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
Allushta [10]
3 years ago
11

The sum of two angles is 90°. The difference of twice the larger angle and the smaller angle is 105º. The system of linear equat

ions:
x + y = 90
2x - y = 105
represents this situation where x is the larger angle and y is the smaller angle. Find the measures of the two angles.
SHOW YOUR WORK!!​
(this is linear combinations)
Mathematics
2 answers:
denpristay [2]3 years ago
4 0

Answer:

  • x = 65, y = 25

Step-by-step explanation:

<u>Given system of linear equations:</u>

  • x + y = 90
  • 2x - y = 105

<u>Add up the equations to eliminate y:</u>

  • x + 2x = 90 + 105
  • 3x = 195
  • x = 65

<u>Find y:</u>

  • y + 65 = 90
  • y = 90 - 65
  • y = 25
monitta3 years ago
4 0

Answer:

x = 65 and y = 25

Step-by-step explanation:

x + y = 90 ------ 1

2x - y = 105 ------2

Solving by using elimination method,

x + y = 90

2x - y = 105

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

3x = 195

x = 65

Thus, y = 90 - x

y = 90 - 65

y = 25

<em>Hope</em><em> </em><em>this</em><em> </em><em>helps</em><em> </em><em>:</em><em>)</em>

You might be interested in
SOMEONE PLSS HELPPPPPPPP
garri49 [273]
Probability is 0/12 since there are no blue lollipops in the bag.
7 0
3 years ago
Read 2 more answers
Problem solving your family has a rectangular pool that measures 18 feet by 9 feet. your family wants to put a deck around the p
tester [92]
Let w be the width of the deck. Then, using the total area, we get:
(9+2w)(18+2w)=400
4w²+54w-238=0
2w²+27w-119=0
(2w-7)(w+17)=0
w=-17 or 7/2
Using the positive value, we get a width of 3&1/2 ft. for the deck
☺☺☺☺
7 0
3 years ago
Can someone help me please
Ulleksa [173]

In geometry, there is a theorem that states: The measure of an angle formed by two secants, two tangents, or a secant and a tangent drawn from a point outside a circle is equal to half the difference of the measures of the intercepted arcs


Therefore, this problem has two secants, so m∠x= 1/2(141-25)

m∠x=1/2(116)

m∠x=58


Hope this helped :)

6 0
3 years ago
Read 2 more answers
You sell small and large candles at a craft fair. You collect $144 selling a total of 28 candles. How many of each type of candl
Oliga [24]

6 large candles

1 small candles

7 0
3 years ago
Find the surface are of a square prism with a side measure of 10
Anna007 [38]
It would be 600 because there are 6 faces in a square prism(cube) so if each side is 10 then each face is 100 so 6 times 100 is 600
6 0
3 years ago
Other questions:
  • 9 to the x-5 power=27
    9·2 answers
  • roberta deposited 4,790.23 into a saving account with an interest rate of 3.8% compunded twice a year. about how long will it ta
    8·2 answers
  • The expression x−y equals 0.7 if x and y have certain values. Evaluate the following expressions with the same values of x and y
    6·1 answer
  • For every 9 customers, the chef prepares 2 loaves of bread. How many loaves are needed for 63 customers?
    8·2 answers
  • Please help with 3 thank you!
    5·1 answer
  • Can someone please help me​
    14·1 answer
  • A restaurant chain with multiple branches would like to measure the effectiveness of a customer skills training program for its
    9·1 answer
  • Want two numbers multiply to get -30 and add to get -13
    10·1 answer
  • Pls help me on my beestar
    14·2 answers
  • What is equivalent to (-3)^-^3
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!