Answer:
+) m∠1 = m∠2 (vertical angles theorem)
+) m∠2 and ∠3 are supplementary (because a//b)
+)m∠3 = m∠4 (alternate interior angles theorem, c//d)
=> ∠1 and ∠4 are supplementary (substitution property of equality)
Step-by-step explanation:
Answer:
The pattern is subtract 9 (OR -9)
Step-by-step explanation:
100 - 91 = 9
91 - 82 = 9
82 - 73 = 9
Glad I could help! Feel free to mark brainliest!
Answer:
605 boys
Step-by-step explanation:
If the ratio of boys to girls is 5:7
and there are 847 girls
we can plug this value into the ratio by doing something like:
5:7
= 5/7
= x/847
Because the ratio has to be the same, we can substitute x for the number of boys and solve by the cross method or whatever you guys call it.
5 x
--- x ------
7 847
The x in the middle is just to show the direction you are multiplying.
the 5 is multiplied by the 847 and the 7 is multiplied by x.
847 * 5 = 4,235
4,235 divided by 7 is 605
605 is your answer.
The cross method can be used in most situations.
* is used to represent multiplication btw
Answer: 9.73 lb each chair
Step-by-step explanation:
You substract the weight of the table alone from the full weight:
235.68 - 157.84=77.84
Then you divide 77.84 by 8 chairs and you obtain the weight of each individual chair
77.84/8= 9.73 the weight of each individual chair
PART A:
The given quadratic equation is 2x²-10x-8=0
The radicand is given by b²-4ac where a, b, and c are the constants in a quadratic form ax²+bx+c
From the given equation, we have
a = 2
b = -10
c = -8
Radicand b²-4ac = (-10)² - 4(2)(-8) = 100 + 64 = 164
The radicand is >0 hence the quadratic equation has two distinct roots
PART B:
4x²-12x+5 = 0
We can use the factorization method to solve the equation
Firstly, we multiply 4 by 5 to get 20
Then we find the pair of numbers that multiply gives 20 and sum gives -12
The pair of number is -2 and -10
Rewriting the equation
4x²-2x-10x+5 = 0
2x(2x-1)-5(2x-1) = 0
(2x-1)(2x-5) = 0
2x-1 = 0 and 2x-5 = 0
x = 1/2 and x = 5/2
