So x + y = 45, and 4x + 5y = 195. Get y by itself. Subtract x from both sides in the first equation to get y = 45 -x, and subtract 4x from the second equation to get 5y = 195 - 4x. Divide by 5 to both sides to get y = 39 - 4/5x. 39 - 4/5x = 45 - x. Add x to both sides to get 39 - 1/5x = 45. Subtract 39 from both sides to get -1/5x = 6. Divide by -1/5 to get x = -30, or 30. In the first equation, do 30 + y = 45. Subtract 30 from both sides to get y = 15. Check. 4(30) + 15(5) = 195, or 120 + 75 = 195.
Answer:
Statement 3: DC=CD (Common)
Step-by-step explanation:
According from the statement given, consider ΔADC and ΔBCD, we get
AD=BC(opposite sides of a rectangle are congruent)
∠ADC=∠BCD(angles of a rectangle are 90°)
DC=CD(Common)
Thus, by SAS rule, ΔADC≅ΔBCD and by CPCTC AC=BD.
Thus, Statement 3 that is using the common sides of the triangle jimmy can prove the proof.
Answer:
x=3
Step-by-step explanation:
To solve for x in the given equation,follow the steps below.
2-(3x-4)=2x-9
clear bracket
2-3x+4=2x-9
6-3x=2x-9
collect like-terms
2x+3x=6+9
5x=15
divide bothsides by 5
Add all bead colors up
42+28+12+18=100
add up yellow and green
42+28=70
now find out how many beads are not yellow or green by subtracting that from 100
100-70=30
so the first answer is 30/100 -> 3/10 -> 30%
now add up red and green beads
28+18=46
so your next answer is
46/100 -> 23/50 -> 46%
