∠A and ∠B are complementary angles. The measure of ∠A is twice the measure of ∠B. Write and equation to represent the complementary angle relationship between ∠A and ∠B. Use the equation to find the measure of ∠A and ∠B. Show all of your work

Answers

Answer 1

Answer:

[tex]\text{Equation: }2\angle B+\angle B=90\\\angle A=60^{\circ},\\\angle B=30^{\circ}[/tex]

Step-by-step explanation:

Complimentary angles are angles that add up to 90 degrees. Therefore, we can write the following system of equations:

[tex]\begin{cases}\angle A=2\angle B,\\\angle A+\angle B=90\end{cases}[/tex]

Solving, we obtain the equation:

[tex]2\angle B+\angle B=90,\\3\angle B=90,\\\angle B=\boxed{30^{\circ}}[/tex]

Plugging this back in to our first equation, we get:

[tex]\angle A=2(30)=\boxed{60^{\circ}}[/tex]

Answer 2

Answer:

∠A = 60

∠B = 30

Complementary angles are angles that add up to 90 degrees, and the measure of ∠A is twice as much as ∠B

60 + 30 = 90

60 / 30 = 2

60 / 2 = 30

Step-by-step explanation:

The other answer is still correct, just thought I'd make it simpler.

Hope this helps!


Related Questions

Number 26 (PlSss Help I really need help on this) I’ll give 15 points!!!!!!

Answers

[tex]\mathcal\pink{The \: answer \: is }[/tex]

only one window has height that is a whole number of centimeters

[tex]\mathcal{HOPE \: IT \: HELPS}[/tex]

[tex]\huge\pink{mark \: as \: brainliest}[/tex]

A hat contains 3 blue and 5 black tickets.

​If one ticket is chosen at random from the hat, what is the probability that it is blue?

I WILL GIVE BRAINLIST ANSWER

Answers

Answer:

the answer is 3/8

Step-by-step explanation:

Write an inequality for the graph below.

Answers

the answer is B. 1/2 > m

find the mean and median of these data: 2, 7, 13, 15, 17, 19

Pls Pls answer and HURRY​

Answers

Answer:

Mean: 12.166

Median: 14

Step-by-step explanation:

Answer:

mean: 73 ÷ 6 (amount of numbers in the list) = 12.166

median (middle number): 14

Step-by-step explanation:

to find the mean (average) you add all the numbers in the list and divide by the numbers there are (6 in the above problem)

2+7+13+15+17+18 = 73÷6 = 12.16

i will give Brainiest if you are right

Answers

Answer:

B. 4x ≤ 320

Step-by-step explanation:

Not sure how to explain my thinking. However, 4x must be smaller than 320 because she cannot spend more than that.

Answer:

Step-by-step explanation:

b

divide then write in simplest form 5 divided by 5/6, 3 divided by 5/6, 10 dived 5/6 4 divided 5/9, 6 divided by 2/3

Answers

Answer:

Step-by-step explanation:

y= -1/4x

What is the coefficient in the following expression?
5a– 7

Answers

5 is the Coefficient
the coefficient is 5

a trapezoid has an area of 15 square feet. if the bases are 4 feet and 6feet, what is the height of the trapezoid?

Answers

The height is 1.25...

9514 1404 393

Answer:

  3 ft

Step-by-step explanation:

The formula for the area of a trapezoid is ...

  A = 1/2(b1 +b2)h

Filling in the given information, we can solve for h.

  15 ft² = 1/2(4 ft +6 ft)h

  15 ft² = (5 ft)h

  h = (15 ft²)/(5 ft) = 3 ft

The height of the trapezoid is 3 feet.

Your friend has two standard decks of 52 playing cards and asks you to randomly draw one card from each deck. What is the probability that you will draw two spades?

Answers

Answer:

If you have 2 decks of 52, it would be 1/52 chance per card, so since there are two, add it up, its 2/104

Step-by-step explanation:

Answer:

1/16

Step-by-step explanation:

:))

select the three fractions that are less than 1/2

Answers

Answer:

A,D,F are less then 1/2

Step-by-step explanation:

Answer:

1/8

1/16

1/6

Step-by-step explanation:

1. 1/2 = 0.5              2. 1/2 = 0.5

  1/6 = 0.167               1/8 = 0.125

PLZ ANSWER NEED IT ASAP

Answers

Answer:

80 square units

Step-by-step explanation:

beep

In how many ways can a committee of 8 sit in a row if the chairman occupies the middle seat?? ​

Answers

They can all sit beside the chairman

#10
Corinne has 95 coins in her piggy bank. There are only quarters and dimes. If the total value is
$15.05, how many quarters does she have?

Answers

Answer:

93 becouse you add 75 plus 2x10 is 20 so 75 plus is 105 so 14.75 plus .20 is 15.05

Step-by-step explanation:

A city doubles its population in 20 years. If it is growing exponentially, when will it triple its population?​

Answers

Answer:

After 30 years

Step-by-step explanation:

population×2=20 years

population×2×1.5=20×1.5 years

population×3=30 years

Help please click the picture sorry the outside is black

Answers

Answer:

D

Step-by-step explanation:

Tust me Plz

Answer:

D

Step-by-step explanation:

5+6 then multiply by 3

(5+6) x 3 or 3 x (5+6)

How much INTEREST would you earn investing $5000 that earns 7% simple annual interest for 3 years?

Answers

Answer:

$1,125.26

Step-by-step explanation:

Start of Year 1 5000.00

Start of Year 2 5350.00

Start of Year 3 5724.50

Start of Year 4 6125.26

A) Find the average value of the function over the given interval. (Round your answer to four decimal places.)
f(x) = 16 - x^2 , [-4, 4]
Answer: ???

B) Find all values of x in the interval for which the function equals its average value. (Enter your answers as a comma-separated list. Round your answers to four decimal places.)
Answer: x = ???

Answers

Answer:

(a) The average rate of change is 0

(b) The values of x are: [tex]x =4\ or\ x = -4[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 16 - x^2; [-4,4][/tex]

Solving (a): The average rate of change (m)

This is calculated using:

[tex]m = \frac{f(b) - f(a)}{b - a}[/tex]

Where

[tex][a,b] = [-4,4][/tex]

So:

[tex]m = \frac{f(4) - f(-4)}{4 - -4}[/tex]

[tex]m = \frac{f(4) - f(-4)}{8}[/tex]

Solve f(4) and f(-4)

[tex]f(4) = 16 - (4^2) = 16 - 16 = 0[/tex]

[tex]f(-4) = 16 - (-4^2) = 16 - 16 = 0[/tex]

So:

[tex]m = \frac{f(4) - f(-4)}{8}[/tex]

[tex]m = \frac{0 - 0}{8}[/tex]

[tex]m = \frac{0}{8}[/tex]

[tex]m = 0[/tex]

Solving (b): All values of x where [tex]f(x) = m[/tex]

In (a), we have:

[tex]m = 0[/tex]

So:

[tex]f(x) = 0[/tex]

So, we have:

[tex]f(x) = 16 - x^2[/tex]

[tex]16 - x^2=0[/tex]

Express 16 as [tex]4^2[/tex]

[tex]4^2 - x^2=0[/tex]

Apply difference of two squares

[tex](4 - x)(4 + x) = 0[/tex]

Split

[tex]4 - x =0; 4 + x = 0[/tex]

Solve for x

[tex]x =4\ or\ x = -4[/tex]

We will find that the average of the function over the given interval is 0, and the two values of x such that the function is equal to the average are x = -4 and x = 4.

How to find the average of a function over an interval?

To find the average of a function f(x) over an interval [a, b] we need to compute:

[tex]\frac{f(b) - f(a)}{b -a}[/tex]

In this case we have:

f(x) = 16 - x^2

And the interval is:

[-4, 4]

We will get:

[tex]\frac{(16 - (4)^2) - (16 - (-4))^2}{4 - (-4)} = \frac{0}{8} = 0[/tex]

So the function has an average of 0 over that interval.

B) Here we just need to solve:

f(x) = 16 - x^2 = 0

We will get:

16 - x^2 = 0

16 = x^2

±√16 = x

±4 = x

So the solutions are x = 4 and x = -4.

If you want to learn more about averages of functions, you can read:

https://brainly.com/question/16033358

Find the midpoint of the line segment with endpoints (3,-5) and (7.9).​

Answers

Answer:

x midpoint 5

y midpoint 2

(5,2)

What number is halfway between 0.36 and 0.48 on a number line?

Answers

Answer:

0.42

Step-by-step explanation:

they are both multiples of 0.06

think of it like 6 x 6= 36 and 6 x 8 = 48

6 x 7 = 42 would be halfway

Answer:

0.42

Step-by-step explanation:

To find the half, add da numbers and divide by 2. So 0.36 and 0.48 added together is 0.84. That divided by 2 is 0.42.

A random sample of 340 electronic components manufactured by a certain process are tested, and 30 are found to be defective. A device will be manufactured in which two of the components will be connected in series. The components function independently, and the device will function only if both components function. Let q be the probability that a device functions. Find a 95% confidence interval for q. Round the answers to three decimal places. The 95% confidence interval for q is (

Answers

Answer:

95% of the confidence interval for q is

(0.05809 , 0.1183)

Step-by-step explanation:

Step:1

Given that the random sample of 340 electronic components manufactured by a certain process is tested, and 30 are found to be defective.

sample proportion

                   [tex]q^{-} = \frac{x}{n} = \frac{30}{340} = 0.0882[/tex]

Step:2

95% of the confidence interval is determined by

[tex](q - Z_{0.05} \sqrt{\frac{pq}{n} } , q + Z_{0.05} \sqrt{\frac{pq}{n} } )[/tex]

[tex]((0.0804 -1.96 \sqrt{\frac{0.0804 X0.9118}{340} } ,0.0804 +1.96 \sqrt{\frac{0.0804 X0.9118}{340})[/tex]

[tex]( 0.0882- 1.96 \sqrt{0.000236} , 0.0882 + 1.96 \sqrt{0.000236} )[/tex]

(0.0882 - 0.03011 , 0.0882+0.03011)

(  0.05809 , 0.1183)

Final answer:-

95% of the confidence interval for q is

(0.05809 , 0.1183)

5c+4c+2 and 5c+2(2c+1)

Answers

Answer:

11 c12 cyfiddiddjkssjksajusaahogsyi of

What is the rate of change of the function y
- 2 x – 52

Answers

Answer:

The rate of change is -2

Step-by-step explanation:

Given

[tex]y = -2x - 52[/tex]

Required

The rate of change

The slope intercept of a fuction is:

[tex]y =mx + b[/tex]

Where

[tex]m \to[/tex] rate of change

So, by comparison; [tex]y = -2x - 52[/tex] and [tex]y =mx + b[/tex]

[tex]m = -2[/tex]

Use the distributive property to match equivalent expressions.
74-4 - x)
28 - 7x
-28 - 7x
-7(4-x)
28 + 7x
7(4 + x)
-28 + 7x
-7(4+x)

Answers

Answer:

7(-4 - x) = -28 - 7x

-7(4 - x) = -28 + 7x

7(4 + x) = 28 + 7x

-7(-4 + x) = 28 - 7x

Step-by-step explanation:

To apply the distributive property, use the term outside the bracket to multiply each of the term you have inside the bracket.

Thus:

✔️7(-4 - x) = 7(-4) +7(-x)

= -28 - 7x

✔️-7(4 - x) = -7(4) -7(-x)

= -28 + 7x

✔️7(4 + x) = 7(4) + 7(+x)

28 + 7x

✔️-7(-4 + x) = -7(-4) -7(+x)

= 28 - 7x

How do I answer this? I'm so confused

Answers

Answer:

Draw a graph of f(x) and q(x) also find x-intercept and y

Expresa el siguiente número 14322000000000000 en notación científicaOpción única.
(1 Punto)

1.4322 1014


1.4322 1015


1.4322 1016


14.322 1014

Answers

Answer:

14322 * 10¹²

1.4322 * 10¹⁶

Step-by-step explanation:

14322000000000000

14322 * 10¹²

1.4322 * 10¹⁶

sundip and emma have some money
the ratio of sundips money to emmas money is 3:5
emma spends £450 of her money
the ratio of sundips money to emmas money is now 2:3

found how much money sundip has

Answers

Answer:

Step-by-step explanation:

Can you please answer the Sundip Ratio question?

£180.00

The amount of money Sundip have  £ 2700.

What is Ratio?

A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.

Given:

ratio of sundips money : emmas money = 3:5

emma spends £450

ratio of sundips money : emmas money = 2:3

So, Sundip have money = 3x and Emma have money = 5x.

Now, Emma spends £450.

then she is left = (5x-450).

Now, the ratio of Sundip's money to Emma's money is given as 2:3 = 2/3.

2/3 = 3x/(5x-450).

2(5x-450) = 3*3x

10x - 900 = 9x

x = 900.

Thus, Sundip have 3x = 3 x 900 = 2700.

Learn more about Ratio here:

brainly.com/question/2784798

#SPJ2

PLEASE HELP ME ASAPPPPP!!!!!!!!

Answers

Answer:

4 Zebras

Step-by-step explanation:

I can only see that she have 5 elephants, possibly more, however it's cut off. If that's true. Then:

If she has 5 elephants (which is currently what she has the most of) and 2 zebras. She needs 4 more zebras. Then she will have 6 zebras. More then any other animal.

Answer:

assuming the elephant has the most dots, as i cant see the full picture, then she needs to collect 4 more because she has 2 already.

Step-by-step explanation:

The elephant has 5 dots

the zebra has 2 dots

4+2=6

1.
What is the equation of a circle with center (-5, 8) and radius 9?

Answers

Answer:

Your equation is:

(x−5)2+(y+8)2=92

Expanding from general form you can write this as:

x2−10x+y2+14y+−8=0

Step-by-step explanation:

i think its correct ig don't know sry but i tried hope it helps you ✨

Answer:

[tex](x+5)^2+(y-8)^2=81[/tex]

Step-by-step explanation:

General equation of a circle is [tex](x-a)^2+(y-b)^2=r^2[/tex].

Center coordinates = (-5, 8)

a = -5           b = 8          r = 9

[tex]\\(x+5)^2+(y-8)^2=9^2[/tex]

[tex](x+5)^2+(y-8)^2=81[/tex]

Please do mark as brainliest. Hope this helps! :)

Which of the following situations could be described by the equation y = 120 - 25x?

Answers

Answer:

Is there any other information?

Step-by-step explanation:

Use the quadratic formula to solve -125x^2+30000x-153000

Answers

(-b±√(b²-4ac))/(2a)

Answer:

x=120±6434−−−√

x=−4.996

x=244.996

Find the Solution for

−125x2+30000x+153000=0

using the Quadratic Formula where

a = -125, b = 30000, and c = 153000

x=−b±b2−4ac−−−−−−−√2a

x=−30000±300002−4(−125)(153000)−−−−−−−−−−−−−−−−−−−−−√2(−125)

x=−30000±900000000−−76500000−−−−−−−−−−−−−−−−−−−√−250

x=−30000±976500000−−−−−−−−√−250

The discriminant b2−4ac>0

so, there are two real roots.

Simplify the Radical:

x=−30000±1500434−−−√−250

x=−30000−250±1500434−−−√−250

Simplify fractions and/or signs:

x=120±6434−−−√

which becomes

x=−4.996

x=244.996

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