1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vikki [24]
3 years ago
8

The measure of angle X is 18 more than three times the measure of its complement. Find the measure of angle X. 

Mathematics
1 answer:
Ymorist [56]3 years ago
6 0
The complement of an angle is 90 minus the angle, or

90 - x = complement angle

if x is 18 more than 3 times it's complement, then

x = 3(complement angle) + 18

We can substitute "90 - x" for the "complement angle" in the second equation:

x = 3(90 - x) + 18

distribute the 3 to the 90 and the x

x = 270 - 3x + 18 

add 3x to both sides

4x = 270 - 18
4x = 252
x = 63

the measure of angle x is 63 degrees
You might be interested in
Can u help me with these anwsers
nydimaria [60]
Check your work here:
1)7/8.
7/8=0.875 and 3/4=0.75
2)3/20.
3/20=0.15 and 12.5%=0.125
3)48.4
increase by 10% means you multiply 44 by 100%+10% or 110% to get 48.4
4)612
decrease by 10% means you multiply 680 by 100%-10% or 90% to get 612
5)36,36,60
132/(3+3+5)*3,132/(3+3+5)*3,132/(3+3+5)*5
6)9.6,22.4
32/10*3, 32/10*7
7)20
14/0.7
8)31.5
18/4*7
9)17/12
2/3=8/12, 3/4=9/12 8/12+9/12=17/12
10)15/4
5*3/4
11)8
2^2+2*2=4+4=8
12)0
(-2)^2+(-2)*2=4-4=0
13)3
3(x-3)=0,(x-3)=0,x=3
14)2/5 or 0.4
5x+1=3,5x=2,x=2/5
15)5n+2
The sequence difference is 5 and the first term is 7
16)20
6(3)+2=18+2=20
17)-5
4(-2)+3=-8+3=-5
18)1
the coefficient of x is 1
19)4pi or 12.56
area of a circle is r^2*pi=2^2*pi=4pi
20)14pi or 43.96
circumference of a circle=2r*pi=2*4*pi=14pi
8 0
3 years ago
michelle bought 4 gallons of grape juice and 5 gallons of apple juice for a party what is the ratio of gallon of apple juice to
just olya [345]

Answer:

5:4

Step-by-step explanation:

Have A Great day

4 0
2 years ago
F(x) = x3 – 4x² - 6x – 32 at x = 6
scoundrel [369]

Answer:

X= 140

Step-by-step explanation:

f(x) = x3 – 4x² - 6x – 32 at x = 6

(6)(6)(6) -4²=72

-6(6)-32= -68

72+68=140

3 0
3 years ago
The taxi fare in Metropolis is $3.75 for the first mile and additional mileage charged at the rate of $0.30 for each additional
Alexxx [7]

Answer:

Total charge

=

$

4.25

+

$

1.50

(

m

−

1

)

Total charge for 12 miles  

=

 

$

20.75

Explanation:

Building the rule

The trick with algebra is to think what you would do with numbers, then substitute letters.

Mile number 1 costs

$

4.25

The rest of the miles

⇒

(

total miles

−

1

)

×

$

1.50

Putting this all together we have:

$

4.25

+

(

total miles

−

1

)

×

$

1.50

The question instructs that we are to use the letter m for the total miles so we now have:

$

4.25

+

(

m

−

1

)

×

$

1.50

This would be written as:

$

4.25

+

$

1.50

(

m

−

1

)

So

 Total charge

=

$

4.25

+

$

1.50

(

m

−

1

)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Determine the charge for 12 miles

Total charge

=

$

4.25

+

$

1.50

(

12

−

1

)

Total charge

=

$

4.25

+

$

1.50

(

11

)

Total charge for 12 miles

=

$

4.25

+

$

16.50

 

=

 

$

20.75

Hope this helps you...

:)

7 0
3 years ago
Read 2 more answers
Select all possible solutions for 2x+7 is less than or equal to 3x-5
Soloha48 [4]
X\geq12
6 0
3 years ago
Other questions:
  • 2. Make a conjecture:<br> What do you think is the measure of the<br> angle of rotation?
    14·1 answer
  • What is 65,321 rounded to the nearest ten thousand?
    5·2 answers
  • Total no of whole number of that have less than 1000 and divisble by 7​
    12·1 answer
  • A coin is weighted so that the probability of heads is 0.64. On average, how many coin flips will it take for the tails to first
    6·1 answer
  • Please help!!!!
    13·2 answers
  • Problema 6 Descompongan los siguientes números en factores primos. ¿Es posible encontrar, para cada número, más de una descompos
    11·1 answer
  • What is the solution set for -4x-10 ≤ 2?
    10·2 answers
  • Bacteria multiply at an alarming rate when bacteria splits into two new cells, thus doubling. If we start with only one bacteria
    6·2 answers
  • Are there any inputs that cannot be evaluated by the function 6/x-3?
    11·1 answer
  • For every 1 sheet of paper you have 4 markers. You have 10 sheets of paper. How many markers do you have?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!