Answer:
Can't help if its an exam, check the honor code.
Answer:
x=8
Step-by-step explanation:
-5(x-3)=-25
Divide each side by -5
-5/-5(x-3)=-25/-5
x-3 = 5
Add 3 to each side
x-3+3 = 5+3
x = 8
Answer:
(1) Area of second triangle= 50 cm^2.
(2) Area of ΔABC=98 cm^2.
and Area of ΔDFG=175 cm^2.
Step-by-step explanation:
<em>" For two similar triangles the ratio of sides is equal to the ratio of square of their areas".</em>
i.e. if a,b are the corresponding sides of two similar triangles and let A and B denote the area of two triangles then we have the relation as:

(1)
for the first question:
we have a=2, b=5.
A=8 cm^2.
Hence,

B=50 cm^2.
Hence, the area of second triangle is 50 cm^2.
(2)
In second option we have:
a=6 and b=5.
A-B=77 cm^2.
A=77+B

Hence area of second triangle i.e. ΔDFG is 175 cm^2.
and area of first triangle i.e. ΔABC=175-77=98 cm^2.
Answer:
D. false; if a = 1, b = 2, and c = 3, then 1(2 + 3) ≠ 1(2) + 2(3)
Step-by-step explanation:
A is false, because the a is being distributed/ being multiplied to all terms inside the parenthesis, and not the term b.
B is also false. There is no indicated negative signs.
C is also false because 1(1 + 1) is EQUAL to 1(1) + 1(1)
D is true.
The right answer is Option C.
Step-by-step explanation:
Given word problem is;
Two more than three times a number is at least eight
Let,
n be the number.
Times a number = 3n
Two more means addition;
Two more than three times a number = 3n+2
At least eight means that it can either be 8 or more.
Therefore,
3n+2≥8 is the solution set.
The right answer is Option c.
Keywords: linear inequality, solution set
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