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.
The ratio of Red Apples to Green Apples is 5:2. The proportion of red apple is 5/7.
The store sold 45 red apples.
So the combined amount of red and green apples sold = No of red apples sold divided by the proportion of red apples = 45/ (5/7) = 63
The combined amount of red and green apples sold is 63 apples.
Answer:
Sam made it -24 versus 24 (29-5=24 not -24)
(Sam failed to flip the inequality)
Step-by-step explanation:
-4x + 5 > 29
Subtract 5 from each side
-4x+5-5 > 29-5
-4x > 24 Sam made it -24 versus 24 (29-5=24 not -24)
Divide by -4 Remember to flip the inequality
-4x/-4 < 24/-4 (Sam failed to flip the inequality)
x < -6
C. 52
Work:
(5x - 22) + (4x + 4) = 90
9x - 18 = 90
9x = 108
x = 12
4(12) + 4 =
48 + 4 = 52
