Find the measure if two complementary angles if the measure of the larger angle is 10 more than the measure of the smaller angle.​

Answers

Answer 1

Answer: 50° and 40°

Step-by-step explanation:

Complementary angles add up to 90°

Smaller angle - x

Larger angle - 10 + x

10 + x + x = 90

10 + 2x = 90

Subtract 10 from both sides

2x = 80

Divide both sides by 2

x = 40

Larger angle - 10 + x

10 + 40 = 50

The measure of the smaller angle is 40° and the measure of the larger angle is 50°

Hope I helped!


Related Questions

If car a drive 300 miles and 6 hours and karbi drive 50 miles in a certain amount of time what is the unknown

Answers

Answer:

1 hour

Step-by-step explanation:

300/6= 50

in one hour he drives 50 miles

so the answer is 1 hour

Jaden and Dani are both travelling by train.
Jaden's train travels 130 km in 75 minutes.
Dani's train travels 312 km.
It leaves at 15:15 and arrives at 18:30.
Work out the difference, in km/h, between the average speed of their trains.

Answers

Answer:  28.765957 km/hour

This value is approximate. Round it however you need to.

==============================================

Explanation:

Let's convert 75 minutes to hours.

75 min = (75 min)*(1 hr/60 min) = (75/60) hr = 1.25 hr

So Jaden's train takes 1.25 hours to travel 130 km. Her train's speed is

speed = distance/time

speed = (130 km)/(1.25 hrs)

speed = (130/1.25) km per hour

speed = 104 km per hour

Let A = 104, so we can use it later.

------------------------------------

Dani's train leaves at 15:15 and arrives at 18:30. We need to calculate the duration of elapsed time here.

From 15:15 to 16:00, this is a difference of 00:45, aka 45 minutes or 45/60 = 3/4 = 0.75 hours.From 16:00 to 18:00, this is a time gap of 2 hours. From 18:00 to 18:30, this is a gap of 30/60 = 0.5 hours

Overall, the length of time from 15:15 to 18:30 is 0.75+2+0.5 = 3.25 hours.

Dani's train travels 312 km in 3.25 hours.

That train's speed is...

speed = distance/time

speed = (312 km)/(3.25 hours)

speed = (312/2.35) km per hour

speed = 132.765957 km per hour, approximately

Let B = 132.765957 so we can use it later.

------------------------------------

Lastly, we subtract the values of A and B to get the final answer

C = difference in train speeds.

C = B - A

C = 132.765957 - 104

C = 28.765957 km/hour

This value is approximate. This says that Dani's train is approximately 28.765957 km/hour faster compared to Jaden's train.

Ashley is buying her husband new video games for his PS4. The new Call of Duty and Madden Football is a total of $98.35. How much does each game cost if they cost the same amount?

Answers

Answer: $49.18

Step-by-step explanation:

$98.35 divided by 2 equals 49.175 if rounded it is $49.18

In a cross between individuals that are Aa × Aa, how many boxes of the Punnett square will show an offspring that is AA?

please help

Answers

Answer:

1

Step-by-step explanation:

PLEASE ANSWER ASAP FOR BRAINLEST WITH WORK!!!!!!!!!!!!!!!

Answers

Answer:

The answer is 43 because 600/14 = 42.8571429 rounded to the nearest whole number is 43.

Step-by-step explanation:

which expressions are equivalent to the first one? I don't understand how to determine that so please explain. Thanks!​

Answers

9514 1404 393

Answer:

  (a) -(x+7)/y

  (b) (x+7)/-y

Step-by-step explanation:

There are several ways you can show expressions are equivalent. Perhaps the easiest and best is to put them in the same form. For an expression such as this, I prefer the form of answer (a), where the minus sign is factored out and the numerator and denominator have positive coefficients.

The given expression with -1 factored out is ...

  [tex]\dfrac{-x-7}{y}=\dfrac{1(x+7)}{y}=\boxed{-\dfrac{x+7}{y}} \quad\text{matches A}[/tex]

Likewise, the expression of (b) with the minus sign factored out is ...

  [tex]\dfrac{x+7}{-y}=\boxed{-\dfrac{x+7}{y}}[/tex]

On the other hand, simplifying expression (c) gives something different.

  [tex]\dfrac{-x-7}{-y}=\dfrac{-(x+7)}{-(y)}=\dfrac{x+7}{y} \qquad\text{opposite the given expression}[/tex]

__

Another way you can write the expression is term-by-term with the terms in alpha-numeric sequence (so they're more easily compared).

  Given: (-x-7)/y = (-x/y) +(-7/y)

  (a) -(x+7)/y = (-x/y) +(-7/y)

  (b) (x+7)/(-y) = (-x/y) +(-7/y)

  (c) (-x-7)/(-y) = (x/y) +(7/y) . . . . not the same.

__

Of course, you need to know the use of the distributive property and the rules of signs.

  a(b+c) = ab +ac

  -a/b = a/(-b) = -(a/b)

  -a/(-b) = a/b

__

Summary: The given expression matches (a) and (b).

_____

Additional comments

Sometimes, when I'm really stuck trying to see if two expressions are equal, I subtract one from the other. If the difference is zero, then I know they are the same. Looking at (b), we could compute ...

  [tex]\left(\dfrac{-x-7}{y}\right)-\left(\dfrac{x+7}{-y}\right)=\dfrac{-y(-x-7)-y(x+7)}{-y^2}\\\\=\dfrac{xy+7y-xy-7y}{-y^2}=\dfrac{0}{-y^2}=0[/tex]

Yet another way to check is to substitute numbers for the variables. It is a good idea to use (at least) one more set of numbers than there are variables, just to make sure you didn't accidentally find a solution where the expressions happen to be equal. We can use (x, y) = (1, 2), (2, 3), and (3, 5) for example.

The given expression evaluates to (-1-7)/2 = -4, (-2-7)/3 = -3, and (-3-7)/5 = -2.

(a) evaluates to -(1+7)/2 = -4, -(2+7)/3 = -3, -(3+7)/5 = -2, same as given

(b) evaluates to (1+7)/-2 = -4, (2+7)/-3 = -3, (3+7)/-5 = -2, same as given

(c) evaluates to (-1-7)/-2 = 4, different from given

my teacher would like you to solve this using fraction ex:(345/x=727/2355) (just a heads up!!) please help :)​

Answers

The answer is your teacher different

Please help with all three will give brainliest and $5

Answers

[tex]\frac{x}{y}[/tex]Answer:

Six would be your answer

Step-by-step explanation:

2y-9= y-2

-y        -Y

y-9=-2

y=-2+9

y=6

AC =
Round your answer to the nearest hundredth.
?
С
70°
4
B

Answers

Answer:

huh? im confused on the question

Step-by-step explanation:

!!

Answer: 3.76

Step-by-step explanation:

trust

what is the the y intercept of the function f(x)=-2/9X+1/3?​

Answers

Answer:

1/3

Step-by-step explanation:

the y-intercept is when x=0, so, if x was 0, y is1/3

plz brainliestt

Answer:

It is 1/3

Step-by-step explanation:

hope it helps ^^

Plot the points (0, −5) and (2, 4) on the coordinate plane.

Answers

Answer:

Hope i helped

Step-by-step explanation:

The answer is in the picture.

Find the measure of each angle. a. Angle A = ? b. Angle B = ? c. Angle C = ?

Answers

Answer:

angle A=140

angle B=105

angle C=60

angle A=140

angle B=105

angle C=60

Step-by-step explanation:

PENN

Given ΔPQR and ΔSTU, what is m∠Q?

Answers

Given that ΔPQR and ΔSTU are similar triangles, m∠Q = 64°.

Similar TrianglesThe ratios of the corresponding sides of similar triangles are always equal to each other, that is, the corresponding sides are proportional.Also, corresponding angles of two similar triangles are congruent.

Thus:

ΔPQR and ΔSTU are similar because:

PQ/ST = PR/SU = QR/TU = 3.5

Therefore,

m∠Q = 180 - 70 - 46

m∠Q = 64°

Thus, given that ΔPQR and ΔSTU are similar triangles, m∠Q = 64°.

Learn more about similar triangles on:

https://brainly.com/question/2644832

SOLVE FOR X, WILL GIVE BRAINLIEST

Answers

The two angles are supplementary angles and when added together equal 180 degrees.

3x -12 + x+2 = 180

Simplify:

4x -10 = 180

Add 10 to both sides

4x = 190

Divide both sides by 4

X = 190/4

X = 47.5

A city has a population of 390,000 people. Suppose that each year the population grows by 6%. What will the population be after 15 years?
Use the calculator provided and round your answer to the nearest whole number.

Answers

Answer:

uh 351,000? im not sure..

Step-by-step explanation:

I will give brainiest to whoever answers correctly !!

Answers

Answer:

it is not clear .... please add the question and send the link of the question

Answer:

$712.79

Step-by-step explanation:

On average, 3 percent of U.S. travelers do not show up for their flight. Suppose this probability is independent and constant across travelers. For a given flight from Seattle to San Francisco, an airline accepted a total of 103 reservations while the plane capacity is 100 seats. What is the probability that the airline will have to bump at least one passenger

Answers

Answer:

.3988 .

Step-by-step explanation:

We shall use Binomial distribution formula in the problem .

n = 103

The probability that a passenger will not miss the flight and show up = .97

The probability that a passenger will miss the flight = .03

n = 103 ,

probability of showing up  101 , 102 and 103 passengers so that at least 1 passenger will return or bump .

= 103C₁₀₁ .97¹⁰¹ .03² + 103C₁₀₂ .97¹⁰² .03+ 103C₁₀₃ .97¹⁰³

103 x 102 /2  .97¹⁰¹ .03² + 103  .97¹⁰² .03 + .97¹⁰³

= 5253 x .046 x .0009 + 103 x .00134 + .0434

= .2174 + .1380 + .0434

= .3988 .

The probability that the airline will have to bump at least one passenger is; 0.3988

Binomial probability distribution

Probability that the travelers did not show up for the flight is; q = 3% = 0.03

Probability that they will show up for the flight is; p = 97% = 0.97

The formula for binomial probability is;

P(X = r) = nCr × p^(r) × q^(n - r)

Thus, the probability that the airline will have to bump at least one passenger is;

(103C₁₀₁ × 0.97¹⁰¹ × 0.03²) + (103C₁₀₂ × 97¹⁰² × 0.03) + (103C₁₀₃ × 0.97¹⁰³ × 0.03⁰)

>> 0.2174 + 0.1380 + 0.0434

>> 0.3988

Read more on binomial probability at; https://brainly.com/question/15246027

Suppose potato chips cost 22.5 cents per ounce. What would a bag of chips cost if it contained 12 oz? Round your answer to the nearest cent, if necessary

Answers

Answer:

the anser is 22.10

Step-by-step explanation:

you have to round to the nearest ten. here is a tip 4 or down round down 5 or up round up now you are good to go! and also to find me if you need help

3x + y=5
6x -2y=10 Is it consistent/non consistent and need solution
once i see how to do one ill understand how to do others. thank you

Answers

Answer: These are non- consistent and can be solved. The signs of the y terms are the opposite.

Step-by-step explanation: If the signs are the same, and all the terms of one equation are multiples of the other, they are identies, with infinite solutions. We can solve this system by multiplying the first equation by 2, adding the equations to cancel the y terms, and solve for x.

2(3x+y=5) becomes

6x +2y= 10 Add it to the other equation

6x -2y= 10 We are left with

12x = 20 Solve for x

x = 5/3 Substitute for x and solve for y.

3(5/3) + y = 5

5 + y = 5. Subtract 5 from both sides.

y = 0

The solution to this system is (5/3 , 0)

What's the number come next 0,3,3,4,8,2,?​

Answers

sorry i don't know

sorry

sorry

A circular mirror has a diameter of 22 inches. Which measurement is closest to the area of the mirror in square inches

Answers

Answer:

379.94 square inches, or 379.94 in².

Step-by-step explanation:

The area of a circle is π r². The diameter of the circle is listed as 22 inches, and the radius, or "r", is equal to half of the diameter. So, half of 22 is 11.

Since the formula says r², 11 needs to be squared, or multiplied once by itself.  11 x 11 = 121, so the last part of the equation is to multiply 121 by π. Because pi is an irrational number that never ends, it is commonly accepted to use 3.14, or the first three digits of pi, as the value of pi in an equation.

With that, 121 x 3.14 = 379.94, giving a final answer of 379.94 in².

Let me know if I need to change or clarify anything. I hope this helps! :D

Answer:

19.6ft2

Step-by-step explanation:

Estimate the sum of 13 and 45

Answers

Answer:

58

Step-by-step explanation:

Answer:

58

Step-by-step explanation:

13 plus 45 is 58

you add them.

do you understand?

can someone help me please im struggling and can’t figure these 2 problems out :(

Answers

9514 1404 393

Answer:

  2.  G  10.72 units

  3.  B  3.6, 6, 4.8

Step-by-step explanation:

2. The Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the sides.

  14^2 = 9^2 + CB^2

  196 = 81 + CB^2 . . . . find the square values

  115 = CB^2 . . . . . . . . subtract 81

  √115 = CB ≈ 10.72 . . . . . matches G

__

3. You know that lengths 3, 4, 5 form a right triangle. This is a special triple for several reasons. One of them is that it is the smallest integer Pythagorean triple. Another is that it is the only Pythagorean triple that is an arithmetic sequence (has constant differences between lengths).

You can use this as a reference to look at the choices offered.

  A. The lengths 3.2, 4.1 and 5.0 have constant differences of 0.9. The shortest length is not 3 times this value, so this is not a right triangle.

  B. The lengths 3.6, 4.8, 6 have constant differences of 1.2. These numbers are 3, 4, and 5 times that difference, so these segments will form a right triangle.

  C, D. The longest length is an integer. The sums of the squares of the decimal values will not be integers, so these are not right triangles.

  4.5^2 +6.7^2 = 65.14  not 8^2

  5.2^2 +8.5^2 = 99.29  not 10^2

Ming works as a quality assurance analyst at a bottling factory. She wants to use a one-sample z interval to estimate what proportion of 500 ml bottles are underfilled. She wants the margin of error to be no more than 4% at 90% confidence. What is the smallest sample size required to obtain the desired margin of error?
a) 271
b) 423
c) 651
d) 888

Answers

Answer:

Sample size is [tex]n=423[/tex]

Step-by-step explanation:

Given that,

Margin of error [tex]=4[/tex]%

Confidence level [tex]=90[/tex]%

Suppose, sample proportion[tex]=0.5[/tex]

        i.e. [tex]\hat{P}=0.5[/tex]

We know that,

     Margin of error [tex]=2^*\sqrt{\frac{\hat{p}(1-\hat{p})}{n} }[/tex]

 ∴ [tex]1.64\sqrt{\frac{0.5(0.5)}{n} } \leq 4\%[/tex]

[tex]\Rightarrow 1.64\sqrt{\frac{0.25}{n} } \leq 0.04[/tex]

[tex]\Rightarrow \frac{0.5}{\sqrt{n} } \leq \frac{0.04}{1.64}[/tex]

[tex]\Rightarrow \frac{0.5}{\sqrt{n} } \leq 0.0243[/tex]

[tex]\Rightarrow \sqrt{n}\geq \frac{0.5}{0.0243}[/tex]

[tex]\Rightarrow \sqrt{n}\geq 20.57[/tex]

squaring on both side,

∴ [tex]n=423.1249[/tex]

Hence, the sample size is,

   [tex]n=423[/tex]

Hence, the correct option is [tex](b).[/tex]

       

Answer:

423

Step-by-step explanation:

You have 60 teaspoons of peppercorns. You need 0.25 teaspoons to make one serving of beef brisket. How many servings can you make?

Answers

Answer:

One Serving - 1/4 teaspoon

240 Serving - 60 teaspoon

plz mark as brainliest

Triangle PQR has vertices P(-2,8), 0(2,4), and R(4.6). Which best describes triangle PQR?
a right triangle with PQ QR
a right triangle with PQ PR
an isosceles triangle with PQ=QR
an isosceles triangle with PQ=PR​

Answers

Answer:an icosceles triangle with pq qr

Step-by-step explanation:

simplify the expression -3÷(-2/5)​

Answers

Answer:

7 1/2

Step-by-step explanation:

Because you have to keep, change, flip and it is positive because they both are negative

Can you mark me brainliest

JELPPPPP it’s due in 5 mins

Answers

The answer is 65

Step-by-step explanation:

all you had to do was divide

The answer is 65!!!!

Help plz:)))I’ll mark u Brainliest

Answers

Answer:

22-18-25,

19-24-30,

7-24-25

Step-by-step explanation:

In a triangle with side lengths [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex], any two sides must have a sum larger than the third.

Using this rule, the possible side lengths out of these choices that could form a triangle are:

22-18-25,

19-24-30,

7-24-25

How many more pound of granola than banana chips does she buy? Item: Pretzels:7/8,Peanuts: 4/8, Raisins: 2/8,Banana chips: 3/8,Granola: 5/8​

Answers

Answer:

She buys 2/8 more pound of granola than banana chips

Step-by-step explanation:

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