Answers
Answer:
angle 1 = 124
angle 2 = 56
angle 3 = 124
angle 4 = 56
Step-by-step explanation:
This problem is a bit like a puzzle. To make notation easier I'm going to do this:
angle 1 = a
angle 2 = b
angle 3 = c
angle 4 = d
Now, let's start with what we know from the image.
All angles added together form a circle or 360 degrees
a + b + c + d = 360
In the same regard a + d = 180, and b + c = 180
Also,
a = c
and
b = d
It also tells us angle 4 is 25 degrees greater than one fourth of angle 1. Which is written as.
d = 1/4(a) + 25
If we look at all the equations we have, we can see that two of the equations have two of the same variables:
a + d = 180
and
d = 1/4(a) + 25
Using substitution we can take the second equation substitute it for d in the first equation giving us:
a + (1/4(a) + 25) = 180
Now we just solve for a
[tex]\frac{4}{4} a+ \frac{1}{4} a + 25 = 180\\\\\frac{5}{4}a + 25 = 180 \\\\(\frac{5}{4}a + 25) - 25 = (180) -25\\\\\frac{5}{4} a = 155\\\\\frac{5}{4} a * \frac{4}{5} = 155 * \frac{4}{5}\\\\a = 124[/tex]
Therefore a, or angle 1, is 124
Since a = c, then c, or angle 3, is also 124
Since a + d = 180 and a = 124 then
d = 180 -124
d = 56
So, d, or angle 4, is 56
And because b = d then b, or angle 2, is also 56
a = 124
b = 56
c = 124
d = 56
For extra measure, we can check our work by using the first equation
a + b + c + d = 360
124 + 56 + 124 + 56 = 360
Related Questions
The diameter of a semicircle is 10 meters. What is the perimeter of the semicircle, in meters? Round your answer to the nearest tenth.
Answers
Answer:
25.7 m
Step-by-step explanation:
The formula for the circumference of a circle is C = 2(pi)(r), where r is the radius, which in turn is half the diameter. Thus, the formula for the circumference is C = (d)(pi). The perimeter of a semicircle is half that, or
C = (pi)(r), which here is (3.14)(5 m) = 15.7 m. Finally, the total perimeter is the sum of this 15.7 m and the 10 m diameter of the circle:
P = 15.7 m + 10 m = 25.7 m
What is the point that divides line DC into a ratio of 1:3, starting from point D C (-120, 83) D (156, -64)
Answers
Answer:
Step-by-step explanation:
Two sides of a triangle measure 8 cm and 15 cm. Whi[:h could be the length of the third side?
O 6 cm
O 18 cm
O 24 cm
O 28 cm
Answers
18 cm is correct .
Step-by-step explanation:
The sum of two smaller sides is greater that the largest side.
It is given that the two sides of a triangle measure 8 cm and 15 cm.
Case 1: Let 8 cm and 15 cm. are smaller side. So,
Third side < 8 + 15
Third side < 23
It means 3rd side must be less than 23
Case 2: Let 15 cm is the largest side.
15 < Third side + 8
15 - 8 < Third side
7 < Third side
It means 3rd side must be greater than 7.
Since only 18 is less than 23 and greater than 7, therefore the possible length of third sides is 18 cm and option 2 is correct.
The drawing below shows circle B and circle E.Which equation best describes the relationship between BC and EF?
Answers
Answer:
BC = 3(EF)
Step-by-step explanation:
The question stated that AC is 3 times the length of DF.
Answer:
BC = 3(EF)
Step-by-step explanation:
Remember that AC is 3 times the length of DF
Please answer with explanation
Answers
a: 550-n×55
Step-by-step explanation:
because she withdraws every week 55 then the equation is that
Answer:
a. A = 550 - (n55)b. $165.00Explanation:
a. Amount of remaining dollars = $550 (the initial amount) - (numbers of weeks times $55 that she withdraws weekly)so the equation is: A = 550 - (n55)
b. using the equation in (a) we can determine the amount of money in Shirley's account after 7 weeks.A = 550 - (7×55)
A = 550 - 385
A = $165.00
Please help me. I don’t know
Answers
Step-by-step explanation:
Area of square = Length x Length =
[tex] {length}^{2} [/tex]
Given Area of square =
[tex]256 {ft}^{2} [/tex]
[tex] {length}^{2} = 256 \\ length = \sqrt{256} \\ = 16ft[/tex]
CAN SOMEONE HELP ME FIND THE AREA OF THE LIGHT GRAY PART WITH AN EXPLANATION :)
(IF YOU WANT ME TO GO TO A LINK I'M NOT, SO YOUR ANSWER WILL BE REPORTED IF YOU DECIDE TO INCLUDE ONE)
Answers
Answer:
91 or 525
Step-by-step explanation:
Multiply the objects width (How long it is), times height. For the smaller object inside the bigger object, it is 91. For the bigger object, it is 525.
EASY MATH
Find all the zeros of f(x)= x^3 − 6x^2 + 13x − 20 given that 1−2i is a zero.
x=
Answers
Answer:
there is only one zero
Step-by-step explanation: and if it easy why you didint do it just ascking
PLEASE HELP!!!!! (screenshot)
Answers
Answer:
The answer is A. y <= -3x + 3
whats 10x10+111-21x999/999+21-111/10?
Answers
Answer:
199.9
Step-by-step explanation:
Gary is 4 years less than three times his brothers age, \displaystyle bb. The sum of Gary and his brothers' age is 52. Write an equation to represent this relaitonship.
(PLS HELP ME WITH THAT QUESTION! IF YOU HELP ME I GIVE YOU BRAINLIEST I SWEAR)
Answers
x + (3x - 4) = 52
Can someone please help me with 1-9
Answers
Answer: 1. No because there are no numbers to solve it. 2. Yes, has numbers. 3.Yes, has numbers. 4.No because there are no numbers to solve it. 5. not sure 6.not sure 7. not sure 8.not sure 9. not sure
Step-by-step explanation:
PLZZZ HELPPPPPP ILL GIVE BRAINLIESTTTTT
Answers
N = visitors
1030 = 1300 - 18(P - 30)
1030 - 1300 = -18(P - 30)
-270 = -18(P - 30)
-270/-18 = (P - 30)
15 = P - 30
45 = P
ANSWER: 45Im giving brainliest
Answers
Answer:
> there you go
Step-by-step explanation:
Answer:
>
Step-by-step explanation:
Please complete the table below.
Answers
Answer:
1.is 12
2. is 36
3. is 18
4. is 4.5
Step-by-step explanation:
sorry if im wrong
$25 = 1 sweatshirt
$50 = 2 sweatshirts
$200 = 8 sweatshirts
Hope this helps :)
Consider the following equation: 4 + 6x = 6x + 4. Explain why the equation has many solutions.
Answers
!!!!NEED HELP ASAP DUE SOON!!!!!This table of values represents a linear function. Enter an equation that represents the function defined by this table of values.
Answers
Answer:
y=3x+6
Step-by-step explanation:
Just test this on like a graph or something and you will see it works. Let me know if there is a fault in my answer. Thanks! Have a good day.
Please help.
Is algebra.
Answers
Answer:
1 is C
2 is B
3 is C
Step-by-step explanation:
Answer:
give em brainliest because i have no idea
Step-by-step explanation:
WILL GIVE BRAINLIEST!
The graph below shows the relationship between distance walked and calories burned.
Find the slope of the line.
Write a sentence that explains the meaning of the slope.
Walking this many miles burns 100 calories.
Walking this many hours burns one calorie.
Walking burns this many calories per hour.
Walking this many miles burns one calorie.
Walking burns this many calories per mile.
Answers
Answer:
70
Step-by-step explanation:
The slope is down 1 over 1.5, so that means Start with the slope formula
m=
(y2 - y1)
(x2 - x1)
Substitute point values in the formula
m=
(140 - 280)
(2 - 4)
Simplify each side of the equation
m=
(140 - 280)
(2 - 4)
=
-140
-2
Solve for slope (m)
m= 70
Booommmm, Im proud of this lol, hope it helps <3
This equation shows how the amount of time that a receptionist named Terrence spends on the phone is related to the number of phone calls he routes to employees.
t = p + 17
The variable p represents the number phone calls he routes, and the variable t represents the number of minutes he is on the phone. In all, how many phone calls does Terrence have to route to spend a total of 20 minutes on the phone?
phone calls
Answers
hmmm I dunno sorry ......
Line with a slope of -3 and passes through
point (-1,7)
Answers
Answer:
y=-3x+5.5
Step-by-step explanation:
The answer is Y=-3x+5.5 because we already know the slope which is -3. Now all you have to do is change the Y-Intercept. As you can tell the Y-Intercept is not a whole number. So you have to change it to a decimal to get the point that you want. You can put the last part of the equation as 5.5 or 5.55. It doesn't matter but 5.5 is more official. If you find any fault in my answer let me know. Thanks. Have a good day!
What is the volume of this cylinder?
6 m
7 m
Round your answer to the nearest tenth.
Answers
Answer:
(Refer below:)
Step-by-step explanation:
Because there is no image, here's what I'm going to assume: there are multiple scenarios. Refer to each one below:
1) Where r = 6 and h = 7:
V = Bh
V = (π r²) (h)
V = (6² π) (7)
V = 36π (7)
V = 252π
2) Where r = 7 and h = 6:
V = Bh
V = (π r²) (h)
V = (7² π) (6)
V = 49π (6)
V = 294π
3) Where d = 6 and h = 7:
d = 2r = 6
r = 3
V = Bh
V = (π r²) (h)
V = (3² π) (7)
V = 9π (7)
V = 63π
4) Where d = 7 and h = 6:
d = 2r = 7
r = 3.5
V = Bh
V = (π r²) (h)
V = (3.5² π) (7)
V = 12.25π (7)
V = 87.75π ≈ 269.39
Mrs. Hinojosa had 75 feet of ribbon. If each of the 18 students in her
class gets an equal length of ribbon, how long will each piece be?
Write your answer
2. Using a whole number of feet and a whole number of inches
Answers
Each glass vase at a Mother’s Day brunch has 8 stems, of which 37.5% are stems of greenery. How many stems of greenery are in each vase?
Answers
You just do 8 times 37.5% or 0.375 and get 3.
In circle S with m RST = 104°, find the angle
104°, find the angle measure of minor arc RT
T
S
R
Answers
Answer:
104
Step-by-step explanation:
:)
Help!! Please!!!!!!!
Answers
Answer:
E
Step-by-step explanation:
trish wants to buy x oranges and y mangoes which she intends to carry in her bag. Her bag has space for only 6 fruits. Write an inequality to represent this information.
Answers
Answer:
x + y [tex]\leq 6[/tex]
Step-by-step explanation:
The amount of Oranges (x) and the amount of Mangoes (y) will add up to be less than or equal to 6.
This condition is represented by the inequality x + y ≤ 6
What is inequality?In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.
In this case, Trish wants to buy x oranges and y mangoes, and she intends to carry them in her bag.
Her bag can hold a maximum of 6 fruits.
Since she wants to buy both types of fruit, the total number of fruits must be less than or equal to 6.
The inequality to represent this situation is:
x + y ≤ 6
This inequality represents that the sum of the number of oranges and mangoes Trish buys should be less than or equal to 6, which is the maximum number of fruits her bag can hold.
Learn more about inequalities here:
https://brainly.com/question/30231190
#SPJ3
pls help im pretty sure its easy i just forgot
Answers
the average can be calculated by adding the scores together and then dividing by the number of scores.
we can set up an equation:
let x = test score needed on next test
(72+72+80+x)/4 = 71
multiply both sides by 4
72+72+80+x = 284
add like terms
224+x=284
subtract 224 from both sides
x=60
she will need a 60 for her average to be 71
She needs to score a 60 to have a average score of 71,
72+72+80+60=284
284/4=71
There are 6 friends baking bread. They equally share 3 sticks of butter. Write an equation to find the fraction of a stick of butter that each friend uses. 3 sticks of butter Choose the correct answer below. A. 3÷6= 6 3 B. 3÷6= 3 6 C. 6÷3= 3 6 D. 6÷3= 6 3
Answers
Answer:
B.
Step-by-step explanation:
the three sticks of butter were divided among six people
The graph shown is a scatter plot:
A scatter plot is shown with the values on the x-axis in increasing units of 1 and the y-axis in increasing units of 10. The data moves in an upward cluster. Point A has coordinates 8 and 70. Point B has coordinates 1 and 20, point C has coordinates 3 and 40, point D has coordinates 7 and 30. Additional points are located at 2 and 10, 2 and 20, 3 and 30, 5 and 50, 5 and 40, 7 and 70, 7 and 60.
Which point on the scatter plot is an outlier? (4 points)
Group of answer choices
Point D
Point B
Point C
Point A
Answers
i did this already
Answer:
D
Step-by-step explanation:
if we see on the graph, the point which is scattered is point D !
also took the FLVS test!!