Answer:
Triangles are similar using AAA rule of similarity.
Step-by-step explanation:
Let's take triangle ACD. Where <D =60 degrees. <A =74.9 degrees and let's find <C using angle sum property of a triangle.
Please remember the sum of interior angle of a triangle is 180 degrees.
So, m<D= 180-60-74.9 =45.1 degrees.
Other triangle RST has the two angles as 74.9 degrees and 45.1 degrees.
So, third angle <T= 180-74.9-45.1= 60 degrees.
If we see the angles of a triangle, both has same angle measures.
That's <A= <R
<C= <S
<D= <T
So, the triangles are similar using AAA rule of similarity.
Answer:
12
Step-by-step explanation:
sqrt(6*24)
sqrt(144)
sqrt(12*12)
12
<h3>Explanation:</h3>
We have to find the area of the square shaped room.
<h3>Given:</h3>
Side of the square shaped room = 10 m
The cost of flooring a square metre is Rs. 50
<h3>To Find:</h3>
The cost of flooring a square shaped room.
<h3>Formula:</h3>
Area of square = Side × Side
<h3>Solution:</h3>
Area of the square = 10 × 10 = 100 sq.m
1 sq.m = Rs. 50
100 sq.m = 50(100) = Rs. 5,000
<h2>Answer:</h2>
The cost of flooring a square shaped room of side 10 m is <u>Rs. 5,000</u><u>.</u>
Answer:
45
Step-by-step explanation:
3x+x has to add up to 180
3x+x=180
4x/4=180/4
x=45

Solve the following using Substitution method
2x – 5y = -13
3x + 4y = 15


- To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.

- Choose one of the equations and solve it for x by isolating x on the left-hand side of the equal sign. I'm choosing the 1st equation for now.

- Add 5y to both sides of the equation.


- Multiply
times 5y - 13.

- Substitute
for x in the other equation, 3x + 4y = 15.

- Multiply 3 times
.

- Add
to 4y.

- Add
to both sides of the equation.

- Divide both sides of the equation by 23/2, which is the same as multiplying both sides by the reciprocal of the fraction.

- Substitute 3 for y in
. Because the resulting equation contains only one variable, you can solve for x directly.


- Add
to
by finding a common denominator and adding the numerators. Then reduce the fraction to its lowest terms if possible.

- The system is now solved. The value of x & y will be 1 & 3 respectively.
