Since the two fractions have the same denominator, we can add the numerators together, which is how the 5/6 fraction is created.
2 5/6
A triangle has an angle that measures 80°. The other two angles are in a ratio of 7:13. What are the measures of those two angles?
Answers
You can make a system of equation using the fact that all angles in a triangle need to add up to 180 and that 7:13 can be thought of as 7/13. lets make one angle a and the other angle b.
a+b=100 (a+b+80=180) a÷b=7/13
You can solve for a in the second equation to get a=7b/13 and then you can substitute that in for a in the first equation to get (7b/13)+b=100 and then solve for b as follows. (7/13)b+b=100 b(7/13+1)=100 b(20/13)=100 b=65 You can then solve for a in from plugging in b to the first equation to get a=35. Therefore the 2 other angles are 35° and 65°.
You can prove this by showing that 35+65+80=180 and that 35/65=7/13.
I hope this helps. Let me know in the comments if anything is unclear.
BRIAN IS DRIVING 324 MILES TO VISIT SOME FRIENDS.HE WANTS TO GET THERE IN 6 HOURS. HOW MANY MILES DOES HE NEED TO DRIVE EACH HOUR?
Answers
If you would like to know how many miles does Brian need to drive each hour, you can calculate this using the following steps:
324 miles ... 6 hours x miles = ? ... 1 hour
324 * 1 = 6 * x 324 = 6 * x /6 x = 324 / 6 x = 54 miles
Result: Brian needs to drive 54 miles each hour.
you have to divide 324 ÷ 6 which equals 54 miles
5z – 8 = 32 please answer
Answers
add 8 to both sides 5z = 40 divide both sides with 5 z = 8
Z=8
The reason i know this is: 5z-8=32 add 8 to both sides 5z - 8 = 32 + 8 +8 (the -8+ 8 get taken off.) So you have left 5z=40 divide 5z = 40 ---- ------ 5 5 the 5's get crossed out and divide 40 by 5 and you'll get 8 :)
Which two points on the number line represent numbers that can be combined to make zero?B and D A and B C and D A and C
Answers
Answer:
B and D
Step-by-step explanation:
Answer:
Can you please help me on problem 4 and 5 of my teacher created problem.
Answers
4. Area of a disk of diameter D :
Assuming that you use the usual convention of rouding 5 to the greater number :