A and B are complementary angles. If mA=(x+8)° and mB =(8x+1),
find the measure of A

Answers

Answer 1

Answer:

[tex]\angle A=17\textdegree[/tex]

Step-by-step explanation:

We know that A and B are complementary angles. So, they must add up to 90°. As an equation:

[tex]\angle A+\angle B=90[/tex]

Since we know their equations, substitute:

[tex](x+8)+(8x+1)=90[/tex]

Solve for x. Combine like terms on the left:

[tex]9x+9=90[/tex]

Subtract 9 from both sides:

[tex]9x=81[/tex]

Divide both sides by 9:

[tex]x=9[/tex]

So, the value of x is 9.

We want to find A. So, let's use the equation for A:

[tex]\angle A=x+8[/tex]

Substitute 9 for x:

[tex]\angle A=9+8[/tex]

Add:

[tex]\angle A=17\textdegree[/tex]

So, the measure of A is 17°.


Related Questions

Monica ran 20 miles in two days. How many miles did she run each day, if she ran 4 more miles on the second day than on the first day?

On the first day she ran _____________ miles, and on the second day she ran _______ miles.

Answers

Answer:

6 miles on the first day and 14 miles on the second day

Step-by-step explanation:

Answer:

[tex]in \: day \: one \: she \: ran \: 8 \: mile s.\\ in \: day \: two \: she \: ran \: 12 \: miles.[/tex]

Step-by-step explanation:

[tex]let \: the \: number \: of \: miles \: for \: the \: first \: day \: be : x \\ let \: the \: number \: of \: miles \: for \: the \: second \: day \: be : x + 4 \\ therefore \: in \: two \: days \: she \: ran \: 20 \: miles = x + (x + 4) \\ now......thats \: the \: required \: equation....... \\ if \: x + (x + 4) = 20 \: then : \\ 2x + 4 = 20 \\ 2x = 20 - 4 \\ 2x = 16 \\ x = 8. \\ so \: in \: day \: one \: she \: ran \: 8 \: mile \\ in \: day \: two \: she \: ran \: (8 \: + 4) \: miles = 12 \: miles[/tex]

its so funny how you reacted to the other helper

♨Rage♨

15 points to help me graph this problem ( slope problem )

Answers

Answer:

When u said slope problom i thought u ment about the game  LOL

Step-by-step explanation:

Joe had a summer job that pays $7.00 an hour and he worked 15 and 35 hours every week. His weekly salary can be modeled by the equation: s = 7H, wear a is his weekly salary and h is the number of hours he worked in a week. Describe the domain and range for this problem using appropriate notation.

Answers

Correct question is;

Joe had a summer job that pays $7.00 an hour and he worked between 15 and 35 hours every week. His weekly salary can be modeled by the equation: S = 7h, where S is his weekly salary and h is the number of hours he worked in a week.

What is the reasonable Domain and Range?

Answer:

Domain is: 15 ≤ x ≤ 35

Range is: 105 ≤ x ≤ 245

Step-by-step explanation:

We are told that Joe works between 15 and 35 hours every week.

This means that he works at least 15 hours or at most 35 hours a week.

Thus, domain is; 15 ≤ x ≤ 35

We are told that his weekly salary can be modeled by the equation: s = 7H

Where s is salary and H is number of hours worked per day.

Thus;

Lower range is; s = 7 × 15 = $105

While higher range is; s = 7 × 35 = $245

Thus, range is 105 ≤ x ≤ 245

What is
h(-3) given
h(x) = -12 – xl?

Answers

Answer:

= -6

Step-by-step explanation:

sngdmmgngngngngngngngngngngnfbfbfbfbfbfbf

assuming u added a “l” in there here it is:
Since h(-3) u have to replace x with -3
h(x)=-12-(-3)
negative multiply negative is positive so
h(x)=-12+3
h(x)=-9 <= answer

A polynomial function with a leading coefficient of 1 and multiplicity 1 for each root has these zeros:

-2√11

4
Which are factors of the polynomial? Check all that apply.

Answers

Answer:

1.

[tex]x - 2 \sqrt{11} [/tex]

2.

[tex]x + 2 \sqrt{11} [/tex]

5.

[tex]x - 4[/tex]

Step-by-step explanation:

It is correct on Edge!

Give thanks please!

Answer:

3

Step-by-step explanation:

edge 2022


Find the y-intercept of the line which passes through (-2,-2) and (2,-4).

Answers

Answer:-4,2

Step-by-step explanation:

Help Simplify 6(x + 4).

Answers

Answer:

6x+24

Step-by-step explanation:

The simplified form of the expression 6(x + 4) is 6x + 24.

We have,

To simplify the expression 6(x + 4), we can apply the distributive property of multiplication over addition.

The distributive property states that when we have a number multiplied by a sum of terms, we can distribute the multiplication to each term separately and then simplify.

In this case, we have 6 multiplied by the sum (x + 4). Applying the distributive property, we can multiply 6 by both x and 4:

6(x + 4) = 6 * x + 6 * 4

Simplifying further:

6x + 24

Therefore,

The simplified form of the expression 6(x + 4) is 6x + 24.

Learn more about expressions here:

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Zach can read 7 pages of a book in 5 minutes. At this rate, how long will it take him to read the entire
175 page book?

Answers

Answer: 245 minutes (or 4 hours and 5 minutes)

to solve, divide 7 by 5 to get how many pages he can read in one minute. You should get 1.4. Then, multiply 1.4 by 175 to get the answer in minutes.

Susan is training for a marathon. In the marathon the distance required to run is 5.2 miles. Susan is currently running 4.8 miles in 22 minutes. She does not want her total run time to exceed 22 minutes. How much further does she need to run in the 22 minutes to complete the marathon and reach her goal?

Answers

Answer:

0.4miles.

Step-by-step explanation:

The total distance to run for the marathon = 5.2 miles

Susan is currently running 4.8 miles in 22 minutes.

How much further does she need to run in the 22 minutes to complete the marathon and reach her goal?

= 5.2 - 4.8

= 0.4 miles.

Hello! I have no idea why im writing this, but whoever sees this and is reading this please know that i have no idea who u are but just keep in mind that i hope you have a happy year filled with joy and happiness!!!!!! If ur feeling down please make sure to ask ur friends to cheer u up !! I dont want u to feel sad :(. Anyways, have a good day. My Question is, How has ur day been today? What did u do today that u wanted to do? What did u do that u didnt want to do? Well GOODBYE!

Answers

Answer:

Step-by-step explanation:

The day is beautiful, encountered traffic at some point while going out but eventually came out of it after some minutes. It was caused by some hoodlums trying to collect money from drivers.

Research

I took out time to search out some vital information, compiled it to make a single thought that is useful to explain the research topic

I did was what I intend doing today nothing was done out of place.

Answer:

Hi! Thanks so for taking the time to write this beautiful message! So my day was great! But I have a project due at 11:59 that I don’t want to do but other than that it was great!! I am doing okay, how about you? Today I went to school (online) and it was fun since it was Friday I got to play kahoot and I had dance (as a strand) do that was fun as well. Anyways enough about me how are you and how was your day?! Hope you have a great day, bye! :D

Step-by-step explanation:

positive vibes

hehe :))

I need help plz and this is due today

Answers

Answer: 1

Step-by-step explanation:

Brainliest goes to the first CORRECT answer Thanks

Answers

Answer:

Step-by-step explanation:

This is a proportion question. You can take either of the other sides besides N to calculate the ratio. You need to use corresponding sides.

Here is the proportion

N/5 = 18/8

Multiply both sides by 5

N = 5 * 18/8

N = 90/8

N = 11.25

one more than three times a number is the same as twice the same number increased by 5. what is the number?

Answers

Answer:

3x+1=2x+5

Sometimes I might be wrong.

<3, Red

Answer:

4

Step-by-step explanation:

3x+1=2x+5

3x-2x=5-1

x=4

The correct answers are C and D, please explain why!!!

Answers

Answer:

To find the volume of a cone you must first find the radius of the circle. When you write the radius of the circle in the formula for the volume of a cone it is always the top part of the fraction.  Hope This Helps Mate!! Have A Wonderful Day!!

Write the sentence as an inequality.
The sum of a number y and 9 is at least -1.

Answers

y +9 >= -1

Sum of a number(y) and 9. Is greater than or equal to negative one. Sum means add, so add y, and 9. It has to be atleast negative one, so greater than (0,1,2,3...), or equal to(-1).

Hope this helps, if you have more questions, feel free to ask.

The sum of a number y and 9 is at least -1 as an inequality is y + 9 ≥ 1.

What is an inequality?

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.

Given:

An expression,

The sum of a number y and 9 is at least -1.

To find the number in the numerator form,

The sum of y and 9,

y + 9

And the value is at least -1.

So,

y + 9 ≥ 1

Therefore, the inequality is y + 9 ≥ 1

To learn more about the inequality;

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8-(x+2) = 6(x-4) what is the answer is 6 or something else

Answers

Answer:

x=30/7 or decimal x=4.28571

Step-by-step explanation:

find solution and show work for (3.4^17)^4

Answers

Answer:  3.4^68

Work Shown:

(3.4^17)^4

3.4^(17*4)

3.4^68

The general rule is (a^b)^c = a^(b*c)

Simplify the expression 5(3x - 7 + 4y)

Answers

Answer:

15x - 35 + 20y

Step-by-step explanation:

Simplify. Distribute 5 to all terms within the parenthesis:

5(3x - 7 + 4y) =

5 * 3x = 15x

5 * -7 = -35

5 * 4y = 20y

15x - 35 + 20y is your answer.

~

The answer is 23567008654 and 2345789

Janet bought same bars of choclate to share equally with her friends. she bought between 35 and 50 bars altogether. if she shares the bars of chocolate equally with 7 friends, she will have 7 bars left over. If she shares the bars equally with 6 friends she will have 5 bars left over. How many bars of chocolate did she buy?
a.47
b.45
c.46
d.48

Answers

Its letter d.48 hope i helped you , but im not sure..

For the conditions to be fulfilled number of chocolate bars Janet bought is 35.

What is an equation?

An equation is a statement in form of numbers and variables that both sides are equal.

Janet bought the same bars of chocolate to share equally with her friends and it is between 36 and 50.

There are two possible cases,

Let the number of chocolates be 'N' and no. of chocolates each friend gets be 'A'.

(i)  If she shares the bars of chocolate equally with 7 friends, she will have 7 bars left over,

∴ N = 7A + 7...(i).

(ii) If she shares the bars equally with 6 friends she will have 5 bars left over,

Let the number of chocolates be 'N' and no. of chocolates each friend gets be 'B'.

∴ N = 6B + 5...(ii)

Now, we have to equate these two equations,

7A + 7 = 6B + 5.

7A = 6B - 2.

A = (6B - 2)/7.

From here we have to find such integer value of B which also makes the value of A an integer and also when we put the values of either A or B in our equations it should lie between 35 and 50.

So,

A = (6B - 2)/7.

When B = 5 then A = 4. Or when B = 12 the A = 10.

But the B = 12 and A = 10 is inadmissible.

Now, we'll put the value of A or B in eqn (i) or (ii).

Which results in N = 35.

So, the number of chocolate bars she bought is 35.

learn more about equations here :

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A movie ticket costs $9.A concert ticket costs $45. Which equation can be used to find how many times as much the concert ticket costs than a movie ticket?

Answers

Answer:

45/9=5 times

Step-by-step explanation:

Answer:

its 45 times 9=

Hope this helps!!

A cat can run 30 mph at this rate how many minutes would it take a cat to run 1.5 miles

Answers

The cat runs 30 miles in one hour so:

(1.5 / 30) = 0.05 hours or 3 minutes

Answer:

Use a proportion::

time/dist = time/distance

t/1.5 = 1/30

t = 1.5/30

t = 15/300

t = 1/20 = 5/100 = 0.05

So A-0.05 is the final answer

Step-by-step explanation:

ik this was 3 yrs ago

ANSWER ASAP!!!!! Evaluate ƒ(x) = |3x – 2| for ƒ(–5) and ƒ(7). Question 7 options: A) ƒ(–5) = 8, ƒ(7) = 7 B) ƒ(–5) = 12, ƒ(7) = –2 C) ƒ(–5) = –17, ƒ(7) = 9 D) ƒ(–5) = 17, ƒ(7) = 19

Answers

Answers:

f(-5) = 17f(7) = 19

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

Work Shown:

Plug in x = -5. Use PEMDAS to simplify

f(x) = |3x-2|

f(-5) = |3(-5)-2| ... replace every x with -5

f(-5) = |-15-2|

f(-5) = |-17|

f(-5) = 17

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

Repeat for x = 7

f(x) = |3x-2|

f(7) = |3*7-2| ... replace every x with 7

f(7) = |21-2|

f(7) = |19|

f(7) = 19

What is the solution of the following system
8x + 14y = 4
-6x - 7y = -10

a) (4,-4)
b (4,-2)
c (2,5)
d (6,-4)

Answers

Step-by-step explanation:

8x + 14y = 4 ...1

-6x - 7y = -10 ...2

...2 × 2 in 2 sides of the equation

-12x -14y = -20 ...3

...1 + ...3

8x + 14y +(-12x -14y) = 4 +(-20)

8x + 14y - 12x -14y = 4 - 20

-4x = -16

x = (-16)/(-4)

= 4

replace x in ...1 or ...2 you will reserve y value

and answer in the term of (x,y)

5 stars if correct!! HELP FAST PLEASE!!!

Answers

Answer:

1 banana = 0.25

Step-by-step explanation:

Find the proportion. Simply divide the cost from the amount of bananas given:

0.50/2  = 0.25

1.00/4 = 0.25

1.50/6 = 0.25

$0.25 is the cost per banana, and is your proportion.

~

Answer:

1 banana = + $0.25

2 bananas = + $0.50

Step-by-step explanation:

If it is increasing %0.50 for every 2 bananas then that also means it's increasing $0.25 for every 1 banana.

calculate the slope of the line passing through each pair of points below.

b.(7,3) and (5,4)
c.(-6,8) and (-8,5)
d.(55,67) and (50,68)

Answers

Answer:

b. -1/2

c. 3/2

d. 1/-5

Step-by-step explanation:

Plug in the values into the slope formula and reduce/simplify

Serena's book collection contains 23 fiction books and 4 non-fiction books part to part or part to whole ratio

Answers

Step-by-step explanation:

that's a part to part ratio


Find AB if A(-1,7) and B (11, -1). Round your answer to the nearest tenth.

Answers

Answer:

The answer is 14.4 units

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\[/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

A(-1,7) and B (11, -1)

The distance between them is

[tex] |AB| = \sqrt{( { - 1 - 11})^{2} + ( {7 + 1})^{2} } \\ = \sqrt{ ({ - 12})^{2} + {8}^{2} } \\ = \sqrt{144 + 64} \: \: \: \: \: \: \: \\ = \sqrt{208} \\ = 4\sqrt{13} \\ =14.42220510...[/tex]

We have the final answer as

14.4 units to the nearest tenth

Hope this helps you

write 843 in scientific notation.​

Answers

a x 10b

Follow the steps below to see how 843 is written in scientific notation.

Step 1

To find a, take the number and move a decimal place to the right one position.

Original Number: 843New Number: 8.43Step 2

Now, to find b, count how many places to the right of the decimal.

New Number:8.43Decimal Count:12

There are 2 places to the right of the decimal place.

Step 3

Building upon what we know above, we can now reconstruct the number into scientific notation.

Remember, the notation is: a x 10b

a = 8.43

b = 2

Now the whole thing:

8.43 x 102

Step 4

Check your work:

102 = 100 x 8.43 = 843

More Scientific Notation Examples

8418428448458.41 x 1028.42 x 1028.44 x 1028.45 x 102

Someone plz help me I’ll give branliest!!

Answers

Answer:  B) -2

The vertex of the parabola shown is (4, -2)

In general, the vertex is (h,k)

So (h,k) = (4,-2) meaning h = 4 and k = -2

The equation of this parabola is y = (x-4)^2 - 2

Answer:

-2 is the correct option you're looking for.

Triangle DEF is formed by connecting the midpoints of the sides of triangle ABC. The lengths of the sides of DEF are shown. What is the length of BC?​

Answers

Answer:

may be it's helpful✌️..........

Applying the triangle midsegment theorem, the length of BC is: 8.

The Triangle Midsegment Theorem?Based on the triangle midsegment theorem, there are three midsegments in every triangle.The midsegments are parallel to each of their corresponding third sides.Length of midsegment = half of the length of the third side.

Given:

DF = 4 (midsegment)

BC = ? (Third side).

Therefore,

BC = 2(DF)

BC = 2(4)

BC = 8

Therefore, applying the triangle midsegment theorem, the length of BC is: 8.

Learn more about the triangle midsegment theorem on:

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