Answer: 7/16 of a yard
Step-by-step explanation:
first we have to find common denominators. 3x=7/8, or 3x=14/16
1/4=4/16 then 14-4-3=7, all over 16.
Answer:
60-36w factored is 12 (5-3w).
Step-by-step explanation:
12 is the GCF of 60 and 36. If you divide 60/12 it is 5 and 36/12, it's 3. That way 60-36w factored is 12 (5-3w).
Step-by-step explanation:
Hey, there!!
you number is: 81/625
We know that,
81=9×9
and
625=25×25
and............................................................
9×9 means 9^2
and 25×25 means 25^2
so, the exponential form of the question is,
=
{we simply find exponential form by finding their fraction}
<em><u>Hope it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>
Answer:
1) 1 2)100 3)6.25.
Step-by-step explanation:
Any trinomial is of the form ax^2+bx+c .
To make the expression a perfect square we take half of b term then square it Add 
This is what we add to make the expression a perfect square.
1)Half of coefficient of x term is 1 .
Square it that is 1 is added to make it a perfect square.
2) Half of coefficient of x term that is 20÷2=10 .Square it that is 100 is added to make it a perfect square.
3) Half of coefficient of x that is 5÷2=2.5.Square it 6.25 is added to the expression to make it a perfect sqauare.
Answer:
x = 7.5
y = 14
m<1 = 87°
m<7 = 93°
Step-by-step explanation:
Given:
m<2 = (14x - 12),
m<6 = (5y + 23),
m<8 = (8x + 27)
m<2 + m<8 = 180° (consecutive exterior angles are supplementary)
(14x - 12) + (8x + 27) = 180 (substitution)
Solve for x
14x - 12 + 8x + 27 = 180
Collect like terms
22x + 15 = 180
Subtract 15 from each side
22x = 180 - 15
22x = 165
Divide both sides by 22
x = 7.5
m<2 = m<6 (corresponding angles are congruent)
(14x - 12) = (5y + 23) (substitution)
Plug in the value of x
14(7.5) - 12 = 5y + 23
105 - 12 = 5y + 23
93 = 5y + 23
Subtract 23 from each side
93 - 23 = 5y
70 = 5y
Divide both sides by 5
14 = y
y = 14
✅m<1 = m<8 (alternate exterior angles are congruent)
m<1 = (8x + 27) (substitution)
Plug in the value of x
m<1 = 8(7.5) + 27 = 87°
m<7 = m<2 (alternate exterior angles are congruent)
m<7 = (14x - 12) (substitution)
Plug in the value of x
m<7 = 14(7.5) - 12 = 93°
