Answer: -2x+7y+16
Step-by-step explanation:
1. Distribute 2 through the parentheses
- 4x+6y+3(5-2x)+1+y
- 4x+6y+15-6x+1+y
2. Collect like terms
- -2x+6y+15+1+y
- -2x+7y+15+1
- -2x+7y+16
3. Solution, -2x+7y+16
Answer:
∠GEF = 25
Step-by-step explanation:
Here, we want to find the value of the marked angle
Please check the attachment for the diagrammatic representation of the triangle
Mathematically, the sum of opposite interior angles equals the exterior angle
We can have this sum as follows;
∠EFG + ∠GEF = ∠FGH
Thus;
2x + 1 + x + 19 = 6x + 2
3x + 20 = 6x + 2
6x-3x = 20-2
3x = 18
x = 18/3
x = 6
Now , substitute x into the ∠GEF
That will be;
6 + 19 = 25
Given:
m/n-3(m+n)
m=-10 and n=-2
Solving:
-10/-2-3(-10-2) Since m=-10 and n=-2, we substitute them in for the values since they have an equal relationship.
Now, follow Orders of Operations: PEMDAS
-10/-2-3(-12) Simplify parentheses (P)
There are no Exponents (E)
Multiplication (M) and Division (D) are =, so we do whatever operation comes from the left to right.
-10/-2=5 Division comes first on the left.
therefore:
5-3(-12)
-3(12)=-36, Multiplication is last on the right.
therefore:
5-36
5-36=-31 After M/D, we do Addition and Subtraction, which are also =, so we do them left to right.
Therefore -10/-2-3(-10-2)=-31
Percent means parts out of 100
so 25%=25/100=5/20=1/4
'of' means multiply
so 25% of 64 means
1/4 times 64 or
64/4 or
32/2 or
16
5 : 7 = 5x : 7x
Sum of a pair <span>of consecutive angles of a parallelogram = 180⁰.
5x+7x=180
12x = 180
x= 15
5x=15*5 = 75⁰
7x=15*7 = 105⁰
Two angles are 75⁰ each,
and 2 angles 105⁰ each.
Check:
Sum of angles in the </span><span>parallelogram is 360⁰.
</span><span>75*2 + 105*2 = 360
360 = 360 True
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