I don't know the area of a parallelogram off the top of my head but you can use the area of the rectangle and the area of the triangle and add those. The area of the triangle is 1/2*base*height and use the pythagorean theorem to find the base. 3² + b² = 5²; 9 + b² = 25; b² = 16; b = 4. The area of the triangle is 1/2*4*3 or 6 in. Since there are two of them, the total area of the triangles are 12 in. The area of the rectangle is length*width or (12 - 4) * 3 which is 8 * 3 or 24in. Add these areas together to get 36in total
The angles are B and C.
The three angles add up to 180º
A=80º
B
C
A+B+C=180º
80º+B+C=180º
B+C=180º-80º
B+C=100º (1)
The ratio between A and B is 7/13 ; therefore:
B/C=7/13 ⇒B=7C/13 (2)
With the equations (1) and (2), we make a system of equations:
B+C=100
B=7C/13
We can solve this system of equations by substitution method:
7C/13 + C=100
least common multiple=13
7C+13C=1300
20C=1300
C=1300/20
C=65
B=7C/13
B=7*65/13
B=455/13
B=35º
Answer: The measures of those two angles are 65º and 35º.
R= -0.1 is the answer. I’m pretty sure!
Answer:
There are 10 dogs in the kennels
Step-by-step explanation:
The equivalent fraction relationship between the number of dogs and cats in the kennels is 1/2.
Which means, if 
the number of dods and 
is the number of cats, then,
Given that there are 20 cats, so 
Now, from equation (i) we have,
.
Hence, there are 10 dogs in the kennels.
Answer:
Step 1; it should be m∠x + m∠y + m∠z = 180 degrees (sum of angles of a triangle)
Step-by-step explanation:
The answer is self-explanatory. The sum of interior angles of a triangle is 180°.
