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
LenKa [72]
2 years ago
11

Please help with geometry

Mathematics
2 answers:
coldgirl [10]2 years ago
5 0

Answer:

x = 8

Step-by-step explanation

Complimentary angles have a sum of 90*. Thus when adding the two equations together, we must get 90*.

7x + 17 + 3x - 7 = 90                Combine like terms

10x + 10 = 90                           Subtract 10 on both sides

10x = 80                                   Divide both sides by 10

x = 8

AnnZ [28]2 years ago
5 0

Answer:

x = 8

Step-by-step explanation

Complimentary angles have a sum of 90*. Thus when adding the two equations together, we must get 90*.

7x + 17 + 3x - 7 = 90 Combine like terms

10x + 10 = 90 Subtract 10 on both sides

10x = 80 Divide both sides by 10

x =8

You might be interested in
3) Mr. Wright is going to do an experiment and needs a volunteer r. Josh, Eddie, Jordan, Brent, Alice, Betsy, and Marcus all wan
Zina [86]
Ok there is 7 students in total… the ratio of boys to girls is 5 to 2, so 5 divided by 7 is 0.714%
5 0
2 years ago
I use 1.48 inches of ribbon to make 4 necklaces. How much ribbon did I use for each necklace?
grin007 [14]
0.37 inches on each necklace or 37/100.

You just need to do 1.48 divided by 4.

Hope this helps !!!
You should go to sleep soon you have school tomorrow!!
Also make sure you ate today !
7 0
3 years ago
What is the equation of the line that passes through the point (-1, -5) and has a slope of -2?
Kruka [31]

Answer:

y = -2x -7

Step-by-step explanation:

y + 5 = -2 (x +1)

y + 5 = -2x -2 . move 5 to the other side by subtracting from both sides.

y = -2x -7

8 0
3 years ago
The bearing from the Pine Knob fire tower to the Colt Station fire tower is N 65°E and the two towers are 30 kilometers apart. A
Novay_Z [31]

Answer:

The distance of fire from Pine Knob fire tower is 42.43 km

The distance of fire from Colt Station fire tower is 15.53 km

Step-by-step explanation:

Consider point A as Pine Knob fire tower and Point B as Colt Station fire tower. So the distance between both towers that is AB is 30 km.  

Now both fire tower  are located at a bearing of N65°E. That is at point A from north, Colt station fire tower is located at an angle of 65° towards east.

From ranger on Pine knob tower, fire spotted makes bearing of N80°E. That is at point A from north fire is located at an angle of 80° towards east.

Similarly, from ranger on Pine knob tower, fire spotted makes bearing of S70°E. That is at point B from south fire is located at an angle of 70° towards east.  

Now calculate \theta_{1}=\angle BAC and \theta_{2}=\angle ABD as follows,  

For \theta_{1}=\angle BAC

\angle XAC=\angle XAB+\angle BAC

\therefore 80\degree=65\degree+\angle BAC

\therefore \angle BAC=15\degree

For \theta_{2}=\angle ABD

By using alternate angle property,

\ angle XAB =\angle ABD=65\degree

Refer attachment 1.  

From diagram consider the triangle ABC. To find the third angle that is \angle BAC can be calculated by using angle sum property of triangle.  

\angle BAC+\angle ABC+\angle BCA=180\degree

\therefore15\degree +135\degree +\angle BCA=180\degree

\therefore \angle BCA=30\degree

Refer attachment 2.  

Sine rule for the \Delta ABCcan be applied as follows,  

\ddfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}

Substituting the values,

\dfrac{\sin 15}{a}=\dfrac{\sin 135}{b}=\dfrac{\sin 30}{30}

Now distance AC and BC can be calculated as follows,  

For distance AC,  

\dfrac{\sin 135}{b}=\dfrac{\sin 30}{30}

Cross multiplying,  

30\times\sin 135=b\times\sin 30

\dfrac{30\times \sin 135}{\sin 30}=b

b=42.43\:km

The distance of fire from Pine Knob fire tower is 42.43 km

For distance BC,  

\dfrac{\sin 15}{a}=\dfrac{\sin 135}{42.43}

Cross multiplying,  

42.43\times\sin 15=a\times\sin 135

\dfrac{42.43\times \sin 15}{\sin 135}=a

a=15.53\:km

The distance of fire from Pine Knob fire tower is 15.53 km

6 0
3 years ago
Lisa's penny bank is 1/10 full. After she adds 440 pennies, it is 3/5 full. How many pennies can Lisa's bank hold?
aksik [14]

Answer:

Step-by-step explanation:

After the 440 pennies are added, the bank is 3/5 full.  It started out 1/10 full, so

3/5 - 1/10 is the amount of space in the bank that the 440 pennies took up, or

1/2.  Use proportions to solve this, with number of pennies on the top and the fraction of the bank that is filled on the bottom:

\frac{440}{\frac{1}{2} }=\frac{x}{1}

where x is the number of pennies (our unknown) that it will take to fill the bank (1).  Cross multiply to get

\frac{1}{2}x=440

so x = 880

4 0
3 years ago
Other questions:
  • teddy brings snacks and ice cream while they wait for santa to arrive on christmas eve if the ice cream has 1250 calories for 5
    8·1 answer
  • 1/1.5 = 1/2.0 + 1/c<br><br><br><br> find c and please please show all your work
    10·1 answer
  • How to write 6/10 in a simple form
    5·2 answers
  • Let p: x = 4 Let q: y = −2 Which represents "If x = 4, then y = −2”?
    14·1 answer
  • Wyd? Can u help with these plz
    11·2 answers
  • Someone help with this <br> !!!
    15·1 answer
  • How to find a circumference of a circle​
    9·2 answers
  • How would you describe a polynomial to some new algebra students
    12·1 answer
  • Help plsssssssssssssssssssssss thanks so much
    6·1 answer
  • 6a = 3/10 what is the answer
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!