5) It is known that ∠BAM and ∠CTX are complementary. If m∠BAM = x + 2 4 and m∠CTX = x + 11, then

solve for the value of x algebraically.

Answers

Answer 1

Answer:

x = [tex]27.5^{o}[/tex]

Step-by-step explanation:

complementary angles are two or more angles whose sum is equal to [tex]90^{o}[/tex].

Thus given that;

m<BAM = x + 24

m<CTX = x + 11

So that,

m<BAM + m<CTX = 90

⇒ (x + 24) + (x + 11) = 90

x + 24 + x + 11 = 90

2x + 35 = 90

2x = 90 - 35

2x = 55

x = [tex]\frac{55}{2}[/tex]

 = 27.5

The value of x is [tex]27.5^{o}[/tex].

So that,

m<BAM = x + 24

             = 27.5 +24

             = [tex]51.5^{o}[/tex]

m<CTX = x + 11

            = 27.5 + 11

           = [tex]38.5^{o}[/tex]

Answer 2

Answer:

x = 25

Step-by-step explanation:

combine like terms ans then solve for x


Related Questions

What season is it in the northern hemisphere?
A) spring
B) fall
C) summer
D) winter

Answers

Answer:

In the Northern Hemisphere right now it is Fall.

A math tutor decides to increase his wage by 11%. What expression shows his new wage after the 11%

Answers

Answer:

1.11w

Step-by-step explanation:

Let initial wage = w

Percentage increase in wage = 11%

Using the relation :

New Amount = initial * (1 + % increase)

New Amount = w * (1 + 0.11)

New amount = w * (1.11)

New amount = 1.11w

what is 4.25% as a decimal ​

Answers

Answer:

0.0425

Step-by-step explanation:

Answer:

0.0425

Step-by-step explanation:

hope this helped ^^

Restaurant etiquette dictates that you should leave a 15% tip for the server if the service is acceptable. If that is the case, how much should you tip if your total is $32.00?

Answers

32 times .15 is 4.8.
$4.80 is the tip and the total would be $36.80.

What is the converse of the following statement?
If M is the midpoint of
then
PM
OM
is congruent to
PO
If M is the midpoint of
, then PM is congruent to
Ом
o
If M is not the midpoint of PC, then PM is not congruent to
OM
IF PM is not congruent to
OM
then M is not the midpoint of Po
IF PM is congruent to OM, then Mis the midpoint of Fo.

Answers

Answer:

OM is congruent to PO, if M is the midpoint of PM

Step-by-step explanation:

a  Converse means If q , then p .

In this case ''M is the midpoint of then PM'' that would be P

Q would be '' OM is congruent to PO'' .

   Reverse the statements.

   

A t-shirt increased in price by
1

4
. After the increase it was priced at £20. What was the original price of the t-shirt? I will mark you the brainliest!

Answers

Answer:

5

Step-by-step explanation:

20×1/4=20/4=5

1/4×20/4=20/4=5

A quadrilateral has congruent side lengths. 2 opposite angles have measures of 100 degrees. The other 2 opposite angles have measures of 70 degrees and (5 x) degrees.
What is the value of x?

14
15
16
17

Answers

Answer:

14

Step-by-step explanation:

fjgejrguiy4fvjbbyeuakg2y5765n  

Elmer walked 5.4 miles every day. How far did he walk in 11 days?

Answers

Answer:

59.4

Step-by-step explanation:

Answer:

He walked 59.4 miles in 11 days

Step-by-step explanation:

You take the number of miles he walked in one day,  (5.4), then multiply it by the number of days he walked (11), so the answer is 59.4

Find the equation of the line with slope =10 and passing through (-6,7). Write your equation in point slope form AND slope intercept forms.

Answers

Answer:

The equation of the line in the slope-point form is y - 7 = 10(x + 6)

The equation of the line in the slope-intercept form is y = 10x + 67

Step-by-step explanation:

The slope-point form of the linear equation is y - y1 = m(x - x1), where

m is the slope(x1, y1) are the point lies on the line

The slope-intercept form of the linear equation is y = m x + b, where

m is the slopeb is the y-intercept

∵ The slope of the line is 10

m = 10

∵ The line passes through the point (-6, 7)

x1 = -6 and y = 7

→ Substitute them in the slope-point form above

∵ y - 7 = 10(x - -6)

∵ (-)(-) = (+)

y - 7 = 10(x + 6)

The equation of the line in the slope-point form is y - 7 = 10(x + 6)

→ Substitute m in the slope-intercept form

y = 10x + b

→ To find b substitute x by -6 and y by 7 in the equation

∵ 7 = 10(-6) + b

∴ 7 = -60 + b

→ Add 60 to both sides to find b

67 = b

→ Substitute the value of b in the equation

y = 10x + 67

The equation of the line in the slope-intercept form is y = 10x + 67

What single percentage change is equivalent to a 17% decrease followed by a 12% increase​

Answers

Answer:

7.04% decrease

Step-by-step explanation:

Lets use 5 example

5*0.17=0.85

5-0.85=4.15

4.15*0.12=0.498

4.15+0.498=4.648

7.04% of 5 is 4.648

Calcula y:
14x - 5y = 60
8x - 2y = 36

Seleccione una:
A. 2
B. 6
C. 10
D. 5
E. 8

Answers

Answer:

Step-by-step explanation:

-28x + 10y = -120

 40x + 10y = 180

12x = 60

x = 5: D is the answer

8(5) - 2y = 36

40 - 2y = 36

-2y = -4

y = 2: A is the other answer

Hey everyone I need help!! Is my answer right? If not please say what is the right answer and explain! I will mark you brainlist after but yea have a great day everyone!!!!!!

Answers

Answer:

it would be 2 pieces and 1/3

what is the slope of the line that passes through the points
(5,1) and (2,-7)
A.) 3/8
B.) -8/3
C.) 8/3
D.) -3/8

Answers

Slope is the change in y over the change in x:

Slope = (-7 - 1) / (2 - 5)

Slope = -8/-3

Slope = 8/3

(y2-y1)/(x2-x1)
(-7-1)/(2-5) = -8/-3
It would be C. 8/3

Discuss the difference between fixed expenses and variable expenses as they relate to a budget

Answers

Answer:

Fixed expences are expences that don't change month-to-month, whereas variable expences are things that are needing to budgeted for every month, but may vary a bit and are therefor usually estimated on a budget.

Step-by-step explanation:

For example, rent would be a fixed expense because you know it will be X amount due on the same day every month.  Food, on the other hand, would be a variable expense because it likely won't be the same amount month-to-month.

Answer:

Fixed expenses are expenses that stay the same for a person or a business. An example of a fixed expense is rent/mortgage. This expense doesn't change if you are only using the building for 2 weeks or the entire month, it's a set rate. A variable expense is an expense that changes like an electric bill, it varies based on the month and usage. When you budget, you can easily budget for your fixed expenses but you need to allow some room in your budget for expenses that change.

Chris is taking out a loan for $2500 with a simple interest rate of 7% for 36 months. How much interest will he have to pay at the end of the loan period? *

Answers

Chris will have to pay back $2,675. you do 2500x7%=175+2500

James asks 60 pupils which drink they liked best from cola milk and water 32 boys were in the survey 12 of the boys said they liked cola the best 4 boys and 9 girls liked water the best 21 pupils said they liked milk altogether How may students altogether liked cola the best

Answers

Answer:

Students altogether liked cola the best 26

Step-by-step explanation:

Total no of pupils = 60

Boys = 32

girls = 28

we will make a table

Gender         cola             milk               water       total

Boys             12                                         4              32

Girls                                                          9                28

we can find the missing numbers

Let x be for milk

In boys  12 + x + 4 = 32

                 x  = 16

In girls

          as 21 liked milk altogether

so girls = 21 - 16 = 5

Gender         cola             milk               water       total

Boys             12                 16                      4              32

Girls                                   5                      9                28

For cola let y

in girls

y + 5 + 9 = 28

y = 14

Gender         cola             milk               water       total

Boys             12                 16                      4              32

Girls              14                   5                      9            28

Altogether cola = 14 + 12 = 26

Answer:

26

Step-by-step explanation:

answer is 26

trust

1. Tell whether each function is linear or not.

A.6x2 = 12. Yes/no

B.3xy=27 Yes/no

C.-2(x+y)+9=1. Yes/no


D.4-3y = 2x +9. Yes/no

Answers

no no yes yes

please mark brainliest

Anybody know the slope to this?

Answers

the slope is -2. To find slopes you do rise/run between each point. In this it rose 2 and ran 1 and the direction of the line is negative.

-2(n - 12) + 1 = -2n + 25 how many solutions can be found

Answers

Answer: One

Step-by-step explanation:

​Yesterday,
grace drove 35 1/2used
gallons 1 1/4 of gasoline. What is the unit rate for miles per​ gallon?

Answers

Answer:

The unit rate for miles per gallon is 33.75. 33.75 as a fraction 135/75

Step-by-step explanation:

35.5 divided by 1.75 is 33.75

33.75 as a fraction is 135.75 which is an improper fraction

So you have to divide the numerator by the denominator

135 divided by 75 is 1.8 as a decimal

Answer:

28.4

Step-by-step explanation:

35 1/2 miles over 1 1/4 gallons of gasoline. 1 1/4 converted into an improper fraction is 5/4, so you multiply the numerator and denominator by 5/4. You need to multiply by 5/4 because you need to get to miles per gallon, which equals to 1. (A fraction multiplied by its reciprocal will always equal 1) once you've multiplied the numerator and denominator by the reciprocal, your answer will be 28.4 - hope this helped!

Gianna is working two summer jobs, making $12 per hour washing cars and $8 per
hour landscaping. Last week Gianna worked a total of 5 hours and earned a total of
$48. Graphically solve a system of equations in order to determine the number of
hours Gianna worked washing cars last week, x, and the number of hours Gianna
worked landscaping last week, y.

Answers

Answer:

x + y = 5

12x + 8y = 48

x = -y + 5

12(-y + 5) + 8y = 48

-12y + 60 + 8y = 48

-4y + 60 = 48

-4y = -12

y = 3

x + 3 = 5

x = 2

12(2) + 8(3) = 48

24 + 24 = 48

x = 2 hours of washing cars

y = 3 hours of landscaping

Hope this helps!!

- Kay

The value of x and y should be 2 and 3.

Calculation of the value of x and y:

Since Gianna is working two summer jobs, making $12 per hour washing cars and $8 per hour landscaping. Last week Gianna worked a total of 5 hours and earned a total of $48.

So here the equation should be

x + y = 5

12x + 8y = 48

we can write as

x = -y + 5

So,

12(-y + 5) + 8y = 48

-12y + 60 + 8y = 48

-4y + 60 = 48

-4y = -12

y = 3

Now

x + 3 = 5

x = 2

Therefore, The value of x and y should be 2 and 3.

Learn more about equation here: https://brainly.com/question/1564293

Elmer goes to the store and buys a pair of sunglasses for $65. The
store is running a discount of 20%. What is the price of the pair of
sunglasses after the discount?

Answers

Answer:

$52

Step-by-step explanation:

Dicount: 20%

Discounted price: 80%

80% x $65 = $52

Topic: Percentage

If you would like to find out more, you can check out my insta (learntionary) I do post tips / notes. Notes for this topic have been posted already. you can take a look if you want to thanks

65 times .20 is 13 dollars. So now you subtract 13 from 65. Your answer is 52

what's the error and the solution ​

Answers

Answer:

the error is the last step. and the solution is 9

Step-by-step explanation:

8-5c=-37

-8         -8

-5c/-5 = -45/-5

c= 9                               i hope that helps you bobby:)

How many quarts is 10 pints?

Answers

Answer:

5

Step-by-step explanation:

I used google

5 quarts are in 10 pints

Is 78 − –5 positive or negative?

Answers

Answer: it would be a positive

Answer:

the answer is positive because 78 is bigger than -5

Step-by-step explanation:

One jug of powdered plant food treats an area of 140 square feet of flowers. How many jugs would be needed to treat an area of 175 square feet?

Use a graph plz!

Answers

Answer:

Step-by-step explanation:

Let [tex]n[/tex] and [tex]A[/tex] the number of jugs and the area of flowers, measured in jugs and square feet. We assume that exists a direct relationship between both variables. That is:

[tex]A \propto n[/tex]

[tex]A = k\cdot n[/tex] (1)

Where [tex]k[/tex] is the proportionality constant, measured in square feet per jug.

If we know that [tex]n = 1\,jug[/tex] and [tex]A = 140\,ft^{2}[/tex], then the proportionality constant is:

[tex]k = \frac{A}{n}[/tex]

[tex]k = 140\,\frac{ft^{2}}{jug}[/tex]

Then, the relationship between both variables is represented by:

[tex]A = 140\cdot n[/tex]

If we know that [tex]A = 175\,ft^{2}[/tex], then the minimum number of jugs needed to treat the area is:

[tex]n = \frac{175\,ft^{2}}{140\,\frac{ft^{2}}{jug} }[/tex]

[tex]n = 1.25\,jugs[/tex]

Since jugs represents a discrete set, then we round this number up to the next integer. In other words, we find that 2 jugs are needed to treat an area of 175 square feet.

Lastly, we present a graph to estimate the minimum value of jugs:

USE THE INFORMATION AT
THE RIGHT TO SORT THE
STATEMENTS AS EITHER TRUE
OR FALSE.
A local restaurant serves 8 entrees for every 5
desserts. Which combination of entrees and
desserts does the restaurant serve?
The restaurant could serve
40 trees and 26 deuters
The restaurant could servo
240 destorte and 150 entret
The restaurant could serve
24 entrees and 20 desserts
DRAG
THESE
The restaurant could serve
30 douters and 48 antros
The restaurant could serve
64 ontroos and 40 desterte
The restaurant could serve
98 antrees and 60 desterts.
PROPORTIONS AND PERCENTS
TRUE
FALSE

Answers

Answer:True

Step-by-step explanation:

How far is 75% of 2000 km trip

Answers

Answer:

1, 500km

Step-by-step explanation:

[tex] \frac{75}{100} \times 2000 \\ \\ = 1500[/tex]

Answer: 1,500km

Step-by-step explanation:

Which of the following correlation coefficients would represent the strongest correlation?

.84

-0.56

0.12

-0.91

Answers

I think its -.91 I don’t know if its correct but doesn’t hurt to try?

Tom is a lawyer who makes $132,000 per year. If his legal assistant, Alec, makes 53% of his salary, find Alec’s salary.​

Answers

Answer: 69,960

Step-by-step explanation: all you have to do is divide 132,000 by 53%.

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