The sum of the measures of two complementary angles is 90°. If one angle measures
15° more than twice the measure of the other, find the measure of the smaller angle.
The smaller angle measures: ?

Answers

Answer 1

Answer: 75°

Step-by-step explanation:

Solution;

Here:. let, one angle be x

From the question ,

x+15=90(Being sum of complementary angle)

x=90-15

x=75


Related Questions

Which graph represents the function f(x) =
1
X+3
-2?

Answers

Answer:

Step-by-step explanation:

Dont really understand what your asking, is it fx=x+1? If so this should be it:

In a year, Ivan earns $10,000 in taxable income from his part-time job. Using the above table, how much
federal income tax does Ivan owe?
O $1006
O $1500
O $970
O $1000
Question 2
1 pt

Answers

Answer: 1000

The 10% rate applies to income from $1 to $10,000; the 20% rate applies to income from $10,001 to $20,000; and the 30% rate applies to all income above $20,000. Under this system, someone earning $10,000 is taxed at 10%, paying a total of $1,000. Someone earning $5,000 pays $500, and so on.

Answer:970

Step-by-step explanation:

HELP ITS URGENTGKHJLKGFHHB

Answers

a) this shape can be divided into 5 individual squares. The area of each square is 5cm x 5cm, or 25 cm^2. We can multiply this by 5 to get the shapes total area: 125 cm^2

b) one of the shapes present is a triangle. It’s area is 1/2bh, or 1/2(6)(8). The area is 24m^2. The area of the square is 9m x 6m = 54m^2. We add these two to get the total area of the shape: 78m^2

c) A line can be drawn separating the shape into two rectangles. One rectangle can be shown having a width of 3cm and a length of 10cm. We multiply this to get an area of 30cm^2. We need to find the length of the second rectangle before we can find the area. We can do this by subtracting 3cm from 12cm to get 9cm. We now multiply 9x2=18. The area is 18cm^2. Add this to 30 to get the shapes total area of 48cm^2.

How many squares are in the

Answers

Answer:

10

Step-by-step explanation:

14 squares total in the figure

two different points on a number line are both 3 units from the point with coordinate -4. The solution to which equation gives the coordinates of both points

Answers

Two different points on the number line both at 3 units from the point, x=-4 are x= -1 and x= -7 and these two points are solution to the quadratic equation : x²+8x + 7 = 0.

What is an quadratic equation and how to frame quadratic equations using its solutions?

Quadratic solution in one variable x is ax²+ bx + c = 0  ,where a, b, c are constants

If two solutions x = a and x=b are given, then the quadratic equation which can give solution as x = a and x = b can be written as:

(x-a)(x-b) = 0

Given that the two different points are at 3 units  from  x = -4

One point will be  x = -4-3 =  -7

Another point will be x = -4 +3 = -1

For more explanation please look at the attached image.

Given two solutions are x= -1 and x = -7

Then the corresponding equation will be  (x-(-1)) (x-(-7))=0

(x+1)(x+7) = 0

x²+8x + 7 = 0.

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In a psychology class, 57 students have a mean score of 87.1 on a test. Then 10 more students take the test and their
mean score is 68.6. What is the mean score of all of these students together? Round your answer to one decimal place if
necessary.

Answers

The mean score of all of these students together, rounded to 1 decimal place is 84.3

What is the mean score in each case?

The mean score in each test taken is the total scores of all students that took the test divided by the number of students, in essence, the total score is determined as the mean score multiplied by number of students

total score for 57 students=87.1*57

total score for 57 students= 4,964.7

total score for 10 students=68.6*10

total score for 10 students=686.0

mean score of all of these students together=(4,964.7+686.0)/(57+10)

mean score of all of these students together= 84.3

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12. A DJ for the school dance plans to play
dance music for two hours. She has 20
requests for songs, and each song plays 31/2 minutes. If she playa all of the requests, how much time will she have to play other songs?

Answers

Answer:

50

Step-by-step explanation:

So, put 2 hours into minutes. You get 120. Now, seeing how you have 20 song requests, and each one takes 3.5 minutes, multiply those two values. Now you have 70. After doing that, just subtract 70 from 120 and get 50.


I need help asap. Is the answer yes or no

Answers

Answer:

No

Step-by-step explanation:


First try was incorrect
Tarzan played a game in which he could either lose or gain points
each round. At the end of 3 rounds, he had -8 points. After one more
round, he had 12 points. Express the change in points in the most
recent round as an integer.

Answers

Answer:

20

Step-by-step explanation:

|-8 - 12| = 20

The absolute value of -8 minus 12 will show us the difference, or the change in points as in this problem

|-8 - 12| = 20

PLS HELP! (math) Ill give you a brainliest and 10 points. :)

Answers

Answer: [tex]-\frac{43}{6}d - \frac{1}{8}[/tex]

Step-by-step explanation:

Convert everything to improper fractions:

[tex](-\frac{10}{3}d+\frac{3}{4}) - (\frac{23}{6}d-\frac{7}{8}) \\[/tex]

Multiply right side by two to get common denominator and distribute negative sign on to both terms in the second set of parenthesis:

 [tex]-\frac{20}{6}d+\frac{6}{8}-\frac{23}{6}d-\frac{7}{8}[/tex]

Combine like terms:

[tex]= -\frac{43}{6}d-\frac{1}{8}[/tex]

please just find the values of a and b , I can do the rest.​

Answers

Step-by-step explanation:

1×1+1×1/100

1+1/100

2/100

0.02 It might be the answer

Let us consider ab as 8

(8÷1/8)^2

(8/8)^2

(8/1)

8 ANS

What do you call two lines in 3-space that never meet, but are not parallel.​

Answers

Answer:  skew lines

An example:

Look where two walls meet. They meet at a vertical line. Let's call that line A.

Now look at where the ceiling and another wall meet (this wall is not the same as the previous two walls mentioned). The ceiling and this new wall meet at line B

Lines A and B are skew lines since they'll never cross even if you extend them out forever. They aren't parallel lines either because they don't point in the same 3D direction.

Check out the diagram below.

(8x-14) what is the solution of x?

Answers

Answer:    [ x = 2 ] is the solution to the equation.

Step-by-step explanation:    (8x-14) what is the solution of x?

Which are correct representations of the inequality 6x ≥ 3+ 4(2x - 1)? Select three options.

Answers

According to the given statement

Option 1 . 6x ≥ 3 + 8x - 4

2. 1 ≥ 2x

3. Option C represents the inequality drawn on the number line.

are the correct options.

What is Inequality?

An inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.  The majority of the time, size comparisons between two numbers on the number line are made. Different types of inequalities are represented by a variety of notations, including:

According to the given values;

Inequality has been given as 6x ≥ 3 + 4(2x - 1)

By solving it further,

6x ≥ 3 + 8x - 4 [Option B is the correct option]

6x ≥ 8x - 1

6x - 8x ≥ 8x - 1 - 8x  

-2x ≥ -1

2x ≤ 1

1 ≥ 2x [Option A is the correct option]

x ≤ ¹/₂

Option C represents the inequality drawn on the number line.

Therefore, Options A, B and C are the correct options.

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if a number is written as 3x3x5x3x7x7 find the smallest number by which this is to be multiplied to get a perfect cube

Answers

Answer:

175,

Step-by-step explanation:

perfect cube needs an extra 7 and two 5s.When u put these numbers you will see

In which set of number would you fibe the number

Answers

-153 would lie in the sets of real number which is option (A) .

A real number is a number that includes both rational and irrational numbers. Rational numbers such as integers (-2, 0, 1), fractions (1/2, 2.5), and irrational numbers such as √3 and π(22/7) are all real numbers.

We have given a number -153 which is an integer and it can be written in the form of [tex]\frac{p}{q}[/tex] where q is not equal to 0 .Hence , it is an rational number also and integer and rational number constitute together to form real numbers.

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The complete question is mention below :

In which set of number would you find the number -153

(A) real number

(B) natural number

(C) whole number

(D) irrational number

(E) integer

(F) rational number

I’d UV = 32 and TV = 40, what is TU?

Answers

Answer: TU=8

Step-by-step explanation:

TV=TU+UV

40=TU+32

40-32=TU+32-32

TU=40-32

TU=8

Take the equation as,

→ TV = TU + UV

→ TU = TV - UV

Let's find the value of TU,

→ TU = TV - UV

→ TU = 40 - 32

→ [ TU = 8 ]

Hence, the value is 8.

Determine whether x=15 is a solution to the given equation.

-4x-6=54

Answers

Answer:

No, it is not the solution.

Step-by-step explanation:

-4(15)-6=54

-60-6=54

-66=54

nope

Question content area top Part 1 You are running a fuel economy study. One of the cars you find is blue. It can travel 38 1/2 miles on 1 1/4 gallons of gasoline. Another car is red. It can travel 22/5 miles on 4/5 gallons of gasoline. What is the unit rate for miles per gallon for each​ car? Which car could travel the greater distance on 1 gallon of gasoline?

Answers

Based on the miles that each car can travel on, the unit rate of miles per gallon for each car is:

Blue car -  30.8 miles per gallonRed car -  5.5 miles per gallon

The car that can therefore travel the greater distance on 1 gallon of gasoline is the Blue car.

What is the unit rate for the miles per gallon?

The blue car can travel 38.5 miles on 1.25 gallons of gasoline. The unit rate is:
= 38.5 / 1.25

= 30.8 miles per gallon

The red car can travel 22/5 miles on 0.80 gallons of gasoline so the unit rate is:

= 22/5 ÷ 0.80

= 5.5 miles per gallon

The blue car can therefore travel the greater distance on 1 gallon of gasoline.

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P ⁡ ( A ) = 0.67 , P(A∪B)=0.89 and ⁡ ( B ) = 0.54 . Find P(A∪B′) P ⁡ ( A ∪ B ′ ) . Give an exact answer as a decimal

Answers

The value of the probability P(A u B') is 0.8218

How to determine the probability?

The given parameters are

P(A) = 0.67

P(B) = 0.54

P(A u B) = 0.89

From the above parameters, we have

P(B') = 1 - P(B)

P(B') = 1 - 0.54

P(B') = 0.46

So, we have

P(A u B') = P(A) + P(B') - [P(A) * P(B')]

This gives

P(A u B') = 0.67 + 0.46 - (0.67 * 0.46)

Evaluate

P(A u B') = 0.8218

Hence, the value of the probability P(A u B') is 0.8218

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What is the value of x in the equation , 7x+y=48 when y = 3?

Answers

Answer:

x =[tex] \frac{45}{7} [/tex]

Step-by-step explanation:

7x + y = 48

substitute y with 3 as given so,

7x + 3 = 48

7x = 48 - 3

7x = 45

x = 45 ÷ 7

x = [tex] \frac{45}{7} [/tex]

hope this helps

Hello can someone please help me with this

Answers

Q and R are collinear because they lie in the same straight line.

Check whether Q and R are collinear from the given figure.

What are collinear points?

Collinear points are the points that lie on the same straight line or in a single line. If two or more two points lie on a line close to or far from each other, then they are said to be collinear, in Euclidean geometry.

Here, Q and R are collinear because they lie in the same straight line.

A set of points in space are coplanar if there exists a geometric plane that contains them all.

Point S is outside the planes, so point S is non-coplanar with either plane.

The intersection of two planes is always a line.

The intersection between the two planes creates a line.

Line l intersects two planes V and W.

Therefore, Q and R are collinear because they lie in the same straight line.

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what is the value of the expression x^2+9/x^2 when x=0

Answers

The answer is undefined or no solution

Explanation
X^2+9/x^2

Plug 0 into x
0^2+9/0^2

Do exponents
0^2 = 0

0+9/0

Then addition
9/0

Then you would divide but since you can’t divide by 0 the answer is undefined or no solution

The U.S. per capita income for 2013 was $53143. If the average person operated like the federal government, how much money would the average person have spent in 2013? Express your answer round to the nearest

Answers

Answer:

i dont understand what is this

Answer:

Step-by-step explanation: per means divide and capita means person

so you would divide

$53143 by 1.3333333  to get your answer $ 39857 since you are rounding to the nearest dollar

Identify the factors of the terms of the expression. 5 + 8a + 14b

Answers

Answer:Terms:58a14bFactors:58, a14, b

7. Players on the football team are trying to gain weight. Tim, Jim, George, and Rick check
their weights. Tim weighs twice as much as Jim. Jim weighs 50 pounds less than
George. Rick weighs 10 pounds more than George. If Rick weighs 200 pounds, how
much does Tim weigh?

Answers

Tim's weight is 280 pounds.

What is Tim's weight?

Let t, j and r represent Tim's, Jim's and George's weight respectively.

The following equations can be determined giving the information in the question:

t = 2j equation 1

j = g - 50 equation 2

r = 10 + g equation 3

r = 200

Substitute for r in equation 3 : 200 = 10 + g

g = 200 - 10

g = 190

Substitute for g in equation 2 : j = 190 - 50 = 140

Substitute for g in equation 3: t = 2(140)

140 x 2 = 280

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The value of x given that the median of x-4, x, 2x and 2x +12 is 9

Answers

The value of x is 6 for the data having the median as 9.

We are given some data:

x - 4, x, 2 x and 2 x + 12

We are also given that the median of these terms = 9

M = 9

Now, we have to find the value of x

Now, we know that the median of some data having even values will be:

M = 2nd term + 3rd term / 2

M = x + 2 x / 2

9 = 3 x / 2

3 x = 18

x = 18 / 3

x = 6

Therefore, we get that, the value of x is 6 for the data having the median as 9.

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graph the line that passes through (0,3) and has slope 2/3

Answers

Answer:

(0,3) (3,5)

Step-by-step explanation:

You already have a point of (0,3) so graph that point and then using the slope go up 2 and right 3 so the other point you'll have is (3,5).

Equation: y = 2/3x + 3

Perpendicular slope is opposite sign reciprocal i.e. -3/2

Equation: y = -3/2x + 3

points on graph (0,3) (2,0)

Two trains leave stations 396 miles apart at the same time and travel toward each other. One train travels at 80 miles per hour while the other travels
at 100 miles per hour. How long will it take for the two trains to meet?

Answers

Answer:

It will take 2.2 hours for the trains to meet.

Step-by-step explanation:

Given,

Distance between two trains = 396 miles

Speed of one train = 95 mph

Speed of other train = 85 mph

Combined speed of trains = 95+85 = 180 mph

Distance = Speed * Time

Time =

Time =

Time = 2.2 hours

It will take 2.2 hours for the trains to meet.

Keywords: speed, distance

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Step-by-step explanation:


2.) How should $90 be divided into two parts so that the second part is $30
less than twice the first part?

Answers

60$ should be the first part. 90-30=60
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