Answers
Answer:
DCE is 54°
Step-by-step explanation:
To solve this, we must come up with an equation. Since D, C, and E are each straight lines, they are each 180°. then, each line is separating the other which splits the 180 degree line into two parts. For example, E separates D, C separates E, and so on. The exterior angles are given, but the interior aren't. So:
for angle EDC: 180 - (9x - 31)
for angle CED: 180 - (4x + 33)
for angle DCE: 180 - (7x - 2)
we know that all angles in a triangle add up to 180°. So, our equation is:
180 - (9x - 31) + 180 - (4x + 33) + 180 - (7x - 2)=180.
simplify:
180 - 9x + 31 + 180 - 4x - 33 + 180 - 7x + 2=180
540 - 20x = 180
540 - 180 = 20x
360=20x
x= 18
for angle EDC: 180 - (9•18 - 31)=49°
for angle CED: 180 - (4•18 + 33)=75°
for angle DCE: 180 - (7•18 - 2)=54°
Related Questions
How do you do this question?
Answers
Answer:
a) -7/9
b) 16 / (n² + 15n + 56)
c) 1
Step-by-step explanation:
When n = 1, there is only one term in the series, so a₁ = s₁.
a₁ = (1 − 8) / (1 + 8)
a₁ = -7/9
The sum of the first n terms is equal to the sum of the first n−1 terms plus the nth term.
sₙ = sₙ₋₁ + aₙ
(n − 8) / (n + 8) = (n − 1 − 8) / (n − 1 + 8) + aₙ
(n − 8) / (n + 8) = (n − 9) / (n + 7) + aₙ
aₙ = (n − 8) / (n + 8) − (n − 9) / (n + 7)
If you wish, you can simplify by finding the common denominator.
aₙ = [(n − 8) (n + 7) − (n − 9) (n + 8)] / [(n + 8) (n + 7)]
aₙ = [n² − n − 56 − (n² − n − 72)] / (n² + 15n + 56)
aₙ = 16 / (n² + 15n + 56)
The infinite sum is:
∑₁°° aₙ = lim(n→∞) sₙ
∑₁°° aₙ = lim(n→∞) (n − 8) / (n + 8)
∑₁°° aₙ = 1
What is the smallest value that x^(2)+6 can have?
Answers
Answer:
-56.9034
Step-by-step explanation:
Calculate the area of the triangle: A =
Answers
Answer:
27
Step-by-step explanation:
The area of the triangle is 30.9 square units.
We have,
From the figure,
Height = Distance between (-2, 6) and (-2, 0).
Base = Distance between (-2, 0) and (7, -5).
To find the distance between two points in a Cartesian coordinate system, use the distance formula:
Distance = [tex]\sqrt{((x_2 - x_1)^2 + (y_2 - y_1)^2)[/tex]
Height:
Distance = √((-2 - (-2))² + (0 - 6)²)
Distance = √(0² + (-6)²)
Distance = √(0 + 36)
Distance = √36
Distance = 6
Base:
Distance = √((7 - (-2))² + (-5 - 0)²)
Distance = √((7 + 2)² + (-5)²)
Distance = √(9² + (-5)²)
Distance = √(81 + 25)
Distance = √106
Distance ≈ 10.3
Now,
The area of the triangle.
= 1/2 x base x height
= 1/2 x 10.3 x 6
= 10.3 x 3
= 30.9 square units
Thus,
The area of the triangle is 30.9 square units.
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Find the value of x
(4x-20)°
Answers
Answer:
Bro this has no solution
Answer: 4(x−5)
Step-by-step explanation: I think this is right. If it’s not Im sorry. But if it is hope this helps!
Mel drove 432 miles during his trip. He drove an average of 72 miles per hour. How long was his trip?
Answers
Answer:
6h
Step-by-step explanation:
If he drove 72 mph and you know how long he drove, just need to divide:
[tex]Distance / Speed = Time[/tex]
Therefore:
[tex]432 / 72mph = 6h[/tex]
Answer:
hi its just like the dood above me said *dude sorry if i was late
Step-by-step explanation:
Find a and b: (10-4i)-(a+bi)=(6-6i)
Answers
Answer:
look at attached image, hope this helps! :)
If I had 5 mangos and someone took 5 apples, how much would i have left??????
Answers
Answer:
oof give me your points
Step-by-step explanation:
A fruit juice box contains 6% juice how is this percent rent as a decimal
Answers
Answer:
0.06
Step-by-step explanation:
6% = 0.06
0.06 as a decimal Hope this helped!
I will give you branilest!
What does the constant of proportionality represent?
Answers
Answer:
The constant of proportionality is the ratio between two directly proportional quantities
Step-by-step explanation:
Two quantities are directly proportional when they increase and decrease at the same rate.
Answer:The constant of proportionality is the constant value of the ratio of two proportional quantities x and y, typically the equation is Y=KX.
Step-by-step explanation:
FIRST ANSWER GETS BRAINLIEST!!!
Describe how to model -3x + 7 = 28 with algebra tiles.
Answers
Answer:
-7
Step-by-step explanation:
-3x+7=28
-7=28
-7
-3x/21
x=-7
Which of the following statements are true?
The Fire Station and the Worship Center lie on the same side of the transversal and form a linear pair.
The Museum and the Coffee Shop lie on the opposite sides of the transversal and form a pair of alternate exterior angles.
The Bank, the Museum, the Coffee Shop, the Worship Center are interior angles.
O The Day Care and the Park are on the same side of the transversal and form a linear pair.
The Day Care and the Community Center are supplementary angles and on opposite sides of the transversal.
The Bank and the Community Center are on opposite sides of the transversal and form a pair of alternate interior angles.
The Park and the Museum are adjacent angles and form a vertical pair of angles.
The Fire Station and the Community Center are consecutive interior angles lying on the same side of the transversal.
Answers
Answer:
*The Museum and the Coffee Shop lie on the opposite sides of the transversal and form a pair of alternate exterior angles
*The Day Care and the Community Center are supplementary angles and on opposite sides of the transversal.
*The Fire Station and the Community Center are consecutive interior angles lying on the same side of the transversal
Step-by-step explanation:
The transversal is the major road that crosses the other two roads shown in the diagram above.
Applying the knowledge of properties of lines, let's consider each statement given, to ascertain which is true and which is untrue:
Statement 1: 'The Fire Station and the Worship Center lie on the same side of the transversal and form a linear pair."
The fire station and the Worship center are on the same side of the transversal, however, they do not form a linear pair. They are corresponding angles.
Statement is NOT TRUE.
Statement 2: "The Museum and the Coffee Shop lie on the opposite sides of the transversal and form a pair of alternate exterior angles."
This statement is TRUE.
The Museum and the Coffee shop form alternate exterior angles pair.
Statement 3: "The Bank, the Museum, the Coffee Shop, the Worship Center are interior angles."
This is NOT TRUE.
They are all EXTERIOR angles.
Statement 4: "The Day Care and the Park are on the same side of the transversal and form a linear pair."
This is NOT TRUE.
They are consecutive interior angles.
Statement 5: "The Day Care and the Community Center are supplementary angles and on opposite sides of the transversal."
This is TRUE.
Statement 6: "The Bank and the Community Center are on opposite sides of the transversal and form a pair of alternate interior angles"
This is NOT TRUE.
They are on opposite side of the transversal but one the bank is an exterior angle while the community center is an interior angle.
Statement 7: "The Park and the Museum are adjacent angles and form a vertical pair of angles."
This is NOT TRUE.
They do not share the same side, so they can't be adjacent angles. They only share the same vertex, which makes them vertical angles.
Statement 8: "The Fire Station and the Community Center are consecutive interior angles lying on the same side of the transversal."
This is TRUE.
I really need help with this ?
Answers
you use the formula
c= π d
then plug is 15 for d and you should get the answer
There are 70 fish in the tank. Half of the fish have orange spots and 1/5 of the remaining fish have orange and black spots. How many fish have orange and black spots?
Answers
Answer:
7 orange and black fish
Step-by-step explanation:
a fifth of the remaining fish is 7 because you are doing 35*1/5. 35 is the remaining number of fish because already half of the other fish is 35 and they are orange
Sue has $1.15 in nickels and dimes, a total of 16 coins.
How many nickels and how many dimes does Sue have?
Answers
Answer:
9 nickels . 7 dimes
Step-by-step explanation:
i take the same class so i know where u got it from
A right triangle has side lengths AC = 7 inches, BC = 24 inches, and AB = 25 inches.
What are the measures of the angles in triangle ABC?
m∠A ≈ 46.2°, m∠B ≈ 43.8°, m∠C ≈ 90°
m∠A ≈ 73.0°, m∠B ≈ 17.0°, m∠C ≈ 90°
m∠A ≈ 73.7°, m∠B ≈ 16.3°, m∠C ≈ 90°
m∠A ≈ 74.4°, m∠B ≈ 15.6°, m∠C ≈ 90°
Answers
Answer:c
Step-by-step explanation:
The measures of the angles in triangle ABC are; m∠A ≈ 73.7°, m∠B ≈ 16.3°, m∠C ≈ 90°
How to find the measures of angles in triangle ABCIt follows that the right angle is between the two shorter sides;
Hence, the angle measure, m∠C ≈ 90°.On this note, the angle, m∠A is opposite side BC;
Therefore, from sine formula;
Sin m∠A ≈ 24/25Sin m∠A ≈ 0.96m∠A ≈ sin-¹(0.96)m∠A ≈ 73.7°
And from sum of angles in a triangle;
m∠A ≈ 16.3°
Read more on right triangle;
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please help me asap on this word problem! explain.
Answers
Answer:
The second one for both a and b.
Step-by-step explanation:
The first cereal box is:
8•3•11=264 inches cubed
the second cereal box is:
10•10•3=300 inches cubed
a. The box that holds more cereal would be the second one, since it has more volume.
b. The box that requires more material to make is the second one, since the it is bigger in volume, therefore, bigger in length and width.
Kadyn rode his bicycle in a marathon for
176 miles. He took a rest stop every 22
miles. How many rest stops did Kadyn
take?
Answers
Kadyn took 8 rest stops.
Step-by-step explanation:
22 x 8 = 176
Answer: The answer is 8
What is the correct sum of 2.34 and 128.8
Answers
Answer:
131.14
Step-by-step explanation:
Hope this helps!! Good luck!!
Answer:
131.14
Step-by-step explanation:
2.34 + 128.8 = 131.14
3/4 (x + 18) = 15 What is x equal to
Answers
Answer:
x=2
Step-by-step explanation:
hope it helps
please mark as Brainliest
Answer:
x = 2
Step-by-step explanation:
For me it's easier to work with decimals than fractions, so I converted 3/4 to .75
.75(x + 18) = 15
.75x + 13.5 = 15
That was just distributing the .75 but here is where it gets a bit confusing.
.75x + 13.5 = 15
-13.5 -13.5
.75x = 1.5
Divide both sides by .75 to isolate the variable.
x = 2
Hope that helps and have a great day!
divide (2x^2-5x-3) by (x-3)
Answers
Answer:
2x + 1
Step-by-step explanation:
Answer:
The expression simplifies to [tex]2x+1[/tex]
Step-by-step explanation:
To divide the polynomials, we must first factor the trinomial into binomials so we can easily divide it by the binomial. Factoring [tex]2x^2-5x-3[/tex] results in the expression [tex](x-3)(2x+1)[/tex]. Since these two values are multiplied, the [tex](x-3)[/tex] can be canceled out by the divisor, which is the exact same expression. This leaves us with our final answer: [tex]2x+1[/tex].
What is the quotient of : 4.652/.3
Answers
Answer:
15.51
Step-by-step explanation:
The horse ran the first mile in 132.78 seconds and the second mile in 157.103 seconds. What is the estimated difference in the times?
Answers
Answer:
I have no clue sorry
Step-by-step explanation:
sorrytroublechevkers
Answer:
the difference is 24.323 seconds, if you round the numbers and then subtract the difference is 24 seconds
Please help. Will mark brainleist
Answers
Perimeter= 2l + 2w
Área- 5(8x +3)
Simplify- 40x +15
Perimeter- 2(8x+3) + 2(5)
Simplify- 16x+6+10
Simplify more- 16x +16
A gas company uses formula c=26+0.05 t worI out the charge t a customer each month
Answers
Answer:
more info please!!!
Step-by-step explanation:
In Exercises 1–4, use these results from a USA Today survey in which 510 people chose to respond to this question that was posted on the USA Today website: "Should Americans replace passwords with biometric security (fingerprints, etc)?" Among the respondents, 53% said "yes." We want to test the claim that more than half of the population believes that passwords should be replaced with biometric security.Number and Proportiona. Identify the actual number of respondents who answered "yes."b. Identify the sample proportion and the symbol used to represent it.
Answers
Answer:
The proportion of the population believes that passwords should be replaced with biometric security is not more than 50%.
Step-by-step explanation:
In this case we need to test the claim that more than half of the population believes that passwords should be replaced with biometric security.
Assume that the significance level of the test is, α = 0.05.
The hypothesis can be defined as follows:
H₀: The proportion of the population believes that passwords should be replaced with biometric security is 50%, i.e. p = 0.50.
Hₐ: The proportion of the population believes that passwords should be replaced with biometric security is more than 50%, i.e. p > 0.50.
The information provided is:
[tex]n = 510\\\hat p=0.53[/tex]
Compute the test statistic value as follows:
[tex]z=\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]=\frac{0.53-0.50}{\sqrt{\frac{0.50(1-0.50)}{510}}}\\\\=1.354991\\\\\approx 1.35[/tex]
The test statistic value is 1.35.
The decision rule is:
The null hypothesis will be rejected if the p-value of the test is less than the significance level.
Compute the p-value as follows:
[tex]p-value=P(Z>1.35)[/tex]
[tex]=1-P(Z<1.35)\\=1-0.91149\\=0.08851\\\approx0.088[/tex]
p-value = 0.088 > α = 0.05.
The null hypothesis will not be rejected at 5% significance level.
Thus, there is not enough evidence to support the claim.
Conclusion:
The proportion of the population believes that passwords should be replaced with biometric security is not more than 50%.
Find the value of x.
Answers
Answer: x=10
Step-by-step explanation:
5x+3=53 subtract 3 from 3 and 53
5x=50 divide both sides by 5
50/5=10
now lets check to be sure
5*10=50+3=53
the solution is correct
hoped this help =)
8 Determine if the product of 32 and 8V 18 is
rational or irrational. Explain your answer.
Answers
Answer: It is irrational.
Step-by-step explanation:
√18 is an irational number. Multiplying most rational numbers by an irrational number results in an irrational number.
i need your help and to try this out so can you please answer dis
-2(x+6)
Answers
Answer:
12x - 12
Step-by-step explanation:
-2(x + 6)
open the parenthesis
-2 * x + -2 * 6
-2x - 12
-2x - 12
Which term describes the relationship between L A and 2 B, if the m LA= 84º and m 2 B = 96º7
A
vertical
В.
adjacent
С
supplementary
D
complementary
Answers
Answer:
Supplementary
Step-by-step explanation:
84 plus 96 equals 180 degrees
supplementary angles are angles that add up to 180 so their relationship is supplementary
Graph y = - 3x + 7 .
Answers
Answer:
put your first point at 7 in y axis that point go down 3 to the rights side 1 and your point should be at (1,4) then connect the dots and that's how you graph it
Step-by-step explanation:
The equation of the line y = - 3x + 7 is drawn below.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The linear equation is given as,
x/a + y/b = 1
Where 'a' is the x-intercept of the line and ‘b’ is the y-intercept of the line.
The equation of the line is given below.
y = -3x + 7
Convert the line into intercepts form, then we have
y = - 3x + 7
3x + y = 7
x / (7/3) + y / 7 = 1
The equation of the line is drawn below.
More about the linear equation link is given below.
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