this is a geometry question I know the answers are 81 and 9 because of the back of the book but I don't understand how it got to that point
Answers
Answer:
18°
Step-by-step explanation:
let the angle be x , then its complement is 90 - x
we are told the angle is [tex]\frac{1}{4}[/tex] of its complement , then
x = [tex]\frac{1}{4}[/tex] (90 - x) ← multiply both sides by 4 to clear the fraction
4x = 90 - x ( add x to both sides )
5x = 90 ( divide both sides by 5 )
x = 18
then the angle is 18° and its complement is 90° - 18° = 72°
Answer:
The angles measure 18° and 72°.
Step-by-step explanation:
81 and 9 is not correct for this problem.
9 is not 1/4 of 81, so 9 and 81 cannot be the answer, although it is true that angles measuring 9° and 81° are complementary since 9 + 81 = 90.
You need to know what complementary angles are.
Definition:
Two angles are complementary if the sum of their measures is 90°.
Each angle is said to be the complement of the other angle.
You have two complementary angles, both of whose measures are unknown.
Call the smaller measure x and the larger measure y.
Since the angles are complementary, the sum of their measures is 90°.
x + y = 90
The measure of one angle is 1/4 the measure of the other angle.
If the smaller angle's measure is 1/4 of the larger angle's measure, then the larger angle's measure is 4 times the smaller angle's measure.
That means that y = 4x.
You have two equations and two unknowns:
x + y = 90
y = 4x
This is a system of equations. We will solve it using the substitution method.
Since y = 4x, where you see y in the first equation, substitute it with 4x
x + y = 90
x + 4x = 90
5x = 90
Divide both sides by 5.
x = 18 <---- smaller angle
y = 4x = 4(18) = 72 <----- larger angle
Answer: The angles measure 18° and 72°.
Check: Do the measures 18 and 72 add to 90?
18 + 72 = 90 Yes.
Is the measure of the smaller angle 1/4 the measure of the larger angle?
18/72 = 9/36 = 1/4 Yes.
18 and 72 is the correct answer.
Related Questions
Norma made 16 braided bracelets. She split them evenly among g gift boxes. Write an expression that shows how many bracelets were in each box.
Answers
Answer:
16/g
Step-by-step explanation:
Answer:
the correct answer is 16÷g
Step-by-step explanation:
why 16÷g because the explanation said 16 braided bracelets. and the gift boxes was g so i think its 16÷g
Find the slope of the line
Answers
Answer:
1/5th
Step-by-step explanation:
trust me. ik how to do slopes
Find the length of the third side to the nearest tenth.
3
9
Answers
Answer:
8.5
Step-by-step explanation:
X^2 = 9^2 - 3^2
x^2 = 81 - 9
x^2 = 72
x = √72
x = 8.485
I need to graph y=−2.5, please help!?!
Answers
Answer:
Step-by-step explanation:
Blake practices the piano 420 minutes in 4 weeks. assuming he practices the same amount every week, how many minutes would he practice in 1 weeks?
Answers
Explanation: 420min / 4 weeks = 105min/week
Find the ratio of the speed of a cycle 15km per hour to the speed of scooter 30km per hour
Answers
Step-by-step explanation:
15:30
Divide by 5
3:6
1:2
Answer:
3:4
Step-by-step explanation:
speed of cycle=15 km pers
speed of scooter=30 km per s
Now,
Ratio of speed= distance travelled ÷time taken
= (15+30)÷60 (1 hour=60 min)
= 45÷60
= 3÷4
= 3:4
:: The answer is 3:4.
(9x+29)+(93-5x)+(10x+2)
Answers
Answer:
14x + 124
General Formulas and Concepts:
Algebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define Expression
(9x + 29) + (93 - 5x) + (10x + 2)
Step 2: Simplify
Combine like terms (x): 14x + 29 + 93 + 2Combine like terms (Z): 14x + 124Step-by-step explanation:
1, Rearrange the problem.
(9+29)+(9−5)+(10+2)
(9x+29)+(93−5x)+(10x+2)
(9+9)+(−5+93)+(10+2)
2, Solve.
14x+124
Answer:14x+124
What is the probability
Answers
Answer:
Probability = the number of ways of achieving success. the total number of possible outcomes.
Step-by-step explanation:
For example, the probability of flipping a coin and it being heads is ½, because there is 1 way of getting a head and the total number of possible outcomes is 2 (a head or tail). We write P(heads) = ½ .
Lukas graphed the system of equations shown.
2x + 3y = 2
y = A system of equations. 2 x plus 3 y equals 2. y equals StartFraction one-half EndFraction x plus 3.x + 3
A coordinate grid with 2 lines. The first line passes through the points labeled (negative 2, 2), (0, 0.67) and (1, 0). The second line passes through the points labeled (negative 2, 2) and (0, 3).
What is the solution to the system of equations?
Answers
The solution to the system of equations is A. (-2, 2)
How to calculate the value?The system of equation was:
2x + 3y = 2 ..... i
y = 1/2x + 3 ...... ii
Substitute equation ii into i
2x + 3/2x + 9 = 2
Multiply through by 2.
7x + 18 = 4
7x = -14
Divide
x = 14/7
x = -2
Also, y = 1/2x + 3
y = 1/2(-2) + 3
y = -1 + 3
y = 2
Therefore, the solution to the system of equations is (-2, 2).
Learn more about equations on:
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Lukas graphed the system of equations shown. 2x + 3y = 2 y = A system of equations. 2 x plus 3 y equals 2. y equals StartFraction one-half EndFraction x plus 3.x + 3 A coordinate grid with 2 lines. The first line passes through the points labeled (negative 2, 2), (0, 0.67) and (1, 0). The second line passes through the points labeled (negative 2, 2) and (0, 3). What is the solution to the system of equations? (–2, 2) (0, 0.67) (0, 3) (1, 0)
can ya'll help me with this 7r+8>64-r
Answers
Answer:
r > 7
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define inequality
7r + 8 > 64 - r
Step 2: Solve for r
Add r to both sides: 8r + 8 > 64Subtract 8 on both sides: 8r > 56Divide 8 on both sides: r > 7Here we see that any value r greater than 7 would work as a solution to the inequality.
HELP ASAPPP!!!! Please dude
Answers
Answer:
A
Step-by-step explanation:
That's the only one that makes sense
Answer:
It's either A or C
Step-by-step explanation:
plz help. an airplane flies 1,600 miles in four hours. how far will it fly in half a day?
Answers
Answer:
4800
Step-by-step explanation:
A day consist of 24 hours. Half of 24 is 12. 4 x 13 = 12 so 1600 x 3 = 4800.
I NEEEEEEEEEEEEEEEEEEEED HELLLLLLLLLP
Answers
Answer:
go to jesus
Step-by-step explanation:
put both hands together and pray we know your struggling
Which of these is an example of typing at a rate of 42 words per minute?
A
typing 21 words in 2 minutes
B
typing 84 words in 3 minutes
С
typing 210 words in 5 minutes
D
typing 400 words in 10 minutes
Answers
Answer:
C. typing 210 words in 5 minutes
Step-by-step explanation:
Because 210 divided by 5 equals 42 over 1. :)
Answer:
C. Typing 210 words in 5 minutes
Step-by-step explanation:
42 words per minute, so think about this. 42 plus 42 is 84, so it is not A cause a to less than 84. And it is not Ba either cause 84 words is 2 minutes. 42×5=210
Select the correct answer.
A parabola has an x-intercept of -1, a y-intercept of -3, and a minimum of -4 at x = 1.
Which graph matches this description? ( in the screenshots)
Answers
Step-by-step explanation:
answer A should be correct
139 students choose to attend one of three after school activities: football, tennis or running.
There are 66 boys.
56 students choose football, of which 28 are girls.
54 students choose tennis.
18 girls choose running.
A student is selected at random.
What is the probability this student chose running?
Give your answer in its simplest form.
Answers
Explanation:
Total student: 139 (66 boys/73 girls)
Football: 56 student (28 boy/28 girl)
Tennis: 54 student (27 boy/ 27 girl)
Running: 29 student (18 girls/11 boys)
The probability that a student chose running is 29/139
If CM=15, Find DC and DM
Answers
image ????? please attach image and try again
The discriminant of a quadratic equation is negative. One solution is 2 +3i.
What is the other solution?
A. 3-2i
B. 2-3i
C. -2+3i
D. 3+2i
Answers
Answer: B
Step-by-step explanation:
How many 5 minute intervals are between 4:35 pm and 5:00 pm
Answers
Answer: There are 5 five minute intervals.
I hope this helps, and Happy Holidays! :)
Answer:
25, 5 minute intervals.
Step-by-step explanation:
Hope this helps and you have a great day!
Line r is parallel to line t. Find m<5.
Answers
Answer:
B. 135
Step-by-step explanation:
According to corresponding angles answer is b
135 is congruent to angle 1 and angle 1 is congruent to angle 5
so if angle 1 is 135 then angle 5 is 135
Brainliest please
Hope this helps
Answer:
d.
Step-by-step explanation:
straight angle = 180 degress
135+45=180
Im very confuzed by this plz help me!
Answers
Answer: 2.339
Step-by-step explanation:
Make sure that you align your decimal points. The 1 shouldn't line up with the 7.
Instead, write your equation like:
2.37
- 0.031
The numbers don't match up, but instead, the decimals do.
I hope this helps! :)
an island has three towns located at points with the coordinates a (15,3) b (25,10) and c (0,20) where the coordinates have units of Km the government wants to locate a toxic waste dump at a position as far as possible away from each town you may assume that this location is not on the edge of the island find the coordinates at the point where the toxic waste dump should be located
Answers
9514 1404 393
Answer:
(13.06, 16.41)
Step-by-step explanation:
Any point not on a perpendicular bisector of the line between towns will be closer to one town than the other. So, the intersection of perpendicular bisectors will be the equidistant from all towns. That point is the circumcenter of the circle circumscribing the triangle with the towns as its vertices. This can be found as the intersection of two perpendicular bisectors of the segments between the towns.
The midpoint of AB is ...
(A +B)/2 = ((15, 3) +(25, 10))/2 = (40, 13)/2 = (20, 6.5)
The midpoint of AC is ...
(A +C)/2 = ((15, 3) +(0, 20))/2 = (15, 23)/2 = (7.5, 11.5)
__
The differences between points are ...
B -A = (25, 10) -(15, 3) = (10, 7)
C -A = (0, 20) -(15, 3) = (-15, 17)
Then the perpendicular bisector equations can be written as ...
bisector of AB ⇒ 10(x -20) +7(y -6.5) = 0
10x +7x -245.5 = 0
bisector of AC ⇒ -15(x -7.5) +17(y -11.5) = 0
-15x +17y -83 = 0
These have coefficients that aren't particularly nice, so a method similar to Cramer's Rule is suitable for solving this pair of equations. Using the "cross multiplication method", we have ...
x = (7(-83) -17(-245.5))/(10(17) -(-15)(7)) = 3592.5/275 = 13 7/110 ≈ 13.06
y = (-245.5(-15) -(-83)(10))/275 = 4512.5/275 = 16 9/22 ≈ 16.41
The point as far as possible from each town within the boundary of the island has coordinates (13.06, 16.41).
_____
Further detail regarding the solution
Here, we have written the equation for the perpendicular bisector this way. The difference in coordinates between points R and S can be called ...
R -S = (∆x, ∆y)
The midpoint of segment RS can be called ...
(R +S)/2 = (h, k)
Then the line that is a perpendicular bisector of RS can be written as ...
∆x(x -h) +∆y(y -k) = 0
This is the form that is used above.
__
The "cross multiplication method" for solving a pair of general-form linear equations ...
ax +by +c = 0
dx +ey +g = 0
will give the solution as ...
1/(ae -db) = x/(bg -ec) = y/(cd -ga)
If you write the coefficients in two rows of four, the pattern of products and differences is easy to see.
[tex]\left[\begin{array}{cccc}a&b&c&a\\d&e&g&d\end{array}\right][/tex]
Which function has only one x-intercept at (-6, 0)?
O fx) =x(x -6)
O fx) = (x-6)(x -6)
O f() = (x+ 6)(x - 6)
O f)= (x+ 6)(x + 6)
Please help
Answers
Answer: O f)= (x+ 6)(x + 6)
Hope this helps :)
In the diagram below, AB is parallel to CD. What is the value of x?
A. 120
В. 80
с. 100
D. 60
Answers
Answer:
120
Step-by-step explanation:
By the rule of opposite angles, we can determine that x=120 because:
AB is parallel to CD
120 degree angle (let's call it Y) is on AB
X (we can see that it is obtuse) is on CD
So, Y is congruent to X, vice versa, so x=120
hope this helps! :)
ibrahim
(a) Work out the value of (16/81)^3/4
Answers
Answer: 8/27
Step-by-step explanation:
Just evaluate the equation.
Do it in this order: Parenthesis, Exponents, Multiply/Divide, Add/Subtract.
So:
16/81 = 16/81
16/81 To the Power of 3/4 = 0.2^0.75 = 8/27
find the 24th term of the arithmetic
sequence whose common difference is d=4
and whose first term is a1=1
what is the answer?
Answers
Answer:93
Step-by-step explanation:
For their history project, students case to either write a report or give a presentation. Two fifth of the students wrote a report and 0.6 of the students gave a presentation. Dominic said that more students gave a presentation. Do you agree with Dominic? Use numbers and words to support your answer. *
Answers
Answer: Yes. Dominic is correct
Step-by-step explanation:
We are informed that Two fifth of the students wrote a report. This also means that (2/5 × 100) = 40% = 0.4 wrote a report and 0.6 of the students gave a presentation.
From the decimals gotten, we can see that 0.6 is more than 0.4. Therefore, more students gave a presentation. This implies that Dominic is correct.
who is good at math?! IM GIVING BRAINLIEST! comment or answer on the question so we can talk cuz i need help!!
Answers
Answer:
Wheres the question then i'll help
Step-by-step explanation:
Will the standard form of 8.5 × 10–3 be more or less than 1? Explain what effect the negative exponent has.
Answers
The value is less than 1 and the impact of the negative exponent is that it moves the decimal point to the left
What is standard form?Standard form can be defined as a mathematical way of writing large or too small numbers in a defined manner.
Given the standard form;
8.5 × 10–3
The negative exponent (-3) indicates an addition of three zeros ruled out from the start.
It could be written as;
0. 0085
This is 0. 9915 less than the value of 1
The impact of the negative value is that it moves the decimal point to the left.
Thus, the value is less than 1 and the impact of the negative exponent is that it moves the decimal point to the left
Learn more about standard form here:
https://brainly.com/question/19169731
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Solve for x in the triangle above
Answers
Answer:
x = 30
Step-by-step explanation:
The interior angles of a triangle must always add up to 180.
2x + 2x + 3x - 30 = 180
Add 30 to both sides to seperate variables.
2x + 2x + 3x = 210
Combine like terms.
7x = 210
Divide by 7 to isolate x.
x = 30