We need to solve the system of equations here.
Our main objective is to remove one of the variables.
To do so we can multiply the second equation by 2 and get 2x+4y=-8
Then we can subtract our new equation from the earlier one and get -5y=21
thus we know y=-21/5=-4.2
we plug that back into the equation and find x
2x-(-4.2*3)=13
2x=25.6
x= 12.8
so the solution is 12.8,-4.2
Answer:
Step-by-step explanation:
1. Since, it is given that ABCD is a parallelogram, therefore opposite angles of parallelogram are equal, hence
∠B=∠D
⇒7x-31=5x+13
⇒2x=44
⇒x=22
Hence, option B is correct.
2. Since, we get x=22, therefore
∠B=7x-31=7(22)-31=154-31=123°
∠B=123°
and ∠D=5x+13=5(22)+13=123°
∠D=123°
Also, ∠A+∠D=180°(corresponding angles)
⇒∠A=180-123
⇒∠A=57°
Now, ∠A=∠C=57°(opposite angles of parallelogram)
thus, Two of the angles measure 57°, and the other two measure 123°.
Therefore, option A is correct.
Answer : Hershel buys 2 bags of fruit snacks.
Explanation :
Since we have given that
Number of bags of granola =3
Number of bags of cookies = 5
Total number of bags he buys from the bake sale =10
So, number of bags of fruit snacks = 2
Hence, Hershel buys 2 bags of fruit snacks .
It is a comparison type of word problem.
As we just compare the items with the total items to get the remaining items.
Answer:
(–4)(9)
(6)(–6)
(6)(6)(–2)
Step-by-step explanation:
(–4)(–9)(2)
=36(2)
=72, No
(–4)(9)
=-36, Yes
(6)(6)(–2)
=36(-2)
=-72, Yes
(–6)(–6)
=36, No
(6)(–6)
=-36, Yes
There are 16 ounces in 1 pound and 8 ounces in 0.5 pounds. 16(2)= 42+ 8= 38 ounces