}\\\\\to KL=\frac{7 \times 41}{9}=31.888\\\\[/tex]
Answer:
12.3
Step-by-step explanation:
Trust me I got it wrong
What is the measure of Y? 4·9=36=36/4
Answers
Answer:
Figure or Diagram Mandatory
GOOD LUCK FOR THE FUTURE! :)
Please help me with this math problem.
Answers
Explanation
Since both terms are perfect squares, factor using the difference of squares formula,
Hello
Evaluate the expression when a=1/4
and b = 6.
-8ab=
Answers
Answer:
-12
Step-by-step explanation:
-8(1/4)(6)
-8/4=-2
-2*6=-12
What steps would you use to solve this equations for x? *
Answers
Answer:
x=-24
Step-by-step explanation:
Multiply both sides by 4 to get x=-24
[tex]\\ \rm\hookrightarrow -6=\dfrac{x}{4}[/tex]
Multiply 4 on both sides
[tex]\\ \rm\hookrightarrow x=-6(4)[/tex]
[tex]\\ \rm\hookrightarrow x=-24[/tex]
Which interval on the graph could be described as linear increasing?
A
B
C
D
Answers
Will give, Branliest for anyone who answers.
Answers
150,75
70,35
120,60
110,56
5/2
10/4
15/6
50/20
300 G 150 G 75 G
140 G 70 G 35 G
420 G 210 G 105 G
220 G 110 G 55 G
17.
The neighborhood park has a rectangular shape.What is the perimeter of the park?
Answers
Answer
There is not enough information given.
Explanation
All we know is that the neighborhood park has a rectangular shape. The length of each side is not defined. Without the length and width, you can't find the perimeter. There is not enough information given.
Which type of function are the following equations?
1. ƒ(x) = 4x^2
2. g(x) = 1 - x
Linear, Exponential or Quadric.
(You mau choose a different answer for each equation).
Answers
Answer:
1 quadric
2 linear
Step-by-step explanation:
plz make me brainliest
Please solve as soon as possible
Answers
Answer:
.75
Step-by-step explanation:
Because three divided by four is .75
Answer:
Question 22: 0.75 or 75%
Question 23: 5:2
Step-by-step explanation:
Question 22: 3 divided by 4 equals 0.75
Question 23:
2.5 = 2.5/1
2.5 × 10/10 equals 25/10
25/10 divided by 5 equals 5/2
5/2= 5:2
4x-9y+7x-3y-8x
.......
Answers
Answer:
3x-12y
Step-by-step explanation:
4x-9y+7x-3y-8x
group like terms
4x+7x-8x
11x-8x
=3x
-9y-3y
=-12y
combine terms
==3x-12y
Hope this helps! :)
Carter is deciding between two different movie streaming sites to subscribe to. Plan A costs $19 per month plus $2 per movie watched. Plan B costs $31 per month plus $0.50 per movie watched. Let AA represent the monthly cost of Plan A if Carter watches xx per month, and let BB represent the monthly cost of Plan B if Carter watches xx movies per month. Write an equation for each situation, in terms of x, and determine the interval of movies watched, x, for which Plan A is cheaper than Plan B.
Answers
Answer:
19x+2x=AA
31x+0.50x=BB
Step-by-step explanation:
Answer:
A = 2x +19
B = 0.50x + 31
Plan A is cheaper than Plan B when x < 8 movies
Step-by-step explanation:
2x + 19 = 0.50x + 31
1.5x = 12
x = 8
Hey. Could you help?
Answers
Answer:
C
Step-by-step explanation:
sorry, I dont have time for a full explanation. maybe wait for the next person's answer too. just to verify mine.
hope this helps <3
The least common multiple of two numbers is 60, and one of the numbers is 7 less than the other number. What are the numbers? Explain your answer.
Answers
Answer:
Two numbers (integer only): 5 , 12
Step-by-step explanation:
Suppose two numbers are integers: ax and ay, a is common factor and x,y no more common factor
axy = 60 a: 1,2,3,4,6,10,12,30
ax - ay = a(x-y) = 7
after test , I exclude 3,4,6,10,12,30
if a=1 xy=60 (x,y): (3,10) (4,15) (5,12)
(5,12): LCM: 5*12=60 12-5=7
if a=2 xy=30 (x,y): (2,15) (3,10) (5,6) No solution in this combination
Which are vertical angles? Check all that apply. ∠EAB and ∠BAC ∠EAB and ∠CAD ∠CAD and ∠FAE ∠CAB and ∠DAE ∠DAC and ∠DAE
Answers
*See attachment for the diagram
Answer:
B. ∠EAB and ∠CAD;
D. ∠CAB and ∠DAE
Step-by-step explanation:
Vertical angles are two angles formed directly opposite each other when two straight lines crosses or intercepts each other. Vertical angles are of equal measure to each other.
Thus, from the diagram given,
<CAD is vertically opposite to <EAB, also,
<CAB is vertically opposite to <DAE.
Thus, the vertical angles are:
∠EAB and ∠CAD;
∠CAB and ∠DAE
Answer:
B and D
Step-by-step explanation:
Hope it helps ^w^
please help me on this will give you brainliest!!
Answers
18/2= 9
45/5= 9
9 x 4 = 36
Answer:
AC = 36
Step-by-step explanation:
since these triangles are similar, we can use the triangle similitary theorem. This means that the sides are proportional to each other.
ef/bc = 5/45 (1/9) = ed/ba = 2/18 (1/9)
we can see the sides are in a ratio of 1:9, and plug it in the proportion
df/ac = 1/9
4/ac = 1/9
cross multiply and we get that ac = 36
1. How do the heights of the chimpanzee and gorilla habitats compare to the height of the
orangutan habitat? Round all answers to the nearest hundredth of a yard. Show your work.
2. Label a point Z that is vertical to point X and horizontal to point Y. A string of lights is being hung
from point Z to the cable that connects the gorilla and chimpanzee habitats. The string of lights
will create a right angle with the cable. Determine the distance between point Y and the point
where the string of lights attaches to the cable. Round all answers to the nearest hundredth of a
yard. Show your work.
Answers
Answer: im confused on what your asking can u give me more detail.
Step-by-step explanation:
A wall and a tree are casting shadows as shown in the picture below. How tall is the tree?
Answers
Answer:
let my rat self say this, 24ft?
speaking:
I DON'T KNOW :,D
Solve for r in terms s, t, u, v.
su=rtv
Answers
Answer:
r = su/tv
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityStep-by-step explanation:
Step 1: Define
su = rtv
Step 2: Solve for r
[Division Property of Equality] Divide tv on both sides: su/tv = rRewrite/Rearrange: r = su/tvr = su/tv
Can someone please Classify the angles ? I don’t need a conclusion ....
Answers
Answer:
Right triangle
Step-by-step explanation:
A right triangle is a triangle in which one angle is a right angle.
Donkey Kong is rolling cylindrical barrels
of different sizes at Mario.
The DIAMETER of the barrel is 16.5.
What is the circumference of the barrel?
If your answer is correct Mario will clear the barrel.
Answers
Then you can use
2times pie times radius to get the circumference.
2 ×3.141592653589793×8.25=
51.83627878423158
Circumference of the barrel is 51.81 unit
Circumference of the circle:Given that;
Diameter of barrel = 16.5 unit
Find:
Circumference of the barrel
Computation:
Radius of barrel = 16.5/2 unit
Radius of barrel = 8.25 unit
Circumference of the barrel = Circumference of the circle
Circumference of the barrel = 2πr
Circumference of the barrel = 2(3.14)(8.25)
Circumference of the barrel = 51.81 unit
Find out more information about 'Circumference'.
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