~-2.15139............ hope it helps
Answer:
m<3 = 108
Step-by-step explanation:
Since <1 and <2 are supplementary, the equation is:
<1 + <2 = 180
Since <1 and <3 are vertical angles. the equation is:
<1 = <3
To find m<3:
<2 + <3 = 180
72 + <3 = 180
<3 = 180 - 72
<3 = 108
1.5 quarts of 20% fruit juice and 4.5 quarts of 100% fruit juice.
Step-by-step explanation:
Let x be the number of quarts of 100% fruit juice
Let y be the number of quarts of 20% fruit juice
The equation for amount of quarts is ;
x+y=6
x=6-y-------------------equation 1
The equation for the amount of quarts of fruit juice to get 80% fruit juice will be;
x(100%)+y(20%)=80%------however you need to make 6 quarts so divide first portion of equation by 6
{x(100%)+y(20%) }/6=80%
Multiply both parts of the equations by 6
x(100%)+y(20%)=480% --------------equation 2
Use equation 1 in 2
(6-y)(100%)+y(20%)=480%
600-100y+20y=480
600-80y=480
600-480=80y
120=80y
120/80 =y
1.5=y
Use the value of y in equation 1
x=6-y , x= 6-1.5=4.5
So you have,
1.5 quarts of 20% fruit juice and 4.5 quarts of 100% fruit juice.
Learn More
Mixtures equations;brainly.com/question/11898822
Keywords : quarts,party,bottles,punch
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Answer:
m<ABC=40
Step-by-step explanation:
Ok so we need to break up this problem.
m<ABC=4x
m<BCA=7x-20
m<A= 90 degrees (We are given a right angle here)
Because of the Triangle Sun Theorem, all the angles here would add up to 180 degrees. So..
4x+7x-20+90=180
Solve
x=10
Then we look back and see that m<ABC is 4x
We plug in x
4(10)=m<ABC
m<ABC=40
