Answer:
1)B:63°
2)A:59°
Step-by-step explanation:
1.ABC is a right triangle at C then angle ACB=90°(right angle)
Angle CAB=27°(see the given)
measure of the angles in any triangle is 180°
then angle CBA=
measure of all the angles - (measure ACB+measure CAB)
=180°-(90°+27°)
=63°
2. Same explanation of angle B:
in the right triangle DEF: angle DEF=90°
angle D=31°(given)
Then measure of angle A=180°-(angle E + angle D)
=180-(90+31)=59°
So for me, how I would do it is move the variables and numbers to one side. So we have the equation 3x-3=2/5x+7. So you would subtract 2/5x to the left side and add 3 to the right side. The equation will then turn out to be 3x-2/5x=7+3. Much more easier right? So just simplify both side, and you will get 13/5x=10. In order to isolate x, you have to divide 13/5 in both side, leaving x= 3 11/13 or 50/13. You can always plug the answer back in to double check :)
Answer:
6 ice cream cones
Step-by-step explanation:
Convert 20 quarters and 12 dimes into dollar amounts.
Quarters: 20 × 0.25 = 5.00
Dimes: 12 × 0.10 = 1.20
Now, add up the total amount in coins.
5.00 + 1.20 = $6.20
If ice cream cones cost a $1.00 each, then Simon can buy 6 ice cream cones for $6.00. He will have $0.20 left.