Answer:
w = 32
Step-by-step explanation:
Remark
The value of the exterior angle (marked w + 33) = the sum of the two angles not connected to it. w and w + 1
Equation
w + w + 1 = w + 33
Solution
2w + 1 = w + 33 Subtract w from both sides.
2w - w + 1 = 33 Combine
w + 1 = 33 Subtract 1 from both sides.
w = 33 - 1
w= 32
Answer:
please give me brainiest
Step-by-step explanation:
8cm are the one that is shaded and go get your self someone more than my Sista
9514 1404 393
Answer:
6 : 4
Step-by-step explanation:
The product of the ratio values is 3×2 = 6. This means the two numbers will have a GCF of 12/6 = 2. So, the two numbers are ...
3×2 : 2×2 = 6 : 4
_____
I think of GCF and LCM problems in terms of a "diagram" that looks like this:
(a [ b ) c ]
That is, the two numbers can be written in a form such that one is (a·b), the other is [b·c], their greatest common factor is b, and their least common multiple is a·b·c.
The ratio of the two numbers would be a : c. The product ac differs from the LCM by a factor of b, the GCF. Of course, b = abc/(ac), which is how we got the above answer.
Answer:
90
Step-by-step explanation:
x
−
12
y
=
−
210
=
=
−
210
x
−
6
y
=
90
=
=
90
x
=
=
90
X= number of dimes
x+6= number of quarters
5(x+6)= number of nickels
$5.40= 540 cents
Add the number of each coin and set it equal to the total in cents.
x + (x + 6) + 5(x + 6)= $5.40
multiply 5 by parentheses; change dollar total to cents
x + (x + 6) + (5 * x) + (5 * 6)= 540
x + (x + 6) + 5x + 30= 540
combine like terms
7x + 36= 540
subtract 36 from both sides
7x= 504
divide both sides by 7
x= 72 dimes
x + 6= 78 quarters
5(x + 6)= 390 nickels
CHECK
72 + 78 + 390= 540
540= 540
ANSWER: There are 72 dimes, 78 quarters and 390 nickels.
Hope this helps! :)
