let the goldfish be x and the guppies be y
4x + 3y = 29...equ(1)
3x + 5y = 30...equ(2)
multiplying equation 1 by 5 and equation 2 by 3
20x + 15y = 145...equ(1)
9x + 15y = 90...equ(2)
subtracting equation 2 from 1
11x = 55
∴x = 5
substituting the value of x into equation
4(5) + 3y = 29
20 + 3y = 29
3y = 9
∴y =3
We have measures of all tree sides of the both triangles,
so we can use SSS to check if the triangles are similar.
|ED|/|AB| =5/10=1/2
|DC|/|BC| = 4/8 = 1/2
|EC|/|AC| = 6/12 = 1/2
We see that all tree pairs are in proportion, so these triangles ΔABC and ΔEDC are similar.
We have enough information to prove that ΔABC similar to ΔEDC.
The total fabric used for headband and wristband of a player was: 27.84 inches
Step-by-step explanation:
The question will be solved step by step.
So,
Total ribbon used for headbands = 883.68 inches
Total number of people for whom headbands were made = 46 players + 2 coaches = 48 inches
so the headband for one person will use fabric:
Then
Total fabric used for wristbands = 433.78 inches
Total players = 46
Total fabric for one player = 18.41 + 9.43 = 27.84 inches
Hence,
The total fabric used for headband and wristband of a player was: 27.84 inches
Keywords: Fractions, decimals
Learn more about fractions at:
#LearnwithBrainly
ythe base of the triangle is 15 + 8 = 23 feet
and the angle is 50 degrees
to find the height of the street lamp
multiply the base ( 23) by the Tan(50)
tan(50) x 23 = 27.41 feet rounded to nearest foot would be 27 feet
